Last Day for Office Hours is Tuesday May 20th.
Cathy's Office Hours: Tuesday 3:30-4:30 Wednesday lunch. Join me.
Cathy's Office Hours: Tuesday 3:30-4:30 Wednesday lunch. Join me.
Friday ~ May 29, 2014 ***********************************
TPOL Make-Ups
Last Day for Teachers
Thursday ~ May 28, 2014 *** TPOLs ************************
PASS=enjoy your summer vacation
REDO= make refinements and we'll see you again on Friday
Wednesday ~ May 27, 2014 *** TPOLs ***********************
PASS=enjoy your summer vacation
REDO= make refinements and we'll see you again on Friday
Tuesday ~ May 26, 2014 **********************************
One last construction of 3-D Objects called "Slide Togethers" by George Hart (...but not a slice form)
Monday ~ May 25, 2014 ****** Memorial Day ~ No School *******
TPOL Make-Ups
Last Day for Teachers
Thursday ~ May 28, 2014 *** TPOLs ************************
PASS=enjoy your summer vacation
REDO= make refinements and we'll see you again on Friday
Wednesday ~ May 27, 2014 *** TPOLs ***********************
PASS=enjoy your summer vacation
REDO= make refinements and we'll see you again on Friday
Tuesday ~ May 26, 2014 **********************************
One last construction of 3-D Objects called "Slide Togethers" by George Hart (...but not a slice form)
Monday ~ May 25, 2014 ****** Memorial Day ~ No School *******
Friday ~ May 23, 2014 *************************************
Advisory Olympics
Graduation @ FLC Concert Hall 3pm
Thursday ~ May 22, 2014 ***********************************
Make-up Exams for absentees
Exam Results
Composition Books returned
Final Grades
Wednesday ~ May 21, 2014 ********************************
Final Exam part 2 collaborative ... Using Geogebra to make conclusions from geometric explorations.
Composition Books are DUE today... don't dare forget it !!!
Celebration Tribute to Michael is here tonight at AHS from 5:30 - 6:30pm.
Tuesday ~ May 20, 2014 ************************************
Final Exam Part 1 You may use the notecard you prepared in class on Monday.
If you did not complete a notecard on Monday due to absence see me ASAP.
If you did not give me the notecard on Monday before the end of class THEN
A) you may not use a notecard OR
B) you may use the notecard but lose 4 points for not following directions.
Monday ~ May 19, 2014 ************************************
Prepare ONE notecard for final exam. You may use front and back. You must hand it in at the end of Mondays class
Finish review #5 question #5
Please add Slice form and 3-D object to your DP if you have not already done so.
Individual Final Exam Tuesday has 27 Multiple Choice questions each worth 2 points for a total of 54 points This portion of the exam will be graded out of 50 points ... SO that means you may earn 4 points extra credit.
Advisory Olympics
Graduation @ FLC Concert Hall 3pm
Thursday ~ May 22, 2014 ***********************************
Make-up Exams for absentees
Exam Results
Composition Books returned
Final Grades
Wednesday ~ May 21, 2014 ********************************
Final Exam part 2 collaborative ... Using Geogebra to make conclusions from geometric explorations.
Composition Books are DUE today... don't dare forget it !!!
Celebration Tribute to Michael is here tonight at AHS from 5:30 - 6:30pm.
Tuesday ~ May 20, 2014 ************************************
Final Exam Part 1 You may use the notecard you prepared in class on Monday.
If you did not complete a notecard on Monday due to absence see me ASAP.
If you did not give me the notecard on Monday before the end of class THEN
A) you may not use a notecard OR
B) you may use the notecard but lose 4 points for not following directions.
Monday ~ May 19, 2014 ************************************
Prepare ONE notecard for final exam. You may use front and back. You must hand it in at the end of Mondays class
Finish review #5 question #5
Please add Slice form and 3-D object to your DP if you have not already done so.
Individual Final Exam Tuesday has 27 Multiple Choice questions each worth 2 points for a total of 54 points This portion of the exam will be graded out of 50 points ... SO that means you may earn 4 points extra credit.
Friday ~ May 16, 2014 *******************************
Senior TED Talks in the Commons See schedule above.
Thursday ~ May 15, 2014 *****************************
Content wrap-up and final exam review #4 - #5 ..... see Monday for PDF link
Wednesday ~ May 14, 2014 ***************************
content wrap-up and final exam review #3 - #4 HW Exam Review #3 question #4, #5,#6
..... see Monday for PDF link
Tuesday ~ May 13, 2014 ******************************
Content wrap-up and final exam review #2 - #3 ...... See Monday for PDF link
HOMEWORK: complete Review2 # 1-4, 6,7, Review3 #1-2
See picture of UNIT Circle below
Remember that IF you want Cathy to check your DP follow these directions:
Send her an e-mail with the SUBJECT "Check my DP" and in the BODY paste a link to your DP
Monday ~ May 12, 2014 ******************************
Content wrap-up and final exam review #1
HOMEOWORK: complete all questions #1-4 (or 5-6 miss-numbered)
All Review Questions: PDF
Senior TED Talks in the Commons See schedule above.
Thursday ~ May 15, 2014 *****************************
Content wrap-up and final exam review #4 - #5 ..... see Monday for PDF link
Wednesday ~ May 14, 2014 ***************************
content wrap-up and final exam review #3 - #4 HW Exam Review #3 question #4, #5,#6
..... see Monday for PDF link
Tuesday ~ May 13, 2014 ******************************
Content wrap-up and final exam review #2 - #3 ...... See Monday for PDF link
HOMEWORK: complete Review2 # 1-4, 6,7, Review3 #1-2
See picture of UNIT Circle below
Remember that IF you want Cathy to check your DP follow these directions:
Send her an e-mail with the SUBJECT "Check my DP" and in the BODY paste a link to your DP
Monday ~ May 12, 2014 ******************************
Content wrap-up and final exam review #1
HOMEOWORK: complete all questions #1-4 (or 5-6 miss-numbered)
All Review Questions: PDF
Student: "What can I do to improve my grade before the end of the year?"
Cathy: "Do the following...
FIRST check your power school and read the comment if I have written one for these assignments:
04/01 DP Update Trig 20/20
04/22 Anamorphic Write Up 10/10
04/30 3-D Object Ortho, Iso, Net, DP & Slice Form 25/25
The comment will include the number of points you can earn when you complete what is missing.
Student: "How do I know what is missing."
Cathy: "SECOND Refer to the rubric that you get back on Monday. It will be stapled to your anamorphic write up if you turned that assignment in. Any point value that is circled indicates points you missed and most often you can only earn half of the missed points. In a few cases you may be eligible to earn all of the points."
Student: "So what do I do to earn the points?"
Cathy: "THIRD Do what I asked you to do for the assignment!... If you do not know what is required then refer to these dates on my DP where the information is provided.
DP Update Trig refer to Friday, February 28
Anamorphic Write & DP Update refer to Monday, April 14
3-D Object Ortho, Iso, Net, DP & Slice Form refer to Thursday, May 1
Student: "What is my deadline?"
Cathy: "FOURTH Meet the deadline which is 3:15 pm Wednesday May 15th. You must send Cathy an e-mail with the following subject "check my DP updates" include your DP web address in the body of the e-mail.
If you need to turn in the Anamorphic Write Up then print it and give that paper to Cathy by 3:15 pm Wednesday."
Student: "Do we have any more grades before the end of the year?"
Cathy: Yes! we have two more weeks of classes before TPoLs...so we'll be working. There will be more composition book grades for the final exam reviews. There will be at least one more but possibly two DP updates. There will be a final exam that will be in three parts:
Part 1: algebraic skills assessment (individual)
Part II: geometry skills and applications (individual)
Part III: drawing conclusions from Geogebra investigations (partner)
Cathy: "Do the following...
FIRST check your power school and read the comment if I have written one for these assignments:
04/01 DP Update Trig 20/20
04/22 Anamorphic Write Up 10/10
04/30 3-D Object Ortho, Iso, Net, DP & Slice Form 25/25
The comment will include the number of points you can earn when you complete what is missing.
Student: "How do I know what is missing."
Cathy: "SECOND Refer to the rubric that you get back on Monday. It will be stapled to your anamorphic write up if you turned that assignment in. Any point value that is circled indicates points you missed and most often you can only earn half of the missed points. In a few cases you may be eligible to earn all of the points."
Student: "So what do I do to earn the points?"
Cathy: "THIRD Do what I asked you to do for the assignment!... If you do not know what is required then refer to these dates on my DP where the information is provided.
DP Update Trig refer to Friday, February 28
Anamorphic Write & DP Update refer to Monday, April 14
3-D Object Ortho, Iso, Net, DP & Slice Form refer to Thursday, May 1
Student: "What is my deadline?"
Cathy: "FOURTH Meet the deadline which is 3:15 pm Wednesday May 15th. You must send Cathy an e-mail with the following subject "check my DP updates" include your DP web address in the body of the e-mail.
If you need to turn in the Anamorphic Write Up then print it and give that paper to Cathy by 3:15 pm Wednesday."
Student: "Do we have any more grades before the end of the year?"
Cathy: Yes! we have two more weeks of classes before TPoLs...so we'll be working. There will be more composition book grades for the final exam reviews. There will be at least one more but possibly two DP updates. There will be a final exam that will be in three parts:
Part 1: algebraic skills assessment (individual)
Part II: geometry skills and applications (individual)
Part III: drawing conclusions from Geogebra investigations (partner)
Sunday ~ May 4, 2014 *************************************
I am checking your DP Updates and many students have posted great photos of their 3-D Project products.
Please post two more photos on your DP (if you have not already done so)
1) the completed SLICE FORM.
2) the CONSTRUCTED 3-D OBJECT from the NET.
... thank you to those who already have posted these photos to complete the DP update.
Students who have not completed the updates as directed before Osprey Week will not be happy with their grades. Learn to follow directions and meet deadlines. See me if you would like to advocate for a second attempt.
I am checking your DP Updates and many students have posted great photos of their 3-D Project products.
Please post two more photos on your DP (if you have not already done so)
1) the completed SLICE FORM.
2) the CONSTRUCTED 3-D OBJECT from the NET.
... thank you to those who already have posted these photos to complete the DP update.
Students who have not completed the updates as directed before Osprey Week will not be happy with their grades. Learn to follow directions and meet deadlines. See me if you would like to advocate for a second attempt.
OSPREY WEEK May 5 - 9, 2014******************************
Enjoy the experience and be thankful for the opportunity that Animas High School faculty provide for you to have this experience. Yippee!
Enjoy the experience and be thankful for the opportunity that Animas High School faculty provide for you to have this experience. Yippee!
Friday ~ May 2, 2014 ********************************
Sierpinski Fractal Cut Appreciation Cards...
On the front of the card, compose a sincere appreciation for your parental units or an Animas faculty member except Cathy.
Create the fractal cut and glue to the inside of the card.
Deliver to the recipient today.
Thursday ~ May 1, 2014 ****** EXHIBITION TONITE *******
1) Cathy needs to take a photo of your Slice form and constructed 3-D net today before the end of class.
Photos missing from these students:
period 1: Coleman Bader, Shane Ellis, Noah Hotchkiss,
period 3: Camryn Mata,
period 5: Eliie Duke, Alexa Dobbs (ok on DP), Vivi Heinrich, Easton Verduzco, Mikayla Wright(ok on DP)
period 6: Duncan Gray, Lane Salazar, Jonathan Smith
2) DP address confirmation. If you never turned in an Anamorphic Write up with your DP address then please confirm address with me today.
3) 3-D Objects Project & DP Updates: You need to have the following four pictures on your DP
1) ORTHOGRAPHIC: top, front and side views.
Color coded and labeled
2) GEOMETRIC NET: color coded, on the 30x40 cm grid paper
3) ISOMETRIC VIEW: color coded
4) ISOMETRIC VIEW: with labeled color-coded cross-sections.
If I did not see your completed net made into the 3-D object or your slice form, or if I did not get a picture with my Ipad, or you did not put pictures on your DP, then I have no proof you finished the project so you need to show me your completed works.
