Prior content: CP1 Volumes of Revolution
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Contents
- Whole Topic Notes
- 4A/B Volumes of Revolution
- 4C Revolutions with Parametrics
- 4D Modelling with Volumes of Revolution
- 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 A2 Core Pure Volumes of Revolution Section
- Dr Frost A2 Core Pure Volumes of Revolution Slides
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
Notes
- Physics & Maths Tutor
- CP2 Ch.4 Volumes of Revolution: Cheat sheet
4A/B Volumes of Revolution
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Volumes of revolution around the x-axis (Edexcel IAL P4 6.2) by Maths Deity
Volumes of Revolution about x-axis – Introduction : ExamSolutions by ExamSolutions
Volumes of Revolution (A2) 1 • About the x-axis • CP2 Ex4A • 🎯 by Bicen Maths
Volumes of Revolution (A2) 2 • About the y-axis • CP2 Ex4B • 🎯 by Bicen Maths
Dr Frost resources
No Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths Yet
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
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
- 678a: Determine the volume of revolution around the x-axis of an exponential curve. (not yet active)
- 678b: Calculate the volume of revolution around the x-axis of a trigonometric function. (not yet active)
- 678c: Calculate the volume of revolution around the x-axis of a function given in the form fraca√bx+c or a/(bx+c)n (not yet active)
- 678d: Calculate the volume of revolution around the x-axis of a function given in the form √f'(x)/f(x) (not yet active)
- 678e: Calculate the volume of revolution around the x-axis that requires splitting into partial fractions. (not yet active)
- 678f: Calculate a volume of revolution involving addition of volumes and non-polynomial terms. (not yet active)
- 678g: Calculate a volume of revolution involving subtraction of volumes and non-polynomial terms. (not yet active)
- 678h: Determine the volume of revolution around the x-axis for the intersection of two non-polynomial curves. (not yet active)
- 678i: Determine the volume of revolution formed by a region between a non-polynomial curve and a normal to the curve. (not yet active)
- 678l: Calculate the volume of revolution around the y-axis involving non-polynomial terms. (not yet active)
- 678: Exam Practice: Volumes of revolution (for non-polynomials, excluding hyperbolics)
Other resources
3Blue1Brown Linear transformations and matrices | Chapter 3, Essence of linear algebra
Alternative Handouts
- Acute Learning Problem Pairs for 4A as PowerPoint or PDF
- Acute Learning Problem Pairs for 4B as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Volumes of Revolution Q62, 66, 71 (difficulty 4–5 of 5)
- Integration Exam Questions Part II Q95 (difficulty 5 of 5)
- Hyperbolic Functions Q57 (difficulty 4 of 5)
4C Revolutions with Parametrics
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Volume of Revolution for a parametric curve : ExamSolutions by ExamSolutions
Volumes of Revolution for Parametric Equations (x-axis) : ExamSolutions Maths Revision by ExamSolutions
A-Level Further Maths E2-12 Volumes of Revolution: Parametric Equations Introduction by TLMaths
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
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
- 678j: Calculate the volume of revolution involving parametric equations. (not yet active)
- 678k: Determine the volume of revolution formed by a region between a non-polynomial curve, defined parametrically, and a normal to the curve. (not yet active)
- 678: Exam Practice: Volumes of revolution (for non-polynomials, excluding hyperbolics)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheets
- MadAsMaths (T. Madas)
- Volumes of Revolution Q57 (difficulty 4 of 5)
- Parametric Integration Exam Questions Basic Questions I Q4–5; Basic Questions II Q3, 12, 14, 30; Hard Questions Q13, 16–17; Enrichment Questions Q3, 5 (difficulty 2–5 of 5)
4D Modelling with Volumes of Revolution
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Volumes of Revolution (A2) 4 • Modelling • CP2 Ex4D • 🎯 by Bicen Maths
Dr Frost resources
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions (very short)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Core Pure Integration
External whole topic past paper style questions
- WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- Advanced Highers Matrices Exam Questions & Answers
Activities
- NRICH (student problems)
Worksheets
- Physics & Maths Tutor
- CP2 Ch.4 Volumes of Revolution: Questions by topic