1.) Finish 4.4 page 46
2.) The ACE assignment that was due today is now due on Monday, Dec 1
3.) Project - Stretch/Shrink due Monday
4.) POW - this was due today. Please email me if you haven't already.
Monday, November 24, 2008
Thursday, November 20, 2008
More Scaling
1.) Page 51, #10-14 and 23 - due Monday
2.) Pow - due Monday
3.) Look over Project description (see previous post). You will be given a revised description on Monday.
2.) Pow - due Monday
3.) Look over Project description (see previous post). You will be given a revised description on Monday.
Wednesday, November 19, 2008
Stretching and Shrinking Unit Project
Name ________________ Date ________
7th Grade Stretching and Shrinking Performances of Understanding
You will complete the following 3 tasks to demonstrate your understanding of the Stretching and Shrinking unit, and specifically of these 3 concepts:
1. Similarity
2. Scale factor
3. Setting up and solving proportions.
Refer to the link http://connectedmath.msu.edu/parents/ss/help/7/stretching/concept.pdf and your book for problems that we have done in class and homework for help.
All of your must be completed neatly on a poster. Be ready to present your work after Thanksgiving Holiday, i.e. December 1st, 2008.
You will be assessed on your knowledge and understanding of the concepts we have studied in this unit as well as your presentation. See checklist below each task for point values.
Your presentation will be assessed on:
_______ Creativity (4 points)
_______ Preparedness (4 points)
_______ Neatness (4 points)
_______ Ability to communicate math concepts (4 points)
_______ Visual Elements (4 points)
1.) Pick any 2-dimensional figure. Draw a model (either enlarged or reduced) of that figure. The model must be mathematically similar to the original figure. You must be able to present the original figure and the model, showing the mathematical similarities that exist between them visually.
________ Original figure and model are shown (2 points)
________ Original figure and model are mathematically similar (5 points)
2.) Find 3 pairs of figures that are mathematically similar to each other in your everyday life. Take pictures of them and write descriptions proving how they are mathematically similar. You may send digital copies of the pictures to me if you cannot print them out. My email is Skanchwala@bmsonline.org. OR you may draw the 3 pairs of figures if you do not have access to a camera.
__________ 3 pairs of figures (6 pictures total) are shown (3 points)
__________ Description showing each pair is mathematically similar. Include scale factor and proportions to show this. (10 points)
3.) Pick a tall building or structure in your neighborhood or town. Using the shadow or mirror method, find the height of the building by setting up two similar triangles. Draw them out and set up a proportion to show what the height of the building would be according to your method.
_________ Building is identified and represented either by a picture or drawing (2 points)
_________ Two similar triangles are drawn to represent proportional heights (2 points)
__________ Proportion is set up correctly and solved using either the scale factor method of cross-multiplication to find a close approximation of the building’s or tall structure’s height (5 points)
4.) Using an atlas or a map from the Internet, pick any place in the world that you would like to visit, and using the map scale, calculate the distance from San Francisco, California to the destination of your choice. Include the map and calculation on your poster.
__________ Map used is on poster (2 points)
__________ Calculations are shown to figure out approximate distance (5 points)
7th Grade Stretching and Shrinking Performances of Understanding
You will complete the following 3 tasks to demonstrate your understanding of the Stretching and Shrinking unit, and specifically of these 3 concepts:
1. Similarity
2. Scale factor
3. Setting up and solving proportions.
Refer to the link http://connectedmath.msu.edu/parents/ss/help/7/stretching/concept.pdf and your book for problems that we have done in class and homework for help.
All of your must be completed neatly on a poster. Be ready to present your work after Thanksgiving Holiday, i.e. December 1st, 2008.
You will be assessed on your knowledge and understanding of the concepts we have studied in this unit as well as your presentation. See checklist below each task for point values.
Your presentation will be assessed on:
_______ Creativity (4 points)
_______ Preparedness (4 points)
_______ Neatness (4 points)
_______ Ability to communicate math concepts (4 points)
_______ Visual Elements (4 points)
1.) Pick any 2-dimensional figure. Draw a model (either enlarged or reduced) of that figure. The model must be mathematically similar to the original figure. You must be able to present the original figure and the model, showing the mathematical similarities that exist between them visually.
