Unit 3 Lesson 3

Unit 3 Lesson 3

Representations of Linear Relationships

Poll

Which of the three glasses shown holds the most water?

• A

• B

• C

Open Ended

What are characteristics of the glass you picked that made you decide it would hold the most water?

The correct answer

Did you guess right?

Demonstration

Go back to the teams meeting and watch the demonstration

Multiple Choice

What does the y-intercept represent in the 2 demonstrations that we have done so far?

• The amount of water that was in the cylinder to start

• How much the water changes as each item is dropped

Multiple Choice

What does the slope represent in the 2 demonstrations that we have done so far?

• The amount of water that was in the cylinder to start

• How much the water changes as each item is dropped

Applet

Go to link dropped in the chat

Set your water start level to 40mL

On your table record the water level after 1, 2, 3, 4, and 5 marbles

Open Ended

How much did each marble cause your water volume to change?

Applet

In the same link

Set your water start level to 50mL

On your table record the water level after 1, 2, 3, 4, and 5 marbles

Open Ended

How much did each marble cause your water volume to change?

Open Ended

When starting from 60mL, if you wanted the water to reach the HIGHEST mark on the cylinder, how many marbles would you need?

Geogebra

Let's go to geogebra and graph the line

Poll

How much do you think the water volume will change with each marble if you increase the starting volume to 60mL?

• 2 mL

• 3 mL

• 4 mL

• 5 mL

Slope Intercept Equation

• First you need the slope (m)

• Then you need the y-intercept (b)

• Finally you combine them together in the equation

• You can also get the same information back out of the equation.

Multiple Choice

When the water level starts at 60 mL what is the slope?

• 2

• 3

• 4

• 5

Multiple Choice

When the water level starts at 60 mL what is the y-intercept?

• 40

• 50

• 60

• 70

Multiple Choice

What is the correction equation for the situation that we just modeled with the applet.

• $y=60x+3$

• $y=3x+60$

• $y=60x-3$

• $y=3x-60$

Multiple Choice

What is the vertical change?

• 3

• 6

• 9

• 12

Multiple Choice

What is the horizontal change?

• 3

• 4

• 6

• 9

Multiple Choice

What is the slope?

• 2

• 4

• 6

• 8

Multiple Choice

What is the slope?

• 0.25

• 0.5

• 0.75

• 1

Multiple Choice

What is the slope?

• 0.5

• 1

• 1.5

• 2

Putting it all together

What do you know?

Multiple Choice

What is the y-intercept of the line?

• 2

• 5

• 10

• 20

Multiple Choice

What is the slope of the line?

• 2

• 5

• 10

• 20

Multiple Choice

What is the equation of the line?

• $y=2x-10$
  

• $y=10x-2$
  

• $y=2x+10$
  

• $y=2x-10$
  

Open Ended

What is the equation of the line?

Open Ended

How many months will it take before the bamboo plant will be 66 inches tall?

Poll

What is your confidence level about today's lesson?

1-I dont get it at all

5-I am ready for the test on this

• 1

• 2

• 3

• 4

• 5