Prior Content: GCSE/IGCSE Transforming Graphs, GCSE/IGCSE Drawing & Using Graphs
Previous Section: Equations & Inequalities
Next Section: Co-Ordinate Geometry
Contents
- Whole Topic Notes
- 4A Sketching Cubic Graphs
- 4B Sketching Quartic Graphs
- 4C Sketching Reciprocal Graphs
- 4D Intersecting Graphs
- 4E Translating Graphs
- 4F Stretching Graphs
- 4G Unfamiliar Functions
- 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 & Transformations Section
- Dr Frost Sketching & Transforming Graphs Slides
- Blank Notes to Follow Slides Word Doc & PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
4A Sketching Cubic Graphs
*Note I like to teach 4A and 4B together under a title ‘Sketching Polynomials’. Resources for this are in the 4B Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (Up to 6:40)
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
Extra Questions
- Dr Frost Questions (Short but nice final question extending into higher order polynomials)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 346 Plot a cubic graph.
Curved Graphs GCSE Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Underground Mathematics Can you find… cubic edition
Worksheets
- Jethwa Maths Starter Activities (p1-2)
- Susan Wall Cubic graphs
- hannahlees Cubics – fill in the gaps (TES Account Required)
- MEI Equations of cubic curves
4B Sketching Quartic Graphs
*Note I like to teach 4A and 4B together under a title ‘Sketching Polynomials’. Resources for this are in the 4B Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 6:40 to 10:25)
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
Extra Questions
- No Dr Frost Questions
Key Skills
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Polynomial Graphs
Worksheets
- Jethwa Maths Starter Activities (p5-6)
- kutasoftware Worksheets
- Graphs, Real Zeros, and End Behavior (some knowledge of factor theorem would be beneficial – this worksheet has also been added to that section)
4C Sketching Reciprocal Graphs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 10:25)
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 (Very Short)
Key Skills
- No Key Skills Yet
Practice Questions
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- MathsPad Functions Stack
Worksheets
- kutasoftware Worksheets
- Graphing Simple Rational Functions (Some Knowledge of Transformations Required)
4D Intersecting Graphs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
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 Test
Extra Questions
Key Skills
- No Key Skills Yet
Practice Questions
Other resources
4E Translating Graphs
*Note I like to teach 4E, 4F and 4G together under a title ‘Transforming Graphs & Functions’. Resources for this are in the 4G Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (4E, F & G)
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
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
- 455 Understand the effect of the transformation y=f(x+a).
- 456 Understand the effect of the transformation y=f(x)+a.
- Combination of all
Transformations of Curves GCSE Key Skills Section (for selecting more than one)
Mixed A Level Key Skills in 4G Section
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
4F Stretching Graphs
*Note I like to teach 4E, 4F and 4G together under a title ‘Transforming Graphs & Functions’. Resources for this are in the 4G Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (4E, F & G)
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
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
- 457 Understand the effect of the transformations y=−f(x) and y=f(−x).
Transformations of Curves GCSE Key Skills Section (for selecting more than one)
Mixed A Level Key Skills in 4G Section
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
4G Unfamiliar Functions
*Note I like to teach 4E, 4F and 4G together under a title ‘Transforming Graphs & Functions’. Resources for this are in the 4G Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (4E, F & G)
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
- 695 Determine the equation of simple graph transformations using f(x) notation
- 696 Apply a single transformation to more complex functions.
- 712 Apply a single transformation to simple functions.
Graphs & Functions Key Skills Section (for selecting more than one)
- 458 Determine the equation of a new curve given a transformation drawn on a graph.
Transformations of Curves GCSE Key Skills Section (for selecting more than one)
Practice Questions
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Transformations of Functions
Activities
- WW Transformations of Graphs Booklet Word Doc & PDF
- The Chalk Face Graph Transformations
- The Chalk Face Trig Transformations
- Median Don Steward Graph Transforms
- Underground Mathematics Translating or Not?, Order! Order!
- MEI Understanding Transformations
- Ben Sparkes Geogebra Interactive Activity
Worksheets
- Solomon C1 Graphs of Functions B Questions & Solutions
- PMT OCR C1 Transformation of Graphs PPQs & Solutions (Old Spec)
- PMT OCR MEI C1 Curve Sketching – Transformations 1 PPQs & MS (Old Spec)
- PMT OCR MEI C1 Curve Sketching – Transformations 2 PPQs & MS (Old Spec)
- StudyWell Transformations Exam Questions with Solutions
- kutasoftware Worksheets
- Graphing Simple Rational Functions (Some Knowledge of Transformations Required)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Sketching & Transforming Graphs
Activities
- Durham County Council Graphs Mystery
External Whole Topic Past Paper Style Questions
- Maths Genie Booklet & Solutions
- Jethwa Maths Worksheet (p13-18, *Q6 is with ln), Topic Test (p12-16)
- Dr Frost Topic Test (Teacher Log in Required)
- Mathsaurus Mixed Exam Board PPQs & Video Solutions
- Solomon C1 Graphs of Functions A Questions & Solutions
- PMT
- Summary Graphs & Transformations PPQs
- Edexcel Set 1 Functions – Transformation & Graphs PPQs (Old Spec)
- Edexcel Set 2 Curve Sketching PPQs (Old Spec)
- OCR MEI Inequalities PPQs & Solutions (Old Spec)
- Summary Cheat Sheet