Wednesday ~ April 30, 2014 *************************
WORK DAY.... complete slice form by the end of class today. Remember "notches" not slices!
Must have Geometric Net and Slice form by end of class tomorrow... exhibition day.
Complete you DP Updates for this project.
Sierpinski Fractal Cut Appreciation Cards...
On the front of the card, compose a sincere appreciation for your parental units or an Animas faculty member except Cathy.
Create the fractal cut and glue to the inside of the card.
Deliver to the recipient today.
Thursday ~ May 1, 2014 ****** EXHIBITION TONITE *******
1) Cathy needs to take a photo of your Slice form and constructed 3-D net today before the end of class.
Photos missing from these students:
period 1: Coleman Bader, Shane Ellis, Noah Hotchkiss,
period 3: Camryn Mata,
period 5: Eliie Duke, Alexa Dobbs (ok on DP), Vivi Heinrich, Easton Verduzco, Mikayla Wright(ok on DP)
period 6: Duncan Gray, Lane Salazar, Jonathan Smith
2) DP address confirmation. If you never turned in an Anamorphic Write up with your DP address then please confirm address with me today.
3) 3-D Objects Project & DP Updates: You need to have the following four pictures on your DP
1) ORTHOGRAPHIC: top, front and side views.
Color coded and labeled
2) GEOMETRIC NET: color coded, on the 30x40 cm grid paper
3) ISOMETRIC VIEW: color coded
4) ISOMETRIC VIEW: with labeled color-coded cross-sections.
If I did not see your completed net made into the 3-D object or your slice form, or if I did not get a picture with my Ipad, or you did not put pictures on your DP, then I have no proof you finished the project so you need to show me your completed works.
Wednesday ~ April 30, 2014 *************************
WORK DAY.... complete slice form by the end of class today. Remember "notches" not slices!
Must have Geometric Net and Slice form by end of class tomorrow... exhibition day.
Complete you DP Updates for this project.
Tuesday ~ April 29, 2014 *********************************
0) If you have not yet had Cathy copy your cross-sections onto card stock then hop to it!!!!!!
1) Color code your cross-sections and be sure they are labeled X1, X2, .... or Y1, Y2, ...
2) Cut and notch each cross-section. Assemble the cross-sections to create the slice form representing your 3D object made of cubes.
3) Take pictures of your slice form and upload them to your DP... Take pictures from different angles to show your slice form. Include a picture of the collapsed slice form.
4) Complete you Geometric Net of your 3-D object. Be sure to color code the back side of the net because when you fold it up the back side will be on the outside. Take a picture of your net BEFORE you fold it up and tape it to make a hollow version of your 3-D object made of cubes. Upload the Geometric Net picture to your DP.
"GEOMETRY IN PERSPECTIVE" EXHIBITION:
This Exhibition is all about how you have learned to visualize 3-D objects from various perspectives including anamorphic, isometric, orthographic, cross-sections, 1-point perspective and 2-point perspective. Working through these projects, one goal for you was to enhance your skills at 3-D and spatial visualization. Seeing in 3-D is something you do everyday, however, many of you have been challenged in some capacity by different parts of this project and different perspectives from which you can visualize objects. Think about these ideas and how you will convey them to the public through your exhibition.
WORK on DISPLAY:
1) Anamorphic Drawing and Picture Frame set up.
2) 3-D Object Slice Form made of cross-sections
3) Hollow 3-D Object made from the Geometric Net
4) Visuals on your DP: isometric, orthographic, geometric net, cross-sections. These visuals will be displayed on your computer SO be sure you have a charger cord so that your computer has power through out the evening.
OPTIONAL DISPLAY of your GEOGEBRA LABS for 1-point & 2-point Perspectives.
I am making this optional because some of your labs are in need of refinement before they go on display. If your labs are refined and many of you qualify for this distinction, then by all means, show off your labs!!! Have both of the GGB files open on your computer for the 1-point and 2-point perspectives.
0) If you have not yet had Cathy copy your cross-sections onto card stock then hop to it!!!!!!
1) Color code your cross-sections and be sure they are labeled X1, X2, .... or Y1, Y2, ...
2) Cut and notch each cross-section. Assemble the cross-sections to create the slice form representing your 3D object made of cubes.
3) Take pictures of your slice form and upload them to your DP... Take pictures from different angles to show your slice form. Include a picture of the collapsed slice form.
4) Complete you Geometric Net of your 3-D object. Be sure to color code the back side of the net because when you fold it up the back side will be on the outside. Take a picture of your net BEFORE you fold it up and tape it to make a hollow version of your 3-D object made of cubes. Upload the Geometric Net picture to your DP.
"GEOMETRY IN PERSPECTIVE" EXHIBITION:
This Exhibition is all about how you have learned to visualize 3-D objects from various perspectives including anamorphic, isometric, orthographic, cross-sections, 1-point perspective and 2-point perspective. Working through these projects, one goal for you was to enhance your skills at 3-D and spatial visualization. Seeing in 3-D is something you do everyday, however, many of you have been challenged in some capacity by different parts of this project and different perspectives from which you can visualize objects. Think about these ideas and how you will convey them to the public through your exhibition.
WORK on DISPLAY:
1) Anamorphic Drawing and Picture Frame set up.
2) 3-D Object Slice Form made of cross-sections
3) Hollow 3-D Object made from the Geometric Net
4) Visuals on your DP: isometric, orthographic, geometric net, cross-sections. These visuals will be displayed on your computer SO be sure you have a charger cord so that your computer has power through out the evening.
OPTIONAL DISPLAY of your GEOGEBRA LABS for 1-point & 2-point Perspectives.
I am making this optional because some of your labs are in need of refinement before they go on display. If your labs are refined and many of you qualify for this distinction, then by all means, show off your labs!!! Have both of the GGB files open on your computer for the 1-point and 2-point perspectives.
Monday ~ April 28, 2014 *********************************
1) Design Slice Form CROSS-SECTIONS: Be sure to use graph paper provided and that each "square size is a 3x3 unit" so that it matches the NET you created last week. Today's Slice Form GOALS:
2) Final NETS are due TUESDAY. Color code both the inside and the outside of the net before taping it closed.
3) Did you complete the Light Bulb Slice Form on Friday??? If you were absent, please show Cathy your slice form
THURSDAY evening is 9th - 10th Grade Exhibition 5-7 pm
HERE ARE SOME STUDENT EXPECTATIONS:
It is mandatory for all students to participate in Exhibition.
Please wear professional dress. If you are unsure what professional implies then please ask.
Young men should be dressed in a collared shirt with a tie, khakis or dress pants with belt that coordinates with shoes, and dress socks.
Young women should be dressed in dresses or skirts and blouses, tops or sweaters that look professional. Shoes should be comfortable to walk in and stand in for two hours. High heels are not recommended.
No student will chew gum during an exhibition because this IS NOT professional and makes you look like a cow chewing its cud. Ugly! Show the community your beautiful side. DO NOT chew gum at exhibition.
Students are expected to be at their assigned locations promptly and for the entire time they are scheduled there.
Look community members in the eye and INVITE them to see your work. Clearly articulate what you did, what you learned, what you enjoyed about your projects. Show them how excited you are to have created your beautiful work.
Do not engage in extended conversations with other students exhibiting in the room since this sends the message to community members that you do not want to talk to them.
1) Design Slice Form CROSS-SECTIONS: Be sure to use graph paper provided and that each "square size is a 3x3 unit" so that it matches the NET you created last week. Today's Slice Form GOALS:
- A) Make sure the cross-section perimeters are drawn on graph paper. Outline the perimeter in thin marker so you can clearly see it.
- B) Mark with thin marker the length of the "notches" or "slots" that you will cut.
- C) Give to Cathy the copies of your cross-sections so that she can photocopy them onto cardstock today.
2) Final NETS are due TUESDAY. Color code both the inside and the outside of the net before taping it closed.
3) Did you complete the Light Bulb Slice Form on Friday??? If you were absent, please show Cathy your slice form
THURSDAY evening is 9th - 10th Grade Exhibition 5-7 pm
HERE ARE SOME STUDENT EXPECTATIONS:
It is mandatory for all students to participate in Exhibition.
Please wear professional dress. If you are unsure what professional implies then please ask.
Young men should be dressed in a collared shirt with a tie, khakis or dress pants with belt that coordinates with shoes, and dress socks.
Young women should be dressed in dresses or skirts and blouses, tops or sweaters that look professional. Shoes should be comfortable to walk in and stand in for two hours. High heels are not recommended.
No student will chew gum during an exhibition because this IS NOT professional and makes you look like a cow chewing its cud. Ugly! Show the community your beautiful side. DO NOT chew gum at exhibition.
Students are expected to be at their assigned locations promptly and for the entire time they are scheduled there.
Look community members in the eye and INVITE them to see your work. Clearly articulate what you did, what you learned, what you enjoyed about your projects. Show them how excited you are to have created your beautiful work.
Do not engage in extended conversations with other students exhibiting in the room since this sends the message to community members that you do not want to talk to them.
Friday ~ April 25, 2014 **********************************
Substitute: AMY HEWITT
Making a SLICE FORM... use the picture below as a guide.
CLEAN UP ALL WASTE CARD STOCK AND PICK UP THE SCRAPS OFF THE FLOOR BEFORE THE END OF CLASS. RETURN ALL SCISSORS TO THE WHITE BUCKETS AT THE FRONT TABLE.
0) Did you bring your own scissors or are you going to have to use safety scissors? (Hmmm ... do my students follow directions?) Bring scissors to class on Monday too!!!
Students need one white and one colored sheet of card stock with printed templates and scissors.
CUTTING
1) Cut the perimeter of each of the circles on the white cards stock.
2) Cut the perimeter of each of the shapes on the colored card stock.
3) Cut the slots and remove the narrow strip of card stock. "SLOTS" are made by cutting on the left and right side of the marked parallel segments and removing the card stock. Slots are NOT a single scissor slice!!!
ASSEMBLY... What object is created by these assembled slices? SEE PICTURE BELOW FOR INFO...
4) Slide the X slices and Y slices together. Begin with X3, X4 and X5 the largest X-cross-sections and slide the circular Y-cross-sections into the slots. As noted in the picture below, Y11 goes at the bottom and Y1 goes at the top. It will be easiest to slide in Y2, Y3, Y4, Y5 & Y6 first since these are the largest Y-cross-sections.
5) When all slices are in place, gently fold to flatten the slice form, then unfold to create the 3-D slice form. Then fold the slice form in the other direction to fold flat again and unfold. This will help loosen up the slice form.
SAVE YOUR SLICE FORM:
6) Show your completed SLICE FORM to Amy Hewitt to earn 2 "graded" bonus points today.
7) Fold your slice form and bring it to class on MONDAY. We will use it as a guide to make our 3-D object slice form.
CLEAN UP
7) Clean up scraps and trash from tables and floor. Return scissors to the buckets on the front table.
SEE PICTURE BELOW
Substitute: AMY HEWITT
Making a SLICE FORM... use the picture below as a guide.
CLEAN UP ALL WASTE CARD STOCK AND PICK UP THE SCRAPS OFF THE FLOOR BEFORE THE END OF CLASS. RETURN ALL SCISSORS TO THE WHITE BUCKETS AT THE FRONT TABLE.
0) Did you bring your own scissors or are you going to have to use safety scissors? (Hmmm ... do my students follow directions?) Bring scissors to class on Monday too!!!
Students need one white and one colored sheet of card stock with printed templates and scissors.
CUTTING
1) Cut the perimeter of each of the circles on the white cards stock.
2) Cut the perimeter of each of the shapes on the colored card stock.
3) Cut the slots and remove the narrow strip of card stock. "SLOTS" are made by cutting on the left and right side of the marked parallel segments and removing the card stock. Slots are NOT a single scissor slice!!!
ASSEMBLY... What object is created by these assembled slices? SEE PICTURE BELOW FOR INFO...
4) Slide the X slices and Y slices together. Begin with X3, X4 and X5 the largest X-cross-sections and slide the circular Y-cross-sections into the slots. As noted in the picture below, Y11 goes at the bottom and Y1 goes at the top. It will be easiest to slide in Y2, Y3, Y4, Y5 & Y6 first since these are the largest Y-cross-sections.
