Grade 06 Mathematics - EC: M06.A-R.1.1.2

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

6th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M06.A-R.1.1.2 M06.A-R.1.1.2

Find the unit rate a/b associated with a ratio a:b (with b ≠ 0) and use rate language in the context of a ratio relationship. Example 1: “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” Example 2: “We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.”

Activities

Seven candy bars will cost you $3.50. How much will one candy bar cost?

While driving to Florida for a vacation your parents said that the car went 250 miles with 20 gallons of gas. What is the unit rate?

Using the chart above, who was reading at a faster rate, Hannah or Rose? Justify your answer.

Using the chart above, which two students have the same unit rate? Explain how you know this.

Arianna made 96 cookies for 4 dozen students. Is this an example of a unit rate? Explain and if not, be sure to include the unit rate.

Chris went to the store and bought 6 bottles of Pepsi for $7.50. Explain how to calculate the unit rate.

Answer Key/Rubric

$0.50 per candy bar

12.5 miles per gallon of gas

Rose

Acceptable responses may include, but are not limited to:

Hannah reads 10 pages per night; 30/3 = 10

Rose reads 12 pages per night; 48/4 = 12

To compare the two we need to find the unit rate so we know how many pages they are reading in one night

Philip and Leah

Acceptable responses may include, but are not limited to:

Find the unit rate for each by dividing the pages read by the number of nights

Philip’s unit rate: 150 ÷ 10 = 15

Leah’s unit rate: 45 ÷ 3 = 15

Each read 15 pages per night

No, not a unit rate

Acceptable reasons may include, but are not limited to:

Unit rate is for one

This rate is for 4 dozen cookies

The unit rate would be 24 cookies for 1 dozen students or two cookies per student

The cost for one bottle is $1.25.

Explanation might include, but is not limited to:

Use division

Divide the cost by the amount of bottles bought

$7.50 ÷ 6 = $1.25 per bottle