Functions

Activities

Think of a Number
Activity
Ten students think of a number then perform various operations on that number. You have to find what the original numbers were.

Function Builder
Activity
An interactive function machine for patterns, numbers and equations.

Graph Equation Pairs
Activity
Match the equation with its graph. Includes quadratics, cubics, reciprocals, exponential and the sine function.

Functions
Activity
An online exercise on function notation, inverse functions and composite functions.

Coordinate Geometry Table
Activity
Fill in the empty cells of this table with information about lines, gradients and coordinates.

Investigations

Function Builder
Activity
An interactive function machine for patterns, numbers and equations.

Videos

What Are Functions?
Activity
A basic introduction to the concept of functions.

Domain and Range
Activity
Domain and range of a function given a formula from Khan Academy.

Visual Aids

Graphing Quadratics
Activity
Describe how changing the coefficients of a quadratic function changes the graph of the function

Transformations of Functions
Activity
A visual aid showing how various transformations affect the graph of a function.

Starters

Starter
Get A Wiggle On
A mixture of calculations to get your brain working at the start of a mathematics lesson.

Starter
Lemon Law
Change the numbers on the apples so that the number on the lemon is the given total.

Starter
Pyramid Puzzle
Arrange numbers at the bottom of the pyramid which will give the largest total at the top.

Starter
Think Back
A problem which can be answered by forming an algebraic equation then solving it.

Starter
THOAN
THOAN stands for 'Think of a number' and there are four randomly generated THOAN puzzles to solve.

13 items are currently in this category.

Teachers might find the complete Functions Topic List useful.

A relationship between two sets can be called a mapping. Elements of the first set (domain) are mapped to elements of the second set (range). A function is a special type of mapping for which one value in the domain maps to one, and only one value in the range.

Pupils in Primary school will use the concept of function machines to perform calculations. They will then learn to ‘work backwards’ to find the inverse function. The study of functions becomes more formal as pupils become more proficient and able to cope with more complex mathematical ideas.


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