5) When all slices are in place, gently fold to flatten the slice form, then unfold to create the 3-D slice form. Then fold the slice form in the other direction to fold flat again and unfold. This will help loosen up the slice form.
SAVE YOUR SLICE FORM:
6) Show your completed SLICE FORM to Amy Hewitt to earn 2 "graded" bonus points today.
7) Fold your slice form and bring it to class on MONDAY. We will use it as a guide to make our 3-D object slice form.
CLEAN UP
7) Clean up scraps and trash from tables and floor. Return scissors to the buckets on the front table.
SEE PICTURE BELOW
Thursday ~ April 24, 2014 **********************************
HW: BRING a comfortable pair of scissors for Friday & Monday!!!!!!!!!
DP UPDATE OBJECTIVES ... for 3-D Project ... Post pictures or scanned images of
1) Orthographic top, front & side views.
2) Isometric view color coded for front and side views.
3) Isometric view with the parallel cross-sections color coded to match the front and side views.
5) Geometric Net color coded.
WORK TIME OBJECTIVES:
4) Final Correct Geometric Net... Make a draft net that you cut and fold to see if you have found the correct net. Once correct make a final copy on orthographic graph paper, color code the faces.
6) Make 3-D object out of the net. Cut, fold and tape the edges to make the 3-D object.
7) Draw each cross-section on orthographic paper. Be sure to label X1, X2, X3... and Y1, Y2, Y3... Conserve space by having cross-section regions share edges. On Monday we will determine the size of the notches to cut.
HW Have all of the above complete for Monday & Bring scissors to class on Friday and Monday
HW: BRING a comfortable pair of scissors for Friday & Monday!!!!!!!!!
DP UPDATE OBJECTIVES ... for 3-D Project ... Post pictures or scanned images of
1) Orthographic top, front & side views.
2) Isometric view color coded for front and side views.
3) Isometric view with the parallel cross-sections color coded to match the front and side views.
5) Geometric Net color coded.
WORK TIME OBJECTIVES:
4) Final Correct Geometric Net... Make a draft net that you cut and fold to see if you have found the correct net. Once correct make a final copy on orthographic graph paper, color code the faces.
6) Make 3-D object out of the net. Cut, fold and tape the edges to make the 3-D object.
7) Draw each cross-section on orthographic paper. Be sure to label X1, X2, X3... and Y1, Y2, Y3... Conserve space by having cross-section regions share edges. On Monday we will determine the size of the notches to cut.
HW Have all of the above complete for Monday & Bring scissors to class on Friday and Monday
Wednesday ~ April 23, 2014 ******************************
Today you will work on the 3-D project. Here are some things to accomplish:
1) In all designs be sure that ONE SQUARE UNIT is a 3x3 square on the orthographic graph paper. This is absolutely necessary for the construction of the slice form.
2) READ the document below outlining the FIVE PARTS of this project. FOLLOW ALL DIRECTIONS for REQUIREMENTS. Get any supplies you need. Remember if you are working with a partner BOTH of you will complete every part of the project individually producing each of the components. That means TWO of everything not just one.
3) Get your 3-D solid cube design approved today... Cathy may tell you to change your design if the cross-sections cannot be drawn as ONE area. Again there can be no areas connected by only a vertex.
4) As you are working, scan documents or take pictures so that you can post them on your DP for this project update. Use your time efficiently and effectively.
DUE DATES: Parts A-B-C-D are due on FRIDAY April 25. Cross-sections are to be drawn on a sheet of 40 cm x 30 cm graph paper and you need to have the perimeters of these cross-sections. I will work with you on the "notches" on Monday. I will copy those drawings onto cardstock on next week before you cut, notch and assemble. Update your DP with these components of your project by Friday.
Today you will work on the 3-D project. Here are some things to accomplish:
1) In all designs be sure that ONE SQUARE UNIT is a 3x3 square on the orthographic graph paper. This is absolutely necessary for the construction of the slice form.
2) READ the document below outlining the FIVE PARTS of this project. FOLLOW ALL DIRECTIONS for REQUIREMENTS. Get any supplies you need. Remember if you are working with a partner BOTH of you will complete every part of the project individually producing each of the components. That means TWO of everything not just one.
3) Get your 3-D solid cube design approved today... Cathy may tell you to change your design if the cross-sections cannot be drawn as ONE area. Again there can be no areas connected by only a vertex.
4) As you are working, scan documents or take pictures so that you can post them on your DP for this project update. Use your time efficiently and effectively.
DUE DATES: Parts A-B-C-D are due on FRIDAY April 25. Cross-sections are to be drawn on a sheet of 40 cm x 30 cm graph paper and you need to have the perimeters of these cross-sections. I will work with you on the "notches" on Monday. I will copy those drawings onto cardstock on next week before you cut, notch and assemble. Update your DP with these components of your project by Friday.
Tuesday ~ April 22, 2014 **************************
Period 1 & 3 & 5 Creating an Open-Top Box and Finding it Volume. PDF Glue the recording paper anchor tab into your composition book. Period 5 has a Bonanza Lesson with Caitlyn Kneller.
Period 6: See Friday April 18th agenda. You did the open-top box on Thursday last week. Please glue the recording paper anchor tab into your composition book.
You have something due today! Be sure to follow instructions as noted on Monday April 14.
Period 1 & 3 & 5 Creating an Open-Top Box and Finding it Volume. PDF Glue the recording paper anchor tab into your composition book. Period 5 has a Bonanza Lesson with Caitlyn Kneller.
Period 6: See Friday April 18th agenda. You did the open-top box on Thursday last week. Please glue the recording paper anchor tab into your composition book.
You have something due today! Be sure to follow instructions as noted on Monday April 14.
Friday ~ April 18, 2014 *******************************
a) Use 27 cubes to create the 3-D solid Cathy shows you then
b) draw orthographic views: top, front, side
c) draw the isometric view on isometric dot paper
d) see the geometric net that is the surface area for this 3-D solid. Notice that the net is one connected surface area for the 3-D solid. It fits on one sheet of graph paper.
e) see the slice form that represents evenly spaced cross-sections of the object.
Try your own:
a) create your 3-D solid with cubes using no more than the 27 cubes provided.
b) Draw orthographic views
c) Draw the isometric view
d) begin a draft of the geometric net of the surface area. It must fit on one sheet of graph paper and be one single area. (The net cannot have areas connected by only a vertex.)
e) Think about cross-sections of your 3-D object. You will eventually create a slice form... Your design may need to be changed to accommodate slice form requirements. Stay-tuned.
a) Use 27 cubes to create the 3-D solid Cathy shows you then
b) draw orthographic views: top, front, side
c) draw the isometric view on isometric dot paper
d) see the geometric net that is the surface area for this 3-D solid. Notice that the net is one connected surface area for the 3-D solid. It fits on one sheet of graph paper.
e) see the slice form that represents evenly spaced cross-sections of the object.
Try your own:
a) create your 3-D solid with cubes using no more than the 27 cubes provided.
b) Draw orthographic views
c) Draw the isometric view
d) begin a draft of the geometric net of the surface area. It must fit on one sheet of graph paper and be one single area. (The net cannot have areas connected by only a vertex.)
e) Think about cross-sections of your 3-D object. You will eventually create a slice form... Your design may need to be changed to accommodate slice form requirements. Stay-tuned.
Thursday ~ April 17, 2014 ********************************
HOMEWORK: DP Updates for Anamorphic Drawing Project due Tuesday. No class time to complete this.
TODAY you are going to learn about ORTHOGRAPHIC projections and how they determine the shape of a 3-D object built simply of cubes.
Use the document below and follow the instructions to access a website with interactive learning tools to help you learn about ORTHOGRAPHIC drawings. You will complete activities in FOUR different interactive learning tools.
1) Orthographic Projection #1
2) Brain Exercise Visualization #1
3) Brain Exercise Visualization #2
4) Brain Exercise Visualization #3
Finally you will go to a second website and create ISOMETRIC drawings using another interactive learning tool. Read and follow the instructions in the document below.
OBJECTIVE: When you are finished with these interactive learning tools you should understand how to portray a 3-D shape made of cubes ORTHOGRAPHICALLY & ISOMETRICALLY.
HOMEWORK: DP Updates for Anamorphic Drawing Project due Tuesday. No class time to complete this.
TODAY you are going to learn about ORTHOGRAPHIC projections and how they determine the shape of a 3-D object built simply of cubes.
Use the document below and follow the instructions to access a website with interactive learning tools to help you learn about ORTHOGRAPHIC drawings. You will complete activities in FOUR different interactive learning tools.
1) Orthographic Projection #1
2) Brain Exercise Visualization #1
3) Brain Exercise Visualization #2
4) Brain Exercise Visualization #3
Finally you will go to a second website and create ISOMETRIC drawings using another interactive learning tool. Read and follow the instructions in the document below.
OBJECTIVE: When you are finished with these interactive learning tools you should understand how to portray a 3-D shape made of cubes ORTHOGRAPHICALLY & ISOMETRICALLY.
Monday & Tuesday & Wednesday ~ April 14-15-16, 2014 ******************************************************
1) GEOGEBRA LAB CHECKS:
A) 1-Point Perspective Lab... must have finished floor, door and window
B) 2-Point Perspective Lab... must have 2nd building with roof that does not intersect the 1st building with roof.
2) Anamorphic Project Work Time: Work to complete your drawing... complete these final steps when you are ready: 1) outline the finished drawing using a black sharpie to make clean lines 2) erase stray smudges 3) shade the anamorphic image to improve its 3-D look.
Your final FINISHED project is due on Wednesday at the end of class.
Penalties for LATE work: 1-day late 70% MAX grade, less 5% for every additional calendar day that it is late.
3) Anamorphic 3-D Drawing Project
Anamorphic DP Update include the following:
A) REQUIRED: Title: My Anamorphic 3-D Drawing Project
B) REQUIRED: Picture of the original image
C) REQUIRED: Picture of the Anamorphic 3-D Drawing on your poster board
D) REQUIRED: Picture of the set-up image on the glass with finished product.
E) OPTIONAL: other pictures from another perspective such as the opposite side or from the left or right side.
F) "Write Up" TYPE and PRINT a hard copy due to Cathy Tuesday April 22
"Write Up" Anamorphic 10/10
0) Type Name, period, date and DP address at top of paper then respond to the following:
1) In your own words, define ANAMORPHIC. You will need to do some research on this. You may include references to photos that illustrate the property in order to support your definition. SITE sources appropriately.
2) Describe the supplies that you used to create your drawing.
3) Explain how your anamorphic drawing is the result of "projection." Describe how you achieved this projection. Describe the process you and your partner used to create your drawing.
4) Describe any part of the process that presented challenges for you and your group. Describe the strategies you used to overcome these challenges.
G) Include everything from your "Write Up" on your DP Update. DP Update is due Tuesday, April 22.
1) GEOGEBRA LAB CHECKS:
A) 1-Point Perspective Lab... must have finished floor, door and window
B) 2-Point Perspective Lab... must have 2nd building with roof that does not intersect the 1st building with roof.
2) Anamorphic Project Work Time: Work to complete your drawing... complete these final steps when you are ready: 1) outline the finished drawing using a black sharpie to make clean lines 2) erase stray smudges 3) shade the anamorphic image to improve its 3-D look.
Your final FINISHED project is due on Wednesday at the end of class.
Penalties for LATE work: 1-day late 70% MAX grade, less 5% for every additional calendar day that it is late.
3) Anamorphic 3-D Drawing Project
Anamorphic DP Update include the following:
A) REQUIRED: Title: My Anamorphic 3-D Drawing Project
B) REQUIRED: Picture of the original image
C) REQUIRED: Picture of the Anamorphic 3-D Drawing on your poster board
D) REQUIRED: Picture of the set-up image on the glass with finished product.
E) OPTIONAL: other pictures from another perspective such as the opposite side or from the left or right side.
F) "Write Up" TYPE and PRINT a hard copy due to Cathy Tuesday April 22
"Write Up" Anamorphic 10/10
0) Type Name, period, date and DP address at top of paper then respond to the following:
1) In your own words, define ANAMORPHIC. You will need to do some research on this. You may include references to photos that illustrate the property in order to support your definition. SITE sources appropriately.
