Algebra 1 7-5 Complete Lesson: Rational Exponents and Radicals

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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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Algebra 1 7-5 Complete Lesson: Rational Exponents and Radicals

Algebra 1 7-5 Complete Lesson: Rational Exponents and Radicals

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c? Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Error Analysis: What is the error in the problem shown?

What is the correct simplified form?

Reasoning: Write a rule for multiplying two radicals with the same radicand. Justify why your rule works.

Reasoning: Is this equation true?

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 5-5: Identify the form of each equation.

Review Lesson 5-5: Is the equation in standard form? Explain.

Review Lesson 5-5: Match each equation from the left column with its equivalent standard form equation in the right column.

Vocabulary Review: Simplify the square root expression.

Vocabulary Review: Simplify the square root expression.

Vocabulary Review: Simplify the square root expression.Enter only a number.

Vocabulary Review: Identify the base and exponent in the exponential expression.

Use Your Vocabulary: What is the index of the radical expression?Enter only a number.

Use Your Vocabulary: What is the index of the radical expression?Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

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.

Reflection: Math Success

Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c? Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 4 Got It?

Error Analysis: What is the error in the problem shown?

What is the correct simplified form?

Reasoning: Write a rule for multiplying two radicals with the same radicand. Justify why your rule works.

Reasoning: Is this equation true?

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 5-5: Identify the form of each equation.

Review Lesson 5-5: Is the equation in standard form? Explain.

Review Lesson 5-5: Match each equation from the left column with its equivalent standard form equation in the right column.

Vocabulary Review: Simplify the square root expression.

Vocabulary Review: Simplify the square root expression.

Vocabulary Review: Simplify the square root expression.Enter only a number.

Vocabulary Review: Identify the base and exponent in the exponential expression.

Use Your Vocabulary: What is the index of the radical expression?Enter only a number.

Use Your Vocabulary: What is the index of the radical expression?Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

Use Your Vocabulary: Find the cube of the number.Enter only a number.

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.

Reflection: Math Success

Vocabulary Review: Simplify the square root expression.
Enter only a number.

Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.

Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

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.

Vocabulary Review: Simplify the square root expression.
Enter only a number.

Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.

Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

Use Your Vocabulary: Find the cube of the number.
Enter only a number.

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.