and deciding which using a formal mixed shapes in use the negative operations and written method, number [for centimetres and properties of whole methods to use including long example, + = metres rectangles to numbers, and why. multiplication = 1] deduce related calculate and including for two-digit facts and find add and compare the through numbers missing lengths subtract area of zero and angles multiply and fractions with rectangles any divide numbers the same (including distinguish number up mentally denominator squares), and between regular to drawing upon and including using and irregular 1 000 000 known facts denominators standard units, polygons based to the that are square on reasoning divide numbers nearest 10, multiples of centimetres about equal up to 4 digits 100, 1000, the same (cm2) and sides and by a one-digit 10 000 and number square metres angles. number using 100 000 (m2) and the formal multiply estimate the solve written method proper area of irregular number of short fractions and shapes problems division and mixed and interpret numbers by estimate practical remainders whole volume [for problems appropriately numbers, example, using that involve for the context supported by 1 cm3 blocks to all of the materials and build cuboids multiply and above diagrams (including divide cubes)] and read numbers and read and capacity [for Roman those involving write decimal example, using numerals to decimals by numbers as water] 1000 (M) 10, 100 and fractions [for and 1000 example, 0.71 problems recognise = ] involving recognise and years converting use square recognise and written in between units numbers and use Roman of time cube numbers, thousandths numerals. and the and relate use all four notation for them to operations to squared (2) tenths, solve problems and cubed (3) hundredths involving
and negative whole numbers, including through zero any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000 solve number problems and practical problems that involve all of the above read Roman numerals to 1000 (M) and recognise years written in Roman numerals. deciding which operations and methods to use and why. using a formal written method, including long multiplication for two-digit numbers multiply and divide numbers mentally drawing upon known facts divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context multiply and divide numbers and those involving decimals by 10, 100 and 1000 recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3) mixed number [for example, + = = 1] add and subtract fractions with the 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 read and write decimal numbers as fractions [for example, 0.71 = ] recognise and use thousandths and relate them to tenths, hundredths shapes in centimetres and metres calculate and compare the area of rectangles (including squares), and including using 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] problems involving converting between units of time use all four operations to solve problems involving use the properties of rectangles to deduce related facts and find missing lengths and angles distinguish between regular and irregular polygons based on reasoning about equal sides and angles.
year5_ngps.docx