YEAR 6
Number and
Use negative numbers in context, and calculate intervals across zero
•
Place Value
Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit
•
Identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and
•
1 000 where the answers are up to three decimal places
•
Round any whole number to a required degree of accuracy
•
Solve number and practical problems that involve all of the above
•
Fractions
Compare and order fractions, including fractions >1.
•
Identify the value of each digit in numbers given to three decimal places.
•
Solve problems which require answers to be rounded to specified degrees of accuracy.
•
Use common factors to simplify fractions; use common multiples to express fractions in the same
•
denomination.
Associate a fraction with division and calculate decimal fraction equivalents (e.g. 0.375) for a simple
•
3
fraction (e.g.
/
).
8
Recall and use equivalences between simple fractions, decimals and percentages, including in
•
different contexts.
Add and subtract fractions with different denominators and mixed numbers, using the concept of
•
equivalent fractions.
1
1
1
Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g.
/
×
/
=
/
).
•
4
2
8
Multiply one-digit numbers with up to two decimal places by whole numbers.
•
1
1
Divide proper fractions by whole numbers (e.g.
/
÷ 2 =
/
).
•
3
6
Ratio and
Solve problems involving the relative sizes of two quantities where missing values can be found by
•
Proportion
using integer multiplication and division facts
Solve problems involving the calculation of percentages (e.g. of measures) 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 or grouping using knowledge of fractions and multiples
•
Addition and
Perform mental calculations, including with mixed operations and large numbers.
•
Subtraction
Use their knowledge of the order of operations to carry out calculations involving the four operations.
•
Use estimation to check answers to calculations and determine, in the context of a problem, levels of
•
accuracy.
Solve addition and subtraction multi-step problems in contexts, deciding which operations and
•
methods to use and why.
Solve problems involving addition, subtraction, multiplication and division.
•
Multiplication
Count in decimal steps.
•
and Division
Use multiplication and division facts (12x12) to derive decimal multiplication and division facts.
•
Perform mental calculations, including with mixed operations and large numbers.
•
Solve problems involving addition, subtraction, multiplication and division.
•
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.
Algebra
Express missing number problems algebraically.
•
Find pairs of numbers that satisfy number sentences involving two unknowns.
•
Enumerate all possibilities of combinations of two variables use simple formulae.
•
Generate and describe linear number sequences.
•
Geometry -
Draw 2-D shapes using given dimensions and angles
•
Shape
Recognise, describe and build simple 3-D shapes, includingmaking nets
•
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 parts 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.