Algebra 2 4-4 Guided Practice: Factoring Quadratic Expressions

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Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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Solve It! In a game, you see the two cards shown.
You will 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.
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 on the right.

1
2
3
4
5

Winning hand (with sum 6)
Winning hand (with sum 5)

A.SSE.2

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Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Take Note: Define factoring.
You may use the canvas to help illustrate your written definition.

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5

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Problem 1 Got It?

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C

D

A.SSE.2

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Problem 1 Got It?

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B

C

D

A.SSE.2

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Problem 1 Got It?

A

B

C

D

A.SSE.2

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Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Take Note: Define greatest common factor (GCF) of an expression.
You may use the canvas to help illustrate your written definition.

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Take Note: Provide an example of a simplified binomial that has a GCF of 7x.

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Problem 2 Got It?

A

B

C

D

A.SSE.2

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Problem 2 Got It?

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B

C

D

A.SSE.2

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Problem 2 Got It?

A

B

C

D

A.SSE.2

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Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Take Note: Summarize the process for factoring a quadratic trinomial of the form: ax^{2}+bx+c, \ \ a\ne1
when there is no common factor.
You may use the canvas to help illustrate your written response.

10

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

A.SSE.2

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

A.SSE.2

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

No; Factoring out the GCF 2 yields 2(x² + x + 1), but there are no real factors of ac with a sum of b.

Yes; All quadratic trinomials can be factored as the product of two binomials.

A.SSE.2

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Take Note: Define perfect square trinomial.
You may use the canvas to help illustrate your written definition.

10

Take Note: What do you know about the first and third terms of all perfect square trinomials?
You may use the canvas to help illustrate your written definition.

10

5

Take Note: Provide an example of a perfect square trinomial written in standard form.

10

Problem 4 Got It?

A

B

C

D

A.SSE.2

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Take Note: Define difference of two squares.
You may use the canvas to help illustrate your written definition.

10

Take Note: Summarize the process for recognizing a difference of two squares.
You may use the canvas to help illustrate your written definition.

5

Take Note: Provide an example of a difference of two squares written in standard form.

10

Problem 5 Got It?

A

B

C

D

A.SSE.2

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Algebra 2 4-4 Guided Practice: Factoring Quadratic Expressions

Video Check: Select all that apply with regards to the video embedded directly above this item.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define factoring. You may use the canvas to help illustrate your written definition.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define greatest common factor (GCF) of an expression.You may use the canvas to help illustrate your written definition.

Take Note: Provide an example of a simplified binomial that has a GCF of 7x.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process for factoring a quadratic trinomial of the form: ax^{2}+bx+c, \ \ a\ne1when there is no common factor.You may use the canvas to help illustrate your written response.

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.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define perfect square trinomial.You may use the canvas to help illustrate your written definition.

Take Note: What do you know about the first and third terms of all perfect square trinomials?You may use the canvas to help illustrate your written definition.

Take Note: Provide an example of a perfect square trinomial written in standard form.

Problem 4 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define difference of two squares.You may use the canvas to help illustrate your written definition.

Take Note: Summarize the process for recognizing a difference of two squares.You may use the canvas to help illustrate your written definition.

Take Note: Provide an example of a difference of two squares written in standard form.

Problem 5 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define factoring. You may use the canvas to help illustrate your written definition.

Identify the first terms in the pair of binomials.

Identify the outer terms in the pair of binomials.

Identify the inner terms in the pair of binomials.

Identify the last terms in the pair of binomials.

Take Note: Place the steps used in the FOIL method in the correct order.

Take Note: Summarize the process of using the FOIL method to multiply binomials. You may illustrate your explanation on the canvas, but be sure to describe it in the response field as well.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define greatest common factor (GCF) of an expression.You may use the canvas to help illustrate your written definition.

Take Note: Provide an example of a simplified binomial that has a GCF of 7x.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Summarize the process for factoring a quadratic trinomial of the form: ax^{2}+bx+c, \ \ a\ne1when there is no common factor.You may use the canvas to help illustrate your written response.

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.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define perfect square trinomial.You may use the canvas to help illustrate your written definition.

Take Note: What do you know about the first and third terms of all perfect square trinomials?You may use the canvas to help illustrate your written definition.

Take Note: What do you know about the middle term of all perfect square trinomials?You may use the canvas to help illustrate your written definition.

Take Note: Provide an example of a perfect square trinomial written in standard form.

Problem 4 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define difference of two squares.You may use the canvas to help illustrate your written definition.

Take Note: Summarize the process for recognizing a difference of two squares.You may use the canvas to help illustrate your written definition.

Take Note: Provide an example of a difference of two squares written in standard form.

Problem 5 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Identify the first terms in the pair of binomials.

Identify the outer terms in the pair of binomials.

Identify the inner terms in the pair of binomials.

Identify the last terms in the pair of binomials.

Take Note: Place the steps used in the FOIL method in the correct order.

Take Note: Summarize the process of using the FOIL method to multiply binomials. You may illustrate your explanation on the canvas, but be sure to describe it in the response field as well.

Take Note: What do you know about the middle term of all perfect square trinomials?You may use the canvas to help illustrate your written definition.

Take Note: Define factoring.
You may use the canvas to help illustrate your written definition.

Take Note: Define greatest common factor (GCF) of an expression.
You may use the canvas to help illustrate your written definition.

Take Note: Summarize the process for factoring a quadratic trinomial of the form: ax^{2}+bx+c, \ \ a\ne1
when there is no common factor.
You may use the canvas to help illustrate your written response.

Take Note: Define perfect square trinomial.
You may use the canvas to help illustrate your written definition.

Take Note: What do you know about the first and third terms of all perfect square trinomials?
You may use the canvas to help illustrate your written definition.

Take Note: Define difference of two squares.
You may use the canvas to help illustrate your written definition.

Take Note: Summarize the process for recognizing a difference of two squares.
You may use the canvas to help illustrate your written definition.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Define factoring.
You may use the canvas to help illustrate your written definition.

Take Note: Summarize the process of using the FOIL method to multiply binomials.
You may illustrate your explanation on the canvas, but be sure to describe it in the response field as well.

Take Note: Define greatest common factor (GCF) of an expression.
You may use the canvas to help illustrate your written definition.

Take Note: Summarize the process for factoring a quadratic trinomial of the form: ax^{2}+bx+c, \ \ a\ne1
when there is no common factor.
You may use the canvas to help illustrate your written response.

Take Note: Define perfect square trinomial.
You may use the canvas to help illustrate your written definition.

Take Note: What do you know about the first and third terms of all perfect square trinomials?
You may use the canvas to help illustrate your written definition.

Take Note: What do you know about the middle term of all perfect square trinomials?
You may use the canvas to help illustrate your written definition.

Take Note: Define difference of two squares.
You may use the canvas to help illustrate your written definition.

Take Note: Summarize the process for recognizing a difference of two squares.
You may use the canvas to help illustrate your written definition.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Summarize the process of using the FOIL method to multiply binomials.
You may illustrate your explanation on the canvas, but be sure to describe it in the response field as well.

Take Note: What do you know about the middle term of all perfect square trinomials?
You may use the canvas to help illustrate your written definition.