Algebra 1 4-7 Complete Lesson: Arithmetic Sequences

10

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

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Problem 1 Got It?

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B

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D

F.BF.1.a

F.IF.3

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Problem 1 Got It?

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B

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D

F.BF.1.a

F.IF.3

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Problem 1 Got It?

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B

C

D

F.BF.1.a

F.IF.3

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Problem 1 Got It?

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B

C

D

F.BF.1.a

F.IF.3

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Problem 2 Got It?

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F.BF.1.a

F.IF.3

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Problem 2 Got It?

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B

C

D

F.BF.1.a

F.IF.3

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Problem 2 Got It?

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B

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D

F.BF.1.a

F.IF.3

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Problem 2 Got It?

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B

C

D

F.BF.1.a

F.IF.3

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

A(n) = A(n - 1) + 5; A(1) = 3

A(n) = A(n - 1) + 6; A(1) = 3

A(n) = A(n - 1) + 3; A(1) = 3

A(n) = A(n - 1) + 4; A(1) = 3

A.SSE.1.a

F.BF.1.a

…

10

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

A(9) = 35

A(9) = 27

A(9) = 51

A(9) = 9

F.BF.1.a

F.IF.3

F.LE.2

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

A(n) = A(n - 1) + 3; A(1) = 23

A(n) = A(n - 1) + 18; A(1) = 23

A(n) = A(n - 1) + 12; A(1) = 23

A(n) = A(n - 1) + 15; A(1) = 23

A.SSE.1.a

F.BF.1.a

…

10

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

A(9) = 81

A(9) = 107

A(9) = 151

A(9) = 119

F.BF.1.a

F.IF.3

10

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

A(n) = A(n - 1) + 0.5; A(1) = 7.3

A(n) = A(n - 1) + 1; A(1) = 7.3

A(n) = A(n - 1) + 2.5; A(1) = 7.3

A(n) = A(n - 1) + 1.5; A(1) = 7.3

A.SSE.1.a

F.BF.1.a

…

10

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

A(9) = 11.1

A(9) = 9.3

A(9) = 11.3

A(9) = 10.8

F.BF.1.a

F.IF.3

10

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

A(n) = A(n - 1) + 9; A(1) = 97

A(n) = A(n - 1) - 9; A(1) = 97

A(n) = A(n - 1) - 3; A(1) = 97

A(n) = A(n - 1) + 3; A(1) = 97

A.SSE.1.a

F.BF.1.a

…

10

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

A(9) = 35

A(9) = 20

A(9) = 30

A(9) = 25

F.BF.1.a

F.IF.3

10

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

Problem 4 Got It?

A

B

C

D

A.SSE.1.a

F.BF.1.a

…

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Problem 4 Got It?

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B

C

D

A.SSE.1.a

F.IF.3

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Problem 5 Got It?

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B

C

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A.SSE.1.a

F.BF.1.a

…

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Problem 5 Got It?

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B

C

D

A.SSE.1.a

F.BF.1.a

…

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Problem 6 Got It?

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A.SSE.1.a

F.BF.1.a

…

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Problem 6 Got It?

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A.SSE.1.a

F.BF.1.a

…

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F.BF.1.a

F.IF.3

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F.BF.1.a

F.IF.3

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F.BF.1.a

F.IF.3

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F.BF.1.a

F.IF.3

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A.SSE.1.a

F.BF.1.a

…

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Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...
Is the common difference 6 or -6?

6

-6

A.SSE.1.a

F.BF.1.a

F.IF.3

10

A.SSE.1.a

F.BF.1.a

F.IF.3

10

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

…

10

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

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

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

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

octagon

hexagon

rectangle

circle

10

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

10

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

10

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

10

Use Your Vocabulary: The set is a sequence.
Explain the pattern.

100

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

Reflection: Math Success

F.BF.1.a

F.IF.3

F.LE.2

Algebra 1 4-7 Complete Lesson: Arithmetic Sequences

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.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

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

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

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

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

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

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

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

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?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ... Is the common difference 6 or -6?

Error Analysis: Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28, ...

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.

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.

Review Lesson 2-6: Fill in the blanks.

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

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

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

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

Use Your Vocabulary: The set is a sequence. Explain the pattern.

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.

Reflection: Math Success

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.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

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

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

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

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

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

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

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

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?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Problem 6 Got It?

Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ... Is the common difference 6 or -6?

Error Analysis: Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28, ...

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.

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.

Review Lesson 2-6: Fill in the blanks.

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

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

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

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

Use Your Vocabulary: The set is a sequence. Explain the pattern.

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.

Reflection: Math Success

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?

Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...
Is the common difference 6 or -6?

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.

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.

Use Your Vocabulary: The set is a sequence.
Explain the pattern.

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.

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?

Vocabulary: Consider the following arithmetic sequence: 25, 19, 13, 7, ...
Is the common difference 6 or -6?

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.

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.

Use Your Vocabulary: The set is a sequence.
Explain the pattern.

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.