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)