# Unit: Algebraic Proof & Functions

## Lessons:

8 lessons

### Prove by counter example

In this lesson we will learn how to disprove a statement by providing a counter example.

### Prove an expression will be a multiple of a given number

In this lesson we will learn how to prove that an expression is a multiple of a particular number for all integer values of a variable.

### Consecutive number proofs

In this lesson we will learn about proofs that involve consecutive numbers.

### Odd and even number proofs

In this lesson we will learn about proofs that involve odd and even numbers.

### Find a particular value of f(x)

In this lesson, we will use substitution skills and knowledge of order of operations to find a particular value of f(x)

### Solve equations using f(x) =

In this lesson, we will use knowledge of using inverse functions to solve equations using f(x)

### Composite functions

In this lesson, we will apply more than one function to a number or a variable using substitution, knowledge of expanding brackets and also apply these skills to solving equations such as fg(x) = h(x)

### Find inverse functions

In this lesson, we will use knowledge of using inverse functions (function machines) and making x the subject to find inverse functions.