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Algebra 2 6-3 Complete Lesson: Binomial Radical Expressions

Last updated over 4 years ago

35 Nsɛmmisa

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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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Problem 1 Got It?

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

About 84.9 inches.

About 60 inches.

About 64.3 inches.

About 30 inches.

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Problem 5 Got It?

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Problem 5 Got It?

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

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

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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.

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19.

Vocabulary: Consider whether to following is a pair of like radicals.

If not, simply write "No" using the math input tool.
If so, write their sum.

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Vocabulary: Consider whether to following is a pair of like radicals.
If not, simply write "No" using the math input tool.
If so, write their sum.

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21.

Vocabulary: Consider whether to following is a pair of like radicals.
If not, simply write "No" using the math input tool.
If so, write their sum.

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Review Lesson 6-2: Simplify the expression. Rationalize all denominators.

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Review Lesson 6-2: Simplify the expression.

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Review Lesson 6-2: Simplify the expression.

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Review Lesson 5-3: Identify the real and imaginary solutions of each equation.

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Preview Lesson 6-4: Simplify the expression using properties of exponents.

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Preview Lesson 6-4: Simplify the expression using properties of exponents.

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Preview Lesson 6-4: Simplify the expression using properties of exponents.

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Preview Lesson 6-4: Simplify the expression using properties of exponents.

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Vocabulary Review: Group the terms on the left with their like terms on the right. Not all terms on the left will be used.

3y²
-bc
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-10bc
5a
0.5y
4xy²

Like terms with -10y²
Like terms with 3bc
Like terms with -0.5

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32.

Use Your Vocabulary: Categorize each expression.

5x⁴ - 7b + a
s + 15t
21
2xy³ - 4
-17t³

Monomial
Binomial
Trinomial

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Use Your Vocabulary: Fill in the blank with the correct word(s) from the left.

the same
different
radicands
coefficients

To be like radicals, their indexes must be _____?_____.
To add or subtract two like radicals, you add or subtract their _____?_____.

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34.

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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35.

Reflection: Math Success