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11Three Apples, Five Oranges Unit

Math VoCabulary ratio: a comparison of two numbers

Objective: Learn about ratios and rates. Have students answer the four questions

There are seven basketballs and four soccer balls. Answer the questions.

about the ratios of basketballs and soccer

balls. .
Refer to

What is the ratio of basketballs to soccer balls? Different amounts can be compared with

basketballs = 7 Read the ratio 7 as ratios. The following are types of
soccer balls 4 4
seven to four.
comparisons of quantity a and quantity b.
What is the ratio of soccer balls to basketballs?

soccer balls = 4 Part to part: a to b, a : b, b
basketballs 7 a

What is the ratio of basketballs to total number of balls? Part to whole: a to a b, a : a b, a
ab
basketballs = 7 ab
total number of balls 11 Whole to part: a b to a, a b : a, a

What is the ratio of total number of balls to basketballs? In the example, a 7 and b 4 and

total number of balls = 11 a b 11.
basketballs 7

Two amounts can be compared using ratios.

Part to part 7 to 4, 7 4, 7 (Basketballs to soccer balls)
4
Part to whole
Whole to part 4 to 7, 4 7, 4 (Soccer balls to basketballs)
7

7 to 11, 7 11, 7 (Basketballs to total number of balls)
11

11 to 7, 11 7, 11 (Total number of balls to basketballs)
7

11. Three Apples, Five Oranges 93

To compare all of the items to a specific item:

Step 1: Add up all of the items.

Step 2: Divide by the amount of the specific item.

Example: If you have 2 apples, 3 oranges and 1 grape, what is the ratio of fruit to apples?

Step 1: 2 apples 3 oranges 1 grape 6 fruit

Step 2: 6 fruit
2 apples

fruit : apples (2 3 1) 6
2 2

6A Unit 11 155
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