2) Describe the supplies that you used to create your drawing.
3) Explain how your anamorphic drawing is the result of "projection." Describe how you achieved this projection. Describe the process you and your partner used to create your drawing.
4) Describe any part of the process that presented challenges for you and your group. Describe the strategies you used to overcome these challenges.
G) Include everything from your "Write Up" on your DP Update. DP Update is due Tuesday, April 22.
Friday ~ April 11, 2014 ******************************
Anamorphic Project Work Time today
Thursday ~ April 10, 2014 ****************************
Anamorphic Project Work Time... this is a problem solving hour with these QUESTIONS to SOLVE:
Where do you position your image on the glass on the table?
Where do you position the poster board so that the image is projected to fill the space on the poster board?
Where do I sit or stand, in a comfortable position, that I can reposition myself in that same position tomorrow?
AT the END of CLASS TODAY: consult with your partner. What do you need for tomorrow so that you can be more productive? Was my group unprepared today? Do I need other supplies? Do I need to use pennies to locate projected image points?
Wednesday ~ April 9, 2014 **************************
3-D picture for anamorphic drawing project is due today. 5 point grade
Supplies are due tomorrow so you can begin work.
You have 5 DAYS of IN-CLASS TIME to complete this project. DUE Wed April 16 at the end of class.
Anamorphic Project Work Time today
Thursday ~ April 10, 2014 ****************************
Anamorphic Project Work Time... this is a problem solving hour with these QUESTIONS to SOLVE:
Where do you position your image on the glass on the table?
Where do you position the poster board so that the image is projected to fill the space on the poster board?
Where do I sit or stand, in a comfortable position, that I can reposition myself in that same position tomorrow?
AT the END of CLASS TODAY: consult with your partner. What do you need for tomorrow so that you can be more productive? Was my group unprepared today? Do I need other supplies? Do I need to use pennies to locate projected image points?
Wednesday ~ April 9, 2014 **************************
3-D picture for anamorphic drawing project is due today. 5 point grade
Supplies are due tomorrow so you can begin work.
You have 5 DAYS of IN-CLASS TIME to complete this project. DUE Wed April 16 at the end of class.
Tuesday, April 8, 2014 *******************************
1) DP Update CHECK today for Trig Application: Measuring Heights of Objects Outside
2) During class today there are several tasks students may be working on, depending on their needs
................A) 1-Point Perspective GGB Lab: you need a checkered floor, a window and a door for the "room".
TO BE CHECKED Wednesday
................B) 2-Point Perspective GGB Lab: you need to construct a second building (not a copy)
TO BE CHECKED Wednesday
................C) HW 5 questions for Surface Area and Volume of 3-D prisms and cylinders
YOU WILL TURN IN COMPOSITION BOOKS Wednesday
.................D) 3-D IMAGE for anamorphic drawing project. Print out a copy of the image and bring to class
Wednesday. Your image should only be about the size of "less than HALF of an 8.5 x 11 inch PAGE"
.................E) If you are finished with EVERYTHING... Sierpinski Triangle Fractal
1) DP Update CHECK today for Trig Application: Measuring Heights of Objects Outside
2) During class today there are several tasks students may be working on, depending on their needs
................A) 1-Point Perspective GGB Lab: you need a checkered floor, a window and a door for the "room".
TO BE CHECKED Wednesday
................B) 2-Point Perspective GGB Lab: you need to construct a second building (not a copy)
TO BE CHECKED Wednesday
................C) HW 5 questions for Surface Area and Volume of 3-D prisms and cylinders
YOU WILL TURN IN COMPOSITION BOOKS Wednesday
.................D) 3-D IMAGE for anamorphic drawing project. Print out a copy of the image and bring to class
Wednesday. Your image should only be about the size of "less than HALF of an 8.5 x 11 inch PAGE"
.................E) If you are finished with EVERYTHING... Sierpinski Triangle Fractal
Monday, April 7, 2014 *****************************
1) Read and look at Project Samples in the two documents below. Materials as listed in the document are required for class THURSDAY.
The Anamorphic Impossible Triangle Made of Cubes is drawn on a 40 wide X 60 tall piece of foam core board.
The Impossible Complex Shape is on 24 wide X 36 tall poster board.
HW gather supplies for Anamorphic Drawing Project. Choose your partner and the 3-D object that you will project for the Anamorphic Drawing Project.
2) Geogebra Lab 2-Point Perspective. Follow the directions in the document below labeled 2-Point Perspective. If you have not finished 1-Point Perspective, please do so following the document posted on April 2.
3) Tuesday be prepared for DP Trig Application check and 1-Point Perspective Lab check.
Wednesday be prepared to hand in COMP BOOKS for next check.
1) Read and look at Project Samples in the two documents below. Materials as listed in the document are required for class THURSDAY.
The Anamorphic Impossible Triangle Made of Cubes is drawn on a 40 wide X 60 tall piece of foam core board.
The Impossible Complex Shape is on 24 wide X 36 tall poster board.
HW gather supplies for Anamorphic Drawing Project. Choose your partner and the 3-D object that you will project for the Anamorphic Drawing Project.
2) Geogebra Lab 2-Point Perspective. Follow the directions in the document below labeled 2-Point Perspective. If you have not finished 1-Point Perspective, please do so following the document posted on April 2.
3) Tuesday be prepared for DP Trig Application check and 1-Point Perspective Lab check.
Wednesday be prepared to hand in COMP BOOKS for next check.
2-Point Perspective Lab Instructions
Friday, April 4, 2014 ***************************************
1) Read Document ABOVE regarding our Anamorphic 3-D Drawing Project. Please read it if you have not already done so. Do some pre-planning this weekend. A Calendar of due dates and deadlines is shown below... This calendar is also in the document.
2) Your five 3-D Solids Surface Area and Volume HW problems are DUE TODAY!!! Turn in your Comp Books to me.
3) FOR TUESDAY, plan ahead, bring your computer and your charger. Failure to do so will result in maximum possible grades of 70% for the following assignments. Plan to show me your DP and your GEOGERBA LAB on YOUR COMPUTER.
A) I will (FINALLY) check for your TRIG APPLICATOIN DP Updates. To earn maximum credit for the TRIG Applications you are required to
Post Professional looking work to your DP that includes
a) Table of data, typed, include units.
b) Digitally created pictures (not hand drawn) of each scenario, labeled.
c) Typed algebraic solutions for each picture. Equations and solutions should be accurate and correct.
B) Your Geogebra 1-Point Perspective Lab is due on Tuesday
1) Read Document ABOVE regarding our Anamorphic 3-D Drawing Project. Please read it if you have not already done so. Do some pre-planning this weekend. A Calendar of due dates and deadlines is shown below... This calendar is also in the document.
2) Your five 3-D Solids Surface Area and Volume HW problems are DUE TODAY!!! Turn in your Comp Books to me.
3) FOR TUESDAY, plan ahead, bring your computer and your charger. Failure to do so will result in maximum possible grades of 70% for the following assignments. Plan to show me your DP and your GEOGERBA LAB on YOUR COMPUTER.
A) I will (FINALLY) check for your TRIG APPLICATOIN DP Updates. To earn maximum credit for the TRIG Applications you are required to
Post Professional looking work to your DP that includes
a) Table of data, typed, include units.
b) Digitally created pictures (not hand drawn) of each scenario, labeled.
c) Typed algebraic solutions for each picture. Equations and solutions should be accurate and correct.
B) Your Geogebra 1-Point Perspective Lab is due on Tuesday
Thursday, April 3, 2014 **********************************
1) NWEA Testing 10th grade...
2) 9th grade students work on 3-D Solid Surface Areas and Volumes. SHOW your work in your composition book
3) ALL STUDENTS: Please read the following document regarding our ANAMORPHIC 3-D DRAWING PROJECT
1) NWEA Testing 10th grade...
2) 9th grade students work on 3-D Solid Surface Areas and Volumes. SHOW your work in your composition book
3) ALL STUDENTS: Please read the following document regarding our ANAMORPHIC 3-D DRAWING PROJECT
Wednesday, April 2, 2014 ************************************
1) NWEA Testing for 9th grade students today... 10th grade students tomorrow.
2) Drawing 3-D Shapes: Scroll down to view the document below the 1-Point Perspective instructions document... that shows 3-D shapes. Today we practiced drawing a pyramid, two views of a cube, the cube optical illusion and the impossible triangle.
3) Work time (15 minutes): Show your work to Base Area, LSA, TSA and VOL for 3-D Solid Prism & Cylinder problems. #1-4 DUE FRIDAY.
4) Please be sure that you have completed the 1-Point-Perspective Lab to create your 3-D room. See the document below for the instructions. DUE FRIDAY.
1) NWEA Testing for 9th grade students today... 10th grade students tomorrow.
2) Drawing 3-D Shapes: Scroll down to view the document below the 1-Point Perspective instructions document... that shows 3-D shapes. Today we practiced drawing a pyramid, two views of a cube, the cube optical illusion and the impossible triangle.
3) Work time (15 minutes): Show your work to Base Area, LSA, TSA and VOL for 3-D Solid Prism & Cylinder problems. #1-4 DUE FRIDAY.
4) Please be sure that you have completed the 1-Point-Perspective Lab to create your 3-D room. See the document below for the instructions. DUE FRIDAY.
Tuesday, April 1, 2014 ***********************************
1) Square to Hexagon Dissection Puzzle... HINT for those who want it.
2) 3-D Solid PRISM & CYLINDER... base area, lateral surface area, total surface area & volume. Complete these 5 questions by FRIDAY. Remember there is NWEA testing Wed & Thu with make-ups on Friday.
1) Square to Hexagon Dissection Puzzle... HINT for those who want it.
2) 3-D Solid PRISM & CYLINDER... base area, lateral surface area, total surface area & volume. Complete these 5 questions by FRIDAY. Remember there is NWEA testing Wed & Thu with make-ups on Friday.
Monday, March 31, 2014 ***************************
0) If you were absent on Thursday or Friday before break, you missed composition book information and lots of color-coding. All of the information we put in our comp books is listed below on Thursday March 20 and Friday March 21. The handouts you can get in class today... or if you are motivated to complete this work before you return from break so you are prepared to move ahead, then please print out these papers here... PDF.
I recommend that you color and label everything before you cut and glue.
1) If you did not create a 3-D One-Point Perspective Sketch before break... you need to do so this week. If you have the basic "room" can you create a door and a window and a checkered floor that remains in perspective when you drag the sliders? What other embellishments can you add to your room?
Our End-of-Year exhibition will show your talents in 3-D perspective and 3-D solids. Eventually you will be displaying your sketch as part of your end of year exhibition.
2) Our schedule this week.
Wednesday 9th graders will complete their last NWEA math tests. Lauren is proctoring.
Thursday 10th graders will complete their last NWEA math tests. Cathy is proctoring.
Friday is the day to finish or make-up NWEA math. Cathy is proctoring.
3) SEE document below for TODAYs work: Dissection Problems without Formaldehyde.
Thank you to my Substitute today! I hope my students gave good effort toward their work today. Please let me know how things went.
Students: I'll be back tomorrow.... the Eagenator.
0) If you were absent on Thursday or Friday before break, you missed composition book information and lots of color-coding. All of the information we put in our comp books is listed below on Thursday March 20 and Friday March 21. The handouts you can get in class today... or if you are motivated to complete this work before you return from break so you are prepared to move ahead, then please print out these papers here... PDF.
I recommend that you color and label everything before you cut and glue.
1) If you did not create a 3-D One-Point Perspective Sketch before break... you need to do so this week. If you have the basic "room" can you create a door and a window and a checkered floor that remains in perspective when you drag the sliders? What other embellishments can you add to your room?
Our End-of-Year exhibition will show your talents in 3-D perspective and 3-D solids. Eventually you will be displaying your sketch as part of your end of year exhibition.
2) Our schedule this week.
Wednesday 9th graders will complete their last NWEA math tests. Lauren is proctoring.
Thursday 10th graders will complete their last NWEA math tests. Cathy is proctoring.
