Prior Content: Solving Simple Equations, Fractions, Solving Quadratics, Factorising, Surds
Possible Next Steps: Multiple Events, Manipulating Formulae/ Changing the Subject
Contents
- 1.1 Cancelling Basic Fractions
- 1.2 Cancelling After Factorising
- 2.1 Multiplying & Dividing Algebraic Fractions
- 3.1 Adding & Subtracting Algebraic Fractions (Numerical Denominator)
- 3.2 Adding & Subtracting Algebraic Fractions (Algebraic Denominator)
- 4.1 Solving Simple Equations with Algebraic Fractions
- 4.2 Solving Advanced Equations with Algebraic Fractions
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Cancelling Basic Fractions
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Dividing Algebraic Expressions
Online Platforms (with Videos & Exercises)
Activities & Resources
- Go Teach Maths
- variationtheory.com
Worksheets
- Dr Austin Maths
- Simplifying Expressions by Dividing Fill in the Blanks (Word | PDF | Answers)
- Multiplication and Division Fill in the Blanks (Word | PDF | Answers✦)
- Simplifying Fill In The Blanks (Word | PDF✦ | Answers✦)
- Simplifying Practice Strips (Word | PDF | Answers)
- Simplifying Odd One Out (Word | PDF✦ | Answers✦)
- Simplifying Pixel Picture (Word | PDF | Answers)
- Corbettmaths
- Dividing Terms Practice Questions & Solutions
- Dividing Terms Worksheet & Solutions
- Access Maths
- Pret Homework (Jo Morgan)
- Simplifying Algebraic Fractions✦ (Jo Morgan, docx)
Dr Frost Resources
Dr Frost Video
K150: Divide Algebraic Terms.
K151: Divide Algebraic Terms With Powers.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 192c: Divide an algebraic term by an algebraic term with coefficient of 1 (maximum power of 2).
- 192d: Divide algebraic terms with positive coefficients (maximum power of 2).
- 192e: Divide algebraic terms with negative coefficients (maximum power of 2).
- 194e: Divide algebraic terms with powers.
- 387a: Simplify a factorised algebraic fraction.
- 192: Exam Practice: Dividing single algebraic terms (no index laws)
- 194: Exam Practice: Algebraic index laws (basic)
- 387: Exam Practice: Simplifying single algebraic fractions by cancelling common factors
Extension Materials
1.2 Cancelling After Factorising
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Simplifying Algebraic Expressions
Online Platforms (with Videos & Exercises)
- Khan Academy
- Simplifying algebraic fractions: Videos & practice
Activities & Resources
- Pixi Maths
- Simplifying Algebraic Fractions ppt (Slides 1-7)
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- Interactive Maths
- Simplifying Algebraic Fractions: Video
- Go Teach Maths
- Mr Thompson Maths
- Dr Austin Maths
- #TypedUp
- Simplification of Fractions by Factors II✦ (typed up by @mathsbox1)
- Ticktock Maths
Worksheets
- Corbettmaths
- Algebraic Fractions Practice Questions (Q16-18) & Solutions
- Simplifying Algebraic Fractions Worksheet & Solutions
- Algebraic Fractions AQA Level 2 (Q1-6) Practice Questions & Solutions
- Maths 4 Everyone
- Dr Austin Maths
- Access Maths
- @taylorda01
- 1st Class Maths
- MadAsMaths (T. Madas)
- Algebraic Fractions Simplifying Rational Expressions Q1–5
- Starting Points Maths
- Mr Morley Maths
- Simplifying Algebraic Fractions: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K412: Simplify Algebraic Fractions Where Factorisation of One of the Numerator or Denominator is Required.
K413: Simplify Algebraic Fractions Where Factorisation of Both the Numerator and Denominator is Required.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 387b: Simplify algebraic fractions where factorising out a common term in one of the numerator or denominator is required.
- 387c: Simplify algebraic fractions where factorising out a common term in both the numerator and denominator is required.
- 387d: Simplify algebraic fractions where factorisation of a simple quadratic on the numerator or denominator is required.
- 387e: Simplify algebraic fractions where factorisation of a simple quadratic on both the numerator and denominator is required.
- 387f: Simplify algebraic fractions where factorisation of a non-monic quadratic expression on the numerator or denominator is required.
- 387g: Simplify algebraic fractions where factorisation of a non-monic quadratic expression on both the numerator and denominator is required.
- 387h: Simplify algebraic fractions where one factorised term is a negative of another.
