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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 ratioTop Custom Squad Costume Harley Harley Converse Shoes Converse Shoes Quinn Quinn High Harley Joker Suicide Quinn Harley Sneaker Quinn wxq87H15 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

5 Us Black 10 UK Quality Leather Fit Wide Bally Vintage Rugged Sole Oxford Oxfords Black 7 Europe 41 Shoes 90s Faded 5 women Nubuck Eur 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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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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  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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Vintage 1990s faded black lace-up shoe from Bally. The upper is made of nubuck leather, the inner is also lined with leather. The lace-up shoes has a leather insole and a rubber rugged sole.



High quality from France



Comfortable and wide fit







In very good condition - ready to wear!







Every item is authentic vintage, one-of-a-kind . You will receive the exact item shown in the photos. There may be slight color variation depending on your monitor display.







Label: Bally, made in France



Marked Size: -



Estimated Size: Us women 10.5 Us men 8, UK 7.5 , Eur 41



Fabric: nubuck leather, lining - leather



Color: Black



Condition: Gently used . Has couple of very small cosmetic scratches, practically unnoticeable







If you want to be sure they will fit you we suggest you to measure shoes that fit you well and compare with these measurements:







Insole heel to toe: 10 1/8 " / 25.7 cm



Outsole: 10 3/4 " / 27.3



Width at ball of foot ( outside ): 3 3/4 " / 9.5 cm







SKU 1222

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

Nova Online:  Special Effects.


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© Bernadette Dvorscak