Prior Content: GCSE/ IGCSE Algebraic Fractions
Contents
- Whole Topic Notes
- 7A Cancelling Algebraic Fractions
- 7B Polynomial Division
- 7C The Factor Theorem
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs – Polynomials (Courtesy of Owen134866)
- Textbook Notes as PPTs – Whole Chapter (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Algebraic Methods Section
- Dr Frost Algebraic Methods Slides
- Blank Notes to Follow Slides Word Doc & PDF Polynomials Only (Courtesy of King’s Chester Maths Department)
- Blank Notes to Follow Slides Word Doc & PDF Whole Chapter Notes (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
7A Cancelling Algebraic Fractions
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 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
- 499 Simplify algebraic fractions where factorisation of one of the numerator or denominator is required.
- 500 Simplify algebraic fractions where factorisation of both the numerator and denominator is required.
- Combination of all
Formulae and Simplifying Expressions GCSE Key Skills Section (for selecting more than one)
Practice Questions
Other resources
Other Videos
Courtesy of Maths Genie (Some Multiplication & Division too)
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- Maths Genie Algebraic Fractions Practice (Some Solving Equations Too)
- Underground Maths Functions Builder II
Worksheets
- The Chalk Face Algebraic Fractions
- kutasoftware Worksheets
7B Polynomial Division
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
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
- No Key Skills Yet
Practice Questions
Other resources
Other Videos
Courtesy of Maths Genie
Corbett Maths Algebraic Long Division
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Polynomial Division (Extends into Remainder Theorem)
Activities
- Berwick Maths Diagnostic Questions
- Longman Cheshire Fun Sheet: Algebraic division
- ayoob Dividing Polynomials (Not by Long Division) (TES Account Required)
- Underground Maths Divide It Up
Worksheets
- Jethwa Maths Starter Activity (p3-4)
- kutasoftware Worksheets
7C The Factor Theorem
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 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
- 585 Use the factor theorem to find a missing coefficient.
- 586 Factorise a cubic expression using the factor theorem.
- Combination of all
Algebraic Techniques Key Skills Section (for selecting more than one)
Practice Questions
Other resources
Videos & Other Multimedia
Corbett Maths Factor Theorem
Courtesy of Maths Genie (From 4:21)
Radford Mathematics Rational Root Theorem
The Method No One Taught You – Finding the Tangent to a Curve by Dr Barker (Using the Remainder Theorem)
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- Mathematics Assessment Project Representing Polynomials (strong links to sketching cubics and transformations, a good true or false section)
- Susan Wall, MEI Factor Theorem Activities Similar to Above)
- Standards Unit Factorising Cubics
- Joe Berwick via variationtheory.com Polynomial Division and the Factor Theorem
Worksheets
- Dr Austin Maths
- Factor Theorem Practice Strips (Editable Word | PDF | Answers)
- Factor Theorem Fill In The Blanks (Editable Word | PDF | Answers)
- Corbettmaths
- Factor Theorem Practice Questions & Solutions
- Jethwa Maths Starter Activity (p7-8)
- kutasoftware Worksheets
- Graphs, Real Zeros, and End Behavior (Sketching Graphs but requires Factor Theorem to help Factorise)
- Factors and Zeros
- The Remainder Theorem (Q7-14)
- The Rational Root Theorem (Really good to use at start before deciding what to ‘try’)
- More on Factors, Zeros, and Dividing (Not Q15)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Polynomials
Whole Topic Videos
Bicen Maths Exam Questions
Worksheets
- SRWhitehouse Factor and Remainder Theorem (TES Account Required) Selection of Worksheets Covering the Whole Chapter (Minus Proof)
External Whole Topic Past Paper Style Questions
- Maths Genie Booklet & Solutions
- Dr Frost Worksheet in Next Section (Proof)
- Mathsaurus Mixed Exam Board PPQs & Video Solutions
- Naiker Maths Exam Qs (2005-2011) & MS
- Solomon C2 Algebra A Questions & Solutions
- Solomon C2 Algebra B Questions & Solutions
- PMT
- Summary Remainder & Factor Theorem PPQs
- AQA C1 Polynomials PPQs
- Edexcel C2 Set 1 Remainder and Factor Theorem PPQs (Old Spec)
- Edexcel C2 Set 2 Algebra & Functions PPQs (Old Spec)
- OCR C2 Set 1 Factor & Remainder Theorem PPQs & Solutions (Old Spec)
- OCR C2 Set 1 Factor & Remainder Theorem PPQs (Old Spec)
- OCR MEI Factor & Remainder Theorems 1 PPQs & MS (Old Spec)
- OCR MEI Factor & Remainder Theorems 2 PPQs & MS (Old Spec)
- Summary Cheat Sheet