Friday is the day to finish or make-up NWEA math. Cathy is proctoring.
3) SEE document below for TODAYs work: Dissection Problems without Formaldehyde.
Thank you to my Substitute today! I hope my students gave good effort toward their work today. Please let me know how things went.
Students: I'll be back tomorrow.... the Eagenator.
WEEK 11: March 17-21 last week before spring break
Friday March 21, 2014 *******************************
Color code the 3-D Solids for Prism & Cylinder and Pyramid and Cone. Write the formulas for the Lateral Surface Area (LSA), Total Surface Area (TSA) and Volume (V). Color code the parts.
Color code the 3-D Solids for Prism & Cylinder and Pyramid and Cone. Write the formulas for the Lateral Surface Area (LSA), Total Surface Area (TSA) and Volume (V). Color code the parts.
Thursday March 20, 2014 ***************************
Create 3-D Solid pop-ups for cylinder, pentagonal prism and triangular prism and cone, square pyramid and hexagonal pyramid. Color Code and create a color-coded KEY as shown below. GLUE only the regions indicated by the arrows. Do not glue if you are unsure.
Create 3-D Solid pop-ups for cylinder, pentagonal prism and triangular prism and cone, square pyramid and hexagonal pyramid. Color Code and create a color-coded KEY as shown below. GLUE only the regions indicated by the arrows. Do not glue if you are unsure.
Wednesday March 19, 2014 **************************
Complete the Collaborative Area Activity ... this will be finished before spring break.
OR
Create one-point perspective sketch of 3-D room in Geogebra. ... this will be finished before spring break. See Tuesday for a picture and an applet that shows what are end product may look like. There is a document of instructions below the applet... Just scroll down.
If you are absent, please FOLLOW the instructions and complete the sketch on your own.
You can do this IF you FOLLOW the INSTRUCTIONS!!!
Complete the Collaborative Area Activity ... this will be finished before spring break.
OR
Create one-point perspective sketch of 3-D room in Geogebra. ... this will be finished before spring break. See Tuesday for a picture and an applet that shows what are end product may look like. There is a document of instructions below the applet... Just scroll down.
If you are absent, please FOLLOW the instructions and complete the sketch on your own.
You can do this IF you FOLLOW the INSTRUCTIONS!!!
Tuesday March 18, 2014 *************************
Sorry - no office hours today, I have an apt after school. If you want help during SIG time on Thursday I can write a pass for you to request that you see me. Let me know.
1) A quick look at one-point perspective drawings. You will be creating your own 1-point and 2-point perspective drawings in Geogebra and your sketches will be part of your end of year math exhibition in Geometry. See sketches below.
2) More work time to finish Area problems.
Sorry - no office hours today, I have an apt after school. If you want help during SIG time on Thursday I can write a pass for you to request that you see me. Let me know.
1) A quick look at one-point perspective drawings. You will be creating your own 1-point and 2-point perspective drawings in Geogebra and your sketches will be part of your end of year math exhibition in Geometry. See sketches below.
2) More work time to finish Area problems.
Monday March 17 Happy St. Patrick's Day **************
1) Area Problems - show all work in the space provided on the recording page. FINISH on MONDAY & TUESDAY.
2) This week we will begin our study of 3-D solids their 2-D nets and their surface areas and volumes. a) Prism and Cylinder b) Pyramid and Cone
1) Area Problems - show all work in the space provided on the recording page. FINISH on MONDAY & TUESDAY.
2) This week we will begin our study of 3-D solids their 2-D nets and their surface areas and volumes. a) Prism and Cylinder b) Pyramid and Cone
WEEK 10: March 10-14 TCAP TESTING Monday - Thursday
Wrap up Areas this week with a COLLABORATIVE AREA ACTIVITY:
Using Trig and Pythagorean Theorem and Special Right Triangles.... find areas of triangle, parallelogram, trapezoid, kite, regular polygon, circle, sector, annulus and annulus-sector.
Complete SIX area questions during two class periods.
This proved harder than I expected ... We will finish problems next week.
Friday paper folding the pleated cube. Thanks to those who participated!
Wrap up Areas this week with a COLLABORATIVE AREA ACTIVITY:
Using Trig and Pythagorean Theorem and Special Right Triangles.... find areas of triangle, parallelogram, trapezoid, kite, regular polygon, circle, sector, annulus and annulus-sector.
Complete SIX area questions during two class periods.
This proved harder than I expected ... We will finish problems next week.
Friday paper folding the pleated cube. Thanks to those who participated!
WEEK 9: March 3-7
FRIDAY March 7, 2014 ***********************************
1) Review Area of Sector 2) Areas of Annulus and Annulus-Sector work in our composition books
3) TCAP testing next week Monday through Thursday.... eat a good breakfast and get a good nights sleep.
4) Hand in your composition books so I can update grades. You may pick up your comp books anytime later today or next week. Do not forget to pick them up if you have work that you have not finished. If you are absent today, please bring me your comp book next week so I can update grades. ZEROS will go in the grade book on Tuesday if you have not submitted your comp book to me. You may leave it on my desk and I will check there or see me in person. Thanks for checking my DP and doing what you need to do!
1) Review Area of Sector 2) Areas of Annulus and Annulus-Sector work in our composition books
3) TCAP testing next week Monday through Thursday.... eat a good breakfast and get a good nights sleep.
4) Hand in your composition books so I can update grades. You may pick up your comp books anytime later today or next week. Do not forget to pick them up if you have work that you have not finished. If you are absent today, please bring me your comp book next week so I can update grades. ZEROS will go in the grade book on Tuesday if you have not submitted your comp book to me. You may leave it on my desk and I will check there or see me in person. Thanks for checking my DP and doing what you need to do!
5) Update your DP with your TRIG APPLICATION work. See the document below for ideas on how to create your tables, diagrams and typed algebraic solution.
Thursday March 6, 2014 ******************************
STARTER: Find the area of each polygon having a perimeter of 720 ft.
a) pentagon
b) hexagon
c) octagon
Find the area of a circle having circumference 720 ft
STARTER: Find the area of each polygon having a perimeter of 720 ft.
a) pentagon
b) hexagon
c) octagon
Find the area of a circle having circumference 720 ft
Wednesday March 5, 2014 *****************************
Collaborative Activity: Determine the general area formula for any regular polygon given perimeter P and number of sides n.
Collaborative Activity: Determine the general area formula for any regular polygon given perimeter P and number of sides n.
Tuesday March 4, 2014 *******************************
1) STARTER: using midsegments to find area of trapezoid and triangle.
1) STARTER: using midsegments to find area of trapezoid and triangle.
2) Check out two APPLETS on DP: Area of Rhombus and Area of Kite
3) HOMEWORK problems: #1-7 area of triangle, trapezoid, rhombus and kite.
3) HOMEWORK problems: #1-7 area of triangle, trapezoid, rhombus and kite.
Monday March 3, 2014 *************************************
1) Comp Book Entries Midsegments in Triangles and Midsegment in Trapezoid
2) Learn about Midsegments or Midlines of Triangles and Trapezoids... Go To GGB Applets
3) Add your data to the Collective DATA record on whiteboard.
4) HOMEWORK: Post Professional & Publishable Work to your DP that includes
a) Table of data, typed.
b) Digitally created pictures (not hand drawn) of each scenario, labeled.
c) Typed algebraic solutions for each picture.
This DP Update deadline is Friday March 7.
1) Comp Book Entries Midsegments in Triangles and Midsegment in Trapezoid
2) Learn about Midsegments or Midlines of Triangles and Trapezoids... Go To GGB Applets
3) Add your data to the Collective DATA record on whiteboard.
4) HOMEWORK: Post Professional & Publishable Work to your DP that includes
a) Table of data, typed.
b) Digitally created pictures (not hand drawn) of each scenario, labeled.
c) Typed algebraic solutions for each picture.
This DP Update deadline is Friday March 7.
WEEK 8: February 24-28
Friday February 28, 2014 *******************************
1) STARTER
2) Draw and label pictures representing each of the 3 objects you measured yesterday. Write equations and solve for height. Remember to include the eye height of the person who measured the angles of elevation.
3) Add your data to the Collective DATA document.
4) DP UPDATE TRIG 20/20
Post Professional & Publishable work to your DP that includes
a) Table of data, typed.
b) Digitally created pictures (not hand drawn) of each scenario, labeled.
c) Typed algebraic solutions for each picture... see examples of solutions shown on Feb 26 below.
This should be complete and your DP updated by Friday March 7
d) ...more to come later...
1) STARTER
2) Draw and label pictures representing each of the 3 objects you measured yesterday. Write equations and solve for height. Remember to include the eye height of the person who measured the angles of elevation.
3) Add your data to the Collective DATA document.
4) DP UPDATE TRIG 20/20
Post Professional & Publishable work to your DP that includes
a) Table of data, typed.
b) Digitally created pictures (not hand drawn) of each scenario, labeled.
c) Typed algebraic solutions for each picture... see examples of solutions shown on Feb 26 below.
This should be complete and your DP updated by Friday March 7
d) ...more to come later...
Thursday February 27, 2014 ****************************
STARTER: Please complete in your composition book.
DATA COLLECTION: IF you have the solution to the right hand triangle from class yesterday (see below), THEN you will collect data. Create a data table. Choose the objects you will measure. Collect three data values for each object. Efficient use of 4 measuring tapes for 6 locations.
STARTER: Please complete in your composition book.
DATA COLLECTION: IF you have the solution to the right hand triangle from class yesterday (see below), THEN you will collect data. Create a data table. Choose the objects you will measure. Collect three data values for each object. Efficient use of 4 measuring tapes for 6 locations.
Wednesday February 26, 2014 ****************************
STARTER: Complete in your composition book. Neatly organize your work to show all algebraic steps.
STARTER: Complete in your composition book. Neatly organize your work to show all algebraic steps.
CB ENTRY: PARALLELGORAM ALTITUDES, heights and AREAS.
Use a trig ratio to express the height of the parallelogram and then find the area.
Use a trig ratio to express the height of the parallelogram and then find the area.
Measure the height of several landmarks visible form our school parking lot. See pictures below. Use the clinometer to measure angles of elevation. Use the algebraic strategy illustrated in today's starter to calculate the heights.
Requirements: You must work with a partner to record measurements and algebraically determine the heights of one of the objects in each of the photos below... meaning you must find the height of three of the objects.
Collaboratively work to write up each of your algebraic solutions.
*** Post each picture and each solution on your DP.
Requirements: You must work with a partner to record measurements and algebraically determine the heights of one of the objects in each of the photos below... meaning you must find the height of three of the objects.
Collaboratively work to write up each of your algebraic solutions.
*** Post each picture and each solution on your DP.
Tuesday February 25, 2014 **************************
1) Complete your GOOGLE form notecard responses. Be as specific as possible with evidence. You will most likely use your composition book as evidence BUT choose specific entries as evidence of your talking points.
2) Complete 2 physical notecards with your responses for SLC prep in Humanities and SLCs on Wednesday night.
3) Using TRIG to calculate heights of altitudes of triangles and parallelograms.
Go to the APPLETS page and exhaust your understanding of the Area of Triangle and Parallelogram.
You should
a) know the area of triangle and parallelogram.
b) be able to draw altitudes using a straightedge whether they fall inside or outside the shape.
Altitudes must always be perpendicular to the side of the shape.
4) Complete the following two entries in your composition book.
Color code as indicated for clarity and understanding.
CB ENTRY: TRIANGLE ALTITUDES, heights and AREAS.
1) Complete your GOOGLE form notecard responses. Be as specific as possible with evidence. You will most likely use your composition book as evidence BUT choose specific entries as evidence of your talking points.
2) Complete 2 physical notecards with your responses for SLC prep in Humanities and SLCs on Wednesday night.
3) Using TRIG to calculate heights of altitudes of triangles and parallelograms.
Go to the APPLETS page and exhaust your understanding of the Area of Triangle and Parallelogram.
You should
a) know the area of triangle and parallelogram.
b) be able to draw altitudes using a straightedge whether they fall inside or outside the shape.
Altitudes must always be perpendicular to the side of the shape.
