Algebra 2 4-4 Complete Lesson: Factoring Quadratic Expressions

Last updated about 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.

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Algebra 2 4-4 Complete Lesson: Factoring Quadratic Expressions

Algebra 2 4-4 Complete Lesson: Factoring Quadratic Expressions

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

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

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

Problem 4 Got It?

Problem 5 Got It?

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

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

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

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.

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.

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

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.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

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

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

Problem 4 Got It?

Problem 5 Got It?

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

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

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

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

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.

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.

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

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.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

Enter only a number.

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

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.

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.

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.

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

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.

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.

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.