required a two-digit including and division find pairs of between compare and reflect them the mean / line graphs/ pie degree of whole number fractions > 1 facts numbers that standard units, classify in the axes. as an charts accuracy using the satisfy an converting geometric average. add and solve formal written equation with measurements shapes based subtract use problems method of two unknowns of length, mass, on their fractions with negative involving the long division, volume and properties and different numbers in calculation of enumerate and interpret time from a sizes and find denominators context, and percentages possibilities of remainders smaller unit of unknown and mixed calculate [for example, combinations as whole measure to a angles in any numbers, intervals of measures, of two number larger unit, and triangles, using the across zero and such as variables. remainders, vice versa, quadrilaterals, concept of 15% of 360] fractions, or using decimal and regular solve equivalent and the use by rounding, notation to up polygons number and fractions of as to three decimal practical percentages illustrate and multiply simple appropriate places problems for name of pairs of proper for the that involve comparison convert circles, fractions, context all of the between miles including writing the above. solve divide and kilometres radius, answer in its problems numbers up diameter and simplest form involving recognise that to 4 digits by circumference [for example, similar shapes with the a two-digit and know that × = ] shapes where same areas can number using the diameter is divide proper the scale have different the formal twice the fractions by factor is perimeters and written radius whole known or can vice versa method of numbers [for be found recognise short division recognise when example, ÷ 2 angles where where solve it is possible to = ] they meet at a appropriate, problems use formulae associate a point, are on a interpreting involving for area and fraction with straight line, or remainders unequal volume of division and are vertically according to sharing and shapes calculate opposite, and the context grouping decimal find missing calculate the using perform fraction angles. area of knowledge of mental equivalents parallelograms fractions and calculations, [for example, and triangles multiples. including with 0.375] for a calculate, mixed simple fraction estimate and operations [for example, ] compare and large identify the volume of numbers value of each cubes and digit in identify cuboids using numbers given common standard units, to three
required degree of accuracy use negative numbers in context, and calculate intervals across zero solve number and practical problems that involve all of the above. a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context perform mental calculations, including with mixed operations and large numbers identify common including fractions > 1 add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, × = ] divide proper fractions by whole numbers [for example, ÷ 2 = ] associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, ] identify the value of each digit in numbers given to three and division facts solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison solve problems involving similar shapes where the scale factor is known or can be found solve problems involving unequal sharing and grouping using knowledge of fractions and multiples. find pairs of numbers that satisfy an equation with two unknowns enumerate possibilities of combinations of two variables. between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to three decimal places convert between miles and kilometres recognise that shapes with the same areas can have different perimeters and vice versa recognise when it is possible to use formulae for area and volume of shapes calculate the area of parallelograms and triangles calculate, estimate and compare volume of cubes and cuboids using standard units, compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons illustrate and name of circles, including radius, diameter and circumference and know that the diameter is twice the radius recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles. reflect them in the axes. the mean as an average. / line graphs/ pie charts
year6_ngps.docx