We are using materials created by the Mathematics Vision Project
Use this link to locate the Mathematics Vision Project curriculum materials.
Use this link to locate Secondary ONE materials. Use this link to locate Secondary TWO materials.
Currently we are in... Constructions Supplemental unit.
Previous Units:
Secondary ONE Module 7: Connecting Algebra and Geometry
Secondary ONE Module 6: Congruence, Construction & Proof
Cathy's Office Hours: Tuesday 3:30-4:30 and Wednesday lunch. Join me.
Use this link to locate the Mathematics Vision Project curriculum materials.
Use this link to locate Secondary ONE materials. Use this link to locate Secondary TWO materials.
Currently we are in... Constructions Supplemental unit.
Previous Units:
Secondary ONE Module 7: Connecting Algebra and Geometry
Secondary ONE Module 6: Congruence, Construction & Proof
Cathy's Office Hours: Tuesday 3:30-4:30 and Wednesday lunch. Join me.
December 16, 2013 ~ Tuesday
1) Today you have class time for PoL preparation and practice.
Use your time wisely to refine your ideas and notecards for your PoL.
2) Hand in the Dilation homework from class yesterday.
3) I will return my comments about your
December 15, 2013 ~ Monday
Today you will investigate the properties of dilations and similar polygons using a
pre-constructed Geogebra lab: "Dilations about center by Scale Factor"
Save LAB File to your Geogebra folder.
Here are the Lab Directions PDF Word
Remember to answer lab questions in your composition book.
Here is the Homework PDF or Word to complete after you have finished investigating the lab.
1) Today you have class time for PoL preparation and practice.
Use your time wisely to refine your ideas and notecards for your PoL.
2) Hand in the Dilation homework from class yesterday.
3) I will return my comments about your
- Culture of Excellence paragraphs
- Circle Designs
December 15, 2013 ~ Monday
Today you will investigate the properties of dilations and similar polygons using a
pre-constructed Geogebra lab: "Dilations about center by Scale Factor"
Save LAB File to your Geogebra folder.
Here are the Lab Directions PDF Word
Remember to answer lab questions in your composition book.
Here is the Homework PDF or Word to complete after you have finished investigating the lab.
December 13, 2013 ~ Friday
Flipping out and around with another Hexaflexagon
and paper folding creations by YOU
and videos by Vi Hart
Hexaflexagon Safety Guide
Flex Mex
Hexaflexagon2
Flipping out and around with another Hexaflexagon
and paper folding creations by YOU
and videos by Vi Hart
Hexaflexagon Safety Guide
Flex Mex
Hexaflexagon2
December 11-12-13, 2013 Wednesday, Thursday
WEDNESDAY...
Gallery Walk... place your circle designs at your desk. Take a walk and view the designs of your classmates.
Identify likes and dislikes, quality and refinements, observe criteria that is demonstrated in the designs.
Back at your table, refine your design, make a copy, and color your design.
THURSDAY.... wrap it up... get it done! Let's move along. :~)
DUE FRIDAY at the BEGINNING of CLASS
1) FINAL CIRCLE Design two copies... be sure your design meets the criteria
a) black & white version
b) colored final product
2) Topic-Evidence-Analysis paragraph responding to the prompt "what single most impactful personal or
academic characteristic do YOU exhibit that nurtures Animas High School's "culture of excellence."
Please send to me as a Google doc OR as an e-mail attachment OR in the body of an e-mail.
FRIDAY...
Another form of Hexaflexagon...
WEDNESDAY...
Gallery Walk... place your circle designs at your desk. Take a walk and view the designs of your classmates.
Identify likes and dislikes, quality and refinements, observe criteria that is demonstrated in the designs.
Back at your table, refine your design, make a copy, and color your design.
THURSDAY.... wrap it up... get it done! Let's move along. :~)
DUE FRIDAY at the BEGINNING of CLASS
1) FINAL CIRCLE Design two copies... be sure your design meets the criteria
a) black & white version
b) colored final product
2) Topic-Evidence-Analysis paragraph responding to the prompt "what single most impactful personal or
academic characteristic do YOU exhibit that nurtures Animas High School's "culture of excellence."
Please send to me as a Google doc OR as an e-mail attachment OR in the body of an e-mail.
FRIDAY...
Another form of Hexaflexagon...
December 10, 2013 ~ Tuesday
Today construct THREE DRAFT circle designs... choose the design you like the best or make a final design using the components of your drafts that you like best.
NEXT
a) make a second copy by constructing the design again on 8.5 x 11 inch paper.
b) or by asking Cathy for a photocopy of the design on 8.5 x 11 paper.
c) or by creating the design using Geogebra and printing on 8.5 x 11 paper.
CIRCLE DESIGN REQUIREMENTS:
1) original must be hand-drawn using compass and straight edge.
2) must use 8.5 x 11 paper with the circle centered on the paper.
3) minimum circle diameter 8 inches
4) design must include both ARCS and SEGMENTS
5) design must have both ROTATIONAL and REFLECTION symmetry
6) design must include at least 3 of the following 4 constructions
a) perpendicular bisector
b) angle bisector
c) congruent angles
d) congruent segments
7) You must submit a "black & white" version
8) You must submit a colored version.
a) using colored pens or pencils.
b) using technology to color.
2) DP Update CHECKS
Please have out the DP Update Requirements Sheet during the DP check
HOMEWORK:
See Homework Mon Dec 9 for the description of the T.E.A. paragraph. This is due on or before FRIDAY Dec 13.
Today construct THREE DRAFT circle designs... choose the design you like the best or make a final design using the components of your drafts that you like best.
NEXT
a) make a second copy by constructing the design again on 8.5 x 11 inch paper.
b) or by asking Cathy for a photocopy of the design on 8.5 x 11 paper.
c) or by creating the design using Geogebra and printing on 8.5 x 11 paper.
CIRCLE DESIGN REQUIREMENTS:
1) original must be hand-drawn using compass and straight edge.
2) must use 8.5 x 11 paper with the circle centered on the paper.
3) minimum circle diameter 8 inches
4) design must include both ARCS and SEGMENTS
5) design must have both ROTATIONAL and REFLECTION symmetry
6) design must include at least 3 of the following 4 constructions
a) perpendicular bisector
b) angle bisector
c) congruent angles
d) congruent segments
7) You must submit a "black & white" version
8) You must submit a colored version.
a) using colored pens or pencils.
b) using technology to color.
2) DP Update CHECKS
Please have out the DP Update Requirements Sheet during the DP check
HOMEWORK:
See Homework Mon Dec 9 for the description of the T.E.A. paragraph. This is due on or before FRIDAY Dec 13.
December 9, 2013 ~ Monday
Today you will collaborate with your tablemates to "READ, INTERPRET, and FOLLOW" written directions, to construct inscribed regular polygons (triangle, square, hexagon, octagon and pentagon) in a circle using compass and straight edge.
Today (and tomorrow) you will also sign up for a time during class on Tuesday, Wednesday, Thursday or Friday during which you will show me your DP that you have updated in preparation for your POL next week.
HOMEWORK:
Prepare a typed-written response to me that addresses item #3 of the POL preparation.
3. Reflect on your first semester of this school year (freshman or sophomore year). Share "Your Words of Wisdom" on the single most impactful personal or academic characteristic that YOU EXHIBIT, that nurtures Animas High School's culture of excellence.
Today you will collaborate with your tablemates to "READ, INTERPRET, and FOLLOW" written directions, to construct inscribed regular polygons (triangle, square, hexagon, octagon and pentagon) in a circle using compass and straight edge.
- You must use compass and straight edge.
- You must make sure that you and your tablemates understand the directions.
- You must complete the constructions with accuracy.
- There must be NO measuring with ruler or with protractor.
- Do NOT erase any compass construction marks which lead to the final construction. Leave these markings because I will be looking for them as necessary steps in process of completing the construction.
- You may work ONLY with the students at your table.
- Do NOT consult with other members of the class not at your table during this activity.
- This will be a graded activity.
Today (and tomorrow) you will also sign up for a time during class on Tuesday, Wednesday, Thursday or Friday during which you will show me your DP that you have updated in preparation for your POL next week.
- If you need help refining your DP entries sign up for a time later in the week.
- YOU MUST show me your DP on your computer this week during class time.
- Thank you for taking the time to be prepared for your POL.
- Please, there is no need for you to send an e-mail and ask for a DP update extension... sign up for a time when you know you will be finished. Thanks.
HOMEWORK:
Prepare a typed-written response to me that addresses item #3 of the POL preparation.
3. Reflect on your first semester of this school year (freshman or sophomore year). Share "Your Words of Wisdom" on the single most impactful personal or academic characteristic that YOU EXHIBIT, that nurtures Animas High School's culture of excellence.
- Please prepare a well-thought out response in the form of one or more T.E.A. paragraphs. (Topic-Evidence-Analysis paragraph).
- As with all written work, proof read for correct punctuation, spelling and grammar.
- Keep in mind that "culture of excellence" embodies many things and you may speak to any one of
these things or to many of these things. - I will ask you to submit your response to me this week on or before Friday, December 13, 2013.
December 5-6, 2013 ~ Thursday & Friday
Construction Packet is due Friday.
DP Updates: regarding Geogebra labs, please be specific. State specific geometry concepts learned or applied in creating the Geogebra sketch that solves the problem.
DP Updates checklist and WORK TIME! Use it wisely!
Although many students have been using class time wisely, too many others have squandered their class time.
If this is YOU, refocus your energy and attention otherwise you must complete work at home on your own time.
As you complete tasks to make needed updates to your DP, show your work to Cathy so she can sign off on your check list. The check list will be collected next week.
Construction Packet is due Friday.
DP Updates: regarding Geogebra labs, please be specific. State specific geometry concepts learned or applied in creating the Geogebra sketch that solves the problem.
DP Updates checklist and WORK TIME! Use it wisely!
Although many students have been using class time wisely, too many others have squandered their class time.
If this is YOU, refocus your energy and attention otherwise you must complete work at home on your own time.
As you complete tasks to make needed updates to your DP, show your work to Cathy so she can sign off on your check list. The check list will be collected next week.
December 4, 2013 ~ Wednesday
Here is the Snail Trail Lab Directions PDF or Word in case you need a reminder of the geometry concepts you used to create the lab in order to write your paragraph for your DP update.
1) Can You Construct These #1, #2, #3 are due today
2) Quiz Corrections are due Thursday
3) Spend 1/2 of class working on Construction Packet... this is due Friday.
4) Spend 1/2 of class working on DP Updates... these are due Friday.
5) Lunch Office Hours today and tomorrow.
Here is the Snail Trail Lab Directions PDF or Word in case you need a reminder of the geometry concepts you used to create the lab in order to write your paragraph for your DP update.
1) Can You Construct These #1, #2, #3 are due today
2) Quiz Corrections are due Thursday
3) Spend 1/2 of class working on Construction Packet... this is due Friday.
4) Spend 1/2 of class working on DP Updates... these are due Friday.
5) Lunch Office Hours today and tomorrow.
December 3, 2013 ~ Tuesday
Assemble your hexaflexagon and share yours with your table mates. Completed product is due today.
During today's class you should budget your time wisely!!! I would suggest 1/2 the time for DP updates and 1/2 the time for constructions which includes the Construction Packet and the "Can you Construct These #1, #2, & #3" that are due on Wednesday.
Those who want mini-lessons for constructions may request them but I would suggest that you attempt to read and follow the written directions first. Collaborate with table partners for reassurance. Ask questions when you are unsure. Your goal is to finish the construction packet during class time . It is DUE Friday.
Note: Please return compasses in safety mode, always ... for your safety. Thanks.
DP Update Requirements with due dates: PDF
Here are each of the GGB Labs Directions where you will find the Problem Scenarios you need for your DP update.
PDF or Word Two Rivers
PDF or Word The Burning Tent
PDF or Word The Feed & Water
Circle Design requirements will be shared tomorrow for those who are ready to begin.
HOMEWORK:
1) QUIZ corrections are due Thursday.
2) Can You Construct These #1, #2, #3 are due Wednesday.
3) Construction Packet is due Friday.
4) DP Updates are due by Friday. If you were not productive during class then you should spend a 1/2 hour outside of class working to complete tasks and make updates.
Assemble your hexaflexagon and share yours with your table mates. Completed product is due today.
During today's class you should budget your time wisely!!! I would suggest 1/2 the time for DP updates and 1/2 the time for constructions which includes the Construction Packet and the "Can you Construct These #1, #2, & #3" that are due on Wednesday.
Those who want mini-lessons for constructions may request them but I would suggest that you attempt to read and follow the written directions first. Collaborate with table partners for reassurance. Ask questions when you are unsure. Your goal is to finish the construction packet during class time . It is DUE Friday.
Note: Please return compasses in safety mode, always ... for your safety. Thanks.
DP Update Requirements with due dates: PDF
Here are each of the GGB Labs Directions where you will find the Problem Scenarios you need for your DP update.
PDF or Word Two Rivers
PDF or Word The Burning Tent
PDF or Word The Feed & Water
Circle Design requirements will be shared tomorrow for those who are ready to begin.
HOMEWORK:
1) QUIZ corrections are due Thursday.
2) Can You Construct These #1, #2, #3 are due Wednesday.
3) Construction Packet is due Friday.
4) DP Updates are due by Friday. If you were not productive during class then you should spend a 1/2 hour outside of class working to complete tasks and make updates.
December 2-3, 2013 ~ Monday & Tuesday
1) Everyone needs to bring their 4-design-colored Hex-a-flex-a-gon template to class Tuesday.
2) Quiz Corrections are due on Thursday Dec 5th. Please attend office hours for help if you need.
Today we will take a little excursion and learn just a bit about the Fibonacci sequence and the Golden Ratio PHI. PDF You will need compass, straight edge, centimeter ruler and calculator.
CONSTRUCTIONS:
This week, you continue working with compass and straight edge to completely finish the lessons for the following constructions.
a) constructing perpendiculars, given a point on a line ... page 3
b) constructing congruent angles ... page 4
c) constructing angle bisectors ... page 5
d) constructing parallel lines ... page 6
e) constructing perpendiculars, given a point NOT on a line ... page 7
f) inscribing regular polygons in circles (triangle, square, hexagon, octagon, pentagon and heptagon)
DIGITAL PORTFOLIO UPDATES: This week you will complete several tasks related to work we have done using Geogebra to update your DPs. Stay tuned.
