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

By Matt Richardson
Last updated almost 3 years ago
25 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.

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.

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.

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

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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
  • 7x + 2 < 16
  • (1/2)t - 4 ≥ -3
  • -0.08 > 0.35k - 0.15

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.

  • 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.

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 __?__.

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

  • 1200
  • 1.25
  • 5
  • 1276.9
  • Principal
  • Interest rate
  • Time in years
  • Balance
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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
  • 1.05
  • 100%
  • 0.93
  • 1
  • Growth factor
  • Decay factor
  • None of these

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

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