IM: 8.3.3: Representing Proportional Relationships (Lesson)

Last updated about 1 year ago

15 questions

3.1: Number Talk: Multiplication

3.2: Representations of Proportional Relationships

3.3: Info Gap: Proportional Relationships

IM: 8.3.3: Representing Proportional Relationships (Lesson)

Last updated about 1 year ago

15 questions

3.1: Number Talk: Multiplication

Find the value of each product mentally.

3.2: Representations of Proportional Relationships

Here are two ways to represent a situation.

Description:
Jada and Noah counted the number of steps they took to walk a set distance. To walk the same distance, Jada took 8 steps while Noah took 10 steps. Then they found that when Noah took 15 steps, Jada took 12 steps.

Equation:
Let x represent the number of steps Jada takes and let y represent the number of steps Noah takes. y=\frac{5}{4}x

Here are two ways to represent a situation.

Description:
The Origami Club is doing a car wash fundraiser to raise money for a trip. They charge the same price for every car. After 11 cars, they raised a total of $93.50. After 23 cars, they raised a total of $195.50.

Table:

3.3: Info Gap: Proportional Relationships

Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.

Are you ready for more?

Ten people can dig five holes in three hours. If n people digging at the same rate dig m holes in d hours:

IM: 8.3.3: Representing Proportional Relationships (Lesson)

IM: 8.3.3: Representing Proportional Relationships (Lesson)

Are you ready for more?

15\sdot2

15\sdot0.5

15\sdot0.25

15\sdot(2.25)

Create a table that represents this situation with at least 3 pairs of values.

Graph this relationship and label the axes.

How can you see or calculate the constant of proportionality in each representation? What does it mean?

Explain how you can tell that the equation, description, graph, and table all represent the same situation.

Write an equation that represents this situation. (Use c to represent number of cars and use m to represent amount raised in dollars.)

Create a graph that represents this situation.

How can you see or calculate the constant of proportionality in each representation? What does it mean?

Explain how you can tell that the equation, description, graph, and table all represent the same situation.

Are you ready for more?

15\sdot2

15\sdot0.5

15\sdot0.25

15\sdot(2.25)

Create a table that represents this situation with at least 3 pairs of values.

Graph this relationship and label the axes.

How can you see or calculate the constant of proportionality in each representation? What does it mean?

Explain how you can tell that the equation, description, graph, and table all represent the same situation.

Write an equation that represents this situation. (Use c to represent number of cars and use m to represent amount raised in dollars.)

Create a graph that represents this situation.

How can you see or calculate the constant of proportionality in each representation? What does it mean?

Explain how you can tell that the equation, description, graph, and table all represent the same situation.

n is proportional to m when d=3

n is proportional to d when m=5

m is proportional to d when n=10