Prior Content: AS Quadratics, AS Polynomials, GCSE Algebraic Fractions, GCSE Factorising
Previous Section: Proof
Next Section: Functions (Including |mod|)
Contents
- Whole Topic Notes
- 1B Multiplying & Dividing Algebraic Fractions
- 1C Adding & Subtracting Algebraic Fractions
- 1D Partial Fractions Introduction
- 1E Repeated Denominators
- 1F/G Top Heavy Fractions
- 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 Algebraic Methods Section
- Dr Frost Algebraic Methods Slides
- Blank notes to follow slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
1B Multiplying & Dividing Algebraic Fractions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Videos
Whole Topic Video ‘Simplify algebraic fractions by cancelling common factors.’
Whole Topic Video ‘Multiply and divide algebraic fractions’
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
- Standard Test (Simplify algebraic fractions by cancelling common factors.)
- Standard Test (Multiply and divide algebraic fractions.)
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. The below are all GCSE skills.
- 446 Multiply algebraic fractions with single terms on the numerators and denominators.
- 447 Divide algebraic fractions with single terms on the numerators and denominators.
- 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 Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions (Simplify algebraic fractions by cancelling common factors.)
- Practise Questions (Multiply and divide algebraic fractions.)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
- Naikermaths Algebraic Fractions PPQs (Solutions)
- Solomon C3 Rational Expressions A (Solutions) (p1)
1C Adding & Subtracting Algebraic Fractions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic 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. The below are all GCSE skills.
- 448 Add and subtract algebraic fractions with integer denominator.
- 449 Add algebraic fractions with algebraic linear denominators.
- 505 Subtract algebraic fractions with algebraic linear denominators.
- combination of all
Formulae and Simplifying Expressions Key Skills Section (for selecting more than one)
Further Practice
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
- Jethwamaths Starter Activities (p3-4)
- Solomon C3 Rational Expressions A (Solutions) (p2)
1D Partial Fractions Introduction
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (Up to 3:36)
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
- Standard Test (Last Q with squared denominator)
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.
- 540 Decompose a rational function into partial fractions: (ax±b)/(cx±d)(ex±f)(gx±h)
- 552 Decompose a rational function into partial fractions: (ax+b)/(cx±d)(ex±f)
- combination of all
Formulae and Simplifying Expressions 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
- Berwick Maths Diagnostic Questions
- alutwyche
- Longman Cheshire (via Resourceaholic) Partial Fractions Fun Sheet
Worksheets
- Jethwamaths Starter Activities (p7-8)
1E Repeated Denominators
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (From 3:36 to 7:16)
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
- Standard Test (Last Q with squared denominator)
- Advanced Test (Last Qs top heavy)
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.
- 541 Decompose a rational function into partial fractions: (ax±b)/(cx±d)(ex±f)2
Formulae and Simplifying Expressions 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
Worksheets
- Jethwamaths Starter Activities (p5-6)
1F/G Top Heavy Fractions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Whole Topic Video (From to 7:16)
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.
Formulae and Simplifying Expressions Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- Lots of Mixed Worksheets in the Whole Topic Resources Below
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for A2 Algebraic Fractions
External Whole Topic Past Paper Style Questions (Covering All Proof)
- Jethwamaths Worksheet (p12-16), Topic Test (p1-4) & Starter Activities (p3-10)
- Maths Genie Worksheet & Solutions
- Naikermaths Algebraic Fractions PPQs (Solutions)
- Solomon C4 Partial Fractions Worksheet A (Answers), Worksheet B (Answers)
- PMT PPQs by Topic – note most of these extend into Binomial Expansion or Integration
- Edexcel Set 1, Set 2
- OCR Partial Fractions
- OCR MEI Set 1 (Answers), Set 2 (Answers), Set 3 (Answers)
- Cheat Sheet
- Dr Frost Topic Test (Teacher login required)