Illustrative Math 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, indicating how one quantity changes in relation to another. In the example, it is 1.6.

Front

What does a proportional relationship represent?

Back

A proportional relationship indicates that two quantities maintain a constant ratio. For example, the relationship between the amount of blue paint and the amount of yellow paint.

Front

If 5 servings of granola have 1,500 calories, how many servings correspond to 150 calories?

Back

Front

How many calories are in 2 servings of granola if 5 servings have 1,500 calories?

Back

600 calories.

Front

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

Back

Front

What is a proportional relationship?

Back

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

Front

How do you find the constant of proportionality from a table?

Back

Divide the value of one quantity by the corresponding value of the other quantity to find the constant ratio.

Front

What is the formula to calculate calories per serving?

Back

Calories per serving = Total calories / Number of servings.

Front

If a tank fills at a constant rate, how can you express this mathematically?

Back

You can express this as a linear equation, where the amount of water is proportional to time.

Front

What is the significance of the slope in a proportional relationship graph?

Back

The slope represents the constant of proportionality, indicating how much one quantity changes for a unit change in another quantity.