Standards: 6.RP.1, 6.RP3a, 6.Rp.3d

Resource: Connected Math Program2

Common Core Investigation 1

6th Grade MathFocus 1: Ratios, Rates & Proportions

• Understand the concept of a unit rate associated with a ratio a : b with b≠ 0, and use rate language in the context of a ratio relationship.

• Make and tables of equivalent ratios, find missing values in the tables, and plot pairs of values on the coordinate plane.

• Solve unit rate problems

• Use ratio reasoning to convert measurement units

Common Core Investigation 1: Ratios and RatesMathematical Learning Goals

1. Students will solve ratio problems that require them to use the correct ratio and then to decide whether to multiply or divide.

2. Students will be introduced to rates, including unit rates.

3. Students will use ratios to convert between customary and metric units of measurement.

Investigation 1.2: Learning Target

A ratio is a comparison to two quantities.

Fractions, decimals, and percents are ways to represent ratios.

You can use the word “to,” a colon, or a fraction to write a ratio.

Key Vocabulary Term- RATIO

For Kai, the ratio of posters to minutes is 8 to 40.

For Kai, the ratio of posters to minutes is 8 : 40.

For Kai, the ratio of posters to minutes is .

Student Practice- Write answers in your math

workbook.

1. What do you think “the ratio of posters to minutes is 8 to 40” mean?

2. What is the ratio of minutes to posters? Explain.

Examples of RATIOS

A rate is a ratio that compares

quantities measured in different

units.

Key Vocabulary Term- RATE

Rate of production: 4 posters in 80 minutes

Rate of speed: 10 miles in 2 hours

Examples of RATES

A unit rate is a rate for which one

of the numbers being compared

is 1 unit.

Key Vocabulary Term- UNIT RATE

o Rate of production: 20 minutes per poster

o Rate of pay: $15 for 1 hour

Examples of UNIT RATES

Problem 1.1Write answers in your math workbook.

• Selena, Jason, Kai, Enrique, and Andre will find using ratios very helpful in solving problems while they volunteer at the local animal shelter.

• How can you find the number of posters per minute for each student?

Explore 1.1Have you thought about?

Share how you and/or your group solved the following

situations/questions.

A.How many posters per minute can each of the students

make?

B.Which student makes the most posters per minute? The

least?

C. If Selena makes 8 posters in 80 minutes, how does this

change your answers to Parts A and B?

D.Matt joins the group, and it takes him 6 minutes to make

each poster. How many posters can he make in 30 minutes?

Class Discussion & Sharing

Exercises#1-3, 19, 24-

29Copy your answers in your math workbook

6th Grade Math Homework