________ Original figure and model are shown (2 points)
________ Original figure and model are mathematically similar (5 points)
2.) Find 3 pairs of figures that are mathematically similar to each other in your everyday life. Take pictures of them and write descriptions proving how they are mathematically similar. You may send digital copies of the pictures to me if you cannot print them out. My email is Skanchwala@bmsonline.org. OR you may draw the 3 pairs of figures if you do not have access to a camera.
__________ 3 pairs of figures (6 pictures total) are shown (3 points)
__________ Description showing each pair is mathematically similar. Include scale factor and proportions to show this. (10 points)
3.) Pick a tall building or structure in your neighborhood or town. Using the shadow or mirror method, find the height of the building by setting up two similar triangles. Draw them out and set up a proportion to show what the height of the building would be according to your method.
_________ Building is identified and represented either by a picture or drawing (2 points)
_________ Two similar triangles are drawn to represent proportional heights (2 points)
__________ Proportion is set up correctly and solved using either the scale factor method of cross-multiplication to find a close approximation of the building’s or tall structure’s height (5 points)
4.) Using an atlas or a map from the Internet, pick any place in the world that you would like to visit, and using the map scale, calculate the distance from San Francisco, California to the destination of your choice. Include the map and calculation on your poster.
__________ Map used is on poster (2 points)
__________ Calculations are shown to figure out approximate distance (5 points)
Monday, November 17, 2008
Scaling up
1.) ACE starts on Page 47
#1, #8 and #15
2.) Check the blog and make sure you have completed all assignments and POWs. I will be collecting your notebooks on Wednesday.
DUE WEDNESDAY
#1, #8 and #15
2.) Check the blog and make sure you have completed all assignments and POWs. I will be collecting your notebooks on Wednesday.
DUE WEDNESDAY
November 17 POW
In efforts to reduce, reuse and recycle, this week's POW will be electronic only. Please complete your work either in a document and email it to me, OR if you can't show your work while typing, you can complete it on scratch paper, and turn it in next Monday. Email or turn in by Monday, Nobember 24th.
Name _______________________________________ November 17, 2008
Choose one option. Please show all work on the back or on a separate sheet of paper.
OPTION 1:
a. Are a square foot and a square yard similar? If so, what is the scale factor from a square foot to a square yard? What is the scale factor from a square yard to a square foot?
b. How many square feet are in a square yard? Explain your reasoning.
c. The area of a room is 28 square yards. What is the area of the room in square feet?
d. The area of a backyard is 1800 square feet. What is the area of the backyard in square yards?
e. Compare a square inch with a square foot and a square yard. What is the scale factor from a square inch to a square foot? What is the scale factor from a square inch to a square yard?
OPTION 2:
Area is often measured in square centimeters and square meters.
a. Are a square centimeter and a square meter similar? If so, what is the scale factor from a square centimeter to a square meter? What is the scale factor from a square meter to a square centimeter?
b. How many square centimeters are in a square meter? Explain your reasoning.
c. The area of a room is 28 square meters. What is the area of the room in square centimeters?
d. The area of a painting is 1800 square centimeters. What is the area of the painting in square meters?
Name _______________________________________ November 17, 2008
Choose one option. Please show all work on the back or on a separate sheet of paper.
OPTION 1:
a. Are a square foot and a square yard similar? If so, what is the scale factor from a square foot to a square yard? What is the scale factor from a square yard to a square foot?
b. How many square feet are in a square yard? Explain your reasoning.
c. The area of a room is 28 square yards. What is the area of the room in square feet?
d. The area of a backyard is 1800 square feet. What is the area of the backyard in square yards?
e. Compare a square inch with a square foot and a square yard. What is the scale factor from a square inch to a square foot? What is the scale factor from a square inch to a square yard?
OPTION 2:
Area is often measured in square centimeters and square meters.
a. Are a square centimeter and a square meter similar? If so, what is the scale factor from a square centimeter to a square meter? What is the scale factor from a square meter to a square centimeter?
b. How many square centimeters are in a square meter? Explain your reasoning.
c. The area of a room is 28 square meters. What is the area of the room in square centimeters?
d. The area of a painting is 1800 square centimeters. What is the area of the painting in square meters?
Friday, November 14, 2008
Study for Quiz
There will be a check up quiz on Monday. Please study the following:
1.) How do you know if two figures are similar?
2.) What is the definition of mathematical similarity?
3.) How do you find the missing length of a side, if given other side lengths and another similar figure?
