Grade 7 Unit 2, Lessons 1-6

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities. In the context of a table, it is the value that relates the two variables in a proportional relationship.

Front

How do you calculate the time taken to fill a tank with water at a constant rate?

Back

To calculate the time taken to fill a tank, divide the total volume of water needed by the rate at which water flows into the tank.

Front

If you mix 1 cup of blue paint with how many cups of yellow paint to achieve a specific shade of green?

Back

To achieve a specific shade of green, you need to mix 5 cups of yellow paint with 1 cup of blue paint.

Front

Write an equation for the amount of snow that has fallen after x hours if 6 inches fell in 2 hours.

Back

The equation is y = 3x, where y is the total inches of snow and x is the number of hours.

Front

How do you determine the total gallons of water in a tank after a certain time at a constant flow rate?

Back

Multiply the flow rate (gallons per minute) by the time (in minutes) to find the total gallons of water in the tank.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio remains constant.

Front

Define constant rate. Give an example.

Back

A constant rate means that a quantity increases or decreases at a steady pace over time. For example, if water flows into a tank at 2 gallons per minute, that is a constant rate.

Front

What is the formula for finding the constant of proportionality from a table?

Back

The constant of proportionality can be found by dividing one quantity by the corresponding quantity in a proportional relationship.

Front

How do you express a relationship in an equation?

Back

You express a relationship in an equation by identifying the variables involved and determining how they relate to each other mathematically.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.