Ratios

Warm Up How are these two groups alike? Different? Group 1 Group 2

A ratio is a comparison of two different things. For every 3 oranges, there are 4 strawberries. For every 4 strawberries, there are 3 oranges.

Ratio A ratio is a comparison of two different things. There are three ways to write a ratio: With a colon 3:4 Use the word “to” 3 to 4 As a fraction 𝟑 𝟒

Part to Part One way to compare ratios is to compare a part to a part. The examples below compare part to part. For every 3 oranges, there are 4 strawberries. For every 4 strawberries, there are 3 oranges.

Part to Whole One way to compare ratios is to compare a part to a whole. The examples below compare part to whole. There are 3 oranges to 7 pieces of fruit. There are 4 strawberries to 7 pieces of fruit.

Whole to Part One way to compare ratios is to compare a whole to a part. The examples below compare whole to a part. There are 7 pieces of fruit to 3 oranges . There are 7 pieces of fruit to 4 strawberries

Example 1: Write the following ratios three different ways Example 1: Write the following ratios three different ways. Tell if they are part to part, part to whole or whole to part. 1). Ratio of blue shapes to yellow shapes. 2). Ratio of total shapes to yellow circles. 3). Ratio of green squares to total shapes. 2 to 3, 2:3 , 2/3 part to part 10 to 2, 10:2, 10/2 whole to part 5 to 1 is also acceptable 3 to 10, 3:10, 3/10 part to whole

Example 2: Kat is making fruit salad Example 2: Kat is making fruit salad. She uses 4 cups of watermelon, 1 cup of strawberries, 2 cups of blueberries and 3 cups of pineapple. We can use a picture to help us compare the ingredients. blueberries pineapple watermelon strawberries What is the ratio of blueberries to pineapple? What is the ratio of strawberries to total cups of fruit? 2 cups to 3 cups 1 cup to 10 cups

Example 2: Kat is making fruit salad Example 2: Kat is making fruit salad. She uses 4 cups of watermelon, 1 cup of strawberries, 2 cups of blueberries and 3 cups of pineapple. We can use also use a tape diagram to help us compare the ingredients. strawberries What is the ratio of blueberries to pineapple? What is the ratio of strawberries to total cups of fruit? blueberries 2 cups to 3 cups pineapple watermelon 1 cup to 10 cups Total fruit

7 to 11 part to part 18 to 11 whole to part 11 to 7 part to part Practice 1). Write the ratio 3 ways. Tell what type of ratio it is. Jack ate 7 hotdogs and Jill ate 11 hotdogs. a). Ratio of Jack’s hotdogs to Jill’s hotdogs. b). Ratio of hotdogs eaten to Jill’s hotdogs. c). Ratio of Jill’s hotdogs to Jack’s hotdogs. 7 to 11 part to part 18 to 11 whole to part 11 to 7 part to part

Practice 2). Mrs. Slate’s cat had 1 orange kitten, 2 black kittens and 3 gray kittens. What is the ratio of total kittens to gray kittens? Write the ratio 2 ways. 3). A recipe calls for 2 cups of sugar, 3 cups of flour and one cup of milk. Draw a tape diagram and answer the following questions. a). What is the ratio of milk to sugar? b). Does the ratio of sugar to flour compare part to part, part to whole or whole to part?

Practice 6 to 3, 6 :3 or 6/3 also can use 3 to 2 a). ½, 1:2 or 1 to 2 2). Mrs. Slate’s cat had 1 orange kitten, 2 black kittens and 3 gray kittens. What is the ratio of total kittens to gray kittens? Write the ratio 2 ways. 3). A recipe calls for 2 cups of sugar, 3 cups of flour and one cup of milk. Draw a tape diagram and answer the following questions. a). What is the ratio of milk to sugar? b). Does the ratio of sugar to flour compare part to part, part to whole or whole to part? 6 to 3, 6 :3 or 6/3 also can use 3 to 2 milk a). ½, 1:2 or 1 to 2 b). Part to part sugar sugar flour flour flour

When would you use a ratio in everyday life? Closure When would you use a ratio in everyday life?