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Algebra 1 8-8 Complete Lesson: Factoring by Grouping

By Matt Richardson
Last updated almost 3 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.

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.

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

Problem 2 Got It?

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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.

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Select all that apply.

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

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Reasoning: Explain your response to the previous item.

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

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Reasoning: Explain your response to the previous item.

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

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Reasoning: Explain your response to the previous item.

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

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Review Lesson 8-7: Factor the expression.

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Review Lesson 8-7: Factor the expression.

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Review Lesson 8-7: Factor the expression.

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

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

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

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

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

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

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.

Reflection: Math Success

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