4) Complete the following two entries in your composition book.
Color code as indicated for clarity and understanding.
CB ENTRY: TRIANGLE ALTITUDES, heights and AREAS.
Monday February 24, 2014 ********************************
READ How to use a CLINOMETER to measure height. LINK
You may use the 8-Steps button at top of page to click through the 8 steps.
Gather a notebook, pencil/pen, a clinometer and partner.
Test your understanding: In the room to find the height of the ceiling at a corner of the room but you must kneel or sit on the floor!
SLC Prep for Geometry Open this document PDF
Notecard 1 Side 1: In Geometry, my greatest strength is....
Notecard 1 Side 2: In Geometry, the area I most need to improve is...
Notecard 2 Side 1: In Geometry, I will improve by...
You may use the 8-Steps button at top of page to click through the 8 steps.
Gather a notebook, pencil/pen, a clinometer and partner.
Test your understanding: In the room to find the height of the ceiling at a corner of the room but you must kneel or sit on the floor!
SLC Prep for Geometry Open this document PDF
Notecard 1 Side 1: In Geometry, my greatest strength is....
Notecard 1 Side 2: In Geometry, the area I most need to improve is...
Notecard 2 Side 1: In Geometry, I will improve by...
WEEK 7: February 19-20-21
Friday February 21, 2014 ***********************************
2) Set up Trig Ratios as indicated in the triangles below. We will use INVERSE TRIG to find angles when we know ratios of sides.
Thursday Feb 20, 2014 ************************************
2) Hand in Composition Books for a completion check today on work from Jan 31 to Feb 19, 2014. SLCs are next Wednesday and I want your grades up to date this week before SLCs.
Thanks for doing good work on a daily basis!!!!
If you are not, then what are you waiting for????
3) While I am checking comp books... you will collaboratively solve problems involving angle of elevation and depression. FOLLOW DIRECTIONS EXPLICITLY and you will do well. You may work with your peers, use notes, and use calculators. You must show all work as outlined in the directions. Points are noted and will be awarded accordingly. This is a 50 point grade. You are to complete these during this class period and submit your work TODAY. Write your name on the handout, staple your graph paper to the BACK of the handout and submit.
(If you are absent, see me when you return to school. This graded assignment will not be posted on my DP for downloading.)
Thanks for doing good work on a daily basis!!!!
If you are not, then what are you waiting for????
3) While I am checking comp books... you will collaboratively solve problems involving angle of elevation and depression. FOLLOW DIRECTIONS EXPLICITLY and you will do well. You may work with your peers, use notes, and use calculators. You must show all work as outlined in the directions. Points are noted and will be awarded accordingly. This is a 50 point grade. You are to complete these during this class period and submit your work TODAY. Write your name on the handout, staple your graph paper to the BACK of the handout and submit.
(If you are absent, see me when you return to school. This graded assignment will not be posted on my DP for downloading.)
Wednesday Feb 19, 2014 **********************************
1) STARTER: Sketch and label a triangle to represent the given trig ratio. Find the missing sides and complete the other trig ratios. See below. TRIG QUIZ TOMORROW (collaborative)
1) STARTER: Sketch and label a triangle to represent the given trig ratio. Find the missing sides and complete the other trig ratios. See below. TRIG QUIZ TOMORROW (collaborative)
2) ANGLE of ELEVATION & ANGLE of DEPRESSION
When Mr. Squirrel looks up from his acorns he spies the hot air balloon on top of the building. The angle his eyes make with the horizontal ground is an angle of elevation. When Mr. HA Balloonman looks down from the top of the building and spies the squirrel, the angle his eyes make with the horizontal is an angle of depression. This angle of elevation and angle of depression are equal in size since they are congruent alternate interior angles. Both are labeled theta.
When Mr. Squirrel looks up at the biplane and the pilot looks down at the squirrel, again we have a congruent angle of elevation and angle of depression... both are labeled alpha.
When Mr. Squirrel looks up from his acorns he spies the hot air balloon on top of the building. The angle his eyes make with the horizontal ground is an angle of elevation. When Mr. HA Balloonman looks down from the top of the building and spies the squirrel, the angle his eyes make with the horizontal is an angle of depression. This angle of elevation and angle of depression are equal in size since they are congruent alternate interior angles. Both are labeled theta.
When Mr. Squirrel looks up at the biplane and the pilot looks down at the squirrel, again we have a congruent angle of elevation and angle of depression... both are labeled alpha.
WEEK 6: February 10-14
Friday Feb 14, 2014 *************************************
1) CALENDAR REMINDERS: Monday is a School Holiday. No school for teachers or students.
Tuesday is a Professional Development day. No school for students.
2) STARTER: Set up a valid TRIG Ratio for each triangle in the picture below.
3) SOLVING TRIG RATIOS: Solve for a missing side of a right triangle.
Evaluate using a calculator and express the answer using 3 decimal places.
3) HOMEWORK: Solve right triangle using Trig Ratios PDF Word
1) CALENDAR REMINDERS: Monday is a School Holiday. No school for teachers or students.
Tuesday is a Professional Development day. No school for students.
2) STARTER: Set up a valid TRIG Ratio for each triangle in the picture below.
3) SOLVING TRIG RATIOS: Solve for a missing side of a right triangle.
Evaluate using a calculator and express the answer using 3 decimal places.
3) HOMEWORK: Solve right triangle using Trig Ratios PDF Word
Thursday Feb 13, 2014 ******************************
1) STARTER: see picture below.
Compare the lengths of heights and bases of right triangles with equal hypotenuse lengths but different angles.
1) STARTER: see picture below.
Compare the lengths of heights and bases of right triangles with equal hypotenuse lengths but different angles.
2) RIGHT TRIANGLE Terminology & picture: draw and label the right triangle noting hypotenuse, legs, angles and vocabulary for adjacent and opposite.
3) Use the Special Right Triangle relationships:
In the diagrams below, what are the coordinates of the four points on each of the circles with radius 20?
HOMEWORK: answer 6 questions similar to the three below PDF Word
In the diagrams below, what are the coordinates of the four points on each of the circles with radius 20?
HOMEWORK: answer 6 questions similar to the three below PDF Word
Wednesday Feb 12, 2014 *********************************
1) STARTER: see picture Pythagorean Spiral or the Wheel of Theodorus
1) STARTER: see picture Pythagorean Spiral or the Wheel of Theodorus
2) Comp Bk entry: Perfect Squares and their Multiples (go back to chart Nov 18th).
3) Simplifying Square Roots... check HW #1-8
4) FLASH CARDS: 45-45-90 and 30-60-90 right triangles
5) HOMEWORK: finish #15-16 from Feb 11 problem set.
3) Simplifying Square Roots... check HW #1-8
4) FLASH CARDS: 45-45-90 and 30-60-90 right triangles
5) HOMEWORK: finish #15-16 from Feb 11 problem set.
Tuesday Feb 11, 2014 ************************************
1) STARTER: Extended Parallel Proportions. (see picture below)
2) Special Right Triangle Patterns. PDF Word
Review 45-45-90 triangle lengths of sides.
Find pattern for 30-60-90 Triangles & lengths of sides.
3) HOMEWORK: Applying Special Right Triangle relationships to problems. PDF Word
In class: Finish #9-14 in class ASAP.
Out of class: Spend 15 quality minutes working on #1-8, #15-16.
1) STARTER: Extended Parallel Proportions. (see picture below)
2) Special Right Triangle Patterns. PDF Word
Review 45-45-90 triangle lengths of sides.
Find pattern for 30-60-90 Triangles & lengths of sides.
3) HOMEWORK: Applying Special Right Triangle relationships to problems. PDF Word
In class: Finish #9-14 in class ASAP.
Out of class: Spend 15 quality minutes working on #1-8, #15-16.
Monday Feb 10, 2014 **************************************
1) Review the Google form questions & answers from Friday.
2) Any HW questions from Friday's work... let's review.
3) STARTER: simplify the square roots
4) Special Right Triangle Patterns: 45-45-90 triangles & lengths of sides.
5) Finish HW from Friday...
1) Review the Google form questions & answers from Friday.
2) Any HW questions from Friday's work... let's review.
3) STARTER: simplify the square roots
4) Special Right Triangle Patterns: 45-45-90 triangles & lengths of sides.
5) Finish HW from Friday...
If you were absent on Friday, you should have checked my DP and completed the Google form below. If you have not completed the form yet your deadline is
8am Monday Feb 10 to complete the form. NO EXCEPTIONS.
Always check your teachers' DPs when you are absent.
If you completed the Google form on Friday you should have received an e-mail Saturday evening around 7pm with your score. You also earn 5 points in the graded work category on PowerSchool for completing the form even if you did not answer the questions correctly.
8am Monday Feb 10 to complete the form. NO EXCEPTIONS.
Always check your teachers' DPs when you are absent.
If you completed the Google form on Friday you should have received an e-mail Saturday evening around 7pm with your score. You also earn 5 points in the graded work category on PowerSchool for completing the form even if you did not answer the questions correctly.
WEEK 5: February 3-7
FRIDAY Feb 7, 2014 **********************************
Substitute Teacher today: Greg
Quiz corrections are due TODAY!
Be respectful and helpful. Stay focused and complete your work.
Complete the practice review problems in your composition book.
Please complete the GOOGLE FORM below. The questions with pictures can be found below the Google form. Type your answers in the google form. Deadline Monday Feb 10, 2014 8AM
Substitute Teacher today: Greg
Quiz corrections are due TODAY!
Be respectful and helpful. Stay focused and complete your work.
Complete the practice review problems in your composition book.
Please complete the GOOGLE FORM below. The questions with pictures can be found below the Google form. Type your answers in the google form. Deadline Monday Feb 10, 2014 8AM
THURSDAY Feb 6, 2014 **************************************
1) QUIZ corrections due tomorrow.
2) Wrap Up Wednesday questions on similarity using corresponding parts of triangles.
3) An altitude from the right angle of a right triangle creates 3 similar right triangles. See picture below.
4) Indirect Measurements using mirrors.
1) QUIZ corrections due tomorrow.
2) Wrap Up Wednesday questions on similarity using corresponding parts of triangles.
3) An altitude from the right angle of a right triangle creates 3 similar right triangles. See picture below.
4) Indirect Measurements using mirrors.
WEDNESDAY Feb 5, 2014 **************************
1) STARTER: extended proportions from multiple parallels
2) APPLETS: Use the applets on the next page to learn about...
a) Two similar triangles and their medians,
b) Two similar triangles and their altitudes
c) Two similar triangles and their angle bisectors.
d) One triangle and equivalent ratios formed by one angle bisector.
3) HW questions to practice & verify that you learned something from the applets. Finish for HW.
4) Quiz corrections are due on Friday. Lunch office hours today.
1) STARTER: extended proportions from multiple parallels
2) APPLETS: Use the applets on the next page to learn about...
a) Two similar triangles and their medians,
b) Two similar triangles and their altitudes
c) Two similar triangles and their angle bisectors.
d) One triangle and equivalent ratios formed by one angle bisector.
3) HW questions to practice & verify that you learned something from the applets. Finish for HW.
4) Quiz corrections are due on Friday. Lunch office hours today.
TUESDAY Feb 4, 2014 ***********************************
1) STARTER: Writing Proportions for Nested Similar Triangles (See Below).
2) HW Clarifications: Proportions & Similar Triangles Feb 3
3) Extended Parallels & Proportions APPLET
4) Let's finish paper folding our Hyperbolic Paraboloid.
5) QUIZ corrections due Friday. Office Hours today after school. Wednesday @ lunch.
1) STARTER: Writing Proportions for Nested Similar Triangles (See Below).
2) HW Clarifications: Proportions & Similar Triangles Feb 3
3) Extended Parallels & Proportions APPLET
4) Let's finish paper folding our Hyperbolic Paraboloid.
5) QUIZ corrections due Friday. Office Hours today after school. Wednesday @ lunch.
MONDAY Feb 3, 2014 *********************************
1) Quiz Corrections due Friday February 7 at the beginning of class.
As usual...Office hours Tuesday after school and Wednesday lunch.
2) Proportions & Similar Triangles
STARTER: Solve the proportions on the board.