HOMEWORK: finish Constructions and Circle Designs #1, #2, and #3. You were working on these before Thanksgiving break. Be prepared to hand these in on Wednesday.
Bring Hex-a-flex-a-gon tomorrow.
1) Everyone needs to bring their 4-design-colored Hex-a-flex-a-gon template to class Tuesday.
2) Quiz Corrections are due on Thursday Dec 5th. Please attend office hours for help if you need.
Today we will take a little excursion and learn just a bit about the Fibonacci sequence and the Golden Ratio PHI. PDF You will need compass, straight edge, centimeter ruler and calculator.
CONSTRUCTIONS:
This week, you continue working with compass and straight edge to completely finish the lessons for the following constructions.
a) constructing perpendiculars, given a point on a line ... page 3
b) constructing congruent angles ... page 4
c) constructing angle bisectors ... page 5
d) constructing parallel lines ... page 6
e) constructing perpendiculars, given a point NOT on a line ... page 7
f) inscribing regular polygons in circles (triangle, square, hexagon, octagon, pentagon and heptagon)
DIGITAL PORTFOLIO UPDATES: This week you will complete several tasks related to work we have done using Geogebra to update your DPs. Stay tuned.
HOMEWORK: finish Constructions and Circle Designs #1, #2, and #3. You were working on these before Thanksgiving break. Be prepared to hand these in on Wednesday.
Bring Hex-a-flex-a-gon tomorrow.
Grade Requirements for Promotion
Animas High School requires that students receive a C- (70 percent) or higher in all core academic courses. The core curriculum at Animas High School includes all classes except Student Interest Groups (SIG) and X-Blocks. The
following guidelines apply to students who do not pass a class or classes:
• If a student fails one semester of a course, they will be given the opportunity to recover that credit through Animas High School summer school. If a student fails both semesters of the same course, they must repeat that course the following school year. A student may not recover a full year of credit for one course in summer school.
• If a student fails one semester each of two different classes, the student will be given the opportunity to recover that credit through Animas High School summer school.
• If a student fails three or more semesters of classes during one school year, the student will not be promoted to the next grade.
Animas High School requires that students receive a C- (70 percent) or higher in all core academic courses. The core curriculum at Animas High School includes all classes except Student Interest Groups (SIG) and X-Blocks. The
following guidelines apply to students who do not pass a class or classes:
• If a student fails one semester of a course, they will be given the opportunity to recover that credit through Animas High School summer school. If a student fails both semesters of the same course, they must repeat that course the following school year. A student may not recover a full year of credit for one course in summer school.
• If a student fails one semester each of two different classes, the student will be given the opportunity to recover that credit through Animas High School summer school.
• If a student fails three or more semesters of classes during one school year, the student will not be promoted to the next grade.
November 22, 2013 ~ Friday
Create your own HEXAFLEXAGON: PDF or see picture above.
a 3-dimensional rotational transformation of tubular-linked tetrahedrons.
Be sure to complete your four coloring patterns of the triangular columns using rotational symmetry and reflection symmetry.
When complete, fold along every horizontal line, positive sloped diagonal line and negative sloped diagonal line.
Bring back to class on Monday Dec 2 and we will construct. Or you may construct at home by folding into a pinched tube of tetrahedrons and taping the edges.
At one end there will be a tetrahedron with two white faces at the other end there will be two triangular faces that will wrap around to cover the white faces at the other end. Align and tape to complete the Hexaflexagon.
Create your own HEXAFLEXAGON: PDF or see picture above.
a 3-dimensional rotational transformation of tubular-linked tetrahedrons.
Be sure to complete your four coloring patterns of the triangular columns using rotational symmetry and reflection symmetry.
When complete, fold along every horizontal line, positive sloped diagonal line and negative sloped diagonal line.
Bring back to class on Monday Dec 2 and we will construct. Or you may construct at home by folding into a pinched tube of tetrahedrons and taping the edges.
At one end there will be a tetrahedron with two white faces at the other end there will be two triangular faces that will wrap around to cover the white faces at the other end. Align and tape to complete the Hexaflexagon.
November 21, 2013 ~ Thursday
Today is the deadline for turning in the work that will bring many students' grades to passing before Thanksgiving break. Please hand in your work today. Thank you for showing me that you care enough to set yourself up for a successful end to your first semester of Geometry.
Return QUIZ Translations of Functions 7.1 - 7.6 Corrections are due Thursday December 5, 2013
CLASSWORK & HOMEWORK:
Discuss and share strategies for "#2 Can You Construct These ??"
page 13-14: #3 Can You Construct These ?? DESIGNS BASED on 72 DEGREE ROTATIONS
Construct as many of these 10 designs as possible using only the circle templates (showing 6 equal partitions of the
circumference) and a straight edge. You are not to measure anything with your ruler. The designs may be rotationally equivalent. More circle templates than you need are provided.
Bring COLORED PENCILS on FRIDAY
Today is the deadline for turning in the work that will bring many students' grades to passing before Thanksgiving break. Please hand in your work today. Thank you for showing me that you care enough to set yourself up for a successful end to your first semester of Geometry.
Return QUIZ Translations of Functions 7.1 - 7.6 Corrections are due Thursday December 5, 2013
CLASSWORK & HOMEWORK:
Discuss and share strategies for "#2 Can You Construct These ??"
page 13-14: #3 Can You Construct These ?? DESIGNS BASED on 72 DEGREE ROTATIONS
Construct as many of these 10 designs as possible using only the circle templates (showing 6 equal partitions of the
circumference) and a straight edge. You are not to measure anything with your ruler. The designs may be rotationally equivalent. More circle templates than you need are provided.
Bring COLORED PENCILS on FRIDAY
November 20, 2013 ~ Wednesday
QUIZ Translations of Functions 7.1 - 7.6
Sign-up (choose your top three) by going to the website (ospreyweek.webs.com)
CLASSWORK & HOMEWORK:
Discuss and share strategies for "#1 Can You Construct These ??"
page 11-12: #2 Can You Construct These ?? DESIGNS BASED on 45 and 90 DEGREE ROTATIONS
Construct as many of these 10 designs as possible using only the circle templates (showing 6 equal partitions of the circumference) and a straight edge. You are not to measure anything with your ruler. The designs may be rotationally equivalent. More circle templates than you need are provided.
Bring COLORED PENCILS on FRIDAY
All students will sign-up for Osprey Week on today in Math on Wednesday. Be prepared on with your top three choices. Students will need 5-7 minutes to sign-up by going to the website (ospreyweek.webs.com) and
the sign-up button is on the right side when you scroll down a little.
QUIZ Translations of Functions 7.1 - 7.6
Sign-up (choose your top three) by going to the website (ospreyweek.webs.com)
CLASSWORK & HOMEWORK:
Discuss and share strategies for "#1 Can You Construct These ??"
page 11-12: #2 Can You Construct These ?? DESIGNS BASED on 45 and 90 DEGREE ROTATIONS
Construct as many of these 10 designs as possible using only the circle templates (showing 6 equal partitions of the circumference) and a straight edge. You are not to measure anything with your ruler. The designs may be rotationally equivalent. More circle templates than you need are provided.
Bring COLORED PENCILS on FRIDAY
All students will sign-up for Osprey Week on today in Math on Wednesday. Be prepared on with your top three choices. Students will need 5-7 minutes to sign-up by going to the website (ospreyweek.webs.com) and
the sign-up button is on the right side when you scroll down a little.
November 19, 2013 ~ Tuesday
Composition Book Entries:
3) Square Root Rules (continued)
4) Perfect Squares and Scalar Multiples
NEW PACKET Construction with Compass and Straight Edge:
Page 3: Constructing Perpendiculars, Given a Point on a Line
CLASSWORK & HOMEWORK:
Page 10-11: #1 Can You Construct These ?? DESIGNS BASED on 120 and 60 DEGREE ROTATIONS
Construct as many of these 10 designs as possible using only the circle templates (showing 6 equal partitions of the circumference) and a straight edge. You are not to measure anything with your ruler. The designs may be rotationally equivalent. More circle templates than you need are provided.
Tomorrow QUIZ: Translations of Functions 7.1 - 7.6
Bring COLORED PENCILS on FRIDAY
Composition Book Entries:
3) Square Root Rules (continued)
4) Perfect Squares and Scalar Multiples
NEW PACKET Construction with Compass and Straight Edge:
Page 3: Constructing Perpendiculars, Given a Point on a Line
CLASSWORK & HOMEWORK:
Page 10-11: #1 Can You Construct These ?? DESIGNS BASED on 120 and 60 DEGREE ROTATIONS
Construct as many of these 10 designs as possible using only the circle templates (showing 6 equal partitions of the circumference) and a straight edge. You are not to measure anything with your ruler. The designs may be rotationally equivalent. More circle templates than you need are provided.
Tomorrow QUIZ: Translations of Functions 7.1 - 7.6
Bring COLORED PENCILS on FRIDAY
November 18, 2013 ~ Monday
Composition Book Entries:
1) Distance Formula
2) Equations of Circles
3) Square Root Rules
4) Perfect Squares and Scalar Multiples
NEW PACKET Construction with Compass and Straight Edge:
Page 1: Constructing Congruent Segments
Page 2: Constructing Perpendicular Bisectors
QUIZ Wednesday: 7.1 - 7.6 Translations of Functions
* vertical and horizontal shifts of linear & quadratic functions and circles.
* function notation illustrating vertical and horizontal shifts.
COMPOSITION BOOKS are due Thursday (85 points worth of entries).
Bring COLORED PENCILS on FRIDAY
OSPREY WEEK SELECTION: All students will sign-up for Osprey Week on Wednesday. Visit the website (ospreyweek.webs.com) to view your options. Be prepared on Wednesday with your top three choices. Students will need 5-7 minutes to sign-up by going to the website to choose their selections.
Composition Book Entries:
1) Distance Formula
2) Equations of Circles
3) Square Root Rules
4) Perfect Squares and Scalar Multiples
NEW PACKET Construction with Compass and Straight Edge:
Page 1: Constructing Congruent Segments
Page 2: Constructing Perpendicular Bisectors
QUIZ Wednesday: 7.1 - 7.6 Translations of Functions
* vertical and horizontal shifts of linear & quadratic functions and circles.
* function notation illustrating vertical and horizontal shifts.
COMPOSITION BOOKS are due Thursday (85 points worth of entries).
Bring COLORED PENCILS on FRIDAY
OSPREY WEEK SELECTION: All students will sign-up for Osprey Week on Wednesday. Visit the website (ospreyweek.webs.com) to view your options. Be prepared on Wednesday with your top three choices. Students will need 5-7 minutes to sign-up by going to the website to choose their selections.
November 15, 2013 ~ Friday
Circle Equations centered at the origin and translations of circles (centers are not at the origin).
GGB Lab: Distance Formula complete hand out and demonstrate understanding of equations of circles.
CONSTRUCTIONS:
Constructions using pencil, straight edge and compass. NOTE: Constructions will never use any measuring with a ruler. Read the passages related to the diagrams. Use the diagrams found in this PDF... and reproduce these constructions using compass and straight edge.
Circle Equations centered at the origin and translations of circles (centers are not at the origin).
GGB Lab: Distance Formula complete hand out and demonstrate understanding of equations of circles.
CONSTRUCTIONS:
Constructions using pencil, straight edge and compass. NOTE: Constructions will never use any measuring with a ruler. Read the passages related to the diagrams. Use the diagrams found in this PDF... and reproduce these constructions using compass and straight edge.
November 14, 2013 ~ Thursday
Composition Book Entries:
1. Translations of Linear Functions
2. Translations of Quadratic Functions
3. Generalize Translations of Functions
VERSATILE ACTIVITY: Translation of Function Equations
GGB Distance Lab & Worksheet (see PDF from Wednesday 11/13): Use the GGB file to learn about writing equations of circles with translations.
Composition Book Entries:
1. Translations of Linear Functions
2. Translations of Quadratic Functions
3. Generalize Translations of Functions
VERSATILE ACTIVITY: Translation of Function Equations
GGB Distance Lab & Worksheet (see PDF from Wednesday 11/13): Use the GGB file to learn about writing equations of circles with translations.
November 13, 2013 ~ Wednesday
STARTER f(x) = (4/5)(x) - 2
1) g(x) = f(x) + 9 re-write g(x) = ___________________ in terms of x, then find g(7)
2) h(x) = f(x - 1) re-write h(x) = ___________________ in terms of x, then find h(-4)
Review 7.6 page 15 #14, 15, & 16. Use point-slope rather than slope-intercept since we do not have lattice point y-intercept values.
HAND IN today 7.6 packet Page 12-15
Composition Book Entries:
1) Vector Translations
2) Center of Rotation and Angle of Rotation (include a description of the process you must use to find the center of rotation and to determine the measure of the angle of rotation)
Finish BINGO quiz from Friday. GOAL 25/25
Learn how to write equations of circles. Translations of Circles.
Use GGB Lab: Distance Formula that you saved last week and complete the exercises on the worksheet PDF to learn about equations and translations of circles.
STARTER f(x) = (4/5)(x) - 2
1) g(x) = f(x) + 9 re-write g(x) = ___________________ in terms of x, then find g(7)
2) h(x) = f(x - 1) re-write h(x) = ___________________ in terms of x, then find h(-4)
Review 7.6 page 15 #14, 15, & 16. Use point-slope rather than slope-intercept since we do not have lattice point y-intercept values.
HAND IN today 7.6 packet Page 12-15
Composition Book Entries:
1) Vector Translations
2) Center of Rotation and Angle of Rotation (include a description of the process you must use to find the center of rotation and to determine the measure of the angle of rotation)
Finish BINGO quiz from Friday. GOAL 25/25
Learn how to write equations of circles. Translations of Circles.
Use GGB Lab: Distance Formula that you saved last week and complete the exercises on the worksheet PDF to learn about equations and translations of circles.
November 4-5-6-7, 2013 ~ Monday through Thursday
This week... Plan your time wisely. Maximize in class time and minimize work you have to do outside of class.
Complete GGB LAB: Feed & Water use these DIRECTIONS PDF or ask for paper copy of DIRECTIONS.
Save these GGB files to your computer.
GGB Translation Polygon Shape FILE
Explore this Geogebra file before answering pg 12 #4-5-6
GGB Translation Linear Function FILE
Explore this Geogebra file before answering pg 8 #1-9 and pg 9 #1,4,7,10 and pg 12-15 #1-3, 7, 9-16
GGB Translation Quadratic Function FILE
Explore this Geogebra file before answering pg 10 #8 and pg 13 #8
GGB Distance Formula and Equations of Circles FILE
Explore this Geogebra file ...
