Year 6 mathematics lesson plans (national curriculum)

ENG-NC-MA-Y6-001

read, write, order and compare numbers up to 10,000,000 and determine the value of each digit

ENG-NC-MA-Y6-002

round any whole number to a required degree of accuracy

ENG-NC-MA-Y6-003

use negative numbers in context, and calculate intervals across 0

ENG-NC-MA-Y6-004

solve number and practical problems that involve all of the above

ENG-NC-MA-Y6-005

multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

ENG-NC-MA-Y6-006

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

ENG-NC-MA-Y6-007

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

ENG-NC-MA-Y6-008

perform mental calculations, including with mixed operations and large numbers

ENG-NC-MA-Y6-009

identify common factors, common multiples and prime numbers

ENG-NC-MA-Y6-010

use their knowledge of the order of operations to carry out calculations involving the 4 operations

ENG-NC-MA-Y6-011

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

ENG-NC-MA-Y6-012

solve problems involving addition, subtraction, multiplication and division

ENG-NC-MA-Y6-013

use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

ENG-NC-MA-Y6-014

use common factors to simplify fractions; use common multiples to express fractions in the same denomination

ENG-NC-MA-Y6-015

compare and order fractions, including fractions >1

ENG-NC-MA-Y6-016

add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

ENG-NC-MA-Y6-017

multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, [Fraction:1/4] × [Fraction:1/2] = [Fraction:1/8]]

ENG-NC-MA-Y6-018

divide proper fractions by whole numbers [for example, [Fraction:1/3] ÷ 2 = [Fraction:1/6]]

ENG-NC-MA-Y6-019

associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, [Fraction:3/8]]

ENG-NC-MA-Y6-020

identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places

ENG-NC-MA-Y6-021

multiply one-digit numbers with up to 2 decimal places by whole numbers

ENG-NC-MA-Y6-022

use written division methods in cases where the answer has up to 2 decimal places

ENG-NC-MA-Y6-023

solve problems which require answers to be rounded to specified degrees of accuracy

ENG-NC-MA-Y6-024

recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

ENG-NC-MA-Y6-025

solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts

ENG-NC-MA-Y6-026

solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison

ENG-NC-MA-Y6-027

solve problems involving similar shapes where the scale factor is known or can be found

ENG-NC-MA-Y6-028

solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

ENG-NC-MA-Y6-029

use simple formulae

ENG-NC-MA-Y6-030

generate and describe linear number sequences

ENG-NC-MA-Y6-031

express missing number problems algebraically

ENG-NC-MA-Y6-032

find pairs of numbers that satisfy an equation with 2 unknowns

ENG-NC-MA-Y6-033

enumerate possibilities of combinations of 2 variables

ENG-NC-MA-Y6-034

solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate

ENG-NC-MA-Y6-035

use, read, write and convert 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 3 decimal places

ENG-NC-MA-Y6-036

convert between miles and kilometres

ENG-NC-MA-Y6-037

recognise that shapes with the same areas can have different perimeters and vice versa

ENG-NC-MA-Y6-038

recognise when it is possible to use formulae for area and volume of shapes

ENG-NC-MA-Y6-039

calculate the area of parallelograms and triangles

ENG-NC-MA-Y6-040

calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]

ENG-NC-MA-Y6-041

draw 2-D shapes using given dimensions and angles

ENG-NC-MA-Y6-042

recognise, describe and build simple 3-D shapes, including making nets

ENG-NC-MA-Y6-043

compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons

ENG-NC-MA-Y6-044

illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

ENG-NC-MA-Y6-045

recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles

ENG-NC-MA-Y6-046

describe positions on the full coordinate grid (all 4 quadrants)

ENG-NC-MA-Y6-047

draw and translate simple shapes on the coordinate plane, and reflect them in the axes

ENG-NC-MA-Y6-048

interpret and construct pie charts and line graphs and use these to solve problems

ENG-NC-MA-Y6-049

calculate and interpret the mean as an average