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Maths

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Topic List

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Data

Number

Shape & Measure

Algebra

Coordinates

• Coordinate Game: Find the secret point.

Expanding Brackets and Factorising

• Expanding & factorising single brackets: E.g. 2(c + 3) = 2c + 6.
• Expanding single brackets Loop Cards: Generate and print loop cards.
• Expanding double brackets: E.g. (x + 2)(x - 5).
• Expanding double brackets video tutorial: 978KB Quicktime .mov file.
• Expanding double brackets 2: E.g. (3x + 2)(7x - 5).
• Expanding double brackets Loop Cards: Generate and print loop cards.
• Expanding double brackets Match-Up: Interactive matching game.
• Factorising quadratics 1: Randomly generated factorising questions.
• Factorising quadratics 2: As above but slightly harder.
• Factorising quadratics 3: E.G. Factorising to give (3x + 2)(7x - 5).

Graphs

• Graph types: Recognising different types of graph.
• Tables of values: Creating tables of values for quadratic and cubic graphs.
• Gradient: The gradient between two points.

Indices (Powers)

• Indices: An introduction to the laws of indices.
• Indices 2: Further notes on indices, including positive and negative fractional indices.
• Indices questions: Easier questions on basic powers.

Manipulation

• Match-Up: Expressions: Interactive matching game with simplified and unsimplified expressions.
• Completing the Square 1: Completing the square for quadratics x² + bx +c where b is even.
• Completing the Square 2: Completing the square for quadratics ax² + bx +c where a = 1 to 3 and is a common factor.
• Completing the Square 3: Completing the square for quadratics ax² + bx +c where a = -4 to 4 and is a common factor.

Proportion

• Proportion: Randomly generated questions on direct and inverse proportion.

Sequences (Number Patterns)

• nth terms: nth terms of linear sequences an+b where a is positive or negative.
• nth term Match-Up: Match nth terms with sequences against the clock.
• nth terms of Quadratics: Find the terms or find the rule for the nth term.

Solving Equations

• Linear equations 1: Simple linear equations. E.g. 3x = 12 , x - 2 = 7 , x/3 = 2 , 3x + 2 = 17.
• Linear equations 2: Linear equations with brackets on one side. E.g. 2(x + 5) = 12.
• Linear equations 3: With variable on both sides. E.g. 2x - 3 = x + 7.
• Quadratic equations: Solving various types. E.g. x²+3x+2=0. E.g. (x-3)(x+5)=33.
• Quadratic roots: Finding their nature using the descriminant.
• Simultaneous equations: Randomly generated mixed difficulty questions.
• Cubic Trial & Improvement: Solving cubic equations using trial and improvement.

Investigations

• Opposite Corners: Can you predict what the answers will be? Can you find rules? Can you write the rules using algebra? Can you prove your theories?