Module 1: Solving Proportions

Module 1: Solving Proportions

Make sure you have something to write with and a notebook

Multiple Choice

Vocabulary Review:

What is the definition of a ratio?

• a comparison of two quantities by division

• a comparison of three unequal quantities

• a relationship of one quantity to another two quantities

• quantities that are equal

Multiple Choice

Vocabulary Review:

What is the definition of a unit rate?

• a comparison by multiplication

• a relationship stating two quantities are equal

• a rate where the second quantity being compared is one

• a rate where the second quantity being compared is larger than one

Multiple Choice

Vocabulary Review:

What is the definition of a proportional relationship?

• a relationship between two quantities where the ratio of one quantity to the other is not constant or equal

• a relationship between two quantities where the ratio of one quantity to the other is constant or equal

• an unequal relationship between quantities

• an equal fraction

Review: Cross Products

To Check if Ratios are Proportional or Equal

Poll

Are the following ratios equal?

 $\frac{2}{5}\ =\ \frac{6}{15}?$  

• yes

• no 

• not enough information 

Poll

Are the following ratios equal?

 $\frac{1}{4}=\frac{5}{16}?$  

• yes

• no

• not enough information

Poll

Are the following ratios equal?

 $\frac{3}{4}\ =\ \frac{9}{12}\ ?\$  

• yes

• no

• not enough information 

Learning Target:

I can solve a proportion with a missing value.

New Math Vocabulary

Proportion: A Proportion says that two ratios (or fractions) are equal

Looking at Proportions

To solve a proportion with a missing value we need to review how to solve one step equations

-Video-

Let's practice equations

2x = 10

Practice:

5x = 15

^{-Solving Proportions Video-}

Practice: Solve for x

 $\frac{2}{5}\ =\ \frac{x}{10}$  

Practice: Solve for x

 $\frac{1}{6}\ =\ \frac{2}{x}$