Algebra 2 6-3 Guided Practice: Binomial Radical Expressions

Last updated about 3 years ago

27 questions

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Algebra 2 6-3 Guided Practice: Binomial Radical Expressions

Last updated about 3 years ago

27 questions

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10

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

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Draggable item		Corresponding Item

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A.SSE.2

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Take Note: FOIL helps us remember to distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for? You may use the canvas to help illustrate your written response.

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A.SSE.2

3

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Take Note: What are conjugates ?

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🧠 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.

🕵️ 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.

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 like radicals. You may use the canvas to help illustrate your written definition.

Take Note: Use the properties of like radicals to match equivalent expressions below.

Draggable item		Corresponding Item
3\sqrt{2xy}		4\sqrt{5}
\sqrt[3]{xy}-5\sqrt[3]{xy}		5\sqrt{2xy}-2\sqrt{2xy}
\sqrt{5}+3\sqrt{5}		-4\sqrt[3]{xy}

10

A.SSE.2

10

A.SSE.2

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A.SSE.2

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.

Take Note: Categorize each radical expression on the left.

3\sqrt{3}-5\sqrt{3}
\sqrt[3]{11}+16\sqrt[3]{11}
\sqrt{3}+\sqrt{5}
\sqrt{7x}-5\sqrt{7x}
4\sqrt{2}+\sqrt{2x}

In simplest form (no like radicals)
NOT in simplest form (like radicals can be combined)

Problem 2 Got It? Find the perimeter of the stained-glass window if the side of each small square is 6 in.

About 64.3 inches.

About 60 inches.

About 84.9 inches.

About 30 inches.

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

A.SSE.2

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: FOIL helps us remember to distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for? You may use the canvas to help illustrate your written response.

10

Take Note: Products like the one below often occur when multiplying binomial radical expressions.
Evaluate the expression. Write the product in its simplest form.

10

A.SSE.2

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: What are conjugates ?

10

Take Note: What is the conjugate of the radical expression below?

10

A.SSE.2

10

A.SSE.2

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 6 Got It? How can you write the expression below with a rationalized denominator?

Problem 6 Got It? How can you write the expression below with a rationalied denominator?

Problem 6 Got It? Suppose you were going to rationalize the denominator of the expression.
Would you simplify √8 before or after rationalizing? Explain your answer.

Before rationalizing; radicals should ALWAYS be simplified first when rationalizing a denominator.

After rationalizing; multiplying the numerator by the conjugate of the denominator is more convenient if √8 is not yet simplified.

10

🧠 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.

🕵️ 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.

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.

Take Note: Use the properties of like radicals to match equivalent expressions below.

3\sqrt{2xy}

4\sqrt{5}

\sqrt[3]{xy}-5\sqrt[3]{xy}

5\sqrt{2xy}-2\sqrt{2xy}

\sqrt{5}+3\sqrt{5}

-4\sqrt[3]{xy}

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

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.

Take Note: Categorize each radical expression on the left.

3\sqrt{3}-5\sqrt{3}

\sqrt[3]{11}+16\sqrt[3]{11}

\sqrt{3}+\sqrt{5}

\sqrt{7x}-5\sqrt{7x}

4\sqrt{2}+\sqrt{2x}

In simplest form (no like radicals)

NOT in simplest form (like radicals can be combined)

Problem 2 Got It? Find the perimeter of the stained-glass window if the side of each small square is 6 in.

About 64.3 inches.

About 60 inches.

About 84.9 inches.

About 30 inches.

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.

Problem 3 Got It?

A

B

C

D

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.

Take Note: Products like the one below often occur when multiplying binomial radical expressions.
Evaluate the expression. Write the product in its simplest form.

Problem 4 Got It?

A

B

C

D

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.

Take Note: What is the conjugate of the radical expression below?

Problem 5 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

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.

Take Note: Consider the process of rationalizing the denominator in the expression below.
What would you multiply the expression by in order to begin to rationalize the denominator?

\frac{\sqrt{2}-\sqrt{5}}{\sqrt{2}-\sqrt{5}}

\frac{\sqrt{3}}{\sqrt{3}}

\frac{-\sqrt{2}}{-\sqrt{2}}

\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}-\sqrt{2}}

Problem 6 Got It? How can you write the expression below with a rationalized denominator? 

Problem 6 Got It? How can you write the expression below with a rationalied denominator? 

Problem 6 Got It? Suppose you were going to rationalize the denominator of the expression. 
 Would you simplify √8 before or after rationalizing? Explain your answer.

Before rationalizing; radicals should ALWAYS be simplified first when rationalizing a denominator.

After rationalizing; multiplying the numerator by the conjugate of the denominator is more convenient if √8 is not yet simplified.

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

Problem 1 Got It?

A

B

C

D

Problem 3 Got It?

A

B

C

D

Problem 4 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Problem 5 Got It?

A

B

C

D

Take Note: Consider the process of rationalizing the denominator in the expression below. 
What would you multiply the expression by in order to begin to rationalize the denominator?

\frac{\sqrt{2}-\sqrt{5}}{\sqrt{2}-\sqrt{5}}

\frac{\sqrt{3}}{\sqrt{3}}

\frac{-\sqrt{2}}{-\sqrt{2}}

\frac{\sqrt{5}-\sqrt{2}}{\sqrt{5}-\sqrt{2}}

Algebra 2 6-3 Guided Practice: Binomial Radical Expressions

Algebra 2 6-3 Guided Practice: Binomial Radical Expressions

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

Take Note: FOIL helps us remember to distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for? You may use the canvas to help illustrate your written response.

Take Note: What are conjugates ?

🧠 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 like radicals. You may use the canvas to help illustrate your written definition.

Take Note: Use the properties of like radicals to match equivalent expressions below.

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

Take Note: Categorize each radical expression on the left.

Problem 2 Got It? Find the perimeter of the stained-glass window if the side of each small square is 6 in.

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: FOIL helps us remember to distribute each term when multiplying two binomials. What do the letters F, O, I, and L stand for? You may use the canvas to help illustrate your written response.

Take Note: Products like the one below often occur when multiplying binomial radical expressions. Evaluate the expression. Write the product in its simplest form.

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

Take Note: What are conjugates ?

Take Note: What is the conjugate of the radical expression below?

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

Problem 6 Got It? How can you write the expression below with a rationalized denominator?

Problem 6 Got It? How can you write the expression below with a rationalied denominator?

Problem 6 Got It? Suppose you were going to rationalize the denominator of the expression. Would you simplify √8 before or after rationalizing? Explain your answer.

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

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 3 Got It?

Take Note: Products like the one below often occur when multiplying binomial radical expressions. Evaluate the expression. Write the product in its simplest form.

Problem 4 Got It?

Take Note: What is the conjugate of the radical expression below?

Problem 5 Got It?

Problem 5 Got It?

Take Note: Consider the process of rationalizing the denominator in the expression below. What would you multiply the expression by in order to begin to rationalize the denominator?

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

Take Note: Products like the one below often occur when multiplying binomial radical expressions.
Evaluate the expression. Write the product in its simplest form.

Problem 6 Got It? Suppose you were going to rationalize the denominator of the expression.
Would you simplify √8 before or after rationalizing? Explain your answer.

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

Take Note: Products like the one below often occur when multiplying binomial radical expressions.
Evaluate the expression. Write the product in its simplest form.

Take Note: Consider the process of rationalizing the denominator in the expression below.
What would you multiply the expression by in order to begin to rationalize the denominator?