Prior content: A2 Proof, CP1 Matrices
Previous Section: Linear Transformations
Next Section: Vectors
Contents
- Whole Topic Notes
- 8A Introduction to Proof by Induction
- 8B Divisibility Proof By Induction
- 8C Matrices Proof By Induction
- 8D Recurrence Relation Proof by Induction (Not in Textbook)
- 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 Proof by Induction Section
- Dr Frost AS Core Pure Proof by Induction 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.8 Proof by Induction: Cheat sheet
8A Introduction to Proof by Induction
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
- 702a: Prove a summation result of a quadratic expression by induction. (not yet active)
- 702b: Prove a summation result involving fractions by induction. (not yet active)
- 702c: Prove a summation result involving exponential terms by induction. (not yet active)
- 702d: Prove a summation result involving a factorial by induction. (not yet active)
- 702h: Prove an inequality by induction. (not yet active)
- 702i: Prove the nth derivative of an expression by induction. (not yet active)
- 702: Exam Practice: Proof by induction for summations, divisibility, powers of matrices and inequalities
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)
- Proof by Induction Summation Results Q1–22; Miscellaneous Results Q3 (difficulty 2–4 of 5)
8B Divisibility Proof By Induction
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
- 702e: Prove the divisibility of an expression involving exponential terms where the coefficient of n is 1. (not yet active)
- 702f: Prove the divisibility of an expression involving exponential terms where the coefficient of n > 1 (not yet active)
- 702: Exam Practice: Proof by induction for summations, divisibility, powers of matrices and inequalities
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)
- Proof by Induction Divisibility Results Q1–36; Miscellaneous Results Q2 (difficulty 2–4 of 5)
8C Matrices Proof By Induction
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
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platform
- Bossmaths interactive 3×3 transformations and questions
8D Recurrence Relation Proof By Induction
Dr Frost resources
Other resources
Worksheets
- MadAsMaths (T. Madas)
- Proof by Induction Powers of Matrices Q1–10; Miscellaneous Results Q4 (difficulty 2–5 of 5)
- Proof by Induction Recurrence Relations Q1–15 (difficulty 2–4 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for Core Pure Induction
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
- Pret Homework (@DrBennison)
- Proof by Induction (@DrBennison, docx)
Worksheets
- Mathshelper (Jon Stone)
- Jethwa Maths
- 10 Minute Starters: Proof By Induction
- Physics & Maths Tutor
- CP1 Ch.8 Proof by Induction: Questions by topic
- MadAsMaths (T. Madas)
- Number Theory Q10, 24, 32 (difficulty 3–5 of 5)
- Proof by Induction Miscellaneous Results Q5–22 (difficulty 3–5 of 5)