APPLET: Proportions & Similar Triangles (see applet page)
Comp Book Notes
HW: see below
1) Quiz Corrections due Friday February 7 at the beginning of class.
As usual...Office hours Tuesday after school and Wednesday lunch.
2) Proportions & Similar Triangles
STARTER: Solve the proportions on the board.
APPLET: Proportions & Similar Triangles (see applet page)
Comp Book Notes
HW: see below
WEEK 4: January 27-31
FRIDAY Jan 31, 2014 ************************************
1) Quizzes returned. Corrections are due Friday February 7th at the beginning of class.
2) If there are discrepancies in PowerSchool for you composition book assignments which I checked on Wednesday, please see me during lunch or office hours so we can reconcile our differences. Thanks we can take care of this!
3) Next week we will begin our study of similar figures and properties of similarity and their applications to solving problems. This will also lead us into our study of TRIGONOMETRY.
Recall that just before winter break you learned a little about dilations by scale factors about a center which resulted in an image that was a scaled version of the pre-image. The pre-image and image under a dilation are SIMILAR figures.
Answer these starter questions using the APPLET: Dilations by Scale Factor about Center
1) Where does the dilation image appear in relation to
the center and the pre-image when the scale factor is
a) between 0 and +1?
b) greater than +1?
c) between -1 and 0?
d) less than -1?
2) How is the image different from the pre-image when the scale factor is negative?
3) How do you locate the center of dilation, if you have the pre-image and image?
4) If you have the center of dilation, the pre-image and the image,
state two different calculations that determines the scale factor...
a) using pre-image and image lengths.
b) using distances from the dilation center.
5) What is the relationship between corresponding segments of the pre-image & image?
4) Time to finish Paper Folding your HYPERBOLIC PARABOLOID
1) Quizzes returned. Corrections are due Friday February 7th at the beginning of class.
2) If there are discrepancies in PowerSchool for you composition book assignments which I checked on Wednesday, please see me during lunch or office hours so we can reconcile our differences. Thanks we can take care of this!
3) Next week we will begin our study of similar figures and properties of similarity and their applications to solving problems. This will also lead us into our study of TRIGONOMETRY.
Recall that just before winter break you learned a little about dilations by scale factors about a center which resulted in an image that was a scaled version of the pre-image. The pre-image and image under a dilation are SIMILAR figures.
Answer these starter questions using the APPLET: Dilations by Scale Factor about Center
1) Where does the dilation image appear in relation to
the center and the pre-image when the scale factor is
a) between 0 and +1?
b) greater than +1?
c) between -1 and 0?
d) less than -1?
2) How is the image different from the pre-image when the scale factor is negative?
3) How do you locate the center of dilation, if you have the pre-image and image?
4) If you have the center of dilation, the pre-image and the image,
state two different calculations that determines the scale factor...
a) using pre-image and image lengths.
b) using distances from the dilation center.
5) What is the relationship between corresponding segments of the pre-image & image?
4) Time to finish Paper Folding your HYPERBOLIC PARABOLOID
THURSDAY Jan 30, 2014 *********************************
More Statements and Reasons to develop deductive reasoning.
Paper Folding a Hyperbolic Paraboloid... Instructions are here WORD
ONLY CREASE TO THE DIAGONAL
More Statements and Reasons to develop deductive reasoning.
Paper Folding a Hyperbolic Paraboloid... Instructions are here WORD
ONLY CREASE TO THE DIAGONAL
WEDNESDAY Jan 29, 2014 *********************************
Review before Quiz:
Centers of Triangle: Median, Perpendicular Bisector, Incenter and Orthocenter
review HW problems.
QUIZ segments in a triangle (medians, perpendicular bisectors, angle bisectors, altitudes)
points of concurrency (centroid, circumcenter, incenter and orthocenter)
properties... review your notes.
While you are taking your quiz I will be updating COMP BOOK grades... so be sure your work is complete.
Review before Quiz:
Centers of Triangle: Median, Perpendicular Bisector, Incenter and Orthocenter
review HW problems.
QUIZ segments in a triangle (medians, perpendicular bisectors, angle bisectors, altitudes)
points of concurrency (centroid, circumcenter, incenter and orthocenter)
properties... review your notes.
While you are taking your quiz I will be updating COMP BOOK grades... so be sure your work is complete.
TUESDAY Jan 28, 2014 ************************************
STARTER: Exterior Angles and Interior Angles of polygons.
See picture below for three questions.
1) Google Form Responses from yesterday: Clarifying misunderstandings.
Here are the results of all classes' responses WORD
2) One more look at ORTHOCENTER APPLET.
3) TIME to WORK on mastering the understanding of
Segments and Centers of Triangles and their Properties.
MEDIANS - Point of Concurrency =
Centroid which always lies inside the triangle and is the center of balance.
Ratios of parts... short:long = 1:2, short:median = 1:3, long:median = 2:3
ANGLE BISECTORS -
Point of Concurrency = Incenter always lies inside the triangle and is the center
of the Incircle which is inscribed in the triangle. The radii distance from the
Incenter to each side of the triangle is EQUIDISTANT.
PERPENDICULAR BISECTORS -
Point of Concurrency = Circumcenter which is the center of the circumcircle
which circumscribes the triangle. The radii distance from the Circumcenter to
each vertex is EQUIDISTANT. The circumcenter lies inside acute triangles,
outside obtuse triangles and on the midpoint of the hypotenuse in right triangles.
ALTITUDES - Point of Concurrency = Orthocenter which falls
at the right angle vertex in a right triangle,
inside an acute triangle and
outside an obtuse triangle.
MORE than ONE ORTHOCENTER (intersection of altitudes)
Given triangle ABC with ORTHOCENTER at G...
A is the orthocenter of triangle ___?
B is the orthocenter of triangle ___?
C is the orthocenter of triangle ___?
CLASSWORK finish for HOMEWORK:
refine answers to question #1-4, complete question #5-8.
QUIZ WEDNESDAY: segments in triangle, concurrency, properties
While you are taking your quiz I will be updating COMP BOOK grades... so be sure your work is complete.
STARTER: Exterior Angles and Interior Angles of polygons.
See picture below for three questions.
1) Google Form Responses from yesterday: Clarifying misunderstandings.
Here are the results of all classes' responses WORD
2) One more look at ORTHOCENTER APPLET.
3) TIME to WORK on mastering the understanding of
Segments and Centers of Triangles and their Properties.
MEDIANS - Point of Concurrency =
Centroid which always lies inside the triangle and is the center of balance.
Ratios of parts... short:long = 1:2, short:median = 1:3, long:median = 2:3
ANGLE BISECTORS -
Point of Concurrency = Incenter always lies inside the triangle and is the center
of the Incircle which is inscribed in the triangle. The radii distance from the
Incenter to each side of the triangle is EQUIDISTANT.
PERPENDICULAR BISECTORS -
Point of Concurrency = Circumcenter which is the center of the circumcircle
which circumscribes the triangle. The radii distance from the Circumcenter to
each vertex is EQUIDISTANT. The circumcenter lies inside acute triangles,
outside obtuse triangles and on the midpoint of the hypotenuse in right triangles.
ALTITUDES - Point of Concurrency = Orthocenter which falls
at the right angle vertex in a right triangle,
inside an acute triangle and
outside an obtuse triangle.
MORE than ONE ORTHOCENTER (intersection of altitudes)
Given triangle ABC with ORTHOCENTER at G...
A is the orthocenter of triangle ___?
B is the orthocenter of triangle ___?
C is the orthocenter of triangle ___?
CLASSWORK finish for HOMEWORK:
refine answers to question #1-4, complete question #5-8.
QUIZ WEDNESDAY: segments in triangle, concurrency, properties
While you are taking your quiz I will be updating COMP BOOK grades... so be sure your work is complete.
MONDAY Jan 27, 2014 *************************************
1) Complete the online Starter below within the first 7 minutes of class.
2) Go to the APPLETS page and use the APPLETS for
a) Three MEDIANS in a Triangle
b) Three PERPENDICULAR BISECTORS in a Triangle
c) Three ALTITUDES in a Triangle
d) Three ANGLE BISECTORS in a Triangle
In your composition book, record
1) the definition for each of these segments in a triangle
(if you did not already do so on Friday).
2) the name of the point of concurrency
3) any special properties of the point of concurrency or relationships resulting
from the 3 segments in the triangle.
3) CLASSWORK & finish for HOMEWORK: If you are having trouble answering the questions, go back and use the applets to determine the relationships necessary to answer the questions. PDF WORD
Monday HW: #1, 2, 3, 4. Glue anchor tab in your comp book. Answer questions under the tab.
1) Complete the online Starter below within the first 7 minutes of class.
2) Go to the APPLETS page and use the APPLETS for
a) Three MEDIANS in a Triangle
b) Three PERPENDICULAR BISECTORS in a Triangle
c) Three ALTITUDES in a Triangle
d) Three ANGLE BISECTORS in a Triangle
In your composition book, record
1) the definition for each of these segments in a triangle
(if you did not already do so on Friday).
2) the name of the point of concurrency
3) any special properties of the point of concurrency or relationships resulting
from the 3 segments in the triangle.
3) CLASSWORK & finish for HOMEWORK: If you are having trouble answering the questions, go back and use the applets to determine the relationships necessary to answer the questions. PDF WORD
Monday HW: #1, 2, 3, 4. Glue anchor tab in your comp book. Answer questions under the tab.
WEEK 3: January 20-24
SHORT WEEK SCHEDULE: short week for students & NWEA testing.
Monday January 20th is a School Holiday
Tuesday January 21st is a Professional Development Day for Teachers.... students stay home and play.
Wednesday-Thursday-Friday-Monday
9th grade students report to the commons on Wednesday for NWEA testing...
10th grade students will report to the commons on Thursday for NWEA testing....
Any students that need to finish will do so on Friday if more time is needed.
Wednesday January 22, 2014 ***** 9th grade NWEA today ********
Review from last week's concepts:
1) Given a REGULAR polygon having n-congruent sides and n-congruent angles
a) The SUM of ALL Interior Angle measures = 180 (n-2)
b) ONE Interior Angle measure = 180 - (360 / n)
b) OR ... ONE Interior Angle measure = 180(n-2) / n
c) The Sum of ALL Exterior Angle measures = 360
d) ONE Exterior Angle measure = 360 / n
e) ONE Central Angle measure = 360 / n
f) ONE base angle measure of an Isosceles Triangle = (180 - 360 / n) / 2 = (90 - 180 / n)
2) Algebraic Properties for Proof
THIS WEEK
APPPLETS to learn the definitions of the following ... and Comp Book Entries for each.
a) Angle Bisector and its properties... we completed in class on Wednesday
b) Segments in a Triangle... after exploring each applet we used color pencil and straightedge
to draw the three segments in acute, right and obtuse triangles on this document. PDF word
1) Median in a triangle...we completed in class Wednesday
2) Perpendicular Bisector in a triangle... we completed in class Wednesday
3) Altitude in a triangle... we will complete in class Friday
4) Angle Bisector in a triangle... we will complete in class on Friday
Thursday January 23, 2014 ******* 10th grade NWEA today ********
Friday January 23, 2014 ******* 9th-10th finish NWEA today *******
Use the APPLETS for Altitude and Angle Bisector. On the handout from Wednesday's class, draw the three segments in each of the triangles using your colored pencils.
Cut the handout separating each of the four sections for Median, Perpendicular Bisector, Altitude and Angle Bisector
Open your comp book to pages showing both left and right side of the book to be clean pages.
Draw a HORIZONTAL line dividing both pages in half two create two sections on each page.
Glue one anchor tab into each of these four sections at the very top, leaving space for notes.
Write a clear and concise definition for each of the terms in the space below or underneath the triangles.
When you finish, please make sure your quiz corrections are complete and you place them in the test correction folder before the end of class.
SHORT WEEK SCHEDULE: short week for students & NWEA testing.
Monday January 20th is a School Holiday
Tuesday January 21st is a Professional Development Day for Teachers.... students stay home and play.
Wednesday-Thursday-Friday-Monday
9th grade students report to the commons on Wednesday for NWEA testing...
