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Algebra 1 7-8 Complete Lesson: Geometric Sequences

By Matt Richardson
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Last updated about 2 years ago
31 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.
10
1.
Solve It! Imagine working part time at a clothing store. Each week a coat doesn't sell, its price is marked down 20%. What will the sale price for the coat be after three weeks of not selling? Enter the dollar amount in this form: $71.23
10
2.
Problem 1 Got It?
10
3.
Problem 1 Got It?
10
4.
Problem 1 Got It?
10
5.
Problem 1 Got It?
10
6.
Problem 2 Got It?
F.BF.2
F.LE.2
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7.
Problem 2 Got It?
F.BF.2
F.LE.2
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8.
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.
F.LE.2
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9.
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.
F.LE.2
20
10.
Problem 4 Got It? A geometric sequence has an initial value of 2 and a common ratio of 3. Write a function to represent the sequence. Graph the function. Include all relevant graph detail.
F.LE.2
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11.
A.SSE.1.a
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12.
Is the following a geometric sequence? If so, find the common ratio.
Write your answer in one of these formats: "yes; 1/2" or "no"
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13.
A.SSE.1.a
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14.
Vocabulary Review: Write the ratio in simplest form.
Use fraction form.
40
15.
Write the explicit and recursive formulas for each sequence on the canvas.
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16.
Error Analysis: A friend provides the following recursive formula for the geometric sequence 1, -1, 1, -1, 1, ...
Explain your friend's error and give the correct recursive formula for the sequence.
F.BF.2
F.LE.2
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17.
Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.
F.BF.2
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18.
Review Lesson 2-10: The value 25 is increased by 50%. What is the new value? Enter only an exact decimal for your response.
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19.
Review Lesson 2-3: Match each solution with the appropriate equation(s).
  • x = -2
  • x = 16
  • x = -8
  • 3x + 7 = 2x - 1
  • x รท 2 + 5 = -x + 2
  • 4(x - 3) = 20 + 2x
  • x + -8 = 2x
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20.
Review Lesson 2-10: A price changes from $40 to $70. What is the percent change?
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21.
Review Lesson 1-8: Simplify the expression.
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22.
Review Lesson 1-8: Simplify the expression.
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23.
Review Lesson 1-8: Simplify the expression.
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24.
Review Lesson 4-7: Write the recursive and explicit formulas for each arithmetic sequence.

0, 9, 18, 27,...

5, 3, 1, -1,...

-7, -3, 1, 5,...
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25.
Vocabulary Review: Complete the sentence.
  • greatest common factor
  • least common multiple
  • To write a ratio in simplest form, divide the numerator and denominator by their __?__.
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26.
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
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27.
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
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28.
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
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29.
Use Your Vocabulary: Identify the starting value and common ratio for each geometric sequence.
  • Starting value: -2
  • Common ratio: -2
  • Starting value: 1
  • Common ratio: 2
  • Starting value: 2
  • Common ratio: 5
  • Common ratio: -1
  • 2, 4, 8, 16, 32,...
  • 1, -1, 1, -1, 1,...
  • 1, 5, 25, 125, 625,...
  • -2, 4, -8, 16, -32,...
100
30.
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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31.
Reflection: Math Success