NOTE: If you have trouble saving these files, ask for the flash drive to transfer the files to your computer.
MODULE 7 Connecting Algebra and Geometry
7.2-7.3 pages 3-7 PDF Complete by Monday. Hand in on Tuesday.
Distance, Slope and Proofs using distance and slope properties.
7.4 pages 8-9 PDF Complete by Tuesday. Hand in on Wednesday.
Translations of Shapes and Functions with emphasis on vertical translations.
7.5 pages 10-11 PDF Complete by Wednesday. Hand in on Wednesday.
Tables of Values with emphasis on vertical translations along with graphs and equations.
7.6 pages 12-15 PDF Complete page 12 by Thursday. Complete pg 13-15 for Firday
Hand in on Friday.
Shifty Shapes and Functions with emphasis on vertical and horizontal translations.
Describing transformations as vertical translations UP/DOWN k-units and
horizontal translations LEFT/RIGHT h-units using words, equations and graphs.
This week... Plan your time wisely. Maximize in class time and minimize work you have to do outside of class.
Complete GGB LAB: Feed & Water use these DIRECTIONS PDF or ask for paper copy of DIRECTIONS.
Save these GGB files to your computer.
GGB Translation Polygon Shape FILE
Explore this Geogebra file before answering pg 12 #4-5-6
GGB Translation Linear Function FILE
Explore this Geogebra file before answering pg 8 #1-9 and pg 9 #1,4,7,10 and pg 12-15 #1-3, 7, 9-16
GGB Translation Quadratic Function FILE
Explore this Geogebra file before answering pg 10 #8 and pg 13 #8
GGB Distance Formula and Equations of Circles FILE
Explore this Geogebra file ...
NOTE: If you have trouble saving these files, ask for the flash drive to transfer the files to your computer.
MODULE 7 Connecting Algebra and Geometry
7.2-7.3 pages 3-7 PDF Complete by Monday. Hand in on Tuesday.
Distance, Slope and Proofs using distance and slope properties.
7.4 pages 8-9 PDF Complete by Tuesday. Hand in on Wednesday.
Translations of Shapes and Functions with emphasis on vertical translations.
7.5 pages 10-11 PDF Complete by Wednesday. Hand in on Wednesday.
Tables of Values with emphasis on vertical translations along with graphs and equations.
7.6 pages 12-15 PDF Complete page 12 by Thursday. Complete pg 13-15 for Firday
Hand in on Friday.
Shifty Shapes and Functions with emphasis on vertical and horizontal translations.
Describing transformations as vertical translations UP/DOWN k-units and
horizontal translations LEFT/RIGHT h-units using words, equations and graphs.
November 1, 2013 ~ Friday NOVEMBER!!!!
Concepts: How to find the shortest distance of two-part paths and multi-part paths.
Today students will finish Geogebra LAB: The Burning Tent if not already finished.
GGB LAB: Feed & Water shortest multi-step path PDF
HOMEWORK: finish Module 7.2 and 7.3 packet.
Concepts: How to find the shortest distance of two-part paths and multi-part paths.
Today students will finish Geogebra LAB: The Burning Tent if not already finished.
GGB LAB: Feed & Water shortest multi-step path PDF
HOMEWORK: finish Module 7.2 and 7.3 packet.
October 29-30-31 ~ Tuesday - Wednesday - Thursday
Because of the strange schedule on Wednesday and Thursday, my goal is to set you up for work that you are assigned to complete by Friday.
Module 7.2: Vertical Translations of functions and more Pythagorean Theorem
PDF for both 7.2 and 7.3
Classwork: A) explain f(x) notation
B) look at similarities and differences of linear equations resulting from a vertical translation #1
B) revisit the Pythagorean Theorem and squaring square roots. #6
C) revisit simplifying the distance by "un-distributing" #10
HOMEWORK: #1-12... but we already completed 3 questions in class today.
Module 7.3: Proof using Distance and Slope
Classwork: We can prove that a given shape has specific properties using distance and slope.
#1 We will prove that a shape is a kite.
#2 and the a quadrilateral is a parallelogram.
#6 and we will find perimeter of shapes.
HOMEWORK: #1-10 but we already completed 3 questions in class today... hopefully.
Complete the last few steps of The Burning Tent Geogebra Lab
Because of the strange schedule on Wednesday and Thursday, my goal is to set you up for work that you are assigned to complete by Friday.
Module 7.2: Vertical Translations of functions and more Pythagorean Theorem
PDF for both 7.2 and 7.3
Classwork: A) explain f(x) notation
B) look at similarities and differences of linear equations resulting from a vertical translation #1
B) revisit the Pythagorean Theorem and squaring square roots. #6
C) revisit simplifying the distance by "un-distributing" #10
HOMEWORK: #1-12... but we already completed 3 questions in class today.
Module 7.3: Proof using Distance and Slope
Classwork: We can prove that a given shape has specific properties using distance and slope.
#1 We will prove that a shape is a kite.
#2 and the a quadrilateral is a parallelogram.
#6 and we will find perimeter of shapes.
HOMEWORK: #1-10 but we already completed 3 questions in class today... hopefully.
Complete the last few steps of The Burning Tent Geogebra Lab
October 28, 2013 ~ Monday
Schedule this week:
Wednesday Oct 30: 10th grade students NWEA. Report directly to the commons at the start of class.
9th grade students report to Effi O'Neil's classroom where you will complete work for Geometry.
Thursday Oct 31: 10th grade students NWEA. Report directly to the commons at the start of class.
Thursday Oct 31: 9th grade Sex Education.
Today
Module 7.1 PDF page 1-2 (adapted) Coordinate geometry, slope and distance.
In class we completed the intro question for the slope triangle diagram at the top of the page.
We also completed #1, #3A, #3C.
HOMEWORK: Finish pg 1-2: #2, 3B, 3D, 4A, 4B, 5
Geogebra Lab: The Burning Tent PDF
Schedule this week:
Wednesday Oct 30: 10th grade students NWEA. Report directly to the commons at the start of class.
9th grade students report to Effi O'Neil's classroom where you will complete work for Geometry.
Thursday Oct 31: 10th grade students NWEA. Report directly to the commons at the start of class.
Thursday Oct 31: 9th grade Sex Education.
Today
Module 7.1 PDF page 1-2 (adapted) Coordinate geometry, slope and distance.
In class we completed the intro question for the slope triangle diagram at the top of the page.
We also completed #1, #3A, #3C.
HOMEWORK: Finish pg 1-2: #2, 3B, 3D, 4A, 4B, 5
Geogebra Lab: The Burning Tent PDF
October 25, 2013 ~ Friday
Homework: finish Comp Book Questions #1-8 for the Two Rivers lab
work on Quiz corrections. They are due Wednesday Oct 30.
STARTER: Given point K(-125, +456) and L(+871, +913) find the values for
slope, distance and midpoint using the formulas.
A) Calculate slope of KL = ? distance KL = ? Midpoint of KL = ?
B) Write the equation of the line passing through K and L using the point L in the equation.
C) Write the equation of the line perpendicular to this line passing through point K.
Example: P(11, 34) and Q(56, 86)
slope = (Y2 - Y1) d= Sqrt [ (Y2-Y1)^2 + (X2-X1)^2 ] M ( (X1 + X2) , (Y1 +Y2) )
(X2 - X1) 2 2
slope = (86 - 34) = 52 distance = SQRT ( 52^2 + 45^2 ) Midpoint M ( 11+56 , 34+86 )
(56 - 11) 45 2 2
(67/2 , 60)
1) Finish GGB LAB 5B: Two Rivers by finding an alternative to fishing near the Sewage Plant.
We will do this in class together. Answer the questions #6-9 in your composition book.
2) Inscribed Square Puzzle - Did you use Pythagorean Triples? I hope so. Let's look at the solutions.
With a partner, create a new Inscribed Square problem and solution.
A) determine the size of the outer-larger square
B) determine how the side of the larger square will be partitioned
C) draw the inscribed square
D) verify the length of the inscribed square using Pythagorean Theorem.
3) Tangram Puzzle - This puzzle is a paradox. Let's look at the solutions.
DEFINITION par·a·dox : something (such as a situation) that is made up of two opposite things and that
seems impossible but is actually true or possible.
Other tangram puzzles... Use your tangram pieces to create as many of these as you can.
Homework: finish Comp Book Questions #1-8 for the Two Rivers lab
work on Quiz corrections. They are due Wednesday Oct 30.
STARTER: Given point K(-125, +456) and L(+871, +913) find the values for
slope, distance and midpoint using the formulas.
A) Calculate slope of KL = ? distance KL = ? Midpoint of KL = ?
B) Write the equation of the line passing through K and L using the point L in the equation.
C) Write the equation of the line perpendicular to this line passing through point K.
Example: P(11, 34) and Q(56, 86)
slope = (Y2 - Y1) d= Sqrt [ (Y2-Y1)^2 + (X2-X1)^2 ] M ( (X1 + X2) , (Y1 +Y2) )
(X2 - X1) 2 2
slope = (86 - 34) = 52 distance = SQRT ( 52^2 + 45^2 ) Midpoint M ( 11+56 , 34+86 )
(56 - 11) 45 2 2
(67/2 , 60)
1) Finish GGB LAB 5B: Two Rivers by finding an alternative to fishing near the Sewage Plant.
We will do this in class together. Answer the questions #6-9 in your composition book.
2) Inscribed Square Puzzle - Did you use Pythagorean Triples? I hope so. Let's look at the solutions.
With a partner, create a new Inscribed Square problem and solution.
A) determine the size of the outer-larger square
B) determine how the side of the larger square will be partitioned
C) draw the inscribed square
D) verify the length of the inscribed square using Pythagorean Theorem.
3) Tangram Puzzle - This puzzle is a paradox. Let's look at the solutions.
DEFINITION par·a·dox : something (such as a situation) that is made up of two opposite things and that
seems impossible but is actually true or possible.
Other tangram puzzles... Use your tangram pieces to create as many of these as you can.
October 24, 2013 ~ Thursday
1) Composition book entry: Pythagorean Triples
2) Starter see picture below
3) Work Time: This work must be complete and ready to hand in at the beginning of class on Friday.
Use your time wisely to be sure your work is thorough, organized, complete and accurate.
A) HW 6.9 Pg 56-58 #1-8, 10-13
B) HW Oct 22 Shortest Distance Concepts
C) HW Oct 23 More Shortest Distance Concepts
D) Puzzle Inscribed Squares
E) Tangram Puzzle
5) HOMEWORK: be prepared to hand in completed work tomorrow.
1) Composition book entry: Pythagorean Triples
2) Starter see picture below
3) Work Time: This work must be complete and ready to hand in at the beginning of class on Friday.
Use your time wisely to be sure your work is thorough, organized, complete and accurate.
A) HW 6.9 Pg 56-58 #1-8, 10-13
B) HW Oct 22 Shortest Distance Concepts
C) HW Oct 23 More Shortest Distance Concepts
D) Puzzle Inscribed Squares
E) Tangram Puzzle
5) HOMEWORK: be prepared to hand in completed work tomorrow.
October 23, 2013 ~ Wednesday
1) Starter question using tonight's HW #2 and #3. Finding points on the x-axis or y-axis a specified distance from a point not on the axis using the Pythagorean Theorem. This should clear up any confusion about HW question #1 from last night. Fix up question #1 based on your new understanding.
2) Today we will continue Lab 5b Two Rivers problem scenario and answer questions 1-5 in your composition book.
3) HW More Shortest Distance Concepts PDF
and answer Two Rivers Questions #1-5 in your composition book.
4) Inscribed Square and Tangram Puzzle are due Friday.
See PDF docs on Friday October 18 if you lost your copy.
5) Be prepared to hand in for a grade 3 assignments on Friday
I. HW 6.9 Pg 56-58 #1-2, 3-8,10-13
II. HW Oct 22 Shortest Distance Concepts
III HW Oct 23 More Shortest Distance Concepts
IV puzzle inscribed square and tangram puzzle
6) Quizzes returned... Good results on this quiz!! Thanks.
Corrections are due Wednesday October 30.
1) Starter question using tonight's HW #2 and #3. Finding points on the x-axis or y-axis a specified distance from a point not on the axis using the Pythagorean Theorem. This should clear up any confusion about HW question #1 from last night. Fix up question #1 based on your new understanding.
2) Today we will continue Lab 5b Two Rivers problem scenario and answer questions 1-5 in your composition book.
3) HW More Shortest Distance Concepts PDF
and answer Two Rivers Questions #1-5 in your composition book.
4) Inscribed Square and Tangram Puzzle are due Friday.
See PDF docs on Friday October 18 if you lost your copy.
5) Be prepared to hand in for a grade 3 assignments on Friday
I. HW 6.9 Pg 56-58 #1-2, 3-8,10-13
II. HW Oct 22 Shortest Distance Concepts
III HW Oct 23 More Shortest Distance Concepts
IV puzzle inscribed square and tangram puzzle
6) Quizzes returned... Good results on this quiz!! Thanks.
Corrections are due Wednesday October 30.
October 22, 2013 ~ Tuesday
1) Show Cathy your Snail Trail Lab that is due today.
2) Today we will be exploring the concept of "shortest distance from a point to a line" and create a new Geogebra sketch to demonstrate this concept. This is "LAB 5a: Shortest Distance from a Point to a Line" DIRECTIONS.
We will also begin (but may finish tomorrow) an application of this concept in the Two Rivers problem scenario. This is "LAB 5b: Two Rivers" DIRECTIONS.
3) HOMEWORK: 3 questions to answer on your own graph paper PDF Concepts include: slope, distance, midpoint, solve system of linear equations by elimination, shortest distance from point to line and Pythagorean Theorem.
1) Show Cathy your Snail Trail Lab that is due today.
2) Today we will be exploring the concept of "shortest distance from a point to a line" and create a new Geogebra sketch to demonstrate this concept. This is "LAB 5a: Shortest Distance from a Point to a Line" DIRECTIONS.
We will also begin (but may finish tomorrow) an application of this concept in the Two Rivers problem scenario. This is "LAB 5b: Two Rivers" DIRECTIONS.
3) HOMEWORK: 3 questions to answer on your own graph paper PDF Concepts include: slope, distance, midpoint, solve system of linear equations by elimination, shortest distance from point to line and Pythagorean Theorem.
