Algebra 2 4-4 Complete Lesson: Factoring Quadratic Expressions

Last updated almost 4 years ago
40 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! In a game, you see the two cards shown. You get two other cards with numbers. You win if:

1. The product of your two numbers equals the number on one card shown
AND
2. The sum of your two numbers equals the number on the other card shown.
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Solve It! What should your two cards be for you to win the game? Drag and drop the card numbers on the left to form two winning hands.

  • 1
  • 2
  • 3
  • 4
  • 5
  • Winning hand (with sum 6)
  • Winning hand (with sum 5)
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Problem 1 Got It?

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 3 Got It? What is the factored form of the expression? Check your answers.

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Problem 3 Got It? What is the factored form of the expression? Check your answers.

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Problem 3 Got It? Reasoning: Can you factor the expression into a product of two binomials? Explain.

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Problem 4 Got It?

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Problem 5 Got It?

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Vocabulary: Is the trinomial a perfect square trinomial? Explain.

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Review Lesson 4-3: Graph the values in the table using the Desmos graphing utility. Find and graph a quadratic model for the data.
Recall the Desmos regression notation: y₁~ax₁²+bx₁+c

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Review Lesson 3-6: The combined mass of a penny, a nickel, and a dime is 9.8 g. Ten nickels and three pennies have the same mass as 25 dimes. Fifty dimes have the same mass as 18 nickels and 10 pennies. Write and solve a system of equations to find the mass of each type of coin. Show your work and solution on the canvas.

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Review Lesson 4-2: Graph the functions on the same plane. Zoom and pan your graph to establish an appropriate viewing window.

Vocabulary Review: Complete each factor tree.
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Enter only a number.

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Enter only a number.

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Enter only a number.

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Enter only a number.

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Enter only a number.

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Enter only a number.

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Enter only a number.

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Enter only a number.

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Use Your Vocabulary: Drag and drop factors from the left to identify the prime factorization of 24xy.

NOTE: The order in which you drag and drop factors does not matter for this item.

  • x
  • y
  • 3
  • 4
  • Prime factorization of 24xy
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Use Your Vocabulary: Drag and drop factors from the left to identify the prime factorization of 54a²b.

NOTE: The order in which you drag and drop factors does not matter for this item.

  • 2
  • b
  • Prime factorization of 54a²b
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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.

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Reflection: Math Success