Equations of Proportional Relationships

Watch the following video!

Copy and paste this link into a new tab!

https://youtu.be/qYjiVWwefto

Fill in the Blanks

What was the constant of proportionality from this graph according to our notes from yesterday?

How much something changes for every 1 unit.

Unit Rate

The constant rate at which an amount grows.

Constant of Proportionality

Math Synonyms

What was the constant of proportionality?

/

/

What is the unit rate?

​

​Math Synonyms

What was the constant of proportionality?

45

What is the unit rate?

45

​

​Math Synonyms

Watch the following video!

Copy and paste this link into a new tab!

https://youtu.be/qcz1Cm_-l50

Fill in the Blanks

What is the unit rate of this proportional relationship?

$y=23x$

Slope is how steep a graph is. We can find this by using the formula "rise over run"

~How much do you go up or down divided by how much you go right~

Slope

Slope is how steep a graph is. We can find this by using the formula "rise over run"

~How far to the right do we move to go from 0 to 1?~

Slope

Slope is how steep a graph is. We can find this by using the formula "rise over run"

~How far to the right do we move to go from 0 to 1?~

1 Unit

Slope

Slope is how steep a graph is. We can find this by using the formula "rise over run"

~How far up do we move to go from 0 to 45?~

45 Units

Slope

Slope is how steep a graph is. We can find this by using the formula "rise over run"

~What is 45 divided by 1?~

Slope

This will always work with any pair of points! Let's try (2,90) and (5,225)!

Slope

Fill in the Blanks

How far to the right do we move from 2 to 5?

Fill in the Blanks

How far up do we move from 90 to 225?

Fill in the Blanks

What is 135 divided by 3?

Fill in the Blanks

What is the equation of this graph?

Multiple Choice

Are the constant of proportionality and the unit rate the same thing?

• Yes

• No

Multiple Choice

Are the constant of proportionality and the slope the same thing?

• Yes

• No

Multiple Choice

Are the unit rate and the slope the same thing?

• Yes

• No

Open Ended

What is something you feel confident about from this lesson?

Open Ended

What is something you are struggling with in this lesson?