October 21, 2013 ~ Monday
1) Composition Book Entries:
A) Slope - Distance - Midpoint PDF
B) Solving Systems of Equations by Elimination (also known as addition method) PDF
HW Finish Snail Trail Graffiti Lab (see Wed Oct 16 or Thu Oct 10 for Directions)
and Solve these two systems of equations in your composition book.
1) x+3y=9 2) 4x+y=8
2x-y=4 5x-2y=-3
1) Composition Book Entries:
A) Slope - Distance - Midpoint PDF
B) Solving Systems of Equations by Elimination (also known as addition method) PDF
HW Finish Snail Trail Graffiti Lab (see Wed Oct 16 or Thu Oct 10 for Directions)
and Solve these two systems of equations in your composition book.
1) x+3y=9 2) 4x+y=8
2x-y=4 5x-2y=-3
October 18, 2013 ~ Friday
1) Hand in Red Island Puzzle at the beginning of class.
2) Inscribed Squares Play-Think Puzzle #328: PDF ... squares inside squares, where vertices of inner square lie on the edges of the outer square. Inscribed squares must have lattice point vertices and the length of the sides of inscribed squares must be integers. Due Tuesday October 22, 2013
3) Tangrams Dissection Play-Think Puzzle #442 PDF Due Friday October 25, 2013.
3) QUIZ today ... when finished work on Play-Think Inscribed Squares or Snail Trail Graffiti Lab.
4) HOMEWORK: SNAIL TRAIL GRAFFITI lab and Play-Think #328.
1) Hand in Red Island Puzzle at the beginning of class.
2) Inscribed Squares Play-Think Puzzle #328: PDF ... squares inside squares, where vertices of inner square lie on the edges of the outer square. Inscribed squares must have lattice point vertices and the length of the sides of inscribed squares must be integers. Due Tuesday October 22, 2013
3) Tangrams Dissection Play-Think Puzzle #442 PDF Due Friday October 25, 2013.
3) QUIZ today ... when finished work on Play-Think Inscribed Squares or Snail Trail Graffiti Lab.
4) HOMEWORK: SNAIL TRAIL GRAFFITI lab and Play-Think #328.
October 17, 2013 ~ Thursday
1) Finish STARTER (question 3) review for QUIZ... see below Wednesday
2) Review GGB LAB 2 Constructing the Perpendicular Bisector see my comp book entry
In the "My Ex." you should write your own statement.
a) the CONDITIONAL statement:
IF a point lies on the perpendicular bisector of a segment,
THEN the point is equidistant from the endpoints of the segment.
b) the CONVERSE statement:
IF a point is equidistant from the endpoints of a segment,
THEN the point lies on the perpendicular bisector of the segment.
c) the CONTRAPOSITIVE statement:
IF a point does NOT lie on the perpendicular bisector of a segment,
THEN the point is NOT equidistant from the endpoints of the segment.
d) the INVERSE statement:
IF a point is NOT equidistant from the endpoints of a segment,
THEN the point does NOT lie on the perpendicular bisector of the segment.
3) Continuation: Constructions with compass and straightedge. PAGE 69-71
4) Continuation: Solving Systems of Equations PAGE 71 #9-14
5) QUIZ FRIDAY... with questions like STARTER. See questions below Wednesday.
6) Reminders:
Red Island Puzzle Due FRIDAY at beginning of class. Hand in top half of paper with squares glued on the grid.
SNAIL TRAIL GRAFFITI lab due MONDAY
1) Finish STARTER (question 3) review for QUIZ... see below Wednesday
2) Review GGB LAB 2 Constructing the Perpendicular Bisector see my comp book entry
In the "My Ex." you should write your own statement.
a) the CONDITIONAL statement:
IF a point lies on the perpendicular bisector of a segment,
THEN the point is equidistant from the endpoints of the segment.
b) the CONVERSE statement:
IF a point is equidistant from the endpoints of a segment,
THEN the point lies on the perpendicular bisector of the segment.
c) the CONTRAPOSITIVE statement:
IF a point does NOT lie on the perpendicular bisector of a segment,
THEN the point is NOT equidistant from the endpoints of the segment.
d) the INVERSE statement:
IF a point is NOT equidistant from the endpoints of a segment,
THEN the point does NOT lie on the perpendicular bisector of the segment.
3) Continuation: Constructions with compass and straightedge. PAGE 69-71
4) Continuation: Solving Systems of Equations PAGE 71 #9-14
5) QUIZ FRIDAY... with questions like STARTER. See questions below Wednesday.
6) Reminders:
Red Island Puzzle Due FRIDAY at beginning of class. Hand in top half of paper with squares glued on the grid.
SNAIL TRAIL GRAFFITI lab due MONDAY
October 16, 2013 ~ Wednesday
1) SNAIL TRAIL GRAFFITI lab due by Monday OCT 21. You will need to complete this lab at home if you did not complete it in class last week. Use these DIRECTIONS.
2) Review the requirements for the RED ISLAND puzzle... due Friday.
3) STARTER: review for QUIZ on FRIDAY. (Question 1 and 2) See below.
4) Constructions using Compass and Straightedge... no rulers and no protractors ... no measuring tools.
Pages 65 rhombus construction, 67 square construction
(We will see how far we get in 25 minutes and continue on Thursday.)
Please note: COMPASSES DO NOT LEAVE THE CLASSROOM! Thanks.
5) Solving System of Equations... (we will use 25 minutes of class to solve systems.)
a) this means finding the (x, y) ordered pair that makes both equations true.
b) graphically it means finding the (x, y) ordered pair for the intersection of the two lines.
c) solving algebraically can be done using two possible methods:
I) addition II) substitution
HOMEWORK: PAGE 71 #10-11-12 Solving systems of equations by addition method.
1) SNAIL TRAIL GRAFFITI lab due by Monday OCT 21. You will need to complete this lab at home if you did not complete it in class last week. Use these DIRECTIONS.
2) Review the requirements for the RED ISLAND puzzle... due Friday.
3) STARTER: review for QUIZ on FRIDAY. (Question 1 and 2) See below.
4) Constructions using Compass and Straightedge... no rulers and no protractors ... no measuring tools.
Pages 65 rhombus construction, 67 square construction
(We will see how far we get in 25 minutes and continue on Thursday.)
Please note: COMPASSES DO NOT LEAVE THE CLASSROOM! Thanks.
5) Solving System of Equations... (we will use 25 minutes of class to solve systems.)
a) this means finding the (x, y) ordered pair that makes both equations true.
b) graphically it means finding the (x, y) ordered pair for the intersection of the two lines.
c) solving algebraically can be done using two possible methods:
I) addition II) substitution
HOMEWORK: PAGE 71 #10-11-12 Solving systems of equations by addition method.
October 11, 2013 ~ Friday
Reminders for next week:
Monday October 14 is Columbus Day HOLIDAY - no school
Tuesday October 15 is a Professional Development Day for Teachers - no school for students.
Wednesday AM October 16: Juniors take PSAT
Wednesday 4PM - 6PM Student Led Conferences for 1st Semester.
Thursday October 17: 9th grade students take NWEA - report to the commons.
1) Finish Lab 2 Constructing Perpendicular Bisector (see Thursday for DIRECTIONS).... get stamped
2) Hand in Composition Books
3) Create SNAIL TRAIL GRAFFITI amusement lab
4) Finish notecard prep for SLC
5) Red Island Puzzle... complete for Friday October 18.
Cut out the 16 squares at the bottom and paste them in the grid at the top.
* Be sure that edges of square match like dominoes.
* Be sure that there is one solid darker shaded region...
There can be no islands of white regions amid the darker shaded.
* Be sure that only vertices touch the outer perimeter of the grid.
* Be sure that no shaded edges are on the outer perimeter of the grid.
Reminders for next week:
Monday October 14 is Columbus Day HOLIDAY - no school
Tuesday October 15 is a Professional Development Day for Teachers - no school for students.
Wednesday AM October 16: Juniors take PSAT
Wednesday 4PM - 6PM Student Led Conferences for 1st Semester.
Thursday October 17: 9th grade students take NWEA - report to the commons.
1) Finish Lab 2 Constructing Perpendicular Bisector (see Thursday for DIRECTIONS).... get stamped
2) Hand in Composition Books
3) Create SNAIL TRAIL GRAFFITI amusement lab
4) Finish notecard prep for SLC
5) Red Island Puzzle... complete for Friday October 18.
Cut out the 16 squares at the bottom and paste them in the grid at the top.
* Be sure that edges of square match like dominoes.
* Be sure that there is one solid darker shaded region...
There can be no islands of white regions amid the darker shaded.
* Be sure that only vertices touch the outer perimeter of the grid.
* Be sure that no shaded edges are on the outer perimeter of the grid.
October 10, 2013 ~ Thursday
1) Student Led Conferences Preparation: PDF ... complete your notecard prep. Be sure to have your answers/outline/notecard for Humanities SLC prep and practice on Wednesday Oct 16.
On back of Handout: Brainstorm Academic Skills, Concepts, Work
Outline your notecard: Front: My Geometry Success.... Back: My Geometry Challenge....
2) Hand in 3 HW assn.
3) Geogebra LAB 2 Constructing Perpendicular Bisector... see DIRECTIONS on Oct 9 Wednesday
4) Mathematical Amusements ... Geogebra Lab A_Snail Trail Graffiti PDF
5) Composition Books are due FRIDAY
1) Student Led Conferences Preparation: PDF ... complete your notecard prep. Be sure to have your answers/outline/notecard for Humanities SLC prep and practice on Wednesday Oct 16.
On back of Handout: Brainstorm Academic Skills, Concepts, Work
Outline your notecard: Front: My Geometry Success.... Back: My Geometry Challenge....
2) Hand in 3 HW assn.
3) Geogebra LAB 2 Constructing Perpendicular Bisector... see DIRECTIONS on Oct 9 Wednesday
4) Mathematical Amusements ... Geogebra Lab A_Snail Trail Graffiti PDF
5) Composition Books are due FRIDAY
October 9, 2013 ~ Wednesday
GEOGEBRA: LAB 2 Constructing a Perpendicular Bisector
1) Glue the anchor tab for the questions (handout from class) into your composition book. Here are the questions for Lab 2 if you are not here to get them in class. Answer the questions in your composition book as you complete the lab.
2) Refer to the Lab 2 DIRECTIONS where you will find all of the steps to create this dynamic sketch. When you finish the sketch I will STAMP your composition book to show that your lab is complete. Make sure you answer the questions that go along with the lab in your comp book.
In order to update grades in POWER SCHOOL:
On Thursday be prepared to hand in the following pieces of work:
1) HW 6.8 page 49-50-51
2) HW Transformations on the Coordinate Plane #2-3-4-5-6 from Oct 3 and Oct 7
3) HW Oct 8 worksheet #1-5 (Point-Slope Equations of lines #1-2-3, Symmetry in Dodecagon #4, and
Graphing lines in point-slope form then finding perimeter of pentagon #5.)
On Friday be prepared to hand in your COMPOSITION BOOK with the following entries:
A) Linear Equations in slope-intercept and point-slope form - Sept 23
B) Reflections in the x-axis, y-axis or both - Sept 26
C) Reflections in the line y=x or y=-x - Sept 26
D) Rotations about the origin - Oct 1-2
E) Translations - Oct 1-2
F) Double Reflections in Two intersecting lines - Oct 1-2
G) Combinations of Transformations - Oct 1-2
H) GGB Lab 1: Euclid's Equilateral Triangle - Oct 8
I) GGB Lab 2: Constructing a Perpendicular Bisector - Oct 9
J) Comp Book Scoring Grid - Oct 10
GEOGEBRA: LAB 2 Constructing a Perpendicular Bisector
1) Glue the anchor tab for the questions (handout from class) into your composition book. Here are the questions for Lab 2 if you are not here to get them in class. Answer the questions in your composition book as you complete the lab.
2) Refer to the Lab 2 DIRECTIONS where you will find all of the steps to create this dynamic sketch. When you finish the sketch I will STAMP your composition book to show that your lab is complete. Make sure you answer the questions that go along with the lab in your comp book.
In order to update grades in POWER SCHOOL:
On Thursday be prepared to hand in the following pieces of work:
1) HW 6.8 page 49-50-51
2) HW Transformations on the Coordinate Plane #2-3-4-5-6 from Oct 3 and Oct 7
3) HW Oct 8 worksheet #1-5 (Point-Slope Equations of lines #1-2-3, Symmetry in Dodecagon #4, and
Graphing lines in point-slope form then finding perimeter of pentagon #5.)
On Friday be prepared to hand in your COMPOSITION BOOK with the following entries:
A) Linear Equations in slope-intercept and point-slope form - Sept 23
B) Reflections in the x-axis, y-axis or both - Sept 26
C) Reflections in the line y=x or y=-x - Sept 26
D) Rotations about the origin - Oct 1-2
E) Translations - Oct 1-2
F) Double Reflections in Two intersecting lines - Oct 1-2
G) Combinations of Transformations - Oct 1-2
H) GGB Lab 1: Euclid's Equilateral Triangle - Oct 8
I) GGB Lab 2: Constructing a Perpendicular Bisector - Oct 9
J) Comp Book Scoring Grid - Oct 10
October 8, 2013 ~ Tuesday
GEOGEBRA: LAB 1 Euclid's First Postulate
1) Glue the anchor tab for the questions (handout from class) into your composition book.
Here are the questions for Lab 1 if you are not here to get them in class. Answer the questions
as you complete the lab.
NOTE:
You cannot answer the questions without reading the Lab1 DIRECTIONS and without doing the LAB.
2) You must refer to the Lab 1 DIRECTIONS so please open this file on your computer... You may save this file to your Geogebra folder for future reference. Complete the steps outlined in the Lab1 DIRECTIONS using Geogebra to create a dynamic sketch. As you create and complete the lab, you will encounter questions. Answer these questions in your composition book as you get to them, before proceeding with the next steps of Lab1 DIRECTIONS.
You will receive a LIZARD STAMP in your composition book today WHEN I see your completed LAB.
If you do not finish in class today then you should finish for HW.
Homework: Point-slope equations of lines, Symmetry of dodecagon and Perimeter of pentagon region fenced-in by lines. HW Handout Also complete geogebra LAB1 if you did not finish in class today.
GEOGEBRA: LAB 1 Euclid's First Postulate
1) Glue the anchor tab for the questions (handout from class) into your composition book.
