Algebra 1 7-8 Complete Lesson: Geometric Sequences
By Matt Richardson
starstarstarstarstarstarstarstarstarstar
Last updated over 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
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?
Problem 1 Got It?
10
3.
Problem 1 Got It?
Problem 1 Got It?
10
4.
Problem 1 Got It?
Problem 1 Got It?
10
5.
Problem 1 Got It?
Problem 1 Got It?
10
6.
Problem 2 Got It?
Problem 2 Got It?
F.BF.2
F.LE.2
10
7.
Problem 2 Got It?
Problem 2 Got It?
F.BF.2
F.LE.2
10
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
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
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
11.
A.SSE.1.a
10
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
13.
A.SSE.1.a
10
14.
Vocabulary Review: Write the ratio in simplest form. Use fraction form.
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.
Write the explicit and recursive formulas for each sequence on the canvas.
10
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
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
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
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 รท 2 + 5 = -x + 2
- 4(x - 3) = 20 + 2x
- x + -8 = 2x
10
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
21.
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
10
22.
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
10
23.
Review Lesson 1-8: Simplify the expression.
Review Lesson 1-8: Simplify the expression.
10
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
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
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
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
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
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
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
31.
Reflection: Math Success
Reflection: Math Success