Grade 6 Unit 5: Check Your Readiness

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

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

Back

To find the constant of proportionality from a table, divide the value of y by the value of x for any pair of corresponding values.

Front

What is the equation of a line that represents a proportional relationship?

Back

The equation of a line that represents a proportional relationship is in the form y = kx, where k is the constant of proportionality.

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

What does it mean if a table represents a proportional relationship?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

What is the formula for the circumference of a circle?

Back

The formula for the circumference of a circle is C = πd or C = 2πr, where d is the diameter and r is the radius.

Front

What is the circumference of a circle with a radius of 5 meters?

Back

The circumference is 31.4 meters (C = 2πr = 2 × 3.14 × 5).

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate from a ratio?

Back

To calculate the unit rate from a ratio, divide the first quantity by the second quantity.