Here are the questions for Lab 1 if you are not here to get them in class. Answer the questions
as you complete the lab.
NOTE:
You cannot answer the questions without reading the Lab1 DIRECTIONS and without doing the LAB.
2) You must refer to the Lab 1 DIRECTIONS so please open this file on your computer... You may save this file to your Geogebra folder for future reference. Complete the steps outlined in the Lab1 DIRECTIONS using Geogebra to create a dynamic sketch. As you create and complete the lab, you will encounter questions. Answer these questions in your composition book as you get to them, before proceeding with the next steps of Lab1 DIRECTIONS.
You will receive a LIZARD STAMP in your composition book today WHEN I see your completed LAB.
If you do not finish in class today then you should finish for HW.
Homework: Point-slope equations of lines, Symmetry of dodecagon and Perimeter of pentagon region fenced-in by lines. HW Handout Also complete geogebra LAB1 if you did not finish in class today.
October 7, 2013 ~ Monday
Review HW answers from Thursday "Transformations on the Coordinate Plane" #2,3,4
Tonight HW: #5, 6
We will continue our work from Thursday & Friday "Desriptions of Congruence and Non-Congruence."
We will work in Geogebra to create triangles that illustrate Angle-Side-Angle and Angle-Angle-Side and determine if either of these provide sufficient evidence to conclude that two triangles are congruent.
BRING TO CLASS:
DO NOT download the app version!
Review HW answers from Thursday "Transformations on the Coordinate Plane" #2,3,4
Tonight HW: #5, 6
We will continue our work from Thursday & Friday "Desriptions of Congruence and Non-Congruence."
We will work in Geogebra to create triangles that illustrate Angle-Side-Angle and Angle-Angle-Side and determine if either of these provide sufficient evidence to conclude that two triangles are congruent.
BRING TO CLASS:
- a working computer with Geogebra installed.
- your computer charger and AC chord in case the battery is low.
DO NOT download the app version!
October 4, 2013 ~ Friday
STARTER: Page 58 #10-13
Open Geogebra.
From your Geogebra folder you will open the following files. You should have saved them from my DP on Wednesday. If you have not... Please check my DP and DO what it says on my DP...See Wednesday for details.
Open the file: Side-Angle-Side Congruence to explore the relationship between two triangles demonstrating the SAS congruence.
Open the file: Side-Side-Side Congruence to explore the relationship between to triangles demonstrating the SSS
congruence.
Open the file: Angle-Side-Angle Congruence to explore the relationship between to triangles demonstrating the ASA congruence.
Open the file: Angle-Angle-Angle Similarity to explore the relationship between two similar but not congruent triangles.
CLASSWORK: Continuation of Thursdays Classwork: on handout Descriptions of Congruence and Non-congruence. Create the triangles described in question #5 and #6 using Geogebra. Measure sides and angles to determine if triangles are congruent or not. What triangle congruence description are you applying?
GEOGEBRA: LAB 1 Euclid's First Postulate
1) Glue the anchor tab for the Questions into your composition book. Here are the questions for Lab 1.
NOTE: You cannot answer the questions without reading the Lab1 DIRECTIONS and without doing the LAB.
2) Complete the lab using Geogebra to create a dynamic sketch. You must refer to the Lab 1 DIRECTIONS
in order to complete the lab. As you create and complete the lab, you will encounter questions. Answer these questions in your composition book as you get to them.
HOMEWORK: pg 57-58 #3-11
STARTER: Page 58 #10-13
Open Geogebra.
From your Geogebra folder you will open the following files. You should have saved them from my DP on Wednesday. If you have not... Please check my DP and DO what it says on my DP...See Wednesday for details.
Open the file: Side-Angle-Side Congruence to explore the relationship between two triangles demonstrating the SAS congruence.
Open the file: Side-Side-Side Congruence to explore the relationship between to triangles demonstrating the SSS
congruence.
Open the file: Angle-Side-Angle Congruence to explore the relationship between to triangles demonstrating the ASA congruence.
Open the file: Angle-Angle-Angle Similarity to explore the relationship between two similar but not congruent triangles.
CLASSWORK: Continuation of Thursdays Classwork: on handout Descriptions of Congruence and Non-congruence. Create the triangles described in question #5 and #6 using Geogebra. Measure sides and angles to determine if triangles are congruent or not. What triangle congruence description are you applying?
GEOGEBRA: LAB 1 Euclid's First Postulate
1) Glue the anchor tab for the Questions into your composition book. Here are the questions for Lab 1.
NOTE: You cannot answer the questions without reading the Lab1 DIRECTIONS and without doing the LAB.
2) Complete the lab using Geogebra to create a dynamic sketch. You must refer to the Lab 1 DIRECTIONS
in order to complete the lab. As you create and complete the lab, you will encounter questions. Answer these questions in your composition book as you get to them.
HOMEWORK: pg 57-58 #3-11
October 3 ~ Thursday
Today we will begin to learn about Triangle Descriptions (SAS, SSS, ASA, SSA, AAS, AAA) and determine which of these provide sufficient evidence to conclude that two triangles are congruent.
In class complete the "Ready" questions #1-2 on page 56 to be sure you understand the markings indicated by the pairs of figures.
This document PDF contains the criteria for the triangles we will draw in the following activity.
ACTIVITY: We will use a ruler and protractor to draw triangles and compare our results with our classmates to see if there is one or more possible triangle that can be drawn according to given criteria. We will determine which Triangle Description might be used to describe the triangles we have drawn and decide which of descriptions in the list are sufficient to conclude congruence. (We will complete drawings for #1, #2, #3 and #4 in class today.)
HOMEWORK: Transformations on the Coordinate Plane PDF Complete question #2,3,4 on your own graph paper.
Bring your computer on Friday.
Today we will begin to learn about Triangle Descriptions (SAS, SSS, ASA, SSA, AAS, AAA) and determine which of these provide sufficient evidence to conclude that two triangles are congruent.
In class complete the "Ready" questions #1-2 on page 56 to be sure you understand the markings indicated by the pairs of figures.
This document PDF contains the criteria for the triangles we will draw in the following activity.
ACTIVITY: We will use a ruler and protractor to draw triangles and compare our results with our classmates to see if there is one or more possible triangle that can be drawn according to given criteria. We will determine which Triangle Description might be used to describe the triangles we have drawn and decide which of descriptions in the list are sufficient to conclude congruence. (We will complete drawings for #1, #2, #3 and #4 in class today.)
HOMEWORK: Transformations on the Coordinate Plane PDF Complete question #2,3,4 on your own graph paper.
Bring your computer on Friday.
OCTOBER 2 ~ Wednesday
Schedule today:
period 1.....8:15-8:55
9:00...........meet in advisory
9:15...........board the busses in advisory groups
10:00.........Durango Connect event on the river trail (we'll be near the DoubleTree Hotel)
lunch..........11:20-11:50
period 2......11:55-12:25
period 3......12:30-1:00
period 5......1:05-1:35
period 6......1:40-2:10
advisory......2:15-3:15
Animas High School E-mail:
username: firstinitial.lastname + last two digits of year of graduation@animashighschool.com
be sure you can login using the created password ...
Once logged in CHANGE your password to something you will remember.
You may forward other mail to this e-mail but animas high school e-mail will be used to communicate with you. Check this e-mail. Correspondence from you should also come from this e-mail address when communicating with teachers and the community regarding Animas High School.
Computer Folders and Files Organization Set-Up:
On your computer you should have a MATH-Geometry folder. Within the MATH-Geometry folder you should have a folder for Modules which will contain MVP materials and another folder for Geogebra files.
Within Geogebra Folder create a folder for Module 6 GGB Labs. We will create other folders as directed later.
Go to Mathematics Vision Project Secondary ONE materials link at the top of this page. Download Module 6 and save this PDF document with the file title Module 6_Congruence Construction and Proof in your Modules folder.
Geogebra Labs:
Download and Save to your computer in the folder for Geogebra Folder the following four Geogebra files.
1) Angle-Side-Angle Congruence GGB file
2) Side-Angle-Side Congruence GGB file
3) Side-Side-Side Congruence GGB file
4) Angle-Angle-Angle Similarity GGB file
HOMEWORK: Be sure you have an organizational system for folders on your computer. Save Sec 1 Mod 6 and the four GGB files above into the appropriate folders.
Schedule today:
period 1.....8:15-8:55
9:00...........meet in advisory
9:15...........board the busses in advisory groups
10:00.........Durango Connect event on the river trail (we'll be near the DoubleTree Hotel)
lunch..........11:20-11:50
period 2......11:55-12:25
period 3......12:30-1:00
period 5......1:05-1:35
period 6......1:40-2:10
advisory......2:15-3:15
Animas High School E-mail:
username: firstinitial.lastname + last two digits of year of graduation@animashighschool.com
be sure you can login using the created password ...
Once logged in CHANGE your password to something you will remember.
You may forward other mail to this e-mail but animas high school e-mail will be used to communicate with you. Check this e-mail. Correspondence from you should also come from this e-mail address when communicating with teachers and the community regarding Animas High School.
Computer Folders and Files Organization Set-Up:
On your computer you should have a MATH-Geometry folder. Within the MATH-Geometry folder you should have a folder for Modules which will contain MVP materials and another folder for Geogebra files.
Within Geogebra Folder create a folder for Module 6 GGB Labs. We will create other folders as directed later.
Go to Mathematics Vision Project Secondary ONE materials link at the top of this page. Download Module 6 and save this PDF document with the file title Module 6_Congruence Construction and Proof in your Modules folder.
Geogebra Labs:
Download and Save to your computer in the folder for Geogebra Folder the following four Geogebra files.
1) Angle-Side-Angle Congruence GGB file
2) Side-Angle-Side Congruence GGB file
3) Side-Side-Side Congruence GGB file
4) Angle-Angle-Angle Similarity GGB file
HOMEWORK: Be sure you have an organizational system for folders on your computer. Save Sec 1 Mod 6 and the four GGB files above into the appropriate folders.
October 1 ~ Tuesday
Thank you everyone who turned in Quiz corrections that were due Friday. Your corrections indicate a better understanding and grades are going UP as a result.
Composition Book Entries:
1) Rotations about the origin
2) Translations using horizontal and vertical shifts
3) Double Reflections = Single Rotations
4) Combinations of Transformations (translations, reflections, rotations)
CLASSWORK to finish for HOMEWORK: Combinations of transformations and the 1 to 8 NUMBER puzzle challenge
Thank you everyone who turned in Quiz corrections that were due Friday. Your corrections indicate a better understanding and grades are going UP as a result.
Composition Book Entries:
1) Rotations about the origin
2) Translations using horizontal and vertical shifts
3) Double Reflections = Single Rotations
4) Combinations of Transformations (translations, reflections, rotations)
CLASSWORK to finish for HOMEWORK: Combinations of transformations and the 1 to 8 NUMBER puzzle challenge
SEPTEMBER 27, 2013 ~ Friday
Monday is a Professional Development Day for teachers... So students, "Don't come to school." We will see you Tuesday.
Today:
QUIZ corrections are due today. Thank you for correcting and learning from your mistakes.
Hand in HW from Sept 23- 24 Monday and Tuesday this week. Worksheet on reflections and rotations.
Sequence of Transformations Activity PDF
Review your progress on page 45: What do we know about properties and congruence in quadrilaterals because we know the rotational and line symmetry of the quadrilateral?
... 6th period and 3rd period did not get to do this today
Complete the Task on page 48: Combinations of Transformations (reflections, rotations and translations)
Describe a sequence of transformations that will carry a pre-image onto its congruent image.
Review HW answers on page 49, 51
ASSIGN HW page 50 #4,5,6
Monday is a Professional Development Day for teachers... So students, "Don't come to school." We will see you Tuesday.
Today:
QUIZ corrections are due today. Thank you for correcting and learning from your mistakes.
Hand in HW from Sept 23- 24 Monday and Tuesday this week. Worksheet on reflections and rotations.
Sequence of Transformations Activity PDF
Review your progress on page 45: What do we know about properties and congruence in quadrilaterals because we know the rotational and line symmetry of the quadrilateral?
... 6th period and 3rd period did not get to do this today
Complete the Task on page 48: Combinations of Transformations (reflections, rotations and translations)
Describe a sequence of transformations that will carry a pre-image onto its congruent image.
Review HW answers on page 49, 51
ASSIGN HW page 50 #4,5,6
SEPTEMBER 26, 2013 ~ Thursday
Answers to Folding Cutting Unfolding Puzzle: left side: A D D right side: C B C
Composition Book Entries: Reflections in X-axis, Y-axis and both axes. Reflections in lines y=x and y=-x.
QUIZ corrections are due Friday. Office hour available at lunch today.
Classwork: refer to page 45 and complete the flow chart with additional properties that you can conclude about the quadrilateral because you know the line and rotation symmetry of the shape?
?? What do we know about the parallelogram because we know it has 180 degrees rotational symmetry?
?? What do we know about the rhombus because we know it has 180 degrees rotational symmetry and two diagonal lines of symmetry?
?? What do we know about the rectangle because we know it has 180 degrees rotational symmetry and 2 lines of reflection through midpoints?
?? What do we know about the square because it has 90 & 180 degree rotational symmetry and 4 lines of reflection (2 diagonals and 2 lines through midpoints)?
Homework: QUIZ corrections... and catch up on any HW that is incomplete...
Answers to Folding Cutting Unfolding Puzzle: left side: A D D right side: C B C
Composition Book Entries: Reflections in X-axis, Y-axis and both axes. Reflections in lines y=x and y=-x.
QUIZ corrections are due Friday. Office hour available at lunch today.
Classwork: refer to page 45 and complete the flow chart with additional properties that you can conclude about the quadrilateral because you know the line and rotation symmetry of the shape?
?? What do we know about the parallelogram because we know it has 180 degrees rotational symmetry?
?? What do we know about the rhombus because we know it has 180 degrees rotational symmetry and two diagonal lines of symmetry?
?? What do we know about the rectangle because we know it has 180 degrees rotational symmetry and 2 lines of reflection through midpoints?
?? What do we know about the square because it has 90 & 180 degree rotational symmetry and 4 lines of reflection (2 diagonals and 2 lines through midpoints)?
Homework: QUIZ corrections... and catch up on any HW that is incomplete...
SEPTEMBER 25, 2013 ~ Wednesday
Starter: Draw Lines of Reflection given pre-image and image. Locate the Center of Rotation given pre-image and image ten measure the angle of rotation.
