- Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations.
- Use the concepts and vocabulary of factor (divisor), multiple, common factor, common multiple and prime number.
- Approximate to specified degrees of accuracy including a given power of ten, number of decimal places and significant figures.
- Understand that 'percentage‘ means 'number of parts per 100' and use this to compare proportions.
- Find proportional change
- Divide a quantity in a given ratio.
- Use calculators effectively and efficiently.
- Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements.
- Convert measurements from one unit to another
- Make sensible estimates of a range of measures.
- Understand and use compound measures in familiar and unfamiliar contexts.
- Understand and use bearings.
- Measure and draw lines and angles.
- Set up, and solve simple equations
- Use the conventions for coordinates in the plane and plot points in all four quadrants
- Recognise and plot equations that correspond to straight-line graphs in the coordinate plane.
- Find approximate solutions of equations using graphical methods and systematic trial and improvement
- Find and interpret gradients and intercepts of straight line graphs in practical contexts.
- Construct linear functions from real-life problems and plot their corresponding graphs.
- Recognise and use graphs that illustrate direct proportion
- Discuss, plot and interpret graphs (which may be nonlinear) modelling real situations, including journeys / travel graphs.
- Calculate areas under graphs consisting only of straight lines and interpret the result.
- Recall and use properties of angles at a point, angles at a point on a straight line (including right angles), perpendicular lines, and vertically opposite angles.
- Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals.
- Recall the properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus.
- Recognise reflection and rotation symmetry of 2D shapes.
- Understand congruence and similarity, including the relationship between lengths, in similar figures.
- Use Pythagoras’ theorem in 2D.
- Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment
- Use 2D representations of 3D shapes.
- Use and interpret maps and scale drawings.
- Draw triangles and other 2D shapes using a ruler, pair of compasses and protractor.
- Use straight edge and a pair of compasses to do constructions
- Construct loci
- Find circumferences of circles and areas enclosed by circles.
- Calculate perimeters and areas of shapes made from triangles and rectangles.
- Calculate volumes of right prisms and of shapes made from cubes and cuboids.