Describing Slope and Steepness

Multiple Choice

BELL-RINGER QUESTION #1

Using the graph displayed, determine the vertex of the image for L' after reflecting across the y-axis.

• L'(3, 1)

• L'(-3, 1)

• L'(-3, -1)

• L'(3, -1)

Graphing

BELL-RINGER QUESTION #2

Graph the vertices of the image L'G'Q' as reflected across the y-axis.

NOTE: Do not match the picture, count the units!

Drag and Drop

PARTNER-PRACTICE

1. For each triangle, write a ratio that represents the relationship between the height (y) and the base (x) of each triangle.

Figure A​

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Figure B​

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Figure C​

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Figure D​

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10:10

15:4

15:15

12:3

3:12

4:15

10:15

15:10

Drag and Drop

PARTNER-PRACTICE

2A. Match the correct unit rate from the given right triangles. Use DESMOS TO GET DECIMAL OF FRACTION from the previous ratios for matching.

Figure A​

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Figure B​

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Figure D​

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1/1

3.75/1

15/1

4/1

1/12

12/1

1/4

3/1

Open Ended

THINK-PAIR-SHARE

2B. In your opinion, why was Figure C not included in matching for the unit rates?

Write your reasoning in a clear complete sentence.

Multiple Choice

PARTNER-PRACTICE

3. Which of the following Figures of Right Angle Triangles has the steepest slope?

• Figure A

• Figure B

• Figure C

• Figure D

Fill in the Blank

PARTNER PRACTICE

4. On Monday Jack and Jill walked from their home up a hill to get to the bus stop. They walked 4 yards every 3 seconds. Write an equation to represent the distance, y, Jack and Jill walked over time, x, as a constant rate of change (y=kx).

=

/

Graphing

PARTNER PRACTICE

5. On Monday Jack and Jill walked from their home up a hill to get to the bus stop. They walked 4 yards every 3 seconds. Graph the equation of the situation referring to Jack and Jill walking up the hill to make it to their school bus.

​OPEN DESMOS GRAPHING CALCULATOR

Match

PARTNER PRACTICE

6. Complete the table for the given values of the equation from the situation, y=4/3x.

USE DESMOS GRAPHING CALCULATOR making a table to match the following.

• Time Spent Walking

  (0 seconds)

• Time Spent Walking

  (1 second)

• Time Spent Walking

  (3 second)

• Time Spent Walking

  (6 second)

• Time Spent Walking

  (7.5 second)

Distance from Home

(0 yards)

Distance from Home

(4/3 yards)

Distance from Home

(4 yards)

Distance from Home

(8 yards)

Distance from Home

(10 yards)

• Distance from Home

  (0 yards)

• Distance from Home

  (4/3 yards)

• Distance from Home

  (4 yards)

• Distance from Home

  (8 yards)

• Distance from Home

  (10 yards)

Drag and Drop

Exit Ticket TEK - 8.4A

The graph displayed shows the volume of water in a tank over time.

a) What is the dependent variable in the graph?​

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b)What is the independent variable in the graph?​

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c)What scale is being used for the time (x-axis)?​

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d)What scale is being used for the volume (y-axis)?​

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e)Determine the rate of change of volume in liters per minute.​

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Volume

Time

minutes

liters

5 L per minute

Area

meters

seconds

10 L per minute

2 L per minute