We will check your answers to the rotations practice from last nights HW.
Classwork: Check Question 9 regarding generalization
HW grades in Powerschool: Today Cathy will record HW grades to update your progress in PowerSchool for the following pages from Module 6:
PP 32-34: 6.5 Symmetries of Quadrilaterals 5/5
PP 38-41: 6.6 Symmetries of Polygons 5/5
PP 46-47: 6.7 Quadrilaterals Beyond Definitions 5/5
IF you failed to show Cathy completed work but would like to complete the work and change your grade, THEN you must see Cathy. She will not ask you for this work again. She did that already. You must go to her with this work.
HOMEWORK: 6.8 pp 49 & 51: #1-3, #7-10
Starter: Draw Lines of Reflection given pre-image and image. Locate the Center of Rotation given pre-image and image ten measure the angle of rotation.
We will check your answers to the rotations practice from last nights HW.
Classwork: Check Question 9 regarding generalization
HW grades in Powerschool: Today Cathy will record HW grades to update your progress in PowerSchool for the following pages from Module 6:
PP 32-34: 6.5 Symmetries of Quadrilaterals 5/5
PP 38-41: 6.6 Symmetries of Polygons 5/5
PP 46-47: 6.7 Quadrilaterals Beyond Definitions 5/5
IF you failed to show Cathy completed work but would like to complete the work and change your grade, THEN you must see Cathy. She will not ask you for this work again. She did that already. You must go to her with this work.
HOMEWORK: 6.8 pp 49 & 51: #1-3, #7-10
SEPTEMBER 24, 2013 ~ Tuesday
Starter: Reflections and Rotations (90, 180, 270 degrees). Geometric markings will indicate corresponding congruent parts.
We will check your answers to the reflections you drew last night and the generalizations of the images of (x, y) pre-image points.
Homework: More practice with rotations and generalizations. Complete Questions #6-11 on the back side of the worksheet. See PDF from Monday.
Starter: Reflections and Rotations (90, 180, 270 degrees). Geometric markings will indicate corresponding congruent parts.
We will check your answers to the reflections you drew last night and the generalizations of the images of (x, y) pre-image points.
Homework: More practice with rotations and generalizations. Complete Questions #6-11 on the back side of the worksheet. See PDF from Monday.
SEPTEMBER 23, 2013 ~ Monday
Composition Book Entry #1: Linear Equations A) slope-intercept form and B) point-slope form.
How to find the y-intercept from the equation.
How to find the x-intercept from the equation.
Converting from Point-slope form to slope-intercept form
Homework: More practice with Reflections of shapes in Lines. PDF Questions #1-5 on the front.
Composition Book Entry #1: Linear Equations A) slope-intercept form and B) point-slope form.
How to find the y-intercept from the equation.
How to find the x-intercept from the equation.
Converting from Point-slope form to slope-intercept form
Homework: More practice with Reflections of shapes in Lines. PDF Questions #1-5 on the front.
SEPTEMBER 20, 2013 ~ Friday
Paper Folding-Cutting-Unfolding Puzzle: Think~Play~Try~Do then choose your answer to match the fold and cuts... Please complete by Wednesday Sept 25 PDF puzzle
Today's Learning Goal: Calculating Slope and Distance.
Determine the slope of a segment from its graph and its endpoint coordinates.
Determine the length of a segment from its slope and its coordinates.
Generalize the formulas for slope and distance.
Homework: Page 47 #13-18, Calculate slope and Distance
Page 46 #1-12 Defining Congruence and Similarity. Classifying quadrilaterals based on their properties.
FYI: During classwork time I stamped off a lot of pages in Module 6 that you should have completed during classwork or for homework. (Caterpillars every where!)
Quiz returned. Please see me for quiz corrections especially if you did not earn the maximum number of possible points back for quiz corrections on the first quiz. Office hours Tuesday 3:30-4:30 and Wednesday lunch.
On your quiz there is the quiz grade out of 30 points. There is also your current average denoted with C.A. #%. There is also an up or down arrow with a number indicating that this quiz brought your grade up that number of percentage points or down that number. Our goal is to always see a rise in your current average. If this is not happening, please come see me and we can talk strategies to help you better understand concepts and be able to apply them..
Paper Folding-Cutting-Unfolding Puzzle: Think~Play~Try~Do then choose your answer to match the fold and cuts... Please complete by Wednesday Sept 25 PDF puzzle
Today's Learning Goal: Calculating Slope and Distance.
Determine the slope of a segment from its graph and its endpoint coordinates.
Determine the length of a segment from its slope and its coordinates.
Generalize the formulas for slope and distance.
Homework: Page 47 #13-18, Calculate slope and Distance
Page 46 #1-12 Defining Congruence and Similarity. Classifying quadrilaterals based on their properties.
FYI: During classwork time I stamped off a lot of pages in Module 6 that you should have completed during classwork or for homework. (Caterpillars every where!)
Quiz returned. Please see me for quiz corrections especially if you did not earn the maximum number of possible points back for quiz corrections on the first quiz. Office hours Tuesday 3:30-4:30 and Wednesday lunch.
On your quiz there is the quiz grade out of 30 points. There is also your current average denoted with C.A. #%. There is also an up or down arrow with a number indicating that this quiz brought your grade up that number of percentage points or down that number. Our goal is to always see a rise in your current average. If this is not happening, please come see me and we can talk strategies to help you better understand concepts and be able to apply them..
SEPTEMBER 19, 2013 ~ Thursday
QUIZ TODAY: Lines in Point-Slope form, Lines of Reflection, Centers and Angles of Rotation
Today's Learning Goal:
1) demonstrate your understanding of reflections and rotations.
2) Students will practice making and justifying conjectures about geometric figures that are based on reasoning and definitions of the two rigid-motion transformations reflection and rotation. This practice is setting the foundation for future proof.
6.7 Quadrilaterals - Beyond Definition
Continuation of CLASSWORK: A Practice Understanding Task page 42-45
1) classify quadrilaterals based on descriptions of symmetries
2) based on symmetries make conjectures about other features and properties that quadrilaterals possess.
THINK ABOUT THESE QUESTIONS as you formulate your conjectures:
Is there anything I can say about ...
... opposite sides?
... opposite angles?
... adjacent sides?
... adjacent angles?
... the diagonals and the way they interact with each other?
... the diagonals and the way they interact with opposite angles?
HOMEWORK: Finish writing conjectures for parallelogram, rhombus and square Pages 43-44.
Think~Play~Try~Do... Paper folding, Cuts and Unfolding PDF
QUIZ TODAY: Lines in Point-Slope form, Lines of Reflection, Centers and Angles of Rotation
Today's Learning Goal:
1) demonstrate your understanding of reflections and rotations.
2) Students will practice making and justifying conjectures about geometric figures that are based on reasoning and definitions of the two rigid-motion transformations reflection and rotation. This practice is setting the foundation for future proof.
6.7 Quadrilaterals - Beyond Definition
Continuation of CLASSWORK: A Practice Understanding Task page 42-45
1) classify quadrilaterals based on descriptions of symmetries
2) based on symmetries make conjectures about other features and properties that quadrilaterals possess.
THINK ABOUT THESE QUESTIONS as you formulate your conjectures:
Is there anything I can say about ...
... opposite sides?
... opposite angles?
... adjacent sides?
... adjacent angles?
... the diagonals and the way they interact with each other?
... the diagonals and the way they interact with opposite angles?
HOMEWORK: Finish writing conjectures for parallelogram, rhombus and square Pages 43-44.
Think~Play~Try~Do... Paper folding, Cuts and Unfolding PDF
SEPTEMBER 18, 2013 ~ Wednesday
STARTER: Use information from yesterdays class. If Sally takes a second quiz worth 35 points this week, determine what score she needs on the quiz to raise her grade to the next letter grade from 87% to 90%.
Yesterday Sally's Average Grade = 0.20 (51.8 / 56) + 0.80 (30 / 35)
Let X represent the points Sally earns on tomorrows quiz out of 35.
Write an equation and solve for X.
QUIZ tomorrow will have questions about
1) Lines written in point-slope form (see examples on HW Pg 34)
2) Reflecting points and shapes in Lines of Reflection (see examples on HW Pg 40)
3) Drawing lines of Reflection given pre-image and image (see examples on HW Pg 41)
4) Rotating points about center of rotation by a given angle (see examples on HW Pg 26)
Write the equation of the lines in point-slope form
A) passing through point (-2, 5) having slope 7/8
B) passing through point (-3, 1) perpendicular to the previous line
In class we will review HW Page 40-41: to be sure you know
* how to reflect a point or shape in a line
* how to draw the line of reflection given the pre-image and image.
* how to rotate a point around a center of rotation by a given angle
Today's Learning Goal: Students will practice making and justifying conjectures about geometric figures that are based on reasoning and definitions of the two rigid-motion transformations reflection and rotation. This practice is setting the foundation for future proof.
6.7 Quadrilaterals - Beyond Definition
CLASSWORK: A Practice Understanding Task page 42-45
1) classify quadrilaterals based on descriptions of symmetries
2) based on symmetries make conjectures about other features and properties that quadrilaterals possess.
THINK ABOUT THESE QUESTIONS as you formulate your conjectures:
Is there anything I can say about ...
... opposite sides?
... opposite angles?
... adjacent sides?
... adjacent angles?
... the diagonals and the way they interact with each other?
... the diagonals and the way they interact with opposite angles?
HOMEWORK: Finish writing conjectures for parallelogram, rhombus and square Pages 43-44.
STARTER: Use information from yesterdays class. If Sally takes a second quiz worth 35 points this week, determine what score she needs on the quiz to raise her grade to the next letter grade from 87% to 90%.
Yesterday Sally's Average Grade = 0.20 (51.8 / 56) + 0.80 (30 / 35)
Let X represent the points Sally earns on tomorrows quiz out of 35.
Write an equation and solve for X.
QUIZ tomorrow will have questions about
1) Lines written in point-slope form (see examples on HW Pg 34)
2) Reflecting points and shapes in Lines of Reflection (see examples on HW Pg 40)
3) Drawing lines of Reflection given pre-image and image (see examples on HW Pg 41)
4) Rotating points about center of rotation by a given angle (see examples on HW Pg 26)
Write the equation of the lines in point-slope form
A) passing through point (-2, 5) having slope 7/8
B) passing through point (-3, 1) perpendicular to the previous line
In class we will review HW Page 40-41: to be sure you know
* how to reflect a point or shape in a line
* how to draw the line of reflection given the pre-image and image.
* how to rotate a point around a center of rotation by a given angle
Today's Learning Goal: Students will practice making and justifying conjectures about geometric figures that are based on reasoning and definitions of the two rigid-motion transformations reflection and rotation. This practice is setting the foundation for future proof.
6.7 Quadrilaterals - Beyond Definition
CLASSWORK: A Practice Understanding Task page 42-45
1) classify quadrilaterals based on descriptions of symmetries
2) based on symmetries make conjectures about other features and properties that quadrilaterals possess.
THINK ABOUT THESE QUESTIONS as you formulate your conjectures:
Is there anything I can say about ...
... opposite sides?
... opposite angles?
... adjacent sides?
... adjacent angles?
... the diagonals and the way they interact with each other?
... the diagonals and the way they interact with opposite angles?
HOMEWORK: Finish writing conjectures for parallelogram, rhombus and square Pages 43-44.
SEPTEMBER 17, 2013 ~ Tuesday
STARTER... MOVED TO END OF CLASS TODAY: Here are some "made up" examples of student grades ...
Calculate each students current grade in the class.
Assignments in Black are completion grades worth 20% of the grade.
Assignments in Red are graded work worth 80% of the grade.
Assn: hw1 hw2 hw3 FD1 Syll QUIZ corrections HW trans FD2 Quads Pt Slope hw4
Points 5 5 5 5 5 35 0 10 5 6 5 5
Sally: 4 3.5 5 5 5 25 5 8 5 6 5.5 4.8
Billy: 5 5 0 5 5 25 1 8 5 5.5 4.8 4.5
1) Find the total point value of completion work
2) Find the total point value of graded work
3) Find Sally's total points earned for completion and graded work. Repeat for Billy.
4) Calculate current average for Sally and Billy IF completion work is 20% and graded work is 80% of the grade using the following formula: Current average Grade =
(0.20)*(sum of completion points earned) / (sum of completion points possible)
+ (0.80)*(sum of graded points earned) / (sum of graded points possible)
Today's Learning Goal:
Today's Learning Goals: Students will be able to describe rotations and reflections that carry a shape (rectangle, parallelogram, rhombus, trapezoid or regular polygon) onto itself. Students will be able to
use descriptions of rigid motions to transform figures and predict the effect of a given rigid motion on a
given figure.
3) Reflection Symmetry and Rotational Symmetry: hinge Mirror Activity using pages 35-36-38 and straight edge and pencil, draw all lines of reflection and rotational symmetry in regular polygons. Look for patterns in the number and characteristics of the lines of symmetry. Look for patterns that describe rotational symmetry.
4) HW: Page 39-40-41 #4-15
Other Business:
6) File Folders for Computer Organization: see picture below.
7) Save PDF of Module 6 Congruence, Construction and Proof to your Geometry Folder
STARTER... MOVED TO END OF CLASS TODAY: Here are some "made up" examples of student grades ...
Calculate each students current grade in the class.
Assignments in Black are completion grades worth 20% of the grade.
Assignments in Red are graded work worth 80% of the grade.
Assn: hw1 hw2 hw3 FD1 Syll QUIZ corrections HW trans FD2 Quads Pt Slope hw4
Points 5 5 5 5 5 35 0 10 5 6 5 5
Sally: 4 3.5 5 5 5 25 5 8 5 6 5.5 4.8
Billy: 5 5 0 5 5 25 1 8 5 5.5 4.8 4.5
1) Find the total point value of completion work
2) Find the total point value of graded work
3) Find Sally's total points earned for completion and graded work. Repeat for Billy.
4) Calculate current average for Sally and Billy IF completion work is 20% and graded work is 80% of the grade using the following formula: Current average Grade =
(0.20)*(sum of completion points earned) / (sum of completion points possible)
+ (0.80)*(sum of graded points earned) / (sum of graded points possible)
Today's Learning Goal:
Today's Learning Goals: Students will be able to describe rotations and reflections that carry a shape (rectangle, parallelogram, rhombus, trapezoid or regular polygon) onto itself. Students will be able to
use descriptions of rigid motions to transform figures and predict the effect of a given rigid motion on a
given figure.
