Algebra 2 4-6 Guided Practice: Completing the Square

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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! How can you use pieces like these to form a square with side length x + 3 (and no overlapping pieces)?
HINT: Here is an example that uses the same pieces to form a square with side length x + 2.
Many response options:
Show a sketch of your solution on the canvas. Use bright contrasting colors.
You may also create a copy of this Google Drawing and use it for your model. Then, upload or paste a screenshot to the canvas.
You may also use the virtual algebra tiles at Polypad, screenshot your work, and upload or paste it to the canvas.
You may ask your teacher for real algebra tiles, arrange them, take a photo, and upload that to the canvas.

A.REI.4.b

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: Summarize the process of solving an equation that shows a perfect square trinomial equal to a constant.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

10

Problem 1 Got It?

A

B

C

D

A.REI.4.b

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Problem 1 Got It?

A

B

C

D

A.REI.4.b

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

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

A

B

C

D

A.REI.4.b

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

Problem 3 Got It?

A

B

C

D

A.REI.4.b

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: Summarize the process of completing the square.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

10

Problem 4 Got It? What value completes the square for the expression?

3

6

36

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A.REI.4.b

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Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

No; The in the expression for finding the value that completes the square, (b/2)², each input b provides exactly one output.

Yes; There will sometimes be both a positive and a negative value that completes the square for an expression.

Yes; There will sometimes be mutiple positive values that complete the square for an expression.

A.REI.4.b

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: Place the steps for solving an equation by completing the square in the correct order.

Solve for x.
Rewrite the equation in the form x^{2}+bx=c.
Find square roots.
Complete the square by adding (\frac{b}{2})^2 to each side of the equation.
Factor the trinomial.

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Problem 5 Got It?

A

B

C

D

A.REI.4.b

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: Summarize the process of completing the square to rewrite a quadratic function in vertex form.
NOTE: This is a "free response" Formative item.

10

Problem 6 Got It?

A

B

C

A.SSE.3.b

10

Algebra 2 4-6 Guided Practice: Completing the Square

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: Summarize the process of solving an equation that shows a perfect square trinomial equal to a constant. NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Problem 1 Got It?

Problem 1 Got It?

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

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

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

Problem 3 Got It?

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

Take Note: Summarize the process of completing the square. NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Problem 4 Got It? What value completes the square for the expression?

Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

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

Take Note: Place the steps for solving an equation by completing the square in the correct order.

Problem 5 Got It?

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

Take Note: Summarize the process of completing the square to rewrite a quadratic function in vertex form. NOTE: This is a "free response" Formative item.

Problem 6 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: Summarize the process of solving an equation that shows a perfect square trinomial equal to a constant. NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Problem 1 Got It?

Problem 1 Got It?

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

Problem 2 Got It? The lengths of the sides of a rectangular window have the ratio 1.6 to 1. The area of the window is 2822.4 in.². What are the window dimensions?

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

Problem 3 Got It?

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

Take Note: Summarize the process of completing the square. NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Problem 4 Got It? What value completes the square for the expression?

Problem 4 Got It: Reasoning: Is it possible for more than one value to complete the square for an expression? Explain.

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

Take Note: Place the steps for solving an equation by completing the square in the correct order.

Problem 5 Got It?

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

Take Note: Summarize the process of completing the square to rewrite a quadratic function in vertex form. NOTE: This is a "free response" Formative item.

Problem 6 Got It?

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

Take Note: Summarize the process of solving an equation that shows a perfect square trinomial equal to a constant.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Take Note: Summarize the process of completing the square.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Take Note: Summarize the process of completing the square to rewrite a quadratic function in vertex form.
NOTE: This is a "free response" Formative item.

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

Take Note: Summarize the process of solving an equation that shows a perfect square trinomial equal to a constant.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Take Note: Summarize the process of completing the square.
NOTE: This is a "free response" Formative item. You can include a variety of media in your response.

Take Note: Summarize the process of completing the square to rewrite a quadratic function in vertex form.
NOTE: This is a "free response" Formative item.

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