standard units, and cuboids using parallelograms, radius, chord, calculate surface square centimetres standard units, trapezia diameter, area of right prisms (cm²) and square including cubic calculate surface circumference (including cylinders) metres (m²) and centimetres (cm³) area of cuboids know the calculate exactly estimate the area of and cubic metres know and apply formulae: with multiples of irregular shapes (m³), and formulae to circumference of π estimate volume extending to calculate volume a circle = 2πr = know the [for example, using other units [for πd, area of a circle of cuboids formulae for: 1 cm³ blocks to example, mm³ and understand and = πr² Pythagoras’ build cuboids km³] use standard calculate areas of theorem, a² + b² (including cubes)] recognise when it mathematical circles and = c², and apply it and capacity [for is possible to use formulae composite shapes to find lengths in example, using formulae for area know and apply right-angled water] and volume of formulae to triangles in two shape calculate volume dimensional solve problems of right prisms figures involving the (including calculation and cylinders) conversion of units of measure, using decimal notation up to three decimal places where appropriate Checking, Approximating and Estimating Stage 4l Stage 5n Stage 6o Stage 7o Stage 8 Stage 9 Stage 10 round any number round any number solve problems round numbers to the nearest 10, up to 1 000 000 to which require and measures to 100 or 1000 the nearest 10, 100, answers to be an appropriate round decimals 1000, 10 000 and rounded to degree of with one decimal 100 000 specified degrees accuracy (e.g. to a place to the nearest round decimals of accuracy specified number of decimal places whole number with two decimal use estimation to estimate and use places to the check answers to or significant inverse operations nearest whole calculations and figures) to check answers number and to one determine, in the estimate answers; to a calculation decimal place context of a check calculations solve number and use rounding to problem, an using practical problems check answers to appropriate approximation that involve all of calculations and and estimation,
standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water] and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³] recognise when it is possible to use formulae for area and volume of shape solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate parallelograms, trapezia calculate surface area of cuboids know and apply formulae to calculate volume of cuboids understand and use standard mathematical formulae radius, chord, diameter, circumference know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr² calculate areas of circles and composite shapes know and apply formulae to calculate volume of right prisms (including cylinders) calculate surface area of right prisms (including cylinders) calculate exactly with multiples of π know the formulae for: Pythagoras’ theorem, a² + b² = c², and apply it to find lengths in right-angled triangles in two dimensional figures Checking, Approximating and Estimating Stage 4l Stage 5n Stage 6o Stage 7o Stage 8 Stage 9 Stage 10 round any number to the nearest 10, 100 or 1000 round decimals with one decimal place to the nearest whole number estimate and use inverse operations to check answers to a calculation solve number and practical problems that involve all of round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000 round decimals with two decimal places to the nearest whole number and to one decimal place use rounding to check answers to calculations and solve problems which require answers to be rounded to specified degrees of accuracy use estimation to check answers to calculations and determine, in the context of a problem, an appropriate round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures) estimate answers; check calculations using approximation and estimation,
Framework-of-Progression-MASTER.docx