If you know the ratio of students to teachers is 3 to 2 and you know there are 12 teachers, is there a way to figure out the number of students?

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Presentation transcript:

If you know the ratio of students to teachers is 3 to 2 and you know there are 12 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 double number line.

Let’s Review A ratio can have equivalent ratios just like a fraction can have equivalent fractions. 2 : 1 x3 x3 6 : 3

A Common Mistake The ratio of students to teachers is 5 to 1. There are 15 teachers. 5 1 wrong line! students teachers 15 ?

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?

Books to DVDs 3 to 2 15 books ? DVDS Books to DVDs 3 to 2 15 books ? DVDS Books Andy has 15 books and 10 DVDs DVDs

Core Lesson x 5 x 5 multiplicative reasoning additive reasoning Books DVDs

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

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

Extension Activities students teachers Fill in the missing values of the double number line. Write a paragraph explaining what ratio properties were used to create and fill in the lines.

Extension Activities Annie bakes cookies and cupcakes in a ratio of 4 to 3 for her gift boxes. Her school needs 35 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.

Quick Quiz George buys oranges and apples at a ratio of 3 :4 for his party. If he has 15 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 20 cupcakes, how many cookies did she bake that day?