Prior Content: AS Sketching & Transforming Graphs, GCSE Functions, GCSE Graphical Transformations
Previous Section: Algebraic Fractions
Next Section: Sequences & Series
*Note, I personally like to introduce the Modulus Function after inverse functions and only give a brief description of solving equations with it as seen in 2A even then, but prefer to get the graphing stuff out of the way first and then sink my teeth into solving equations using graphs as a whole.
Contents
- Whole Topic Notes
- 2A The |Modulus| Function
- 2B Part 1 Domains & Ranges
- 2B Part 2 Solving Equations with Functions
- 2C Composite Functions
- 2D Inverse Functions
- 2E Modulus Graphs
- 2F Multiple Graphical Transformations
- 2G Solving Modulus Equations
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Graphs & Functions Section
- Dr Frost Functions & Graphs Slides
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
2A The |Modulus| Function
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Videos
- Topic Video (Up to 13:44)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
- Standard Test
- Advanced Test (May be best to leave this for final section)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost.
- 660 Plot the graph of a modulus function.
- 688 Solve an equation in the form |ax+b|=cx+d. (May be best to leave this for final section)
- combination of all
Graphs & Functions Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
- Jethwamaths Starter Activities (p1-2)
- kutasoftware Sketching Absolute Graphs
- Solomon C3 Functions Worksheet D (Answers)
- PMT PPQs OCR MEI Modulus (Answers)
2B Part 1 Domains & Ranges
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Videos
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost.
- 891 Find the Range of a Quadratic Function.
- 892 Find the Range of a Function (Including Exponential, Quadratic, Linear).
- Combination of All
Graphs & Functions Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos & Multimedia
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- MEI – Domain/Range Grid, Domain and Range Card Sort, What Type of Function?
- Region 18 Domain and Range Dominoes
- Underground Mathematics Domain and Range Dominoes
- colmanweb.com Functions Matching Activity
Worksheets
- Solomon C3 Functions Worksheet A (Answers)
2B Part 2 Solving Equations with Functions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Videos
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
- No Key Skills Yet
Further Practice
Other resources
2C Composite Functions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video
K888: Find the numerical output of a composite function.
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost.
- 888 Find the numerical output of a composite function.
- 889 Find the algebraic output of a composite function.
- Combination of All
Graphs & Functions Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- Underground Mathematics Compose!
- MEI Composite Functions Arithmagons
Worksheets
- Jethwamaths Starter Activities (p3-4)
- Solomon C3 Functions Worksheet B (Answers)
2D Inverse Functions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Videos
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
- Dr Frost Questions (No Inverse Graphs)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost.
- 662 Find the inverse of a function with a single occurrence of x.
- 663 Find the inverse of a function with multiple occurrences of x.
- K375b: Find the inverse of exponential and logarithmic functions.
- combination of all
Graphs & Functions Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos & Multimedia
Courtesy of Maths Genie
How all Calculators should look
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- eweston Functions Murder Mystery (TES Account Required)
- Andrew Kirby Inverse, Composite, Range and Domain of Functions (TES Account Required)
Worksheets
- kutasoftware Function Inverses
- Jethwamaths Starter Activities (p5-6)
- Solomon C3 Functions Worksheet C (Answers)
- PMT PPQs OCR MEI Composite & Inverse Set 1 (Answers), Set 2 (Answers), Set 3 (Answers)
Other Summary Sites
2E Modulus Graphs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (Up to 15:30)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
- No Key Skills Yet
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- Modulus Triples – Teacher Notes and Activity – Kangaroo Maths
- eweston Modulus Always/Sometimes/Never (TES Account Required)
- MeadowsJ Modulus Graphs Picture Challenges (with Autograph or Desmos) (TES Account Required)
2F Multiple Graphical Transformations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (From 15:30)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions 1
- Berwick Maths Diagnostic Questions 2
- The Chalk Face Graph Transformation Challenge
- Dan Meyer Desmos Activities (1, 2, 3 & 4)
Worksheets
- Maths Genie Worksheet & Solutions
- Jethwamaths Starter Activities (p7-8)
- kutasoftware Transformations of Graphs
- Solomon C3 Functions Worksheet E (Answers), Worksheet F (Answers)
- PMT PPQs OCR MEI Combined Transformations (Answers)
See Also:
2G Solving Modulus Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Videos
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost.
- 688 Solve an equation in the form |ax+b|=cx+d.
Graphs & Functions Key Skills Section (for selecting more than one)
Further Practice
Other resources
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for A2 Functions
External Whole Topic Past Paper Style Questions
- Jethwamaths Worksheet, Topic Test & Starter Activities
- Maths Genie Worksheet & Solutions (Functions Only)
- Mathsaurus Mixed Exam Board PPQs Functions (Video Solutions), Modulus Function (Video Solutions)
- Jo Hill Desmos Exam Questions
- Naikermaths Functions PPQs (Solutions), Graph Transformations (Solutions)
- Solomon C3 Functions Worksheet G (Answers), Worksheet H (Answers)
- PMT PPQs by Topic – note most of these extend into Binomial Expansion or Integration
- Dr Frost Topic Test (Teacher Login Required)