4.) What is a scale factor and how can it help in determining a missing length?
5.) How can you use similar triangles in the real world?
1.) How do you know if two figures are similar?
2.) What is the definition of mathematical similarity?
3.) How do you find the missing length of a side, if given other side lengths and another similar figure?
4.) What is a scale factor and how can it help in determining a missing length?
5.) How can you use similar triangles in the real world?
Thursday, November 13, 2008
Wednesday, November 12, 2008
Using Mirrors to find Missing Heights
1.) Worksheet - Read front and do back
2.) Write 2 questions that you would like to ask Rex Evans about the economy
2.) Write 2 questions that you would like to ask Rex Evans about the economy
Tuesday, November 11, 2008
Credit Crisis Play
Please read the following Play before Thursday. Our guest speaker, Rex Evans, will be covering these topics:
http://faculty.fuqua.duke.edu/~charvey/Crisis/Credit_Crisis_Play.pdf
Record at least 2 questions that you have from this play or about the current financial situation that you would like to ask him.
http://faculty.fuqua.duke.edu/~charvey/Crisis/Credit_Crisis_Play.pdf
Record at least 2 questions that you have from this play or about the current financial situation that you would like to ask him.
Credit Crisis Play
Please read the following Play before Thursday. Our guest speaker, Rex Evans, will be covering these topics:
http://faculty.fuqua.duke.edu/~charvey/Crisis/Credit_Crisis_Play.pdf
Record any questions that you have from this play or about the current financial situation that you would like to ask him.
http://faculty.fuqua.duke.edu/~charvey/Crisis/Credit_Crisis_Play.pdf
Record any questions that you have from this play or about the current financial situation that you would like to ask him.
Monday, November 10, 2008
This week's POW
Only one option this week. Due Monday!
Find the pattern:
3 * 4 → 5
4 * 7 → 1
8 * 4 → 0
1 * 2 → 9
The challenge is to discover how the third number is obtained from the first two numbers. If you know the pattern, then you will be able to complete these statements:
5 * 5 → ?
4 * 1 → ?
6 * 2 → ?
Find the pattern:
3 * 4 → 5
4 * 7 → 1
8 * 4 → 0
1 * 2 → 9
The challenge is to discover how the third number is obtained from the first two numbers. If you know the pattern, then you will be able to complete these statements:
5 * 5 → ?
4 * 1 → ?
6 * 2 → ?
Using shadows to figure out heights
ACE
Option 1:
page 64 - #2-4, 8 and 10
Option 2:
page 65 - #4, 6, 8, 10, and 16
Due Wednesday
Option 1:
page 64 - #2-4, 8 and 10
Option 2:
page 65 - #4, 6, 8, 10, and 16
Due Wednesday
Monday, November 3, 2008
This week's POW
Due November 10th:
Name _______________________________________ November 3, 2008
Choose one option. Please show all work on the back or on a separate sheet of paper.
OPTION 1:
The exclamation point (!) is also used as a mathematical symbol, as in 5! (read as 5 factorial), in which 5! = 5 x 4 x 3 x 2 x 1 = 120 and 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. Find the quotient:
15! / 13!
OPTION 2:
My parents’ pizza restaurant, Rosati’s Pizza, has 10 different toppings for its cheese pizza: mushrooms, peppers, pepperoni, spinach, onion, anchovies, pineapple, olives, beef, and garlic. How many different kinds of pizza can be made by varying the combination of toppings? (Hint: Try the same kind of problem with 1 topping, then 2 toppings, and so on, and look for a pattern.)
Name _______________________________________ November 3, 2008
Choose one option. Please show all work on the back or on a separate sheet of paper.
OPTION 1:
The exclamation point (!) is also used as a mathematical symbol, as in 5! (read as 5 factorial), in which 5! = 5 x 4 x 3 x 2 x 1 = 120 and 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. Find the quotient:
15! / 13!
OPTION 2:
My parents’ pizza restaurant, Rosati’s Pizza, has 10 different toppings for its cheese pizza: mushrooms, peppers, pepperoni, spinach, onion, anchovies, pineapple, olives, beef, and garlic. How many different kinds of pizza can be made by varying the combination of toppings? (Hint: Try the same kind of problem with 1 topping, then 2 toppings, and so on, and look for a pattern.)
Subscribe to:
Posts (Atom)
