solve problems same denominator example, 1/4 × decimal, and including in and denominators 1/2 = 1/8] interpret these financial involving increasingly harder that are multiples divide proper multiplicatively mathematics fractions to of the same fractions by whole compare two calculate exactly calculate quantities, number numbers [for quantities using with fractions multiply proper and fractions to example, 1/3 ÷ 2 percentages divide quantities, fractions and mixed = 1/6] solve problems including non-unit numbers by whole multiply one-digit involving fractions where the numbers, numbers with up percentage answer is a whole supported by to two decimal change, including number materials and places by whole percentage diagrams numbers increase/decrease solve problems solve problems which require involving the knowing calculation of percentage and percentages [for decimal equivalents example, of of 1/2, 1/4, 1/5, 2/5, measures, and 4/5 and those such as 15% of fractions with a 360] and the use denominator of a of percentages for multiple of 10 or 25 comparison solve problems involving number up to three decimal places Calculating Space Stage 4k Stage 5m Stage 6n Stage 7n Stage 8l Stage 9g Stage 10i measure and measure and recognise that use standard units compare lengths, identify and apply calculate surface area calculate the calculate the shapes with the of measure and areas and volumes circle definitions and volume of perimeter of a perimeter of same areas can related concepts using ratio and properties, spheres, pyramids, rectilinear figure composite have different (length, area, notation including: tangent, cones and composite (including squares) rectilinear shapes in perimeters and volume/capacity) calculate arc, sector and solids in centimetres and centimetres and vice versa segment calculate perimeters of 2D apply the concepts of metres metres calculate the area perimeters of 2D shapes, including calculate arc congruence and find the area of calculate and of parallelograms shapes circles lengths, angles and similarity, including rectilinear shapes compare the area and triangles know and apply identify and apply areas of sectors of the relationships by counting squares of rectangles calculate, estimate formulae to circle definitions circles between length, (including squares), and compare calculate area of and properties, areas and volumes in and including using volume of cubes triangles, including: centre, similar figures
solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number same denominator and denominators that are multiples of the same number multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25 solve problems involving number up to three decimal places example, 1/4 × 1/2 = 1/8] divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6] multiply one-digit numbers with up to two decimal places by whole numbers solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison decimal, and interpret these multiplicatively compare two quantities using percentages solve problems involving percentage change, including percentage increase/decrease including in financial mathematics calculate exactly with fractions Calculating Space Stage 4k Stage 5m Stage 6n Stage 7n Stage 8l Stage 9g Stage 10i measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres find the area of rectilinear shapes by counting squares measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres calculate and compare the area of rectangles (including squares), and including using recognise that shapes with the same areas can have different perimeters and vice versa calculate the area of parallelograms and triangles calculate, estimate and compare volume of cubes use standard units of measure and related concepts (length, area, volume/capacity) calculate perimeters of 2D shapes know and apply formulae to calculate area of triangles, compare lengths, areas and volumes using ratio notation calculate perimeters of 2D shapes, including circles identify and apply circle definitions and properties, including: centre, identify and apply circle definitions and properties, including: tangent, arc, sector and segment calculate arc lengths, angles and areas of sectors of circles calculate surface area and volume of spheres, pyramids, cones and composite solids apply the concepts of congruence and similarity, including the relationships between length, areas and volumes in similar figures
Framework-of-Progression-MASTER.docx