Algebra 2 2-3 Complete Lesson: Linear Functions and Slope-Intercept Form

5 (1 rating)

by Matthew Richardson

| 25 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

1

5 pts

Solve It! By what value do you multiply height h to get height H?

2

5 pts

Problem 1 Got It? What is the slope of the line that passes through the points?

Enter only a number.

2

3

-1

1

3

5 pts

Problem 1 Got It? What is the slope of the line that passes through the points?

Enter only a number or write "Undefined"

4

5 pts

Problem 1 Got It? What is the slope of the line that passes through the points?

Enter only a number or write "Undefined"

5

10 pts

Problem 2 Got It? What is the equation of a line with m = 6 and y-intercept (0, 5)?

y = 6x + 5

y = 6x

y = 5x + 6

y = 5

6

10 pts

Problem 2 Got It? What is the equation of a line graphed below?

7

10 pts

Problem 2 Got It? Reasoning: In the previous item, do you get a different equation if you use (-6, 0) and the y-intercept to find the slope of the line? Explain.

Yes; choosing different points results in a different slope.

No; any two points on a line can be used to calculate the slope.

8

8

10 pts

Problem 3 Got It?

A

B

C

D

9

9

10 pts

Problem 3 Got It?

A

B

C

D

10

10 pts

Problem 4 Got It? What is the graph of the equation? Hint: convert the equation to slope-intercept form.

Verification

Graph the equation from the previous item on the embedded Desmos graphing utility below. Note any differences between the Desmos graph and your graph above. Edit your graph above if necessary.

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

13

10 pts

A

B

C

D

14

14

10 pts

A

B

C

D

15

10 pts

Vocabulary: What is a y-intercept? How is a y-intercept different from an x-intercept?

17

10 pts

Error Analysis: A classmate found the slope between two points. What error did she make?

18

10 pts

Review Lesson 2-1: Match each relation with its domain.

- Domain: {-2, -1, 2, 3}
- Domain: all real numbers
- Domain: {-2, 1, 2, 3, 4}
- Domain: {-5, 0, 2, 9}

19

10 pts

Review Lesson 2-1: Match each relation with its range.

- Range: {-2, -1, 2, 3}
- Range: all real numbers y ≥ -2
- Range: {-2, 1, 2, 3, 4}
- Range: {-3, -1, 5, 15}

20

10 pts

Review Lesson 2-1: Categorize each relation as a function or NOT a function.

- Function
- NOT a function

21

10 pts

Review Lesson 1-3: Match each function with its value for x = 0.

- 5x + 2
- (x - 4) + 12
- 13 - 6.5x

- 13
- 8
- 2
- 5

22

10 pts

Vocabulary Review: Classify each relation based on whether or not it is a function.

- {(0, 1), (-1, 3), (0, 4)}

- Function
- NOT a function

23

10 pts

Use Your Vocabulary: Use the graph below. Match each line in the left column with its slope type on the right.

- line a
- line b
- line c
- line d

- Positive slope
- Negative slope
- Zero slope
- undefined

24

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

25

10 pts

Reflection: Math Success

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