Algebra 6
Shape, Space and Measures 12
All should be able to
Use letter symbols to represent unknown numbers or variables; know the meanings of the words term, expression and equation.
Simplify linear algebraic expressions by collecting like terms.
Most should be able to
Begin to distinguish the different roles played by letter symbols in equations, formulae and functions; know the meanings of the words formula and function.
Know that algebraic operations follow the same conventions and order as arithmetic operations; use index notation for small positive integer powers.
Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket.
Use formulae from mathematics and other subjects; substitute integers into simple formulae, and positive integers into expressions involving small powers (e.g. 3x2 + 4 or 2x3); derive simple formulae.
Some should be able to
Use index notation for integer powers and simple instances of the index laws.
Simplify or transform algebraic expressions by taking out single term common factors.
Convert one metric unit to another (e.g. grams to kilograms);
read and interpret scales on a range of measuring instruments.
Know and use the formula for the area of a rectangle; calculate the perimeter and area of shapes made from rectangles.
Calculate the surface area of cubes and cuboids.
Use units of measurement to estimate, calculate and solve problems in everyday contexts involving length, area, volume, capacity, mass, time and angle; know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons).
Deduce and use formulae for the area of a triangle, parallelogram and trapezium; calculate areas of compound shapes made from rectangles and triangles.
Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids.
Investigate in a range of contexts: measures.
Convert between area measures (mm2 to cm2, cm2 to m2, and vice versa) and between volume measures (mm3 to cm3, cm3 to m3, and vice versa).
Know and use the formulae for the circumference and area of a circle.
Calculate the surface area and volume of right prisms.
