Algebra

Manipulating Expressions

  • Durham Maths Mysteries – Algebra Covers collecting like terms, expanding linear brackets and factorising linear expressions
  • Don Steward – Algebra Practice Makes Perfect
  • Don Steward – Algebra Snakes and Branching – great for building into solving equations
  • Don Steward – Find the gaps – collecting like terms and expanding brackets
  • Don Steward – One Incorrect Simplification – expanding and simplifying practice
  • Don Steward – Expanding and Simplifying
  • Don Steward – Forming Expressions tasks
  • NRICH – Creating and Manipulating Linear and Quadratic Expressions – Short Problems (1* – 3* challenges)
  • NRICH – Perimeter Expressions – collecting like terms (1* challenge)

Substitution

  • Don Steward – Formulas – substitution
  • Don Steward – Selecting Thoughtfully – substitution
  • Don Steward – Substitution
  • NRICH – Shape Products – substitution task (1* challenge)
  • NRICH – Fruity Totals – solving equations and substitution interactive task (1* challenge)
  • NRICH – What’s it Worth? Solving equations and substitution (1* challenge)
  • NRICH – Which is Bigger? Substitution task (KS4 2* challenge)

Problems Requiring Algebraic Reasoning

  • NRICH – Number Pyramids – Interactive task (1* challenge)
  • NRICH – Special Numbers (1* challenge)
  • NRICH – What’s it Worth? (1* challenge)
  • NRICH – Which is Cheaper? (KS4 1* challenge)
  • NRICH – Reversals (2* challenge)
  • NRICH – Fibonacci Surprises (2* challenge)
  • NRICH – Multiplication Square (KS4 2* challenge)

Forming and Solving Linear Equations

  • Don Steward – Problems that you could use algebra to solve
  • Don Steward – Solving Linear Equations
  • NRICH – Equations and Formulae – Short Problems (1* – 3* challenges)

Simultaneous Equations

  • Mr Barton’s Rich Task – Simultaneous Equations Staircase
  • NRICH – Which is Cheaper? (KS4 1* challenge)
  • NRICH – Warmsnug Double Glazing (KS4 1* challenge)
  • NRICH – Temperature (2* challenge)
  • NRICH – Negatively Triangular (KS4 2* challenge)
  • NRICH – Matchless (KS4 2* challenge)
  • NRICH – System Speak (KS5 1* challenge)

Quadratics

  • Resourceaholic Quadratics Problem Set
  • Don Steward – Quadratic Formula
  • NRICH – Equations and Formulae – Short Problems (1* – 3* challenges)
  • NRICH – Quadratic Patterns – reasoning with quadratics (2* problem)
  • NRICH – Pythagoras’ Perimeters – reasoning with quadratics and Pythagoras (KS4 2* challenge)
  • NRICH – How Old Am I? Reasoning with quadratics (KS4 1* challenge)
  • NRICH – Parabolic Patterns – naming curves (KS4/5 1* challenge)

Polynomials

  • Don Steward – Solving Cubics Using Iteration
  • NRICH – Curve Fitter – cubic graphs, Desmos tool available (KS4/5 1* challenge)
  • NRICH – Exploring Cubic Functions – interactive graph task (KS4/5 2* challenge)

Linear Graphs

  • Don Steward – Five Lines – where do two lines intersect?
  • Open Middle – Linear Function from Table of Values
  • NRICH – Functions and Graphs – Short Problems (1*-3* challenges)
  • NRICH – How Steep is the Slope? Gradient activity (1* challenge)
  • NRICH – Diamond Collector – interactive equation of a straight line task (1* challenge)
  • NRICH – Translating Lines – interactive equation of a straight line task (1* challenge)
  • NRICH – Reflecting Lines – interactive equation of a straight line task (1* challenge)
  • NRICH – At Right Angles – interactive perpendicular gradients (KS4 2* challenge)
  • NRICH – Surprising Transformations – transforming linear graphs (KS4 2* challenge)

Sequences

  • New Zealand Maths – Race to 100
  • New Zealand Maths – Triangular Numbers
  • Don Steward – Coordinate Sequences
  • Don Steward – Quadratic nth terms
  • NRICH – Patterns and Sequences – Short Problems (1* – 3* challenges)
  • NRICH – Odds, Evens and More Evens – is 1000 a term in these sequences? (1* challenge)
  • NRICH – Number Shacks – spotting sequences (1* challenge)
  • NRICH – Picturing Square Numbers (1* challenge)
  • NRICH – Picturing Triangle Numbers – interactive task (1* challenge)
  • NRICH – Growing Surprises – find nth term of a pattern (1* challenge)
  • NRICH – Double Trouble – adding fractions. Video included (KS4 1* challenge)
  • NRICH – Slick Summing – video task (KS4 1* challenge)
  • NRICH – Square Number Surprises (KS4 2* challenge)
  • NRICH – Fibonacci Sequences (2* challenge)
  • NRICH – Harmonic Triangle – fractions (KS4 3* challenge)

Proof

  • Don Steward – Multiple Proofs
  • Don Steward – Generalising
  • NRICH – Always Perfect (KS4 2* challenge)
  • NRICH – Perfectly Square (KS4 2* challenge)
  • NRICH – 2-digit Square (KS4 3* challenge)
  • NRICH – Picture Story – video based task (KS4 2* challenge)
  • NRICH – Doesn’t Add Up – area (KS4 2* challenge)

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