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Algebra 2 6-2 Complete Lesson: Multiplying and Dividing Radical Expressions

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Last updated over 4 years ago
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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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Solve It! You can cut the 36-square into four 9-squares or nine 4-squares. Which other n-square can you cut into sets of smaller squares in two ways?

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Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

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Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 4 Got It? What is the simplest form of the expression?

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Problem 5 Got It? What is the simplest form of the expression?

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Problem 5 Got It? Which answer choices in Problem 5 could have been eliminated immediately? Explain. Select all that apply.

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Vocabulary: Write the simplest form of the expression.

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Error Analysis: Explain the error in this simiplification of radical expressions.

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Review Lesson 6-1: Simplify the radical expression. Use absolute value symbols when needed.

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Review Lesson 5-4: Divide using synthetic division. Show each step.

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Review Lesson 4-6: Complete each square.

  • 16

  • 25

  • 4

  • x² + 10x + __?__

  • x² - 10x + __?__

  • x² + 4x + __?__

  • x² + 8x + __?__

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Review Lesson 4-8: Write the quotient as a complex number in the form a ± bi.

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Vocabulary Review: Categorize each statement as true or false.

  • All mathematical expressions can be written as an equivalent expression with a denominator of 1.

  • An real number can have a denominator equal to 0.

  • The expression above a fraction bar is called the denominator.

  • Multiplying both the numerator and denominator by the same nonzero number results in an equivalent fraction.

  • True

  • False

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Vocabulary Review: Consider the three rational expressions below.

Drag and drop the expressions on the left to identify them as a numerator or denominator.

  • 5

  • 6

  • -5r²

  • 16

  • r² + s²

  • c - 16

  • Numerators

  • Denominators

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Use Your Vocabulary: Which expression shows the expression below with like terms combined ?

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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

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Solve It! Is there a square you can cut into smaller squares in three ways? Explain.