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.

Explain how the total edge length of any cube is found.

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

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

(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.

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