Part I and II are due tomorrow!
Part III will be worked on in class.
Wednesday, December 3, 2008
Monday, December 1, 2008
Holiday Madne$$ project
PART 1 is due on Wednesday. Parts 2 and 3 will be worked on in class. The entire project is due on Thursday! Please bring magazines, catalogs, and print advertisements on Wednesday.
December 1, 2008
HOLIDAY MADNE$$
Proportions, Percents and Credit Cards
The 3 Parts of this project will be due on Thursday, December 4, 2008.
PART 1: Credit Card
Create a credit card that is proportional to a real credit card. Measure the width and length of a card and apply a scale factor to figure out a new size. It should be carefully and colorfully designed.
PART 2: Making Purchases
Look through magazines, catalogues, and on-line shopping sits to find stuff you would like to have. “Spend” up to $10,000 on your new credit card.
To make a purchase, simply cut the item out and record the item and its price on the tally sheet on the back of your envelope. Put the item in the envelope.
Example:
Item Price Price + Tax (8%)
Diamond tiara $1,049.00 $1,132.92
Snickers Bar $0.65 $0.65
Williams Sonoma Toaster $42.00 $45.36
PART 3: The Bottom Line
Imagine that you have a $3,000 credit card bill and that you are charged 1.5% interest each month on the unpaid balance. Consider how your debt would change if you paid $50 each month.
Your debt:
Month 1 Month 1
Initial debt $3,000
1st payment - $50
$2,950
Month 2 Month 2
$2,950.00
+1.5% + $44.25
$2,994.25
2nd payment - $50.00
$2,944.25
Month 3 Month 3
+1.5%
3rd payment
Month 4 Month 4
+1.5%
4th payment
December 1, 2008
HOLIDAY MADNE$$
Proportions, Percents and Credit Cards
The 3 Parts of this project will be due on Thursday, December 4, 2008.
PART 1: Credit Card
Create a credit card that is proportional to a real credit card. Measure the width and length of a card and apply a scale factor to figure out a new size. It should be carefully and colorfully designed.
PART 2: Making Purchases
Look through magazines, catalogues, and on-line shopping sits to find stuff you would like to have. “Spend” up to $10,000 on your new credit card.
To make a purchase, simply cut the item out and record the item and its price on the tally sheet on the back of your envelope. Put the item in the envelope.
Example:
Item Price Price + Tax (8%)
Diamond tiara $1,049.00 $1,132.92
Snickers Bar $0.65 $0.65
Williams Sonoma Toaster $42.00 $45.36
PART 3: The Bottom Line
Imagine that you have a $3,000 credit card bill and that you are charged 1.5% interest each month on the unpaid balance. Consider how your debt would change if you paid $50 each month.
Your debt:
Month 1 Month 1
Initial debt $3,000
1st payment - $50
$2,950
Month 2 Month 2
$2,950.00
+1.5% + $44.25
$2,994.25
2nd payment - $50.00
$2,944.25
Month 3 Month 3
+1.5%
3rd payment
Month 4 Month 4
+1.5%
4th payment
December 1st POW
POW - Due December 7th - Email your work and answer to me at Skanchwala@bmsonline.org
Option 1:
On Black Friday, Denise woke up at 3am to make sure she was able to get to the store for the “early bird” special – 60% off all clothing in the store! If Denise paid $50.64 for a dress after 5.5% sales tax, what was the original price of the dress?
Option 2:
Sally has a coupon that she can use in addition to the sales at a particular store. Excited to stock up, she immediately finds two sweaters that are each 30% off and decides to use her “buy one get one half off” coupon to save even more. If the two sweaters were originally the same price, what single percent discount would have resulted in the same savings as Sally’s combined discount?
Option 3:
On Cyber Monday, Bill is able to get 20% off of TVs at his favorite online store. If one TV was originally $699.99 and the other was 749.99, what is the positive difference between the two prices after the discount is applied?
Option 1:
On Black Friday, Denise woke up at 3am to make sure she was able to get to the store for the “early bird” special – 60% off all clothing in the store! If Denise paid $50.64 for a dress after 5.5% sales tax, what was the original price of the dress?
Option 2:
Sally has a coupon that she can use in addition to the sales at a particular store. Excited to stock up, she immediately finds two sweaters that are each 30% off and decides to use her “buy one get one half off” coupon to save even more. If the two sweaters were originally the same price, what single percent discount would have resulted in the same savings as Sally’s combined discount?
Option 3:
On Cyber Monday, Bill is able to get 20% off of TVs at his favorite online store. If one TV was originally $699.99 and the other was 749.99, what is the positive difference between the two prices after the discount is applied?
Monday, November 24, 2008
Holiday Homework
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.
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.
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)
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