Algebra 1 8-8 Complete Lesson: Factoring by Grouping

5 (1 rating)

by Matthew Richardson

| 29 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

10 pts

Solve It! A packaging company sells two kinds of boxes, Box A and Box B. The company is designing a new box, Box C, that will have the same volume as Boxes A and B combined. Suppose one dimension of Box C is x. What could be the other two dimensions? Select all that apply.

4x + 9

x + 9

4x + 1

x + 1

2

10 pts

Problem 1 Got It? What is the factored form of the polynomial?

3

3

10 pts

Problem 2 Got It?

A

B

C

D

4

10 pts

Problem 3 Got It: Geometry: A rectangular prism has volume represented by the trinomial below.

Which three expressions below could together represent the dimensions of the prism? Use factoring. Select all that apply.

5x + 2

6x + 1

x

2x

5

5

10 pts

A

B

C

D

6

6

10 pts

A

B

C

D

7

7

10 pts

A

B

C

D

8

8

10 pts

Select all that apply.

A

B

C

D

9

5 pts

Vocabulary: Tell whether you would factor the polynomial by grouping. Explain your answer in the proceding item.

No, I would not factor by grouping.

Yes, I would factor by grouping.

10

10 pts

Reasoning: Explain your response to the previous item.

11

5 pts

Vocabulary: Tell whether you would factor the polynomial by grouping. Explain your answer in the proceding item.

No, I would not factor by grouping.

Yes, I would factor by grouping.

12

10 pts

Reasoning: Explain your response to the previous item.

13

5 pts

Vocabulary: Tell whether you would factor the polynomial by grouping. Explain your answer in the proceding item.

Yes, I would factor by grouping.

No, I would not factor by grouping.

14

10 pts

Reasoning: Explain your response to the previous item.

15

10 pts

Reasoning: Can you factor the polynomial by grouping? Explain.

16

10 pts

Review Lesson 8-7: Factor the expression.

17

10 pts

Review Lesson 8-7: Factor the expression.

18

10 pts

Review Lesson 8-7: Factor the expression.

19

10 pts

Review Lesson 4-6: Use a mapping diagram to determine whether each relation is a function.

- {(4, 3), (3, 4), (4, 7), (7, 4)}
- {(-1, 8), (1, 8), (3, 8), (5, 8)}
- {(2, 7), (4, 7), (6, 7), (8, -7)}

- Function
- Not a function

20

10 pts

Review Lesson 5-3: Use the slope and y-intercept to graph the equation.

21

10 pts

Review Lesson 5-3: Use the slope and y-intercept to graph the equation.

22

10 pts

Review Lesson 5-3: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.

23

10 pts

Review Lesson 5-3: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.

24

10 pts

Vocabulary Review: Match each expression in the left column with the GCF of its terms in the right column.

- 3x
- 3
- 2x + 1
- 7x²
- 2x

26

10 pts

Use Your Vocabulary: Identify each number that is the cube of an integer. Select all that apply.

30

3

8

12

27

27

10 pts

Use Your Vocabulary: Identify the expressions that are NOT cubic polynomials. Select all that apply.

28

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.

29

10 pts

Reflection: Math Success

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