1. Equivalent Ratios

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

3. Eliza made a table showing this relationship:
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

5. Books
Miguel 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.

6. More Books
Maria is collection books. She wants to make packages that have 3 fiction books and 4 nonfiction books.
Show this ratio with your counters.

7. More Books She already has 9 fiction books.
Maria 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

8. More Books Read across the top until you reach 9 Fiction books.
Maria is collection books. She wants to make packages that have 3 fiction books and 4 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 16 20 28 32 36
Read across the top until you reach 9 Fiction books.
Maria needs _____nonfiction books

9. Sports Jerseys Red Blue Total
Sanjay 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

10. Sports Jerseys Red Blue Total
Sanjay 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.

11. Sports Jerseys Red Blue Total
Sanjay 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.

12. Draw a picture to check your answer.
Sports Jerseys
Sanjay 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.

13. Where did she go wrong? What do think she did?
Back to our swimmers
Julie 1 4 7 10
Joe 3 6 9 12
Eliza is not correct.
Where did she go wrong? What do think she did?

14. Eliza added 3 each time.
Julie 1 4 7 10
Joe 3 6 9 12

15. 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

16. Cost of Potatoes
Pounds of Potatoes
Cost 2
$3.00 4
$6.00 6 ? 8
What is the ratio?