Express each fraction as a decimal and then find their sum.

, , ,

COURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

12

14

18

18

0.5 + 0.25 + 0.125 + 0.125 = 1

7-1

RatiosRatios

IntroductionIntroduction

Chapter 7 Ratios, Proportions, and PercentsChapter 7 Ratios, Proportions, and Percents

7-1

In Chapter 1, you used multiplication and division to solve problems involving decimals.

What You’ve Learned

In chapter 5, you solved equations with fractions.

In Chapter 6, you used multiplication and division to solve problems involving fractions and mixed numbers.

IntroductionIntroduction

Chapter 7 Ratios, Proportions, and PercentsChapter 7 Ratios, Proportions, and Percents

6-4

In this chapter, you will use multiplication and division to solve problems involving ratios and rates.

What You’ll Learn Next

You will use ratios to describe proportional situations.

You will use proportions to solve problems, including problems involving scale drawings.

You will find and estimate percents and use percents to draw circle graphs.

COURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

RatiosRatios

7-1

4.1.6 A.4 Explore the use of ratios and proportions in a variety of situations.

pg 306-309 pg 96-97 Daily Notetaking Guide

Materials:

Standards:

COURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

RatiosRatios

7-1

In Lesson 7-1 you will learn to compare real-world quantities.

What You’ll Learn

Why Learn This?

In recipes, the amounts if the ingredients are related to each other. You can use ratios to compare these amounts.

COURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

RatiosRatios

(For help, go to Lesson 4-5.)

Vocabulary Review How do you know when a fraction is in simplest form?

Check Skills You’ll Need

7-1

A fraction is in simplest form when the numerator and denominator have only a common factor of 1.

RatiosRatiosCOURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

Ratio - is a comparison of two numbers by division

Vocabulary:

7-1

Vocabulary

Under Division

Equivalent Ratio - ratios that name the same numbers

RatiosRatiosCOURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

The table below shows three ways to write a ratio of cups of party mix to cups of pretzels. All three ratios are read “six to two”

Quick Check

7-1

WAYS TO WRITE A RATIO

STATEMENT IN WORDS WITH A SYMBOL AS A FRACTION

6 cups of party mix to 2 cups of pretzels 6 to 2 6 : 262

During a school trip, there are 3 teachers and 25

students on each bus. Write each ratio in three ways.

RatiosRatiosCOURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

a. teachers to students

There are 3 teachers and 25 students.

b. students to teachers

There are 25 students and 3 teachers.

students to teachers 25 to 3 or 25 : 3 or 253

teachers to students 3 to 25 or 3 : 25 or 325

Quick Check

7-1

RatiosRatiosCOURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

Write two different ratios equivalent to 24 : 8.

Two ratios equal to 24 : 8 are 3 : 1 and 12 : 4.

Divide eachterm by 8.

24 : 8

3 : 1

÷ 8 ÷ 8Divide each term by 2.

24 : 8

12 : 4

÷ 2 ÷ 2

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Quick Check

RatiosRatiosCOURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

Write each ratio in simplest form.

a. 121 to 11

In simplest form, the ratio 121 to 11 is 11 to 1.

b. 28 : 16

In simplest form, the ratio 28 : 16 is 7 : 4.

121 to 11

11 to 1

÷ 11 ÷ 11

28 : 16

7 : 4

÷ 4 ÷ 4

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Quick Check

COURSE 1 LESSON 6-4COURSE 1 LESSON 6-4

Multiplying Mixed NumbersMultiplying Mixed Numbers

6-1

A comparison of two quantities by division.

What is a ratio?

Closure:

What are equivalent ratios?

Two ratios that name the same quantity.

RatiosRatios

A drama club has 14 females and 8 males. For questions1 and 2, write each ratio in three ways.

1. males to females

2. females to males

3. Write two different ratios equivalent to 4 : 8.

Write each ratio in simplest form.

4. 5. 10 : 6

COURSE 1 LESSON 7-1COURSE 1 LESSON 7-1

812

23

5 : 3

8 to 14, 8 : 14, 814

14 to 8, 14 : 8, 148

Sample answer: 1 : 2; 5 : 10

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6-4

Class Work:

Textbook Pg 308-309 1-40

Home Work:

Workbook Pg 333 Practice 7-1Pg 334 Guided Problem Solving 7-1

Dividing Mixed NumbersDividing Mixed Numbers