IM: 8.3.5: Introduction to Linear Relationships (Lesson)

Last updated about 1 year ago

7 questions

5.1: Number Talk: Fraction Division

5.2: Stacking Cups

5.3: Connecting Slope to Rate of Change

Library

IM: 8.3.5: Introduction to Linear Relationships (Lesson)

Last updated about 1 year ago

7 questions

5.1: Number Talk: Fraction Division

Question 1

Find the value of 25/8 ÷ 1/2.

5.2: Stacking Cups

Question 2

We have two stacks of styrofoam cups.
One stack has 6 cups, and its height is 15 cm.
The other stack has 12 cups, and its height is 23 cm.
How many cups are needed for a stack with a height of 50 cm?

5.3: Connecting Slope to Rate of Change

Question 1

Find the value of 25/8 ÷ 1/2.

Question 2

We have two stacks of styrofoam cups.
One stack has 6 cups, and its height is 15 cm.
The other stack has 12 cups, and its height is 23 cm.
How many cups are needed for a stack with a height of 50 cm?

Create a graph of how to determine the number of cups needed to be stacked to reach 50cm.

Question 3

Create your graph.

Question 4

What are some ways you can tell that the number of cups is not proportional to the height of the stack?

Question 5

What is the slope of the line in your graph? What does the slope mean in this situation?

Question 6

At what point does your line intersect the vertical axis? What do the coordinates of this point tell you about the cups?

Question 7

How much height does each cup after the first add to the stack?

Create a graph of how to determine the number of cups needed to be stacked to reach 50cm.

Question 3

Create your graph.

Question 4

What are some ways you can tell that the number of cups is not proportional to the height of the stack?

Question 5

What is the slope of the line in your graph? What does the slope mean in this situation?

Question 6

At what point does your line intersect the vertical axis? What do the coordinates of this point tell you about the cups?

Question 7

IM: 8.3.5: Introduction to Linear Relationships (Lesson)

IM: 8.3.5: Introduction to Linear Relationships (Lesson)

Find the value of 25/8 ÷ 1/2.

We have two stacks of styrofoam cups.One stack has 6 cups, and its height is 15 cm.The other stack has 12 cups, and its height is 23 cm.How many cups are needed for a stack with a height of 50 cm?

Find the value of 25/8 ÷ 1/2.

We have two stacks of styrofoam cups.One stack has 6 cups, and its height is 15 cm.The other stack has 12 cups, and its height is 23 cm.How many cups are needed for a stack with a height of 50 cm?

Create your graph.

What are some ways you can tell that the number of cups is not proportional to the height of the stack?

What is the slope of the line in your graph? What does the slope mean in this situation?

At what point does your line intersect the vertical axis? What do the coordinates of this point tell you about the cups?

How much height does each cup after the first add to the stack?

Create your graph.

What are some ways you can tell that the number of cups is not proportional to the height of the stack?

What is the slope of the line in your graph? What does the slope mean in this situation?

At what point does your line intersect the vertical axis? What do the coordinates of this point tell you about the cups?

How much height does each cup after the first add to the stack?

We have two stacks of styrofoam cups.
One stack has 6 cups, and its height is 15 cm.
The other stack has 12 cups, and its height is 23 cm.
How many cups are needed for a stack with a height of 50 cm?

We have two stacks of styrofoam cups.
One stack has 6 cups, and its height is 15 cm.
The other stack has 12 cups, and its height is 23 cm.
How many cups are needed for a stack with a height of 50 cm?