Algebra 1 8-8 Complete Lesson: Factoring by Grouping
By Matt Richardson
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Last updated over 2 years ago
29 Questions
Note 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.
10
1.
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.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
2.
Problem 1 Got It? What is the factored form of the polynomial?
10
3.
Problem 2 Got It?
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
4.
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.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
5.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
6.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
7.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
8.
Select all that apply.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
5
9.
Vocabulary: Tell whether you would factor the polynomial by grouping. Explain your answer in the proceding item.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
10.
Reasoning: Explain your response to the previous item.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
5
11.
Vocabulary: Tell whether you would factor the polynomial by grouping. Explain your answer in the proceding item.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
12.
Reasoning: Explain your response to the previous item.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
5
13.
Vocabulary: Tell whether you would factor the polynomial by grouping. Explain your answer in the proceding item.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
14.
Reasoning: Explain your response to the previous item.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
15.
Reasoning: Can you factor the polynomial by grouping? Explain.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
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16.
Review Lesson 8-7: Factor the expression.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
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17.
Review Lesson 8-7: Factor the expression.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
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18.
Review Lesson 8-7: Factor the expression.
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
19.
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
F.IF.1
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20.
Review Lesson 5-3: Use the slope and y-intercept to graph the equation.
F.IF.1
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21.
Review Lesson 5-3: Use the slope and y-intercept to graph the equation.
info
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
F.IF.1
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22.
Review Lesson 5-3: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.
info
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
F.IF.1
10
23.
Review Lesson 5-3: Graph the equation. Zoom and pan your graph to establish an appropriate viewing window.
info
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
F.IF.1
10
24.
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
A.SSE.1.a
A.SSE.1.b
A.SSE.2
10
10
26.
Use Your Vocabulary: Identify each number that is the cube of an integer. Select all that apply.
10
27.
Use Your Vocabulary: Identify the expressions that are NOT cubic polynomials. Select all that apply.
100
28.
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.
