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

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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?

About 23.57%

24%

About 21.46%

28%

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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 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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

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

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Problem 4 Got It?

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

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

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Review Lesson 7-3: Simplify the expression.

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Review Lesson 7-3: Simplify the expression.

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Review Lesson 7-3: Simplify the expression.

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

No solution
Infinitely many solutions
(3, 5)
(0, 0)
(-4, -7)

y = 3x
y = -2x
y = 2x + 1
y = x - 3
y = 5
x = 3
y = 7
y = 8

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

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

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Vocabulary Review: Complete each sentence with positive or negative.

positive
negative

The quotient of two negative integers is always __?__.
The quotient of two positive integers is always __?__.
The quotient of a negative integer and a positive integer is always __?__.

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

raising a power to a power
identity property of addition
associative property of multiplication

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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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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.