Algebra 1 7-8 Complete Lesson: Geometric Sequences
By Matt Richardson
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Last updated almost 3 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 points
10
Question 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
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 points
10
Question 2
2.
Problem 1 Got It?
Problem 1 Got It?
10 points
10
Question 3
3.
Problem 1 Got It?
Problem 1 Got It?
10 points
10
Question 4
4.
Problem 1 Got It?
Problem 1 Got It?
10 points
10
Question 5
5.
Problem 1 Got It?
Problem 1 Got It?
10 points
10
Question 6
6.
Problem 2 Got It?
Problem 2 Got It?
F.BF.2
F.LE.2
10 points
10
Question 7
7.
Problem 2 Got It?
Problem 2 Got It?
F.BF.2
F.LE.2
10 points
10
Question 8
8.
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.
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
10 points
10
Question 9
9.
Problem 3 Got It? Write a recursive formula and an explicit formula for the sequence. Find the 8th term of the sequence.
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 points
20
Question 10
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.
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
10 points
10
Question 11
11.
A.SSE.1.a
10 points
10
Question 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"
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"
10 points
10
Question 13
13.
A.SSE.1.a
10 points
10
Question 14
14.
Vocabulary Review: Write the ratio in simplest form. Use fraction form.
Vocabulary Review: Write the ratio in simplest form.
Use fraction form.
40 points
40
Question 15
15.
Write the explicit and recursive formulas for each sequence on the canvas.
Write the explicit and recursive formulas for each sequence on the canvas.
10 points
10
Question 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.
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
10 points
10
Question 17
17.
Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.
Critical Thinking: Describe the similarities and differences between arithmetic and geometric sequences.
F.BF.2
10 points
10
Question 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.
Review Lesson 2-10: The value 25 is increased by 50%. What is the new value? Enter only an exact decimal for your response.
10 points
10
Question 19
19.
Review Lesson 2-3: Match each solution with the appropriate equation(s).
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
10 points
10
Question 20
20.
Review Lesson 2-10: A price changes from $40 to $70. What is the percent change?
Review Lesson 2-10: A price changes from $40 to $70. What is the percent change?
10 points
10
Question 21
21.
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
10 points
10
Question 22
22.
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
10 points
10
Question 23
23.
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
10 points
10
Question 24
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,...
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,...
10 points
10
Question 25
25.
Vocabulary Review: Complete the sentence.
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 __?__.
10 points
10
Question 26
26.
Vocabulary Review: Write the ratio in simplest form. Use this format: 1/2
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
10 points
10
Question 27
27.
Vocabulary Review: Write the ratio in simplest form. Use this format: 1/2
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
10 points
10
Question 28
28.
Vocabulary Review: Write the ratio in simplest form. Use this format: 1/2
Vocabulary Review: Write the ratio in simplest form.
Use this format: 1/2
10 points
10
Question 29
29.
Use Your Vocabulary: Identify the starting value and common ratio for each geometric sequence.
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 points
100
Question 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.
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.
10 points
10
Question 31
31.
Reflection: Math Success
Reflection: Math Success