Year 6 [Violet]
• Solve
multi-step problems, and problems involving fractions, decimals
and percentages; choose and use appropriate calculation strategies
at each stage, including calculator use
• Tabulate systematically the information in a problem or
puzzle; identify and record the steps or calculations needed to
solve it, using symbols where appropriate; interpret solutions
in the original context and check their accuracy
• Suggest, plan and develop lines of enquiry; collect, organise
and represent information, interpret results and review methods;
identify and answer related questions
• Represent and interpret sequences, patterns and relationships
involving numbers and shapes; suggest and test hypotheses; construct
and use simple expressions and formulae in words then symbols
(e.g. the cost of c pens at 15 pence each is 15c pence)
• Explain reasoning and conclusions, using words, symbols
or diagrams as appropriate
• Find the difference between a positive and a negative
integer, or two negative integers, in context
• Use decimal notation for tenths, hundredths and thousandths;
partition, round and order decimals with up to three places, and
position them on the number line
• Express a larger whole number as a fraction of a smaller
one (e.g. recognise that 8 slices of a 5-slice pizza represents
8/5 or 13/5 pizzas); simplify fractions by cancelling common factors;
order a set of fractions by converting them to fractions with
a common denominator
• Express one quantity as a percentage of another (e.g.
express £400 as a percentage of £1000); find equivalent
percentages, decimals and fractions
• Solve simple problems involving direct proportion by scaling
quantities up or down
• Use knowledge of place value and multiplication facts
to 10 × 10 to derive related multiplication and division
facts involving decimals (e.g. 0.8 × 7, 4.8 ÷ 6)
• Use knowledge of multiplication facts to derive quickly
squares of numbers to 12 × 12 and the corresponding squares
of multiples of 10
• Recognise that prime numbers have only two factors and
identify prime numbers less than 100; find the prime factors of
two-digit numbers
• Use approximations, inverse operations and tests of divisibility
to estimate and check results
• Calculate mentally with integers and decimals: U.t ±
U.t, TU × U, TU ÷ U, U.t × U, U.t ÷
U
• Use efficient written methods to add and subtract integers
and decimals, to multiply and divide integers and decimals by
a one-digit integer, and to multiply two-digit and three-digit
integers by a two-digit integer
• Relate fractions to multiplication and division (e.g.
6 ÷ 2 = 1/2 of 6 = 6 × 1/2); express a quotient as
a fraction or decimal (e.g. 67 ÷ 5 = 13.4 or 132/5); find
fractions and percentages of whole-number quantities (e.g. 5/8
of 96, 65% of £260)
• Use a calculator to solve problems involving multi-step
calculations
• Describe, identify and visualise parallel and perpendicular
edges or faces; use these properties to classify 2-D shapes and
3-D solids
• Make and draw shapes with increasing accuracy and apply
knowledge of their properties
• Visualise and draw on grids of different types where a
shape will be after reflection, after translations, or after rotation
through 90° or 180° about its centre or one of its vertices
• Use coordinates in the first quadrant to draw, locate
and complete shapes that meet given properties
• Estimate angles, and use a protractor to measure and draw
them, on their own and in shapes; calculate angles in a triangle
or around a point
• Select and use standard metric units of measure and convert
between units using decimals to two places (e.g. change 2.75 litres
to 2750 ml, or vice versa)
• Read and interpret scales on a range of measuring instruments,
recognising that the measurement made is approximate and recording
results to a required degree of accuracy; compare readings on
different scales, for example when using different instruments
• Calculate the perimeter and area of rectilinear shapes;
estimate the area of an irregular shape by counting squares
• Describe and predict outcomes from data using the language
of chance or likelihood
• Solve problems by collecting, selecting, processing, presenting
and interpreting data, using ICT where appropriate; draw conclusions
and identify further questions to ask
• Construct and interpret frequency tables, bar charts with
grouped discrete data, and line graphs; interpret pie charts
• Describe and interpret results and solutions to problems
using the mode, range, median and mean
