Ratios & Proportions Review

Ratios & Proportions Review

NY-7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

 

NY-7.RP.2c Represent a proportional relationship using an equation.

LEARNING TARGET

I can test for the constant of proportionality (unit rate) in tables, equations, and verbal descriptions to identify proportional relationships.

 

I can represent a proportional relationship using an equation.

CONSTANT OF PROPORTIONALITY

• The constant of proportionality is also known as the unit rate

• The constant of proportionality is the ratio between two proportional quantities. If the ratio for y/x is the same for all related pairs of x and y, it means there is a proportional relationship between x and y

• The constant of proportionality is represented with the letter K

• To find the constant of proportionality we use the formula K = y/x

Identifying the constant of proportionality and using it to solve propblems about proportionality

(TABLES/EQUATIONS)

Multiple Choice

True or False: The Constant of Proportionality is the SAME EXACT THING as a Unit Rate.

• True

• False

Multiple Choice

1. What is Constant of Proportionality?

• It is the number that can never be found.

• It is the number that stays the same or equal because the given values are proportional.

• It is the average number in a table of values.

• It is the greatest the number that can be found by multiplying or dividing.

Multiple Choice

Which of the following is the correct formula for finding the constant of proportionality?

• k = x/y

• k = y/x

• y = k/x

• x = k/y

Multiple Choice

When we compare quantities, we compare them as _____ over ______.

• x over y

• y over x

• rate over one

• peanut butter over jelly

Multiple Choice

What is the constant of proportionality (in miles per hour) based on the table?

• 2 mph

• 45 mph

• 90 mph

• 135 mph

Multiple Choice

Is this table proportional? Support your answer with a Mathematical explanation?

• No

• Yes

Multiple Choice

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 1/3

• Yes; 3

• Yes; 5

• No

Multiple Choice

A proportional relationship can be written as an equation in the form:

• y = k+x

• y = k-x

• y = kx

• y = k/x

Multiple Choice

What does k represent in the equation y = kx?

• constant rate of change

• constant of proportionality

• the equation

• x/y

Multiple Choice

Which equation is NOT proportional?

• y = 2x - 3

• y = 150x

• y = 1/2x

Multiple Select

Select ALL equations that are proportional.

• y = 3x

• y = 25x

• y = 7x

• y = 2x - 1

• y = 4000x

Multiple Choice

The equation y=5x describes a proportional relationship between x and y. What is the constant of proportionality?

• 6

• 4

• 7

• 5

Multiple Choice

Write the equation for the table given.

• y = 16x

• y=8x

• y=12x

• not proportional

Multiple Choice

If the constant of proportionality is 10, which of the following is the correct proportional equation?

• 10=kx

• 10=k

• y=10k

• y=10x

Multiple Choice

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none (not proportional)

Multiple Choice

Write an equation to represent the proportional relationship.

Hint: y = kx

• y = 20x

• y = 22x

• y = 25x

• This is a non-proportional relationship.

Closing

Key Concepts Review