# Comparing Relationships with Equations

Warmup

Solve the equation, enter your answer. Then, click . Do as many as you can.

Activity #1

Find Total Edge Length of a Cube.

Here are some cubes with different side lengths.

• Study them and complete the table below. Explain how the total edge length of any cube is found.

• Complete the table.

(1.) What is the surface area of each cube?

(2.) Explain how the surface area of any cube is found.

• Complete the table.

(1.) What is the volume of each cube?

(2.) Explain how the volume of any cube is found.

Activity #2

Complete a Table from a Given Relationship.

In this section, you are going to complete a table of missing values of y from a given equation. • Complete the table using the equation: • Complete the table using the equation: • Complete the table using the equation: • Complete the table using the equation: • Complete the table using the equation: • Complete the table using the equation: Activity #3

Represent Ratio with Diagrams. • Use the equation where F   represents degrees Fahrenheit and C  represents degrees Celsius, to complete the table.

(1.) Is the relationship between temperature (⁰C) and temperature (⁰F) a proportional relationship?

(2.) Explain why or why not.

• Use the equation C = 2.54n where C  represents the length in centimeters and n  represents the length in inches, to complete the table.

(1). Is the relationship between length (in) to length (cm) a proportional relationship?

(2.) Explain why or why not.

Challenge #1

Challenge #2

(1). Which of the relationships in Activity #2 above will represent a proportional relationship?

(2). Explain how you know that relationship is proportional.

(3). Write equations for the total edge length E, total surface area A, and volume V  of a cube with side length s.

Challenge #3

(1.) Which of the relationships in Activity #2 above will represent a proportional relationship?

(2.) Decide whether or not each equation below represents a proportional relationship.

Quiz Time