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Algebra 1 7-8 Complete Lesson: Geometric Sequences

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Posljednje ažuriranje about 4 years ago
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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.

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Pitanje 1
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

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Pitanje 2
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Problem 1 Got It?

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Pitanje 3
3.

Problem 1 Got It?

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Pitanje 4
4.

Problem 1 Got It?

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Pitanje 5
5.

Problem 1 Got It?

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Pitanje 6
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Problem 2 Got It?

F.BF.2
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Pitanje 7
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Problem 2 Got It?

F.BF.2
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Pitanje 8
8.

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

Pitanje 9
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Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.

Pitanje 10
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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.

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Pitanje 11
11.
A.SSE.1.a
Pitanje 12
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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Pitanje 13
13.
A.SSE.1.a
Pitanje 14
14.

Vocabulary Review: Write the ratio in simplest form.

Use fraction form.

Pitanje 15
15.

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

Pitanje 16
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.

Pitanje 17
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Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.

Pitanje 18
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.

Pitanje 19
19.

Review Lesson 2-3: Match each solution with the appropriate equation(s).

  • x = -2

  • x = 16

  • x = -8

  • 3x + 7 = 2x - 1

  • x ÷ 2 + 5 = -x + 2

  • 4(x - 3) = 20 + 2x

  • x + -8 = 2x

Pitanje 20
20.

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

Pitanje 21
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Review Lesson 1-8: Simplify the expression.

Pitanje 22
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Review Lesson 1-8: Simplify the expression.

Pitanje 23
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Review Lesson 1-8: Simplify the expression.

Pitanje 24
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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,...

Pitanje 25
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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 __?__.

Pitanje 26
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Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

Pitanje 27
27.

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

Pitanje 28
28.

Vocabulary Review: Write the ratio in simplest form.

Use this format: 1/2

Pitanje 29
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,...

Pitanje 30
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.

Pitanje 31
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Reflection: Math Success