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Algebra 1 4-7 Complete Lesson: Arithmetic Sequences

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Last updated over 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.

10
A.SSE.1.a
F.BF.1.a
+2
10
F.BF.1.a
F.IF.3
F.LE.2
10
A.SSE.1.a
F.BF.1.a
+2
10
F.BF.1.a
F.IF.3
10
A.SSE.1.a
F.BF.1.a
+2
10
F.BF.1.a
F.IF.3
10
A.SSE.1.a
F.BF.1.a
+2
10
F.BF.1.a
F.IF.3
10
10
A.SSE.1.a
F.BF.1.a
F.IF.3
10
A.SSE.1.a
F.BF.1.a
F.IF.3
10
F.IF.1
F.IF.2
10
F.IF.1
F.IF.2
10
N.Q.1
10
10
10
10
100
10
F.BF.1.a
F.IF.3
F.LE.2
10
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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
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2.

Problem 1 Got It?

F.BF.1.a
F.IF.3
10
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3.

Problem 1 Got It?

F.BF.1.a
F.IF.3
10
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4.

Problem 1 Got It?

F.BF.1.a
F.IF.3
10
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5.

Problem 1 Got It?

F.BF.1.a
F.IF.3
10
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6.

Problem 2 Got It?

F.BF.1.a
F.IF.3
10
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7.

Problem 2 Got It?

F.BF.1.a
F.IF.3
10
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8.

Problem 2 Got It?

F.BF.1.a
F.IF.3
10
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9.

Problem 2 Got It?

F.BF.1.a
F.IF.3
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10.

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

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11.

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

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12.

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

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13.

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

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14.

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

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15.

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

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16.

Problem 3 Got It? Write a recursive formula for the arithmetic sequence.

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17.

Problem 3 Got It? What is the 9th term of the arithmetic sequence?

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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
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19.

Problem 4 Got It?

A.SSE.1.a
F.BF.1.a
+2
10
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20.

Problem 4 Got It?

A.SSE.1.a
F.IF.3
10
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21.

Problem 5 Got It?

A.SSE.1.a
F.BF.1.a
+2
10
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22.

Problem 5 Got It?

A.SSE.1.a
F.BF.1.a
+2
10
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23.

Problem 6 Got It?

A.SSE.1.a
F.BF.1.a
+2
10
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24.

Problem 6 Got It?

A.SSE.1.a
F.BF.1.a
+2
10
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25.
F.BF.1.a
F.IF.3
10
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26.
F.BF.1.a
F.IF.3
10
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27.
F.BF.1.a
F.IF.3
10
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28.
F.BF.1.a
F.IF.3
10
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29.
A.SSE.1.a
F.BF.1.a
+2
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30.

Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...

Is the common difference 6 or -6?

10
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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.BF.1.a
+2
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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

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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

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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.

5
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36.

Vocabulary Review: What is the name of the next shape in the pattern shown?

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37.

Vocabulary Review: What is the next number in the pattern?

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38.

Vocabulary Review: What is the next number in the pattern?

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39.

Vocabulary Review: What is the next number in the pattern?

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40.

Use Your Vocabulary: The set is a sequence.

Explain the pattern.

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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.

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42.

Reflection: Math Success