Algebra 1 7-7 Complete Lesson: Exponential Growth and Decay

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Solve It! The half-life of a radioactive substance is the length of time it takes for half of the atoms in a sample of the substance to decay. The half-life of uranium-238 is expressed in scientific noation below.
Suppose you have a sample of 1000 uranium-238 atoms. How many atoms of uranium-238 are left after the following number of years?
Enter only the number of atoms.

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Problem 1 Got It?

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Vocabulary: Define compound interest in your own words.

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Reasoning: How can you simplify the compound interest formula when the interest is compounded annually? Explain.

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Error Analysis: A student deposits $500 into an account that earns 3.5% interest compounded quarterly. Describe and correct the student's error in calculating the account balance after 2 yr.

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Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

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Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

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Review Lesson 7-6: Graph the function on the canvas. Include all relevant graph detail.

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Review Lesson 3-4: Match each value with

-5
-1
0
2
8

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Review Lesson 4-7: Write an explicit formula for each arithmetic sequence on the canvas.

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Vocabulary Review: Match each situation and the equation that models it.

A person begins with $100 and earns $2 each day.
A person begins with $2 and earns $100 each day.
A person begins with $100. Each day the money doubles.

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Use Your Vocabulary: Use the words in the left column to correctly complete each sentence on the right.

compound interest
simple interest
principal

The amount of money deposited in an account is the __?__.
The amount of money earned on an investment only is __?__.
Interest earned on both the principal and the interest left in the account is __?__.

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Use Your Vocabulary: Use the situation below and identify the principal, interest rate, time in years, and balance.

1200
1.25
5
1276.9

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Use Your Vocabulary: Classify the values based on whether they could be a growth factor or decay factor.

85%
3
1/2

100

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 7-7 Complete Lesson: Exponential Growth and Decay

Problem 1 Got It?

Vocabulary: Define compound interest in your own words.

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Reasoning: How can you simplify the compound interest formula when the interest is compounded annually? Explain.

Error Analysis: A student deposits $500 into an account that earns 3.5% interest compounded quarterly. Describe and correct the student's error in calculating the account balance after 2 yr.

Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 7-6: Graph the function on the canvas. Include all relevant graph detail.

Review Lesson 3-4: Match each value with

Review Lesson 4-7: Write an explicit formula for each arithmetic sequence on the canvas.

Vocabulary Review: Match each situation and the equation that models it.

Use Your Vocabulary: Use the words in the left column to correctly complete each sentence on the right.

Use Your Vocabulary: Use the situation below and identify the principal, interest rate, time in years, and balance.

Use Your Vocabulary: Classify the values based on whether they could be a growth factor or decay factor.

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 1 Got It?

Vocabulary: Define compound interest in your own words.

Problem 2 Got It?

Problem 3 Got It?

Problem 3 Got It?

Reasoning: How can you simplify the compound interest formula when the interest is compounded annually? Explain.

Error Analysis: A student deposits $500 into an account that earns 3.5% interest compounded quarterly. Describe and correct the student's error in calculating the account balance after 2 yr.

Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 7-6: Graph the function. Zoom and pan your graph to establish an appropriate viewing window.

Review Lesson 7-6: Graph the function on the canvas. Include all relevant graph detail.

Review Lesson 3-4: Match each value with

Review Lesson 4-7: Write an explicit formula for each arithmetic sequence on the canvas.

Vocabulary Review: Match each situation and the equation that models it.

Use Your Vocabulary: Use the words in the left column to correctly complete each sentence on the right.

Use Your Vocabulary: Use the situation below and identify the principal, interest rate, time in years, and balance.

Use Your Vocabulary: Classify the values based on whether they could be a growth factor or decay factor.

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

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.

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.