- 387: Exam Practice: Simplifying single algebraic fractions by cancelling common factors
Extension Materials
2.1 Multiplying & Dividing Algebraic Fractions
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Multiplying Algebraic Fractions
Corbett Maths Dividing Algebraic Fractions
Online Platforms (with Videos & Exercises)
- Khan Academy
- Multiplying & dividing algebraic fractions: Videos & practice
Activities & Resources
- Pixi Maths
- Simplifying Algebraic Fractions ppt (Slides 8-13)
- Math = Love (Sarah Carter)
- Interactive Maths
- Multiplying & Dividing Algebraic Fractions: Video
- Go Teach Maths
- BossMaths
- A4f Simplifying, Multiplying & Dividing Algebraic Fractions (Parts 2 & 3 multiplying and dividing; videos)
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Algebraic Fractions Practice Questions (Q9-15) & Solutions
- Multiplying Algebraic Fractions Worksheet & Solutions
- Dividing Algebraic Fractions Worksheet & Solutions
- Algebraic Fractions AQA Level 2 (Q7-16) Practice Questions & Solutions
- Pixi Maths
- Access Maths
- Multiplying & Dividing Algebraic Fractions: Multiplying (Fluency & Reasoning) | Dividing (Fluency & Reasoning)
- MadAsMaths (T. Madas)
- Algebraic Fractions Multiplication & Division Q1–3
- Mr Morley Maths
- Multiplying and Dividing Algebraic Fractions: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost resources
Dr Frost Video
K409: Multiply Algebraic Fractions With Single Terms on the Numerators and Denominators.
K410: Divide Algebraic Fractions With Single Terms on the Numerators and Denominators.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions (no factorising required)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 388a: Multiply algebraic fractions with single terms on the numerators and denominators.
- 388b: Divide algebraic fractions with single terms on the numerators and denominators.
- 388c: Multiply algebraic fractions with bracketed expressions on the numerators and denominators.
- 388d: Divide algebraic fractions with bracketed expressions on the numerators and denominators.
- 388e: Multiply algebraic fractions requiring prior simple factorisation.
- 388f: Divide algebraic fractions requiring prior simple factorisation.
- 388g: Multiply algebraic fractions requiring prior factorisation including monic quadratic expressions.
- 388h: Divide algebraic fractions requiring prior factorisation including monic quadratic expressions.
- 388i: Multiply algebraic fractions requiring prior factorisation, including non-monic quadratic expressions.
- 388j: Divide algebraic fractions requiring prior factorisation, including non-monic quadratic expressions.
- 388: Exam Practice: Multiplying and dividing algebraic fractions
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
3.1 Adding & Subtracting Algebraic Fractions (Numerical Denominator)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Adding Algebraic Fractions (Up to 2:52)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Adding & subtracting algebraic fractions: Videos & practice
Activities
- Andy Lutwyche
- Go Teach Maths
- BossMaths
Worksheets
- Corbettmaths
- Maths 4 Everyone
- Addition and Subtraction Topic Review (Top Row Only)
- Miss Konstantine (MathsHKO)
- Access Maths
Dr Frost resources
Dr Frost Video
K408: Add and Subtract Algebraic Fractions With Integer Denominators.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 389a: Add and subtract algebraic fractions with integer denominators and single terms on the numerators.
- 389b: Add algebraic fractions with integer denominators and linear expressions on the numerators.
- 389c: Subtract algebraic fractions with integer denominators and linear expressions on the numerators.
- 389: Exam Practice: Adding and subtracting algebraic fractions (no factorisation of denominators required)
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.2 Adding & Subtracting Algebraic Fractions (Algebraic Denominator)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Adding Algebraic Fractions (From 2:52)
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
- Simplifying Algebraic Fractions ppt (Slides 14 Onwards)
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Acute Learning Problem Pairs
- Level 2 FM: Algebraic Fractions as PowerPoint or PDF
- Interactive Maths
- Adding & Subtracting Algebraic Fractions: Video
- Ticktock Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Algebraic Fractions (Everything up to this point) Practice Questions & Solutions
- Algebraic Fractions Worksheet (Q2 & 4) & Solutions
- Maths 4 Everyone
- Pixi Maths
- 1st Class Maths
- MadAsMaths (T. Madas)
- Algebraic Fractions Adding Algebraic Fractions Q1–10
- Mr Morley Maths
- Adding and Subtracting Algebraic Fractions: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost resources
Dr Frost Video
K605: Add Algebraic Fractions With Algebraic Linear Denominators.
K606: Subtract Algebraic Fractions With Algebraic Linear Denominators.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 389d: Add or subtract algebraic fractions with algebraic denominators made up of single terms.
- 389e: Add algebraic fractions with algebraic linear denominators.
- 389f: Subtract algebraic fractions with algebraic linear denominators.
- 389g: Add or subtract a mixture of fractional and non-fractional algebraic terms.
- 389h: Add and/or subtract three algebraic fractions all with different denominators. (not yet active)
- 389i: Add or subtract algebraic fractions with a factorised quadratic expression in one denominator.
- 389j: Combine multiplication or division of algebraic fractions with an addition or subtraction.
- 390a: Add or subtract algebraic fractions where non-quadratic factorising is required (changing one denominator).
- 390b: Add or subtract algebraic fractions where non-quadratic factorising is required (changing two denominators).
- 390c: Add or subtract algebraic fractions where quadratic factorising is required (changing one denominator).
- 390d: Add or subtract algebraic fractions where quadratic factorising is required (changing two denominators).
- 390e: Add or subtract three fractions requiring prior factorisation.