10th grade students will report to the commons on Thursday for NWEA testing....
Any students that need to finish will do so on Friday if more time is needed.
Wednesday January 22, 2014 ***** 9th grade NWEA today ********
Review from last week's concepts:
1) Given a REGULAR polygon having n-congruent sides and n-congruent angles
a) The SUM of ALL Interior Angle measures = 180 (n-2)
b) ONE Interior Angle measure = 180 - (360 / n)
b) OR ... ONE Interior Angle measure = 180(n-2) / n
c) The Sum of ALL Exterior Angle measures = 360
d) ONE Exterior Angle measure = 360 / n
e) ONE Central Angle measure = 360 / n
f) ONE base angle measure of an Isosceles Triangle = (180 - 360 / n) / 2 = (90 - 180 / n)
2) Algebraic Properties for Proof
THIS WEEK
APPPLETS to learn the definitions of the following ... and Comp Book Entries for each.
a) Angle Bisector and its properties... we completed in class on Wednesday
b) Segments in a Triangle... after exploring each applet we used color pencil and straightedge
to draw the three segments in acute, right and obtuse triangles on this document. PDF word
1) Median in a triangle...we completed in class Wednesday
2) Perpendicular Bisector in a triangle... we completed in class Wednesday
3) Altitude in a triangle... we will complete in class Friday
4) Angle Bisector in a triangle... we will complete in class on Friday
Thursday January 23, 2014 ******* 10th grade NWEA today ********
Friday January 23, 2014 ******* 9th-10th finish NWEA today *******
Use the APPLETS for Altitude and Angle Bisector. On the handout from Wednesday's class, draw the three segments in each of the triangles using your colored pencils.
Cut the handout separating each of the four sections for Median, Perpendicular Bisector, Altitude and Angle Bisector
Open your comp book to pages showing both left and right side of the book to be clean pages.
Draw a HORIZONTAL line dividing both pages in half two create two sections on each page.
Glue one anchor tab into each of these four sections at the very top, leaving space for notes.
Write a clear and concise definition for each of the terms in the space below or underneath the triangles.
When you finish, please make sure your quiz corrections are complete and you place them in the test correction folder before the end of class.
Week 2: January 13-17
Monday January 13, 2014 *******************************
Review from last week's concepts:
1) The sum of the two Remote Interior angles equals the Exterior angle.
2) Supplementary angle measures add up to 180 degrees.
3) Complementary angle measures add up to 90 degrees.
4) Angle measure that are related by ratios.
5) Angle measures related to two lines cut by a transversal when lines are parallel:
a) corresponding angles are congruent
b) same-side interior angles are supplementary.
c) same side exterior angles are supplementary.
d) alternate-interior angles are congruent.
e) alternate exterior angles are congruent
f) vertical angles are congruent
QUIZ today.
When finished work on the back sides of the two handouts from last Friday.
Interior and Exterior Angles of regular polygons
Triangle Congruence Patterns
No HW.
Monday January 13, 2014 *******************************
Review from last week's concepts:
1) The sum of the two Remote Interior angles equals the Exterior angle.
2) Supplementary angle measures add up to 180 degrees.
3) Complementary angle measures add up to 90 degrees.
4) Angle measure that are related by ratios.
5) Angle measures related to two lines cut by a transversal when lines are parallel:
a) corresponding angles are congruent
b) same-side interior angles are supplementary.
c) same side exterior angles are supplementary.
d) alternate-interior angles are congruent.
e) alternate exterior angles are congruent
f) vertical angles are congruent
QUIZ today.
When finished work on the back sides of the two handouts from last Friday.
Interior and Exterior Angles of regular polygons
Triangle Congruence Patterns
No HW.
Tuesday January 14, 2014 *******************************
1) CLASSTIME for HW Practice related to segment addition, angle addition, bisected segments, bisected angles, perpendicular, complements, supplements.
HW for TUE & WED Angle Practice pdf word
2) Absentees take quiz from Monday.
Wednesday January 15, 2014 *******************************
1) Check Tuesday HW Answers to Angle Practice Questions #1-8
2) Triangle Congruence Statements & Patterns
3) Statements and Justifications and Diagrams ... Stepping Stones to Proof... and a Riddle
4) HW: More Angle Practice related to two lines and a transversal #1-14 See PDF on Tuesday.
Thursday January 16, 2014 ********************************
1) Regular Polygons: sum of interior angles, sum of exterior angles, interior angle and exterior angle measures.
WS from Friday. Check both Thursday and Friday worksheet today.
2) Check composition book entries to update grades.
3) CLASS WORK: Parallels & Angle Practice pdf
Please work independently or collaboratively with understanding as the goal while I check comp book entries quickly and efficiently.
4) Quizzes returned today. Corrections due by Friday Jan 24.
Friday January 17, 2014:
1) Paper folding inscribed regular square, octagon, 16-gon, and triangle & hexagon in a circle. word
Glue the anchor tabs for these inscribed polygons into your composition book.
2) Class time for getting questions answered and completing unfinished work.
a) Quiz corrections due Friday Jan 24
b) Homework from Wednesday & Thursday... Finish anything that is incomplete.
1) CLASSTIME for HW Practice related to segment addition, angle addition, bisected segments, bisected angles, perpendicular, complements, supplements.
HW for TUE & WED Angle Practice pdf word
2) Absentees take quiz from Monday.
Wednesday January 15, 2014 *******************************
1) Check Tuesday HW Answers to Angle Practice Questions #1-8
2) Triangle Congruence Statements & Patterns
3) Statements and Justifications and Diagrams ... Stepping Stones to Proof... and a Riddle
4) HW: More Angle Practice related to two lines and a transversal #1-14 See PDF on Tuesday.
Thursday January 16, 2014 ********************************
1) Regular Polygons: sum of interior angles, sum of exterior angles, interior angle and exterior angle measures.
WS from Friday. Check both Thursday and Friday worksheet today.
2) Check composition book entries to update grades.
3) CLASS WORK: Parallels & Angle Practice pdf
Please work independently or collaboratively with understanding as the goal while I check comp book entries quickly and efficiently.
4) Quizzes returned today. Corrections due by Friday Jan 24.
Friday January 17, 2014:
1) Paper folding inscribed regular square, octagon, 16-gon, and triangle & hexagon in a circle. word
Glue the anchor tabs for these inscribed polygons into your composition book.
2) Class time for getting questions answered and completing unfinished work.
a) Quiz corrections due Friday Jan 24
b) Homework from Wednesday & Thursday... Finish anything that is incomplete.
Week 1: January 6-10
Monday January 6, 2014 *********************************
Today's Schedule
Advisory 8:15 - 9:15
1st 9:20 - 10:10
2nd 10:15 - 11:05
3rd 11:10 - 12:00
lunch 12:00 - 12:30
5th 12:35 - 1:25
6th 1:30 - 2:20
7th 2:25 - 3:15
Go to the GGB Applets page on my DP
Applet #1
Explore the defining characteristics of four types of angles
1) Complementary
2) Supplementary
3) Linear Pairs
4) Straight Angles
Discuss the defining characteristics of each and make entries in your composition book.
HW: Four Types of Angles & Comp Bk entries pdf word
3 questions to complete by Tues Jan 7
Tuesday January 7, 2014 *******************************
Applet #2 & 3
The sum of the angles of a triangle is 180 degrees? Can you explain why?
Record your findings and explanation in your composition book.
comp bk entry demos triangle sum pdf
Applet #4
What is an Exterior Angle of a Triangle and how does it relate to the Remote Interior Angles?
Record your findings and explanation in your composition book.
Comp Bk Questions for DEMO pdf word
HW: Exterior Angle & Triangle Sum pdf word
8 questions to complete by Wed Jan 8
Wednesday January 8, 2014 *****************************
Comp Book entry: Vocabulary and pictures for 1) exterior angles, 2) triangle sum property 3) Sum of Remote Interior angles is Exterior Angle 4) Two acute angles in a right triangle are complementary.
HW: Triangle Sum and Exterior Angles... solve for the angle measures using properties we have learned. See above for pdf and word docs.
APPLET: Vertical Angles and Linear Pairs
How are vertical angles formed? What is true about vertical angles.
Activity in Comp Book: Looking for patterns. Given a number of lines (n = 2, 3, 4, 5, 100, and n lines), that intersect at one concurrent point, A) draw a picture, B) How many angles do the intersecting line create C) What is the minimum number of angles that you must know in order to know all of the angles.
Thursday January 9, 2014 ********************************
COMP BOOK entries: Vocabulary for Two Lines Cut by Transversal
1) transversal 2) alternate side, 3) same side, 4) interior and exterior
Use the APPLET Vocabulary for Two Lines cut by a Transversal
MATCHING: symbols and their definitions PDF word
Statements and Reasons: Given the diagram what do you know to be true and why do you know it.
List as many facts as you can... Think about these questions to help populate the list.
1) What segments are congruent, parallel, perpendicular, bisected? WHY?
2) What angles are congruent, bisected? WHY?
3) What is the measure of each angle?
4) What types of triangles do you see. How do you know?
5) What is the quadrilateral? How do you know?
Friday January 10, 2014 **********************************
Comp Book Entries: Vocabulary and relationships for Parallel Lines Cut by a Transversal
Use APPLETS for 1) Corresponding Angles 2) Same-Side Angles 3) Alternate Side Angles
Monday January 6, 2014 *********************************
Today's Schedule
Advisory 8:15 - 9:15
1st 9:20 - 10:10
2nd 10:15 - 11:05
3rd 11:10 - 12:00
lunch 12:00 - 12:30
5th 12:35 - 1:25
6th 1:30 - 2:20
7th 2:25 - 3:15
Go to the GGB Applets page on my DP
Applet #1
Explore the defining characteristics of four types of angles
1) Complementary
2) Supplementary
3) Linear Pairs
4) Straight Angles
Discuss the defining characteristics of each and make entries in your composition book.
HW: Four Types of Angles & Comp Bk entries pdf word
3 questions to complete by Tues Jan 7
Tuesday January 7, 2014 *******************************
Applet #2 & 3
The sum of the angles of a triangle is 180 degrees? Can you explain why?
Record your findings and explanation in your composition book.
comp bk entry demos triangle sum pdf
Applet #4
What is an Exterior Angle of a Triangle and how does it relate to the Remote Interior Angles?
Record your findings and explanation in your composition book.
Comp Bk Questions for DEMO pdf word
HW: Exterior Angle & Triangle Sum pdf word
8 questions to complete by Wed Jan 8
Wednesday January 8, 2014 *****************************
Comp Book entry: Vocabulary and pictures for 1) exterior angles, 2) triangle sum property 3) Sum of Remote Interior angles is Exterior Angle 4) Two acute angles in a right triangle are complementary.
HW: Triangle Sum and Exterior Angles... solve for the angle measures using properties we have learned. See above for pdf and word docs.
APPLET: Vertical Angles and Linear Pairs
How are vertical angles formed? What is true about vertical angles.
Activity in Comp Book: Looking for patterns. Given a number of lines (n = 2, 3, 4, 5, 100, and n lines), that intersect at one concurrent point, A) draw a picture, B) How many angles do the intersecting line create C) What is the minimum number of angles that you must know in order to know all of the angles.
Thursday January 9, 2014 ********************************
COMP BOOK entries: Vocabulary for Two Lines Cut by Transversal
1) transversal 2) alternate side, 3) same side, 4) interior and exterior
Use the APPLET Vocabulary for Two Lines cut by a Transversal
MATCHING: symbols and their definitions PDF word
Statements and Reasons: Given the diagram what do you know to be true and why do you know it.
List as many facts as you can... Think about these questions to help populate the list.
1) What segments are congruent, parallel, perpendicular, bisected? WHY?
2) What angles are congruent, bisected? WHY?
3) What is the measure of each angle?
4) What types of triangles do you see. How do you know?
5) What is the quadrilateral? How do you know?
Friday January 10, 2014 **********************************
Comp Book Entries: Vocabulary and relationships for Parallel Lines Cut by a Transversal
Use APPLETS for 1) Corresponding Angles 2) Same-Side Angles 3) Alternate Side Angles