Lesson 2
Representing Ratios with Diagrams
Let’s use diagrams to represent ratios.
Problem 1
Here is a diagram that describes the cups of green and white paint in a mixture.
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 \(4:2\).
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 \(2:4\).
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
 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
Find the area of this quadrilateral. Explain or show your strategy.
Problem 5
Complete each equation with a number that makes it true.
 \(\frac18 \boldcdot 8 = \text{_______}\)
 \(\frac38 \boldcdot 8 = \text{_______}\)
 \(\frac18 \boldcdot 7 = \text{_______}\)
 \(\frac38 \boldcdot 7 = \text{_______}\)