Algebra 2 4-4 Complete Lesson: Factoring Quadratic Expressions

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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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

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

F.IF.7.a

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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.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

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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
y²
2³
y
3

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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
b²
a²
3³
b

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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

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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.