Prior content: A2 Integration
Contents
- Whole Topic Notes
- 5A Rotations Around the x-axis
- 5B Rotations Around the y-axis
- 5C Composite Volumes of Revolution
- 5D 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 AS Core Pure Volumes of Revolution Section
- Dr Frost AS 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
- CP1 Ch.5 Volumes of Revolution: Cheat sheet
5A Rotations Around the x-axis
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
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
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 677a: Calculate the volume of revolution for a curve revolved around the x-axis (with powers of x only). (not yet active)
- 677b: Calculate the volume of revolution for a part of the circle or ellipse revolved around the x-axis. (not yet active)
- 677c: Determine a constant in the equation of a curve or a bound given the volume of the revolved area around the x-axis (with powers of x only). (not yet active)
- 677f: Determine the angle of revolution a region is rotated given the volume and a function with powers of x only. (not yet active)
- 677: Exam Practice: Volumes of revolution (powers of x only)
Other resources
3Blue1Brown Linear transformations and matrices | Chapter 3, Essence of linear algebra
Enrichment Video
Numberphile: Gabriel's Horn Paradox
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Online Platforms
- Khan Academy
- Volumes of revolution: disc method: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Integration Areas Q14 (difficulty 3 of 5)
- Volumes of Revolution Q1–2, 4, 6, 8–13, 15–19, 21, 24–27, 30, 32–34, 36–47, 50–52, 54, 56, 58–59, 68, 73, 75 (difficulty 2–5 of 5)
5B Rotations Around the y-axis
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
A-Level Further Maths E2-07 Volumes of Revolution: Revolution about the y-axis Example 1 by TLMaths
Volume of Revolution about the y-axis (1) : ExamSolutions Maths Revision by ExamSolutions
5.2 Volumes of Revolution About the y-axis (CORE PURE 1- Chapter 5: Volumes of revolution) by Hinds Maths
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
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 Q3, 5, 7, 14, 22–23, 31, 33, 35, 48, 53, 55, 61, 63–65, 74 (difficulty 2–5 of 5)
5C Composite Volumes of Revolution
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
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
- 677d: Determine the volume of revolution for a region revolved around the x-axis, involving addition of volumes. (not yet active)
- 677e: Determine the volume of revolution for a region revolved around the x-axis, involving subtraction of volumes. (not yet active)
- 677: Exam Practice: Volumes of revolution (powers of x only)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
Online Platforms
- Khan Academy
- Volumes of revolution: washer method: Videos & practice
Worksheets
- MadAsMaths (T. Madas)
- Volumes of Revolution Q20, 28–29 (difficulty 3 of 5)
5D Modelling with Volumes of Revolution
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
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
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 2×2 transformations and questions
Worksheet & Activities
- MEI activities from old FP1
Activities
- The Chalkface
Worksheets
- MadAsMaths (T. Madas)
- Volumes of Revolution Q49, 60, 67, 70, 72 (difficulty 4–5 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Core Pure Integration
Whole Topic Videos
Bicen Maths Top Tips and Exam Questions
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
Worksheets
- Mathshelper (Jon Stone)
- MathedUp
- Revolution1 – Solid: Questions
- Jethwa Maths
- 10 Minute Starters: Volumes of Revolution
- Physics & Maths Tutor
- CP1 Ch.5 Volumes of Revolution: Questions by topic
- Dr Austin Maths
Activities
- NRICH (student problems)
- Korovatron
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.