Algebra 2 6-3 Complete Lesson: Binomial Radical Expressions

Last updated almost 4 years ago
35 questions
Note from the author:
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 1 Got It?

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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.

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Problem 3 Got It?

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Problem 4 Got It?

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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.

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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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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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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.

  • 3
  • -bc
  • 29
  • -10bc
  • 5a
  • 0.5y
  • 4xy²
  • Like terms with -10
  • Like terms with 3bc
  • Like terms with -0.5
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Use Your Vocabulary: Categorize each expression.

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