-- Number --

✔

Add, subtract, multiply and divide.

Use decimals, fractions, percentages, ratios and reciprocals.

Convert between decimals, fractions and percentages.

Understand and use the symbols =, < and >.

Understand the meaning of sum, difference and product.

Use standard form (scientific notation).

Understand that only the final answer in a calculation should be rounded.

Use decimal places and significant figures appropriately.

Make approximations and estimates to obtain reasonable answers.

Write numerical answers as decimals, or as percentages where appropriate.

-- Algebra --

✔

Use positive, whole number indices in algebraic expressions.

Substitute values of quantities into equations, using consistent units.

Solve simple algebraic equations for any one term when the other terms are known.

Recognise and use direct and inverse proportion.

Set up simple algebraic equations as mathematical models of physical situations and to represent information given in words.

Use ∆ (delta) in algebraic expressions and equations to represent changes in a variable.

-- Geometry and trigonometry --

✔

Understand the meaning of angle, curve, circle, radius, diameter, circumference, square, parallelogram, rectangle and diagonal.

Recall and use the equation for the circumference of a circle.

Recall and use the equations for the area of a rectangle, area of a triangle and area of a circle.

Recall and use the equations for the volume of a rectangular block and volume of a cylinder.

Use scale diagrams.

Apply Pythagoras’ theorem to the calculation of a side of a right-angled triangle.

Understand that a right angle is 90° and that the sum of the angles on a straight line is 180°.

Use trigonometric functions (sine, cosine, tangent and their inverses). Extended candidates only.

Use mathematical instruments (ruler, compasses, protractor, set square).

Recognise and use the points of the compass (N, S, E, W) and clockwise and anticlockwise directions.

Convert between metric units, e.g. cm³ and m³; mg, g and kg.

-- Graphs, charts and statistics --

✔

Draw graphs and charts from data.

Interpret graphs and charts, including interpolation and extrapolation of data.

Determine the gradient (slope) of a line on a graph; taking it by drawing a tangent to a curved line is Extended candidates only.

Determine the intercept of the line on a graph, extending the line graphically (extrapolating) where appropriate.

Select suitable scales and axes for graphs.

Understand that y = mx + c represents a linear relationship.

Recognise direct proportionality from a graph.

Calculate and use the average (mean) for a set of data.