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Lesson Plans and Worksheets for Algebra I

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra I

Common Core For Algebra I

Examples, solutions, and videos to help Grade 7 students learn how to examine sequences and the notation used to describe them.

### New York State Common Core Math Algebra I, Module 3, Lesson 1

Worksheets for Algebra I, Module 3, Lesson 1 (pdf)

### Lesson 1 Student Outcomes

• Students examine sequences and are introduced to the notation used to describe them.

Lesson 1 Summary

A sequence can be thought of as an ordered list of elements. To define the pattern of the sequence, an explicit formula is often given, and unless specified otherwise, the first term is found by substituting 1 into the formula.

Lesson 1 Exit Ticket

1. Consider the sequence given by a "plus 8" pattern: 2, 10, 18, 26, ....

Shae says that the formula for the sequence is f(n) = 8n + 2.

Marcus tells Shae that she is wrong because the formula for the sequence is f(n) = 8n - 6.

a. Which formula generates the sequence by starting at n = 1? At n = 0?

b. Find the 100th term in the sequence.

2. Write a formula for the sequence of cube numbers: 1, 8, 27, 64 ....

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Algebra I

Lesson Plans and Worksheets for all Grades

More Lessons for Algebra I

Common Core For Algebra I

Examples, solutions, and videos to help Grade 7 students learn how to examine sequences and the notation used to describe them.

• Students examine sequences and are introduced to the notation used to describe them.

Lesson 1 Summary

A sequence can be thought of as an ordered list of elements. To define the pattern of the sequence, an explicit formula is often given, and unless specified otherwise, the first term is found by substituting 1 into the formula.

Lesson 1 Exit Ticket

1. Consider the sequence given by a "plus 8" pattern: 2, 10, 18, 26, ....

Shae says that the formula for the sequence is f(n) = 8n + 2.

Marcus tells Shae that she is wrong because the formula for the sequence is f(n) = 8n - 6.

a. Which formula generates the sequence by starting at n = 1? At n = 0?

b. Find the 100th term in the sequence.

2. Write a formula for the sequence of cube numbers: 1, 8, 27, 64 ....

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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