Prior Content: Solving Simple Equations, Substitution, Forming Simple Equations, Manipulating Formulae/ Changing the Subject, Drawing & Using Graphs, Simplifying Basic Expressions, Solving Quadratics
Possible Next Steps: Graphical Transformations, Algebraic Proof
Contents
- 1.1 Function Machines
- 2.1 Domains & Ranges
- 2.2 Limited Domains
- 2.3 Piecewise Functions
- 3.1 Compound Functions
- 4.1 Inverse Functions
- 5.1 Functions as Graphs
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Function Machines
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Function Machines
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Function Machines ppt
- Introduction to Functions ppt (Slides 1-7) Remainder of ppt can be used before introducing Compound Functions or Graphical Transformations
Worksheets
- Dr Austin Maths
- Function Machines Practice Strips (Editable Word | PDF | Answers)
- Two-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Three-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Evaluating Two-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Evaluating Three-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Evaluating Functions Practice Strips (Editable Word | PDF | Answers)
- Evaluating Functions Crack the Code (Editable Word | PDF | Answers)
- Corbettmaths
- Number & Function Machines Practice Questions, Solutions & Video Solutions
- Function Machines Worksheet & Solutions
- Functions Worksheet (Q1-7) & Solutions
- Pixi Maths
Dr Frost Resources
Dr Frost Video
K365: Find the Output of a Function Machine.
K366: Find the Input of a Function Machine.
K590: Find the Output of a Function, Given the Input.
K591: Find the Input of a Function, Given the Output.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 365 Find the Output of a Function Machine.
- 366 Find the Output of a Function Machine.
- 590 Find the Output of a Function, Given the Input.
- 591 Find the Input of a Function, Given the Output.
- Combination of All
Functions Key Skills Section (for selecting more than one)
Extension Materials
Activities
- Sarah Carter Functions Puzzle
2.1 Domains & Ranges
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Domains & Ranges
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- IGCSE Introduction to Functions ppt (Slides 1-9)
Worksheets
- Dr Austin Maths
- Domain and Range Practice Strips (Editable Word | PDF | Answers)
- Corbettmaths
- Domains & Ranges Sketching Functions Practice Questions & Solutions
Dr Frost Resources
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
No Key Skills Yet
Extension Materials
Videos & Other Multimedia
2.2 Limited Domains
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Domain and Range Practice Strips (Editable Word | PDF | Answers)
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
No Key Skills Yet
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
2.3 Piecewise Functions
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Drawing Functions
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Piecewise Functions Practice Strips (Editable Word | PDF | Answers)
- Corbett Maths
- Domain & Ranges and Sketching Functions Practice Questions & Solutions
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
No Key Skills Yet
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
3.1 Compound Functions
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Composite Functions
Online Platforms (with Videos & Exercises)
Activities
- Maths 4 Everyone (Good Introductory Task)
- Pixi Maths
- Introduction to Functions ppt (Slides 8-11) can be used before introducing Compound Functions
- Composite Functions ppt
Worksheets
- Dr Austin Maths
- Composite One-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Composite Two-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Evaluating Composite One-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Evaluating Composite Two-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Composite Functions Practice Strips (Editable Word | PDF | Answers)
- Composite Functions Match-Up (Editable Word | PDF | Answers)
- Corbettmaths
- Maths 4 Everyone
- Pixi Maths
Dr Frost resources
Dr Frost Video
K595: Find the Numerical Output of a Composite Function.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 595 Find the Numerical Output of a Composite Function.
- 596 Find the Algebraic Output of a Composite Function.
- Combination of All
Functions Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
4.1 Inverse Functions
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Inverse Functions
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
Worksheets
- Dr Austin Maths
- Inverse Two-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Inverse Three-Step Functions Fill in the Blanks (Editable Word | PDF | Answers)
- Inverse Functions Practice Strips (Editable Word | PDF | Answers)
- Inverse Functions with Completing the Square Practice Strips (Editable Word | PDF | Answers)
- Inverse Functions Fill In The Blanks (Editable Word | PDF | Answers)
- Corbettmaths
- Composite & Inverse Functions Practice Questions & Solutions
- Functions Worksheet (Q13-17) & Solutions
- Maths 4 Everyone
- Pixi Maths
Dr Frost resources
Dr Frost Video
K592: Find the Inverse Function for a Linear Expression.
K593: Find the Inverse Function of f(x)=(ax+b)/(cx+d).
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 592 Find the Inverse Function for a Linear Expression.
- 593 Find the Inverse Function of f(x)=(ax+b)/(cx+d).
- Combination of All
Functions Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
Other Videos & Multimedia
How all Calculators should look
5.1 Functions as Graphs
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Drawing Functions
Online Platforms (with Videos & Exercises)
Activities
- WW Functions as Graphs ppt (see Worksheets for accompanying worksheets)
Worksheets
- Corbettmaths
- Domains & Ranges Sketching Functions Practice Questions & Solutions
- WW Functions as Graphs Word Doc or PDF
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
Extra Questions
- Dr Frost Questions
Key Skills
No Key Skills Yet
Further Practice
- Practise Questions
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Functions PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Worksheets
- Dr Austin Maths
- Functions Revision Practice Grid (Editable Word | PDF | Answers)
- Corbettmaths
- Function Notation Practice Questions & Solutions
- Maths 4 Everyone