equivalent ratios. equivalent ratios: i can make tables of equivalent ratios. i can find missing...

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Equivalent Ratios

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Page 1: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Equivalent Ratios

Page 2: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Equivalent ratios:

• I can make tables of equivalent ratios.

• I can find missing values in tables of equivalent ratios.

Page 3: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Julie swims 1 lap for every 3 laps that Joe swims. Eliza made a table showing this relationship:

Is Eliza correct?

Julie 1 4 7 10

Joe 3 6 9 12

Page 4: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios
Page 5: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

BooksMiguel has 3 fiction books and 6 nonfiction books to donate to the community center. He wants to package them so that there are an equal number of fiction and nonfiction books in each group. He also wants to have as many packages as possible. How many books are in each group?

Use 3 red counters to represent the fiction books. Use 6 yellow counters to represent the nonfiction books.

Determine the smallest possible equal-size groups. For every ___________ fiction book

there are _________ nonfiction books.

Page 6: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

More BooksMaria is collection books. She wants to make packages that have 3

fiction books and 4 nonfiction books.

Show this ratio with your counters.

Page 7: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

More BooksMaria is collection books. She wants to make packages that have 3

fiction books and 4 nonfiction books.

Show this ratio with your counters.

She already has 9 fiction books. How many nonfiction books will she need?

Create a ratio table:Fiction 3 6

Nonfiction 4 8

Page 8: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

More BooksMaria is collection books. She wants to make packages that have 3

fiction books and 4 nonfiction books.

Read across the top until you reach 9 Fiction books. Maria needs _____nonfiction books

She already has 9 fiction books. How many nonfiction books will she need?

Fiction 3 6 9 12 15 18 21 24 27

Nonfiction 4 8 12 16 20 24 28 32 36

Page 9: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Sports JerseysSanjay has 27 jerseys. Divide them into two groups so that for every 4 red jerseys, there are 5 blue jerseys.

Red 4 8

Blue 5 10

Total 9

Page 10: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Sports JerseysSanjay has 27 jerseys. Divide them into two groups so that for every 4 red jerseys, there are 5 blue jerseys.

Red 4 8

Blue 5 10

Total 9

Read across both rows until you find two numbers with a sum of 27.

Page 11: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Sports JerseysSanjay has 27 jerseys. Divide them into two groups so that for every 4 red jerseys, there are 5 blue jerseys.

Red 4 8

Blue 5 10

Total 9

Read across both rows until you find two numbers with a sum of 27.There are _______ red jerseys and _____ blue jerseys.

Page 12: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Sports JerseysSanjay has 27 jerseys. Divide them into two groups so that for every 4 red jerseys, there are 5 blue jerseys.

Red 4 8

Blue 5 10

Total 9

Read across both rows until you find two numbers with a sum of 27.There are _______ red jerseys and _____ blue jerseys.

Draw a picture to check your answer.

Page 13: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Eliza is not correct.Where did she go wrong? What

do think she did?

Julie 1 4 7 10

Joe 3 6 9 12

Back to our swimmers

Page 14: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Eliza added 3 each time.

Julie 1 4 7 10

Joe 3 6 9 12

Page 15: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Eliza added 3 (+3) each time rather than multiplying by 3 (x3)

The correct table is:

Julie 1 4 7 10

Joe 3 12 21 30

Page 16: Equivalent Ratios. Equivalent ratios: I can make tables of equivalent ratios. I can find missing values in tables of equivalent ratios

Cost of PotatoesPounds of Potatoes Cost

2 $3.00

4 $6.00

6 ?8 ?

What is the ratio?