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6-8 Grade 6 Unit 2 Lesson 2

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IM K-5 Math
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Unit 2, Lesson 2

Representing Ratios with Diagrams

Grade 6

Practice

Problem 1

Here is a diagram that describes the cups of green and white paint in a mixture.

<p>Four squares labeled green paint, cups, and two squares labeled white paint, cups.</p>

Select all the statements that correctly describe this diagram.

The ratio of cups of white paint to cups of green paint is 2 to 4.
For every cup of green paint, there are two cups of white paint.
The ratio of cups of green paint to cups of white paint is .

Problem 2

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds.

Create a diagram to represent the quantities of each ingredient in this recipe.
Use your diagram to complete each sentence.
- The ratio of to to is
  
  .
- There are cups of pretzels for every cup of raisins.
- There are cups of almonds for every cup of raisins.

Problem 3

ForLesson 17: Squares and Cubes

A square is 3 inches by 3 inches. What is its area?
A square has a side length of 5 feet. What is its area?
The area of a square is 36 square centimeters. What is the length of each side of the square?

Problem 4

ForLesson 11: Polygons

Find the area of this quadrilateral. Explain or show your strategy.

A blue quadrilateral in the shape of a kite. Two smaller sides span across 3 squares. Two longer sides span across 5 squares.

Problem 5

from an earlier course

Complete each equation with a number that makes it true.

$'_' allowed only in math mode\frac18 \boldcdot 8 = \text{_______}$
$'_' allowed only in math mode\frac38 \boldcdot 8 = \text{_______}$

$'_' allowed only in math mode\frac18 \boldcdot 7 = \text{_______}$
$'_' allowed only in math mode\frac38 \boldcdot 7 = \text{_______}$

For every cup of white paint, there are two cups of green paint.

The ratio of cups of green paint to cups of white paint is .