## Module 1

### Polynomial Manipulation using Functional Notation

Videos

·    Introduction to Function

·    Functional Relationships 1

·    Functions (part 2)

Exercises

·    Functions 1

·    Functions 2

Resources:

·    PH 57-60

·    Take notes on Example 4-6

·    Do problems 12-31

Essential Questions:

1.   Why is there only one output for every input, but there might be two inputs with the same output?

2.   Find a case where two different function machines produce the same output for a given input.

3.   Can you find a case where two different function machines create the same SET of inputs and outputs?

## Module 3

Polynomial Manipulation using Functional Notation

Videos

·    Solving for a variable 1

·    Solving for a variable 2

·    Example of solving for a variable

Exercises

·    Solving for a variable

Essential Questions:

1.   Explain the difference between f(6) = x and f(x) =6 in words.

2.   What is the difference between f(-x) and f(x)?

3.   In the function f(3) = 6, what does the 3 represent and what does the 6 represent?  How would we graph the point?

## Module 2

### Polynomial Manipulation using Functional Notation

Videos

·    Functions (part 3)

·    Functions (part 4)

Exercises

·    Functions 3

Resources:

·    PH 57-60

·    Identifying Functions from a VIP

·    Identifying Functions from a Set of Points VIP

·    Input and Output of a Function QQ

Essential Questions:

1.   Why is there only one output for every input, but there might be two inputs with the same output?

2.   Find a case where two different function machines produce the same output for a given input.

3.   Can you find a case where two different function machines create the same SET of inputs and outputs?