Unit 4, Lesson 5

How Many Groups? (Part 2)

Grade 6

Practice

Problem 1

What is the value of $\frac12\div\frac13$?

Use pattern blocks to represent and
find this value. The yellow hexagon represents 1 whole.

Explain or show your reasoning.

Four pattern blocks: One large yellow hexagon, one blue rhombus, one red trapezoid, and one green triangle.

to access Practice Problem Solutions.

Problem 2

Use a standard inch ruler to answer each question. Then, write a multiplication equation and a division equation that answer the question.

How many $\frac12$s are in 7?
How many $\frac38$s are in 6?
How many $\frac{5}{16}$s are in $1\frac78$?

<p>Image of a ruler. Top, inches. Scale 0 to 8, by 1's. Bottom, centimeters. Scale 0 to 20, by 1's. </p>

to access Practice Problem Solutions.

Problem 3

Use the tape diagram to answer the question: How many $\frac25$s are in $1\frac12$?

Show your reasoning.

A tape diagram of two equal parts on a square grid. Each part is composed of 5 squares. A brace from the beginning of the diagram to the middle of the eighth square is labeled "one and one half."

to access Practice Problem Solutions.

Problem 4

How many groups of $\frac12$ are in the following quantities?

$3\frac58$
$4\frac{1}{4}$
$7\frac34$

to access Practice Problem Solutions.

Problem 5

ForLesson 4: How Many Groups? (Part 1)

Write a multiplication equation and a division equation to represent each sentence or diagram.

There are 12 fourths in 3.
How many $\frac 23$s are in 6?
$Fraction bar diagram. 5 equal parts. Each part labeled "the fraction 2 over 5." Total labeled "2."$

Problem 6

ForLesson 4: Comparing Speeds and Prices

At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for \$3.80, and another vendor sells 1.5 liters for \$2.70. Which is the better deal? Explain your reasoning.

to access Practice Problem Solutions.

Problem 7

ForLesson 5: Interpreting Rates

A recipe uses 5 cups of flour for every 2 cups of sugar.

How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?

to access Practice Problem Solutions.

Navigation

Gradeband

Course

Unit

Lesson

Settings

Audience

Assessment Access

Lesson | Practice | Loading...

Settings

Audience

Assessment Access

How Many Groups? (Part 2)

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Lesson 5 Resources