Algebra 1 7-4 Complete Lesson: Division Properties of Exponents

Last updated almost 4 years ago

28 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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Algebra 1 7-4 Complete Lesson: Division Properties of Exponents

Algebra 1 7-4 Complete Lesson: Division Properties of Exponents

Solve It! A machine makes wooden dowels by removing material from a block of wood as shown in the diagram. What percent of the wood does the maching remove from the original piece of wood to form the dowel?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? What is the simplified form of the expression?

Problem 3 Got It? Reasoning: Describe two different ways to simplify the expression. Which method do you prefer?

Problem 4 Got It?

Reasoning: Ross simplifies the expression as shown. Explain why Ross' method works.

Open-Ended: Write a quotient of powers and use Ross' method from the previous item to simplify it.Show your work on the canvas.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 6-1: Solve each system by graphing. You may use the embedded Desmos graphing utility above.

Review Lesson 4-4: Graph the functions on the same coordinate plane using the indicated colors. Be sure to include all relevant graph detail.

Vocabulary Review: Which expression(s) show a quotient? Select all that apply.

Vocabulary Review: Complete each sentence with positive or negative.

Use Your Vocabulary: Match each equation on the left with the property it illustrates on the right.

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! A machine makes wooden dowels by removing material from a block of wood as shown in the diagram. What percent of the wood does the maching remove from the original piece of wood to form the dowel?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? What is the simplified form of the expression?

Problem 3 Got It? Reasoning: Describe two different ways to simplify the expression. Which method do you prefer?

Problem 4 Got It?

Reasoning: Ross simplifies the expression as shown. Explain why Ross' method works.

Open-Ended: Write a quotient of powers and use Ross' method from the previous item to simplify it.Show your work on the canvas.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 7-3: Simplify the expression.

Review Lesson 6-1: Solve each system by graphing. You may use the embedded Desmos graphing utility above.

Review Lesson 4-4: Graph the functions on the same coordinate plane using the indicated colors. Be sure to include all relevant graph detail.

Vocabulary Review: Which expression(s) show a quotient? Select all that apply.

Vocabulary Review: Complete each sentence with positive or negative.

Use Your Vocabulary: Match each equation on the left with the property it illustrates on the right.

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

Problem 3 Got It? Reasoning: Describe two different ways to simplify the expression.
Which method do you prefer?

Open-Ended: Write a quotient of powers and use Ross' method from the previous item to simplify it.

Show your work on the canvas.

Review Lesson 4-4: Graph the functions on the same coordinate plane using the indicated colors.
Be sure to include all relevant graph detail.

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.

Problem 3 Got It? Reasoning: Describe two different ways to simplify the expression.
Which method do you prefer?

Open-Ended: Write a quotient of powers and use Ross' method from the previous item to simplify it.

Show your work on the canvas.

Review Lesson 4-4: Graph the functions on the same coordinate plane using the indicated colors.
Be sure to include all relevant graph detail.

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.