A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

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If you know the ratio of students to teachers is 5 to 1 and you know there are 15 teachers, is there a way to figure out the number of students?

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If you know the ratio of students to teachers is 5 to 1 and you know there are 15 teachers, is there a way to figure out the number of students?. In this lesson you will learn to solve for missing values in a ratio problem by setting up a table. . - PowerPoint PPT Presentation

Transcript of A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Page 1: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

If you know the ratio of students to teachers is 5 to 1 and you know there are 15 teachers, is there a way to figure out

the number of students?

Page 2: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

In this lesson you will learn to solve for missing values in a ratio problem by setting up a

table.

Page 3: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Let’s Review

A ratio can have equivalent ratios just like a fraction can have equivalent

fractions.

2 : 1x3 x3 6 : 3

Page 4: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

A Common Mistake

The ratio of students to teachers is 5 to 1. There are 15 teachers.

5 1

wrong column!

students teachers

15 ?

Page 5: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Core Lesson

Andy has a ratio of books to DVDS of 3 : 2 in his room. If he has 15 books, how many

DVDs does he have?

How can I use the ratio to help set up

and solve?

Page 6: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Core Lesson

Books to DVDs3 to 2

15 books? DVDS

Books DVDS3 2

6 49 6

12 815 10Andy has 15 books

and 10 DVDs.

+3 +2+3 +2+3 +2+3 +2

Page 7: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Core Lesson

+3+3+3+3

Books DVDS3 2

6 49 6

12 815 10

+2+2+2+2

x 5 x 5 multiplicative reasoning

additive reasoning

Page 8: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

In this lesson you have learned to solve for missing values in a ratio problem by setting up a

table.

Page 9: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Guided Practice

Anita collects shells and stones in a ratio of 1 : 2. If she has a total of 8 shells, how many stones does she have?

Page 10: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Extension Activities

1students teachers

15 3 10

5

Fill in the missing values of the table.

Write a paragraph explaining what ratio properties were

used to create and fill in the table.

Page 11: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Extension ActivitiesAnnie bakes cookies and cupcakes in a ratio of 5 to 4 for her gift boxes. Her school needs 36 desserts to sell in a bake sale.

How many cupcakes will she bake?

How many cookies will she bake?

Create an illustration and a table to support your work.

Page 12: A ratio can have equivalent ratios just like a fraction can have equivalent fractions.

Quick Quiz

George buys oranges and apples at a ratio of 2 :5 for his party. If he has 14 oranges, how many apples does he have?Kelly bakes cupcakes and cookies in a ratio of 5 to 3 for her bakery. If on any given day she bakes 18 cookies, how many cupcakes did she bake that day?