# Why Stay with Whole Numbers?

Video solutions to help Grade 7 students learn how to use function notation, evaluate functions for inputs in their domains, and interpret statements that
use function notation in terms of a context.

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Lessons for Algebra I
Common Core For Algebra I
## New York State Common Core Math Module 3, Algebra I, Lesson 8

### Lesson 8 Student Outcomes

• Students use function notation, evaluate functions for inputs in their domains, and interpret statements that
use function notation in terms of a context.

• Students create functions that represent a geometric situation and relate the domain of a function to its graph
and to the relationship it describes.

Lesson 8 Summary
• Formulas that represent a sequence of numbers have a set of inputs; each input number is used to represent
the term number. The outputs of the formula listed in order form the sequence.

• Formulas that represent different situations such as the area of a square of side x can have a set of inputs
consisting of different subsets of the real number system. The set of inputs that makes sense depends on the
situation, as does the set of outputs.

Lesson 8 Exit Ticket
Recall that an odd number is a number that is one more than or one less than twice an integer. Consider the sequence
formed by the odd numbers {1, 3, 5, 7, ...}.

1. Find a formula for O(n), the nth odd number starting with n = 1.

2. Write a convincing argument that 121 is an odd number.

3. What is the meaning of O(17)?