## Mathematics

### Number

- Counter: An interactive counter to help with writing numbers and understanding place value.
- CounterAttack!: A game to help with reading numbers.
- Directed Number Aritmetic: Adding and subtracting negative numbers. E.g. 5 + -2 = 3.
- Directed Number Aritmetic 2: Multiplying and dividing negative numbers. E.g. 5 × -2 = -10.
- Directed Numbers - Puzzle Tables: Find the missing numbers.
- Estimating Using 1 Significant Figure: Estimating the answers to calculations by rounding each number to 1sf.
- Estimating square roots: e.g. √51 = 7.1
- Equivalent Questions: Finding the missing number to give the same answers. E.g. 12 + 23 = 18 + ? or 12 × 4 = ? × 8.
- Equivalent Questions 2: Finding the missing number to give the same answers. Harder questions.
- Fractions
- Fraction Arithmetic: Addition and Subtraction.
- Fractions & Decimals: Converting between fractions and decimals without a calculator.
- Fraction Match!: A game pairing equivalent fractions.
- Fraction Decimal Match!: A game matching fractions with decimals.
- Fraction Percentage Match!: A game matching fractions with percentages.
- Fraction Decimal Percentage Match!: A game matching fractions, decimals and percentages.
- Equivalent Fractions: A couple of examples looking at relationships between equivalent fractions.
- Simplifying Fractions: Write fractions in their simplest form.
- Highest Common Factors: Find the HCF of two numbers.
- Mathaxians: A game to help learn times tables.
- Multiplication Tables: Random questions.
- Multiplication Tables Match Up: Matching game.
- Multiplication Tables Loop Cards: Create and print a set of cards.
- Percentages
- Percentage Decimal Match!: A game matching fractions with decimals.
- Percentage Change: Random question table on percentage change, including reverse percentages.
- Percentages Gallery: Examples of percentages and calculator methods.
- Percentages and Percentage Change: Random questions. Choosing the right method.
- Repeated Percentage Change: Random questions on repeated percentage change.
- Reverse Percentages: Random questions on finding original values.
- Powers of 10: Multiplying and dividing by 10, 100, 0.1, 0.01 etc.
- Recipes: Proportion questions.
- Ratio - Dividing: Dividing money in a given ratio.
- Scale: An interactive scale to help with scale reading and linear sequences.
- Standard Form: Writing numbers in standard form. E.g. 2.867 × 10
^{6}. - Standard Form (Whole Number Bases): Writing numbers in standard form. E.g. 3 × 10
^{4}. - Standard Form Match Up: Match numbers with their equivalents in standard form.
- Standard Form Products: Multiplying numbers in standard form.
- Standard Form Quotients: Dividing numbers in standard form.
- Surds: Simplifying single surds.
- Surds 2: Simplifying surds with more than one term.
- What Do I Add or Subtract?: E.g. What do I add to 11 to get 5?

### Algebra

- Completing the Square: Question generator.
- Completing the Square 1: Completing the square for quadratics x
^{2}+ bx +c where b is even. - Completing the Square 2: Completing the square for quadratics ax
^{2}+ bx +c where a = 1 to 3 and is a common factor. - Completing the Square 3: Completing the square for quadratics ax
^{2}+ bx +c where a = -4 to 4 and is a common factor. - Coordinate Game: Find the secret point.
- Cubic Trial & Improvement: Solving cubic equations using trial and improvement.
- Expanding double brackets: E.g. (x + 2)(x - 5).
- Expanding double brackets Loop Cards: Generate and print loop cards.
- Expanding double brackets 2: E.g. (3x + 2)(7x - 5).
- Expanding double brackets Match-Up: Interactive matching game.
- Expanding & factorising single brackets: E.g. 2(c + 3) = 2c + 6.
- Expanding single brackets Loop Cards: Generate and print loop cards.
- 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).
- Gradient: The gradient between two points.
- Graph types: Recognising different types of graph.
- 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.
- Match-Up: Expressions: Interactive matching game with simplified and unsimplified expressions.
- 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.
- 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.
- 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?
- Proportion: Randomly generated questions on direct and inverse proportion.
- Quadratic equations: Solving various types. E.g. x
^{2}+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.
- Straight lines and gradients: A Desmos example generator.
- Tables of values: Creating tables of values for quadratic and cubic graphs.

### Shape & Measure

- Bounds: Upper and lower bounds of measurements.
- Circle theorems: An interactive teaching tool to help investigate circle theorems.
- Compound Area: Discussing how to find the area of compound shapes made from rectangles.
- Estimates: Estimating length, mass and capacity.
- Match-Up: Angle Names: Interactive matching game to learn names of angles.
- Parallelograms and Triangles: Splitting parallelograms into triangles.
- Polygons and Quadrilaterals: Gallery.
- Match-Up: Polygons: Interactive matching game to learn how many sides each polygon has.
- Pythagoras: Finding the distance between two points.
- Quadrilaterals: Gallery with properties.
- Radians: Converting between radians and degrees.
- Trigonometry: Finding sides and angles in right-angled triangles.

### Data & Probability

- Statistics S1 index: Full index of resources for the AS-Level Statistics course.

- Discrete & continuous data: Examples of different types of data.
- Finding the Mean: of between 2 and 5 numbers.
- Estimating the mean from a grouped frequency table: Random questions with answers.
- The mean with negative numbers: Simple examples and questions.
- The Intersection of two sets: Some examples to show how the intersection of two sets restricts what is shaded on a Venn diagram.
- Probability trees: Test your understanding of probability trees.
- Scatter graphs & correlation: An interactive teaching tool for AS-Level statistics.
- The Union of two sets: Some examples to show how the union of two sets extends what is shaded on a Venn diagram.
- Venn diagrams: A simple animation showing examples of sets shaded on a Venn diagram.

### Core 1

- Recurrence Induction: Proving the nth term of recurrence relations via induction.

### Core 2

- Logarithms: Evaluating numbers written as logarithms.

### Core 3

- Differentiation: Practising the chain rule.

### Mechanics 1

- Moments: Simple examples, finding mass or distance.

### Decision Maths 1

- Matchings: Examples, diagrams and some key terms.