3) Reflection Symmetry and Rotational Symmetry: hinge Mirror Activity using pages 35-36-38 and straight edge and pencil, draw all lines of reflection and rotational symmetry in regular polygons. Look for patterns in the number and characteristics of the lines of symmetry. Look for patterns that describe rotational symmetry.
4) HW: Page 39-40-41 #4-15
Other Business:
6) File Folders for Computer Organization: see picture below.
7) Save PDF of Module 6 Congruence, Construction and Proof to your Geometry Folder
SEPTEMBER 16, 2013 ~ Monday
1) STARTER ... related to HW being returned today. Starter handout.... document PDF or WORD
2) Check HW p 32-33-34 Questions???
We clarified/reviewed how to write equations of lines in point-slope form
We confirmed number of lines of symmetry in each regular polygon and generalized the pattern
We confirmed the number of diagonals in each regular polygon and offered HINTS to find the pattern.
Finish pg 32-34 for HW repeat...
1) STARTER ... related to HW being returned today. Starter handout.... document PDF or WORD
2) Check HW p 32-33-34 Questions???
We clarified/reviewed how to write equations of lines in point-slope form
We confirmed number of lines of symmetry in each regular polygon and generalized the pattern
We confirmed the number of diagonals in each regular polygon and offered HINTS to find the pattern.
Finish pg 32-34 for HW repeat...
SEPTEMBER 13, 2013 ~ Friday
1) HAND - IN TODAY
A) Worksheet: Equations of Lines in Point-Slope Form work from Wed 9/11 and Thu 9/12 this week.
B) HW 6.4 pages 24-25-26 from last Friday 9/6. You may turn them in by the end of the day ...
but they will be LATE if you turn them in on Monday.
2) Pick up from binder
A) Classwork 6.5 pages 27-31 to complete the Geogebra Exploration (use this link GGB FILE for the symmetry of quads exploration) and record your findings for lines of symmetry and centers and angles of rotation in rectangle, parallelogram, rhombus, square and trapezoid. Commands you will need are shown below.
B) HW 6.5 pages 32-33-34 polygon lines of symmetry, diagonals and equations of lines.
3) Quiz corrections are due on Monday.
TODAY's LEARNING GOAL: Students will be able to describe Symmetry by Reflection and Rotation. Students will be able to use descriptions of rigid motions to transform figures and predict the effect of the motion on the figure.
Students will complete the exploration to find lines of reflection that carry a quadrilateral onto itself by either reflection or rotation. Record your findings on pages 27-31. Draw and label the line of reflection on the shape. List all of the lines of reflection. Locate and label the center of rotation and determine the angles of rotation that carry the shape onto itself. List the center and all angles of rotation.
1) HAND - IN TODAY
A) Worksheet: Equations of Lines in Point-Slope Form work from Wed 9/11 and Thu 9/12 this week.
B) HW 6.4 pages 24-25-26 from last Friday 9/6. You may turn them in by the end of the day ...
but they will be LATE if you turn them in on Monday.
2) Pick up from binder
A) Classwork 6.5 pages 27-31 to complete the Geogebra Exploration (use this link GGB FILE for the symmetry of quads exploration) and record your findings for lines of symmetry and centers and angles of rotation in rectangle, parallelogram, rhombus, square and trapezoid. Commands you will need are shown below.
B) HW 6.5 pages 32-33-34 polygon lines of symmetry, diagonals and equations of lines.
3) Quiz corrections are due on Monday.
TODAY's LEARNING GOAL: Students will be able to describe Symmetry by Reflection and Rotation. Students will be able to use descriptions of rigid motions to transform figures and predict the effect of the motion on the figure.
Students will complete the exploration to find lines of reflection that carry a quadrilateral onto itself by either reflection or rotation. Record your findings on pages 27-31. Draw and label the line of reflection on the shape. List all of the lines of reflection. Locate and label the center of rotation and determine the angles of rotation that carry the shape onto itself. List the center and all angles of rotation.
SEPTEMBER 12, 2013 ~ Thursday
NOTE: you will hand in two assignments on Friday, tomorrow.
1) Linear Equations in Point-Slope form worksheet from Wednesday
2) 6.4 HW pages 24-25-26 #7-25
1) VOCABULARY: Isometries are rigid-motion transformations such as rotations, reflections and translations that map the pre-image onto the image while maintaining side lengths and angle measures. Because these transformations maintain size and shape they are called rigid-motion transformations.
2) Two types of Symmetry
one) a line of symmetry may exist that reflects a figure onto itself.
two) a center of rotation may exist about which a figure may be rotated onto itself.
3) Symmetries of Quadrilaterals Activity pages 27-31: You may complete individually or in small groups.
CLASSWORK & finish for HOMEWORK...Read and DO pages 27-31
Use rigid motion transformations to explore line symmetry and rotational symmetry in any rectangle, parallelogram, rhombus, square and trapezoid.
For each shape find
a) any lines of reflection... for example draw and label the reflection segment EF on your paper so you can refer to
EF as a line of reflection that carries the shape onto itself.
b) any centers and angles of rotation... for example plot and label point Q as the center of rotation and state what
angle of rotation maps the shape onto itself.
Describe the rotations and or reflections that carry the shape onto itself.
BE SPECIFIC in your descriptions providing evidence for your conclusions.
You may NOT base your conclusion on "looks" but you may use reasoning based on the definition of rigid-motion transformations and the defining properties of the shape.
Is there more than one line of symmetry? Describe them all.
How do you locate the center of rotation?
Is there more than one angle that carries a shape onto itself by rotation? Describe them all.
Which quadrilateral has the most types of symmetry? Why is this the case?
You may use Geogebra to explore symmetries. Download the file to your math folder on your computer.
Open Geogebra and then open the file from within Geogebra.
GGB file: GGB QUAD SYMMETRY EXPLORATION
HOMEWORK: Page 27-31 symmetries of quadrilaterals.
Facial Symmetry... "Will the real Lyle Lovett and Julia Roberts please stand up."
NOTE: you will hand in two assignments on Friday, tomorrow.
1) Linear Equations in Point-Slope form worksheet from Wednesday
2) 6.4 HW pages 24-25-26 #7-25
1) VOCABULARY: Isometries are rigid-motion transformations such as rotations, reflections and translations that map the pre-image onto the image while maintaining side lengths and angle measures. Because these transformations maintain size and shape they are called rigid-motion transformations.
2) Two types of Symmetry
one) a line of symmetry may exist that reflects a figure onto itself.
two) a center of rotation may exist about which a figure may be rotated onto itself.
3) Symmetries of Quadrilaterals Activity pages 27-31: You may complete individually or in small groups.
CLASSWORK & finish for HOMEWORK...Read and DO pages 27-31
Use rigid motion transformations to explore line symmetry and rotational symmetry in any rectangle, parallelogram, rhombus, square and trapezoid.
For each shape find
a) any lines of reflection... for example draw and label the reflection segment EF on your paper so you can refer to
EF as a line of reflection that carries the shape onto itself.
b) any centers and angles of rotation... for example plot and label point Q as the center of rotation and state what
angle of rotation maps the shape onto itself.
Describe the rotations and or reflections that carry the shape onto itself.
BE SPECIFIC in your descriptions providing evidence for your conclusions.
You may NOT base your conclusion on "looks" but you may use reasoning based on the definition of rigid-motion transformations and the defining properties of the shape.
Is there more than one line of symmetry? Describe them all.
How do you locate the center of rotation?
Is there more than one angle that carries a shape onto itself by rotation? Describe them all.
Which quadrilateral has the most types of symmetry? Why is this the case?
You may use Geogebra to explore symmetries. Download the file to your math folder on your computer.
Open Geogebra and then open the file from within Geogebra.
GGB file: GGB QUAD SYMMETRY EXPLORATION
HOMEWORK: Page 27-31 symmetries of quadrilaterals.
Facial Symmetry... "Will the real Lyle Lovett and Julia Roberts please stand up."
SEPTEMBER 11, 2013 ~ Wednesday
"Good mathematical thinking requires the ability to try things without really knowing where the path will lead, but learning something from your efforts." ... Thanks Donna for this comment.
STARTER: (see below) Given the expression for slope, write the two points that produce the slope.
1) Equations of lines in point-slope form. Finish classwork from Tuesday ... will be HW if not complete in class today.
2) Check answers to HW 6.4 page 24-25-26 especially equations of lines of reflection #9, 10, 11 a and b.
3) Students will receive additional pages for Module 6 pp 27-58 to be placed in 3-ring binder.
4) 6.5 Symmetries of Quadrilaterals: Draw and describe lines of symmetry for quadrilaterals on pages 27-31
5) Bring computers Thursday and Friday. Download Geogebra if you have not already done so.
6) Friday I will collect pages 24-26 and worksheet on Equations of Lines in Point-Slope form.
"Good mathematical thinking requires the ability to try things without really knowing where the path will lead, but learning something from your efforts." ... Thanks Donna for this comment.
STARTER: (see below) Given the expression for slope, write the two points that produce the slope.
1) Equations of lines in point-slope form. Finish classwork from Tuesday ... will be HW if not complete in class today.
2) Check answers to HW 6.4 page 24-25-26 especially equations of lines of reflection #9, 10, 11 a and b.
3) Students will receive additional pages for Module 6 pp 27-58 to be placed in 3-ring binder.
4) 6.5 Symmetries of Quadrilaterals: Draw and describe lines of symmetry for quadrilaterals on pages 27-31
5) Bring computers Thursday and Friday. Download Geogebra if you have not already done so.
6) Friday I will collect pages 24-26 and worksheet on Equations of Lines in Point-Slope form.
SEPTEMBER 10, 2013 ~ Tuesday
0) A little info about QUIZ CORRECTIONS
1) In your groups from yesterday: Record the six quadrilaterals on the piece of graph paper along with group member names. Hand in to Cathy within the first 5 minutes of start of class.
Starters: see picture below for two starters...
2) Take out Classwork PDF: Solving Equations handout from Sept 3rd last week. Today we will finish solving the equations in part 2, 3 and 4.
3) Equations of lines in Slope-Intercept Form: y = mx + b and in Point-Slope Form: y = m(x - h) + k
Classwork and HW practice.
0) A little info about QUIZ CORRECTIONS
1) In your groups from yesterday: Record the six quadrilaterals on the piece of graph paper along with group member names. Hand in to Cathy within the first 5 minutes of start of class.
Starters: see picture below for two starters...
2) Take out Classwork PDF: Solving Equations handout from Sept 3rd last week. Today we will finish solving the equations in part 2, 3 and 4.
3) Equations of lines in Slope-Intercept Form: y = mx + b and in Point-Slope Form: y = m(x - h) + k
Classwork and HW practice.
SEPTEMBER 9, 2013 ~ Monday
1) Starter: Complete in a clean sheet of paper
Plot the line y = -3/2 X +5. Put arrows on the ends and label this line m.
Plot the point P (-2, -5)
Reflect point in line m. Label this point P' and label the (x, y) coordinate.
Draw the line parallel to line m through point P. Write the equation of this line.
Draw the line parallel to line m through P'. Write the equation of this line.
2) Quadrilaterals:
Perfect Squares List: How will this list help you find the specified lengths?
On a piece of graph paper,
A) record names of group members
B) draw 6 quadrilaterals that satisfy the requirements
C) be sure that every member of the group understands
D) HOMEWORK: All six quadrilaterals... Try again to meet criteria and finish all six.
3) QUIZ corrections = HOMEWORK tonight ... see me for office hours with questions tomorrow.
From my Course Syllabus:
Corrections must be completed on a separate sheet of graph paper.
You must show all work that leads to the correct answer for corrections.
You may get help from me during office hours. You may consult your notes or friends but copying the correct answer from another student will not help you understand the concepts. Be honest with yourself about what you know and do not know. Your goal is to understand and learn from your mistakes.
Corrections: For most quizzes and tests that are 35 points or more, (except for cumulative exams on which there are NO corrections), students will have the opportunity to make corrections and earn back one-half of their missed points. All students are expected to do corrections following outlined guidelines. All students are expected to earn back the maximum number of points by attending office hours for help if needed. Corrections are due within one week of tests being returned to students.
Corrections are equivalent to EXTRA CREDIT.... the ONLY extra credit opportunity students will have.
If you score 70 out of 100, you could earn 15 points with “correct” corrections, bringing your grade to 85%.
If you score 50 out of 100, you could earn 25 points with “correct” corrections, bringing your grade to 75%.
ALWAYS do corrections and do them correctly!
There is no excuse for earning less than the maximum number of correction points.
1) Starter: Complete in a clean sheet of paper
Plot the line y = -3/2 X +5. Put arrows on the ends and label this line m.
Plot the point P (-2, -5)
Reflect point in line m. Label this point P' and label the (x, y) coordinate.
Draw the line parallel to line m through point P. Write the equation of this line.
Draw the line parallel to line m through P'. Write the equation of this line.
2) Quadrilaterals:
Perfect Squares List: How will this list help you find the specified lengths?
On a piece of graph paper,
A) record names of group members
B) draw 6 quadrilaterals that satisfy the requirements
C) be sure that every member of the group understands
D) HOMEWORK: All six quadrilaterals... Try again to meet criteria and finish all six.
3) QUIZ corrections = HOMEWORK tonight ... see me for office hours with questions tomorrow.
From my Course Syllabus:
Corrections must be completed on a separate sheet of graph paper.
You must show all work that leads to the correct answer for corrections.
You may get help from me during office hours. You may consult your notes or friends but copying the correct answer from another student will not help you understand the concepts. Be honest with yourself about what you know and do not know. Your goal is to understand and learn from your mistakes.
Corrections: For most quizzes and tests that are 35 points or more, (except for cumulative exams on which there are NO corrections), students will have the opportunity to make corrections and earn back one-half of their missed points. All students are expected to do corrections following outlined guidelines. All students are expected to earn back the maximum number of points by attending office hours for help if needed. Corrections are due within one week of tests being returned to students.
Corrections are equivalent to EXTRA CREDIT.... the ONLY extra credit opportunity students will have.
If you score 70 out of 100, you could earn 15 points with “correct” corrections, bringing your grade to 85%.
If you score 50 out of 100, you could earn 25 points with “correct” corrections, bringing your grade to 75%.
ALWAYS do corrections and do them correctly!
There is no excuse for earning less than the maximum number of correction points.
STARTER:
1) Given the point P (-9, 3), state the coordinate of the image of P after the following transformations occur.
