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Algebra 1 4-7 Complete Lesson: Arithmetic Sequences

By Matt Richardson
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Last updated about 2 years ago
42 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! A wooden post-and-rail fence with two rails is made as shown. Find the number of pieces of wood needed to build a 4-section fence, a 5-section fence, and a 6-section fence. Not all items will be used.
  • 13 pieces
  • 16 pieces
  • 19 pieces
  • 20 pieces
  • 24 pieces
  • 25 pieces
  • 26 pieces
  • 27 pieces
  • 4-section fence
  • 5-section fence
  • 6-section fence
F.IF.3
F.LE.2
10
2.
Problem 1 Got It?
F.IF.3
F.BF.1.a
10
3.
Problem 1 Got It?
F.IF.3
F.BF.1.a
10
4.
Problem 1 Got It?
F.IF.3
F.BF.1.a
10
5.
Problem 1 Got It?
F.IF.3
F.BF.1.a
10
6.
Problem 2 Got It?
F.IF.3
F.BF.1.a
10
7.
Problem 2 Got It?
F.IF.3
F.BF.1.a
10
8.
Problem 2 Got It?
F.IF.3
F.BF.1.a
10
9.
Problem 2 Got It?
F.IF.3
F.BF.1.a
10
10.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
11.
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
F.IF.3
F.BF.1.a
F.LE.2
10
12.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
13.
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
F.IF.3
F.BF.1.a
10
14.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
15.
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
F.IF.3
F.BF.1.a
10
16.
Problem 3 Got It? Write a recursive formula for the arithmetic sequence.
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
17.
Problem 3 Got It? What is the 9th term of the arithmetic sequence?
F.IF.3
F.BF.1.a
10
18.
Problem 3 Got It? Reasoning: Is a recursive formula a useful way to find a value of an arithmetic sequence?
HINT: What if you want to find the 91st term in an arithmetic sequence?
10
19.
Problem 4 Got It?
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
20.
Problem 4 Got It?
A.SSE.1.a
F.IF.3
10
21.
Problem 5 Got It?
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
22.
Problem 5 Got It?
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
23.
Problem 6 Got It?
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
24.
Problem 6 Got It?
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
25.
F.IF.3
F.BF.1.a
10
26.
F.IF.3
F.BF.1.a
10
27.
F.IF.3
F.BF.1.a
10
28.
F.IF.3
F.BF.1.a
10
29.
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
30.
Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...
Is the common difference 6 or -6?
A.SSE.1.a
F.IF.3
F.BF.1.a
10
10
32.
Error Analysis: Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28, ...
A.SSE.1.a
F.IF.3
F.BF.1.a
F.LE.2
10
33.
Review Lesson 4-6: Consider the function.
Match each domain element in the left column with its related range element in the right column. Use each domain element only once.
  • -3
  • -1.25
  • 0
  • 1
  • 10
  • 5
  • -40
  • 12
  • 0
  • -4
F.IF.1
F.IF.2
10
34.
Review Lesson 4-6: Consider the function.
Match each domain element in the left column with its related range element in the right column. Use each domain element only once.
  • -3
  • -1
  • 0
  • 1
  • 10
  • 300
  • 0
  • 27
  • 3
F.IF.1
F.IF.2
10
35.
Review Lesson 2-6: Fill in the blanks.
  • 5.25
  • 480
  • 132
  • A pool fills at a rate of 8 gal/min. This is __?__ gal/h.
  • A ball is thrown at a speed of 90 mi/h. This is __?__ ft/sec.
  • You buy bottled water in 12-packs that cost $3 each. If you drink 3 bottles per day, your cost is $__?__ per week.
N.Q.1
5
36.
Vocabulary Review: What is the name of the next shape in the pattern shown?
10
37.
Vocabulary Review: What is the next number in the pattern?
10
38.
Vocabulary Review: What is the next number in the pattern?
10
39.
Vocabulary Review: What is the next number in the pattern?
10
40.
Use Your Vocabulary: The set is a sequence.

Explain the pattern.
100
41.
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
42.
Reflection: Math Success
F.IF.3
F.BF.1.a
F.LE.2