Algebra 1 7-8 Complete Lesson: Geometric Sequences

4.5 (1 rating)

by Matthew Richardson

| 31 QuestionsNote 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.

1

1

10 pts

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

2

2

10 pts

Problem 1 Got It?

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C

D

3

3

10 pts

Problem 1 Got It?

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4

4

10 pts

Problem 1 Got It?

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D

5

5

10 pts

Problem 1 Got It?

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6

6

10 pts

Problem 2 Got It?

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D

7

7

10 pts

Problem 2 Got It?

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D

8

10 pts

Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.

9

10 pts

Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.

10

20 pts

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.

11

11

10 pts

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12

10 pts

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"

13

13

10 pts

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C

D

14

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use fraction form.

15

40 pts

Write the explicit and recursive formulas for each sequence on the canvas.

16

10 pts

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.

17

10 pts

Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.

18

10 pts

Review Lesson 2-10: The value 25 is increased by 50%. What is the new value? Enter only an exact decimal for your response.

19

10 pts

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

20

10 pts

Review Lesson 2-10: A price changes from $40 to $70. What is the percent change?

133%

175%

75%

43%

21

10 pts

Review Lesson 1-8: Simplify the expression.

22

10 pts

Review Lesson 1-8: Simplify the expression.

23

10 pts

Review Lesson 1-8: Simplify the expression.

24

10 pts

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,...

25

10 pts

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 __?__.

26

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

1/4

1/2

3/4

4/3

27

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

28

10 pts

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

29

10 pts

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,...

30

100 pts

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.

31

10 pts

Reflection: Math Success

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