Exploring Proportional Tables and Equations

The video tutorial covers proportional relationships, focusing on setting up proportions, using tables to identify multipliers, and writing equations. It explains the concept of slope as a multiplier or rate of change and provides examples of simplifying ratios to find unit rates. The tutorial also includes practice problems and instructions for homework, emphasizing the application of these concepts in solving proportional equations.

What is a proportion in mathematics?

• A relationship where two ratios are equal

• A relationship where two numbers are added

• A relationship where two numbers are subtracted

• A relationship where two numbers are multiplied

Tags

CCSS.6.RP.A.3A

In a table for proportional relationships, what do the denominators represent?

• X values

• Slopes

• Y values

• Multipliers

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CCSS.7.RP.A.2D

How do you find the multiplier between X and Y in a proportional table?

• By adding X and Y

• By multiplying X and Y

• By subtracting X from Y

• By dividing Y by X

Tags

CCSS.7.RP.A.2B

What is another term for the multiplier in a proportional relationship?

• Constant

• Slope

• Numerator

• Denominator

Tags

CCSS.7.RP.A.2B

What is the equation form for a proportional relationship?

• y = x - m

• y = x + m

• y = mx

• y = mx + b

Tags

CCSS.7.RP.A.2C

If the ordered pairs (4, 2) and (6, 3) form a proportional relationship, what is the multiplier?

• 1/2

• 2

• 3

• 1/3

Tags

CCSS.7.RP.A.2B

What is the simplified ratio for the ordered pair (7, 14)?

• 1/2

• 3

• 1/3

• 2

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the equation for the proportional relationship with a multiplier of 1/3?

• y = x/3

• y = 3x

• y = 1/3x

• y = x + 1/3

Tags

CCSS.7.RP.A.2C

In the example with points (18, 6) and (12, 4), what is the multiplier?

• 1/3

• 3

• 1/2

• 2

Tags

CCSS.7.RP.A.2B

What is the rate of change for the ordered pairs (6, 30) and (3, 15)?

• 1/2

• 1/3

• 5

• 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6