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Proportion

by

Bernadette Dvorscak


This lesson was created as a part of the Sandals Print Leather Thong Sandales Greek Grecques Thong Sandals Eurydike Sandal Thong Sandals Animal Ankle Sandals Brown xUwaUYqPS website and is hosted by the 100 sole with Wool Felt Feltiness handmade Slippers leather wqXwzgt
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This lesson is for students in grades 5 through 7

 The objectives are:

A ratioHeel M 90s 5 BROWN Penny Loafer era High 7 shoes Pumps women Vintage 7YS5wOqS a comparison of two quantities. The ratio of dogs to cats is 3 to 2.  The ratio of gerbils to guinea pigs is 9 to 6.  A proportion is a comparison of two quantities.  The ratio of 3 to 2 is the same as the ratio of 9 to 6.  


          

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 For every three animals of one species there are two of the other species. These two ratios are equal to each other:  This is a proportion.

3/2 = 9/6

Hey! That look's like a pair of equivalent fractions.  Right, fractions are rational numbers.  When two fractions represent the same amount, they are equivalent fractions.  Two ratios that are equivalent to each other are a proportion.

How do you know if two ratios are a proportion?

5 x 12 = 60         8 x 12 = 96     therefore 5/8 = 60/96

60 / 12 = 5          96 / 12 = 8     therefore 5/8 = 60/96

7:3 = 28:12

Multiply 7 by 12.   7 x 12 = 84

Multiply 3 x 28.     3 x 28 = 84

Both products are 84, therefore 7:3 = 28:12

What if one term in a proportion is missing?  How can you find the missing term?

4/9 = 96/?

4 x 24 = 96  therefore 9 x 24 = 216.  

4/9 = 96/216

27/5 = 8/?

27 x = 5 . 8

27 x = 40

x = 40/27

x = 1.48

There are many real-life applications for proportions. Some of these are:

In Activity 1, you will find the reduced scale for buildings, bridges, and tunnels.  For a printable worksheet, click here.

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Activity 1

womens slippers shoes slippers converse converse top 6 bling Converse converse inspired tennis 417 converse rainbow 8 high custom sneaker In this activity, you will convert the actual height of skyscrapers or the actual length of bridges and tunnels into a reduced scale of inches. The scale you will use is 50 feet  = 1inch; this is the ratio of 50/1.  Round all answers to the nearest hundredth.  To find the actual height or length, click on the name of the structure. Remember to keep the order of the terms the same in both proportions.  

Name of structure

Actual height or length

Scale 

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Bonus:  Using the data for either skyscrapers, bridges, or tunnels, create a graph comparing all the structures in the category.  

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In Activity 2, you will either increase or decrease the amounts of a selected set of ingredients for a recipe.  For a printable worksheet, click here.

 Activity 2

Use the recipe for Colors Coral Rhinestones Flops Flops Summer Flops Wedding Flip Beach Flops Bridal Flops Beach Flip Flip Bridesmaids Flip Flip wIBrIv and determine the amount of each of the given ingredients you will need to make the quantities that are indicated.

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Number of Servings

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3

7

15

29

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Eggs        
Cherry tomatoes        
Nicoise olives        
Garlic        

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Other Resources

Other math problems that involve proportion may be found at the following sites.  

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  Use proportions to determine how the height of a human can jump compared to the height a squirrel can jump 

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  Find out how long it will take the math teacher to bicycle the width of WisconsinFringe 1 8 Cowboy Vintage Leather Boots Ankle Women's M 2 Western Laredo qEOTFZ 

  Compare cat steps to dog steps

  Use proportion to compare the volume of two objects.

  Use proportion to find data about continental drift

The following unit deals with scale, ratio, and proportion through model building.

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Will fit US Womens sizes 6-8.



Double soles are done in a color called "Black Sparkle". Black yarn with black metallic threads. Caron Party Yarn. Very soft 100% Acrylic yarn.



Sides are also doubled in a yarn called "Rainbow". A variegated yarn with colors of pink, purple, orange, yellow, green and blue. Lion Brand Color Waves Yarn. Also soft acrylic.



Stripes and toes are done in a color called "Black Starlette Sparkle". A beautiful black yarn with twinkly metallic threads in pink, blue, gold and silver. Mary Maxim Starlette Sparkle yarn. Also soft acrylic.



Uppers and tongues are done in "Rainbow".



8 eyelets for shoelaces. Finished with twinkly rainbow shoelaces in coordinating colors! Gold sequined appliqued stars! I recommend hand washing these slippers. The stars are attached with a very strong washable fabric glue and will not come off with washing. They will not shrink at all. These are ready to ship and come wrapped in a pretty tissue paper with a tennis shoe sticker. Ready for gift giving! I also include as a free gift a Downy Unstoppable sachet in a cute little mesh bag. If you are sensitive to fragrance leave me a note and I can omit it. I can also make any of my slippers "non-slip"...just leave me a note at check out! I put a lot of love and care into my slippers and hope you will enjoy them for years to come :) I also offer free domestic shipping! Thanks for stopping by, Trudi

For information and/or activities on special effects go to the following sites: 

Nova Online:  Special Effects.


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© Bernadette Dvorscak