- 390f: Combine multiplication or division of algebraic fractions, requiring prior factorisation of the denominators, with an addition or subtraction.
- 389: Exam Practice: Adding and subtracting algebraic fractions (no factorisation of denominators required)
- 390: Exam Practice: Adding and subtracting algebraic fractions, requiring prior factorisation of the denominators
Further Practice
- Practise Questions
EXTENSION MATERIALS
4.1 Solving Simple Equations with Algebraic Fractions
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Equations Involving Algebraic Fractions
Corbett Maths Equations Cross Multiplying
Online Platforms (with Videos & Exercises)
Activities
- Don Steward
- Transum
- Interactive Maths
- Solving Equations with Algebraic Fractions: Video
- Go Teach Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Equations Involving Fractions Practice Questions & Solutions
- Equations Involving Fractions Worksheet & Solutions
- Cross Multiplication Practice Questions & Solutions
- Cross Multiplication Worksheet & Solutions
- Algebraic Fractions Worksheet (Q5 & some of 6) & Solutions
- Algebraic Fractions AQA Level 2 (Q17-19) Practice Questions & Solutions
- Maths 4 Everyone
- Access Maths
- MadAsMaths (T. Madas)
- Equations Exam Questions I Q31 (difficulty 3 of 5)
- Equations Basic Techniques Fractional Equations Q1–4
- Pret Homework (Rachel Mahoney)
- Solving Equations with Fractions (Rachel Mahoney, pptx)
Dr Frost resources
Dr Frost Video
K371: Solve an Equation With One Fraction Equals to a Linear Expression.
K373: Solve an Equation With One Fraction Equal to Another Fraction.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 258d: Solve equations of the form ax+b/c=d/e
- 258l: Solve equations of the form ax+b/c=dx+e/f
- 258p: Solve equations of the form ax+b/c+dx+e/f=gx+h
- 258q: Solve equations of the form ax+b/c=dx+e/f+gx+h
- 258: Exam Practice: Solving linear equations involving fractions
Further Practice
- Practise Questions
EXTENSION MATERIALS
4.2 Solving Advanced Equations with Algebraic Fractions
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Equations: Advanced Algebraic Fractions
Online Platforms (with Videos & Exercises)
- Khan Academy
- Rational (algebraic fraction) equations: Videos & practice
Activities
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Go Teach Maths
- Ticktock Maths
Worksheets
- Corbettmaths
- Solving Equations: Fractional (Advanced) Practice Questions & Solutions
- Equations: Advanced Fractional Worksheet & Solutions
- Algebraic Fractions Worksheet (Q6) & Solutions
- Algebraic Fractions AQA Level 2 (Q20-23) Practice Questions & Solutions
- Maths 4 Everyone
- 1st Class Maths
- MadAsMaths (T. Madas)
- Algebraic Fractions Exam Questions Q3–4, 10–11, 13–14, 21–22 (difficulty 2–3 of 5)
- Equations Exam Questions I Q1, 7, 11, 13, 15–16, 29–30, 53 (difficulty 2–4 of 5)
- Identities Q25 (difficulty 4 of 5)
- Equations Basic Techniques Fractional Equations Q5–11
Dr Frost resources
Dr Frost Video
K614: Solve an Equation With Fractions Leading to a Quadratic Equation.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 258e: Solve equations of the form a/bx=c
- 258f: Solve equations of the form a/xk=b or fracasqrt[k]x=b
- 258g: Solve equations of the form a/bx+c=d
- 258h: Solve equations of the form a/bx+c=d
- 258m: Solve equations of the form ax/b=c/dxk
- 258n: Solve equations of the form ax+b/cx=d
- 258o: Solve equations of the form ax+b/cx+d=e
- 462a: Solve an equation of the form ax + b/x + c = 0
- 462b: Solve an equation with a single algebraic fraction on one side of the equation, leading to a quadratic equation.
- 462c: Solve an equation of the form ax+b/cx+d = ex+f/gx+h
- 462d: Solve an equation of the form a/bx+c ± d/ex+f = g
- 462e: Solve an equation with fractions requiring prior factorisation of one of the fractions.
- 462f: Form and solve an equation with algebraic fractions on each side given algebraic terms in a geometric sequence. (not yet active)
- 462g: Form and solve a quadratic equation involving fractions from context. (not yet active)
- 258: Exam Practice: Solving linear equations involving fractions
- 462: Exam Practice: Solving equations involving fractions that lead to a quadratic equation
Further Practice
- Practise Questions
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Algebraic Fractions PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Algebraic Fractions as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Mathshelper (Jon Stone)
- MathedUp
- Algebraic Fractions: Worksheet · Practice · Quiz · Exam · Question Gallery
- Algebraic Fractions: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Algebraic Fractions: Booklet · Worksheet · Solutions · Lesson · Topic page
- Physics & Maths Tutor
- MME
Activities
- Math = Love (Sarah Carter)
- Intervention Tasks
- Don Steward
- Transum
- Go Teach Maths
- CP3 Maths (cparkinson3)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.