A) (x, y)-->(x-4, y+7) B) reflect in the x-axis C) reflect in the y-axis
D) rotate 90 CW about origin E) rotate 90 CCW about origin F) rotate 180 about origin
G) reflect in line y=x.
6.4 A Leap Year: PAGE 20-21 Definitions of translation, rotation and reflection and rigid transformation.
Include in your definitions these words and phrases: perpendicular bisector, center of rotation, equidistant, angle of rotation, concentric circles, parallel, image, pre-image, preserves distance, preserves angle measure.
1) Given the point P (-9, 3), state the coordinate of the image of P after the following transformations occur.
A) (x, y)-->(x-4, y+7) B) reflect in the x-axis C) reflect in the y-axis
D) rotate 90 CW about origin E) rotate 90 CCW about origin F) rotate 180 about origin
G) reflect in line y=x.
6.4 A Leap Year: PAGE 20-21 Definitions of translation, rotation and reflection and rigid transformation.
Include in your definitions these words and phrases: perpendicular bisector, center of rotation, equidistant, angle of rotation, concentric circles, parallel, image, pre-image, preserves distance, preserves angle measure.
SEPTEMBER 6, 2013 ~ Friday
1) Double Reflection in Intersecting Lines... is equivalent to what single transformation?
A rotation! Where is the center of rotation? What is the angle of rotation? How does it compare to the acute angle between the intersecting lines?
Complete the conjecture with all of the details of the conclusions you made from our explorations today.
A double reflection in intersecting lines is ...
Put replacement page 23 into your module section in front of page 23.
2) HOMEWORK: Pages 24-26 #7-15 TIME in class today to work on HW ... Use time wisely to minimize your HW over the weekend.
3) Hand in your HW from Sept 3 on Transformations. Staple the worksheet to the front of your graph paper after you align the hole punches. Make sure your name is on the worksheet.
4) Hand in any HW from 6.1, 6.2 or 6.3 for which you have made refinements and would like to improve your grade.
5) I will return quizzes on Monday at which point you will be able to complete corrections. Grades are in power school. Read my course syllabus to find out how corrections will improve your grade.
1) Double Reflection in Intersecting Lines... is equivalent to what single transformation?
A rotation! Where is the center of rotation? What is the angle of rotation? How does it compare to the acute angle between the intersecting lines?
Complete the conjecture with all of the details of the conclusions you made from our explorations today.
A double reflection in intersecting lines is ...
Put replacement page 23 into your module section in front of page 23.
2) HOMEWORK: Pages 24-26 #7-15 TIME in class today to work on HW ... Use time wisely to minimize your HW over the weekend.
3) Hand in your HW from Sept 3 on Transformations. Staple the worksheet to the front of your graph paper after you align the hole punches. Make sure your name is on the worksheet.
4) Hand in any HW from 6.1, 6.2 or 6.3 for which you have made refinements and would like to improve your grade.
5) I will return quizzes on Monday at which point you will be able to complete corrections. Grades are in power school. Read my course syllabus to find out how corrections will improve your grade.
SEPTEMBER 5, 2013 ~ Thursday
STARTER:
1) A) State the slope and y-intercept of this line k given by the equation: 3x +2y = 6. Graph this line on a coordinate axes.
B) Line k is the line of reflection for pre-image points P, Q and R located at P(-7, -3), Q(7, 2) and R(0, -7). PLot these points then find the image points P', Q' and R' and state their coordinates.
C) Use a straight edge to connect points P, Q and R to make triangle PQR.
D) Use a straight edge to connect points P', Q' and R' to make triangle P'Q'R'.
E) What is the relationship of line k to triangle PQR and triangle P'Q'R'?
F) Find the length (distance) of each segment and determine if the triangles are right triangles.
TODAY
1) Leap Frogs... Where is the center of rotation? How do we find it? Today you will learn how!
2) 6.4 A Leap Year: PAGES 22-23. I have created a replacement page 23 because the house graphic was not as easy to work with. On the back of page 23 is a Quadrilateral Activity WORD or PDF
Today you will draw a double reflection in intersecting lines. The goal will be to identify a single transformation that is equivalent to a double reflection in intersecting lines.
3) Hand in Transformation HW from Sept 3. Align question paper on the top of your graph paper and staple. Make sure your name is on the question paper.
4) HOMEWORK: Complete the double reflection on replacement page 23. Also complete the back side of page 23 on which you are to draw quadrilaterals that meet the stated criteria.
Due tomorrow: Any HW that you have revised to show me what you truly know and improve your score.
STARTER:
1) A) State the slope and y-intercept of this line k given by the equation: 3x +2y = 6. Graph this line on a coordinate axes.
B) Line k is the line of reflection for pre-image points P, Q and R located at P(-7, -3), Q(7, 2) and R(0, -7). PLot these points then find the image points P', Q' and R' and state their coordinates.
C) Use a straight edge to connect points P, Q and R to make triangle PQR.
D) Use a straight edge to connect points P', Q' and R' to make triangle P'Q'R'.
E) What is the relationship of line k to triangle PQR and triangle P'Q'R'?
F) Find the length (distance) of each segment and determine if the triangles are right triangles.
TODAY
1) Leap Frogs... Where is the center of rotation? How do we find it? Today you will learn how!
2) 6.4 A Leap Year: PAGES 22-23. I have created a replacement page 23 because the house graphic was not as easy to work with. On the back of page 23 is a Quadrilateral Activity WORD or PDF
Today you will draw a double reflection in intersecting lines. The goal will be to identify a single transformation that is equivalent to a double reflection in intersecting lines.
3) Hand in Transformation HW from Sept 3. Align question paper on the top of your graph paper and staple. Make sure your name is on the question paper.
4) HOMEWORK: Complete the double reflection on replacement page 23. Also complete the back side of page 23 on which you are to draw quadrilaterals that meet the stated criteria.
Due tomorrow: Any HW that you have revised to show me what you truly know and improve your score.
SEPTEMBER 4, 2013 ~ Wednesday
STARTER:
Part 1) Solve each linear equation Ax + By = C for y to change the equation to the form y = mx + b
1) 8x + 3y = 1 2) 3x - 5y = 6 3) -4x + 7y = 8 4) -9x - 2y = 10
State the slope for each equation. Look for the pattern between the original equation and the slope.
Part 2) Generalize the pattern and complete the following statement.
The equation Ax + By = C can be written as y= ___ x + ____ & has slope _?_ and y-intercept_?_
Today Classwork:
1) We will review Transformations HW and clarify what details you must include when describing each.
A) Translations B) Reflections C) Rotations
You will hand in this assignment on Thursday. Be sure it is complete with appropriate detail.
2) A second look at 6.3 Leaping Frogs Combinations of Transformations pp 15-16
FINISH and REFINE with appropriate detail for each transformation.
Homework: Complete the Leaping Frogs
Refine any work that was incomplete or incorrect from 6.3 pp 17-19
Your updates and refinements for 6.1, 6.2 and 6.3 are due on Friday.
*** I only want work resubmitted IF your score was 0 1 2 or 3 out of 5 on any of these sections***
STARTER:
Part 1) Solve each linear equation Ax + By = C for y to change the equation to the form y = mx + b
1) 8x + 3y = 1 2) 3x - 5y = 6 3) -4x + 7y = 8 4) -9x - 2y = 10
State the slope for each equation. Look for the pattern between the original equation and the slope.
Part 2) Generalize the pattern and complete the following statement.
The equation Ax + By = C can be written as y= ___ x + ____ & has slope _?_ and y-intercept_?_
Today Classwork:
1) We will review Transformations HW and clarify what details you must include when describing each.
A) Translations B) Reflections C) Rotations
You will hand in this assignment on Thursday. Be sure it is complete with appropriate detail.
2) A second look at 6.3 Leaping Frogs Combinations of Transformations pp 15-16
FINISH and REFINE with appropriate detail for each transformation.
Homework: Complete the Leaping Frogs
Refine any work that was incomplete or incorrect from 6.3 pp 17-19
Your updates and refinements for 6.1, 6.2 and 6.3 are due on Friday.
*** I only want work resubmitted IF your score was 0 1 2 or 3 out of 5 on any of these sections***
SEPTEMBER 3, 2013 ~ Tuesday
STARTER: Solve these equations for y:
1) 5x-3y=7 2) 4(x+2)-6y=20 3) -3(x-8)+2(y+5)=50
1) Today Classwork: WORD or PDF version
A) We will do some work to be sure we can solve equations that involve the operations: addition, subtraction, multiplication, division, and exponential powers of 2.
Today Homework: Transformations WORD or PDF version.
B) We will look at the HW for tonight and organize, on your own graph paper, three sets of coordinate axes you will need to complete this work. It should be organized as this example graph paper: WORD or PDF
2) Quizzes: I will return quizzes after absentees take the quiz hopefully today... so you may have your graded quizzes by Wednesday.
3) Homework packets: I have graded your work and written comments on many pages for these three sections:
6.1: transformations including rotation, reflection and translation (5 points possible)
6.2: distance, parallel and perpendicular lines and their linear equations (5 points possible)
6.3: rotation and lines of reflection, equations of line (5 points possible)
Many students did not hear me in class or read the board in class or read my DP online for the instruction to finish section 6.3 for HW on Thursday night. I will require you to finish it and resubmit your work this week by Thursday.
Below is a key to some of the cryptic acronyms I may have written on your papers.
STARTER: Solve these equations for y:
1) 5x-3y=7 2) 4(x+2)-6y=20 3) -3(x-8)+2(y+5)=50
1) Today Classwork: WORD or PDF version
A) We will do some work to be sure we can solve equations that involve the operations: addition, subtraction, multiplication, division, and exponential powers of 2.
Today Homework: Transformations WORD or PDF version.
B) We will look at the HW for tonight and organize, on your own graph paper, three sets of coordinate axes you will need to complete this work. It should be organized as this example graph paper: WORD or PDF
2) Quizzes: I will return quizzes after absentees take the quiz hopefully today... so you may have your graded quizzes by Wednesday.
3) Homework packets: I have graded your work and written comments on many pages for these three sections:
6.1: transformations including rotation, reflection and translation (5 points possible)
6.2: distance, parallel and perpendicular lines and their linear equations (5 points possible)
6.3: rotation and lines of reflection, equations of line (5 points possible)
Many students did not hear me in class or read the board in class or read my DP online for the instruction to finish section 6.3 for HW on Thursday night. I will require you to finish it and resubmit your work this week by Thursday.
Below is a key to some of the cryptic acronyms I may have written on your papers.
AUGUST 30, 2013
Organize your textbook/HW pages in order Title page through page 19.
Write you name and period legibly in the upper right corner on the Title page.
Align pages. Staple in the upper left-hand corner. Hand in today.
QUIZ today on linear equations, graphing, parallel and perpendicular lines, 3 types of transformations: rotation, reflection and translation, right triangles and the Pythagorean Theorem
GEOGEBRA: GO to www.geogebra.org and download either the WINDOWS or MAC OS X version of Geogebra. DO NOT download the app version! Open a new GGB file. Explore the Geogebra button commands at the top of the screen and the other commands found in those button dropdown menus. Create a sketch that looks like the one below...
Organize your textbook/HW pages in order Title page through page 19.
Write you name and period legibly in the upper right corner on the Title page.
Align pages. Staple in the upper left-hand corner. Hand in today.
QUIZ today on linear equations, graphing, parallel and perpendicular lines, 3 types of transformations: rotation, reflection and translation, right triangles and the Pythagorean Theorem
GEOGEBRA: GO to www.geogebra.org and download either the WINDOWS or MAC OS X version of Geogebra. DO NOT download the app version! Open a new GGB file. Explore the Geogebra button commands at the top of the screen and the other commands found in those button dropdown menus. Create a sketch that looks like the one below...
Geometry First Semester
August 22, 2013 Thursday
1) Report out on Habits
2) Review Syllabus and Supply List
3) Algebra Review: What do I know and remember from Algebra? Time to dust off those cobwebs.
4) Homework: Equations of Lines Placemat Review
August 21, 2013 Wednesday Habits of MIND
Excerpts from Describing 16 Habits of Mind
by Arthur L Costa, Ed. D. and Bena Kallick, Ph.D.
Habit of Mind means having a disposition toward behaving intelligently when confronted with problems, the answers to which are not immediately known.
What behaviors are indicative of the efficient, effective problem solver? Research indicates that there are some identifiable characteristics of effective thinkers.
1) Persisting
2) Managing Impulsivity
3) Listening to Others – with Understanding and Empathy
4) Thinking Flexibly
5) Thinking about our Thinking (Metacognition)
6) Striving for Accuracy and Precision
7) Questioning and Posing Problems
8) Applying Past Knowledge to New Situations
9) Thinking and Communicating with Clarity and Precision
10) Gathering Data through all Senses
11) Creating, Imagining and Innovating
12) Responding with Wonderment and Awe
13) Taking Responsible Risks
14) Finding Humor
15) Thinking Interdependently
16) Learning Continuously
Homework: Thinking outside the "fold."
Challenge: Fold the 2x4 grid of numbers so that the values from 1 to 8 are in order.
August 22, 2013 Thursday
1) Report out on Habits
2) Review Syllabus and Supply List
3) Algebra Review: What do I know and remember from Algebra? Time to dust off those cobwebs.
4) Homework: Equations of Lines Placemat Review
August 21, 2013 Wednesday Habits of MIND
Excerpts from Describing 16 Habits of Mind
by Arthur L Costa, Ed. D. and Bena Kallick, Ph.D.
Habit of Mind means having a disposition toward behaving intelligently when confronted with problems, the answers to which are not immediately known.
What behaviors are indicative of the efficient, effective problem solver? Research indicates that there are some identifiable characteristics of effective thinkers.
1) Persisting
2) Managing Impulsivity
3) Listening to Others – with Understanding and Empathy
4) Thinking Flexibly
5) Thinking about our Thinking (Metacognition)
6) Striving for Accuracy and Precision
7) Questioning and Posing Problems
8) Applying Past Knowledge to New Situations
9) Thinking and Communicating with Clarity and Precision
10) Gathering Data through all Senses
11) Creating, Imagining and Innovating
12) Responding with Wonderment and Awe
13) Taking Responsible Risks
14) Finding Humor
15) Thinking Interdependently
16) Learning Continuously
Homework: Thinking outside the "fold."
Challenge: Fold the 2x4 grid of numbers so that the values from 1 to 8 are in order.