Author: HUser

Mental Calculation
perform mental calculations, including with mixed operations and large numbers
associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375) for a simple fraction (e.g. 3/8) (copied from Fractions)

Written Calculation
multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
divide numbers up to 4-digits by a two-digit whole number using the formal written method of short division where appropriate for the context divide numbers up to 4 digits by 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
use written division methods in cases where the answer has up to two decimal places (copied from Fractions (including decimals))

Properties of numbers: multiples, factors, primes, squares and cube numbers
identify common factors, common multiples and prime numbers
use common factors to simplify fractions; use common multiples to express fractions in the same denomination
(copied from Fractions)
calculate, estimate and compare volume of cubes and cuboids using standard units, including centimetre cubed (cm3) and cubic metres (m3), and extending to other units such as mm3 and km3
(copied from Measures)

Comparing numbers

Reading and writing numbers

Inverse operations, estimating and checking answers
use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy

Year 6: Multiplication and Division

Structured and unstructured number lines; counting objects for arrays; place value cards; Cuisenaire rods; bead strings; fractions walls; place value charts; Dienes

Multiplication &Division Facts

Counting in Fractional steps
Count up and down in hundredths

Identifying, representing and estimating numbers using objects and pictorial representations including the number line

Counting

Problem solving
Solve problems involving multiplication and division using materials, arrays , repeated addition , mental methods and multiplication and division facts , including problems in contexts.

Equivalence
Recognise and show using diagrams, families of common equivalent fractions

Order of operations
use their knowledge of the order of operations to carry out calculations involving the four operations

Multiplication and division of fractions
multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. 1/4 × 1/2 = 1/8)
multiply one-digit numbers with up to two decimal places by whole numbers
divide proper fractions by whole numbers (e.g. 1/3 ÷ 2 = 1/6 )

End of year 6 expectations building on from end of year 1, 2, 3, 4 and 5 expectations