Year Group __6_
Maths Medium Term Plan
Mental Maths Spring 1
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Term ___Spring 2015
Mental Maths Spring 2
Algorithms – addition, subtraction, multiplication & division
6,7,8 & 9x tables
Count on or back in steps of decimals (tenths & hundredths) and whole
numbers
Multiply pairs of multiples of 10 and 100 (50x 30)
Recognise that a number with an odd number of factors is a square
number
Use knowledge of x facts to derive quickly squares of numbers to 12x12
and corresponding squares of multiples of 10
Identify nos with odd and even nos of factors and no factor pairs other
than 1 and themselves
Find all pairs of factors of any number up to 100
Rounding to the nearest 10, 100 or 1000 1 decimal place
Multiply and divide by 10,100,1000
Know and apply tests of divisibility by 2, 3, 4, 5, 6, 9, 10, 25, 100 and 1000
Doubles and halves of whole numbers to 100 (mentally) and decimals,
e.g. half of 5.6, double 3.4
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What must be added to any four-digit number to make the next multiple of
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What must be added to a decimal with units and tenths to make the next
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Multiply by near multiples of ten by multiplying by the nearest multiple of
ten and adjusting e.g. multiply by 19 or 21 by multiplying by 20 and
adjusting
Sums and differences of decimals, e.g. 6.5 + 2.7, 7.8 – 1.3
Mentally add or subtract a pair of decimal numbers, each less than 1 and
with up to two decimal places
Finding fractions of amounts & shapes
Add 9 / 19 / 99 to a number
Know by heart decimal equivalence (1/2 ¼ ¾ 1/10 etc)
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Algorithms – addition, subtraction, multiplication & division
Algorithms – all with decimals
3,4,6,7,8 & 9x tables
Count on or back in steps of decimals (tenths & hundredths) and whole
numbers
Make and investigate a general statement about familiar numbers or
shapes by finding examples that satisfy it
Recognise and explain patterns and relationships, generalise and predict
Recognise and extend number sequences
Area & Perimeter
Find what to add to a decimal with units, tenths and hundredths to make the
next higher whole number or tenth
Know by heart decimal equivalence (1/2 ¼ ¾ 1/10 etc)
Explain value of each digit to at least 2 dp
X div by 10,100,1000
Negative Numbers – counting
What must be added to a decimal with units, tenths and hundredths to
make the next whole number (7.26+?=8)
Measures & converting cm/m etc
Link fract/dec/%
Doubles of decimals each with units & tenths
Doubles/ Halves (that they should know)
Work out which fraction is larger/smaller by cancelling common factors
Add near doubles of decimals (2.5+2.6)
Divide by 25 or 50
Multiply & divide decimals mentally by 10 or 100 & integers to 1000
Equivalent fractions, decimals and percentages for hundredths (35% is
equivalent to 0.35 or 35/100)
Calculate angles, eg in right angle
Square numbers/root
Add / subtract pairs of decimals with units, tenths or hundredths(0.7+3.38)
Time & Timetables
Maths Topics Spring 1
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Use decimal notation for tenths, hundredths and thousandths;
Count in steps of decimals (0.1, 0.01, 0.001)
Partition, decimals with up to three places
Order and position decimals on a number line
Round whole numbers to the nearest 10, 100, 1000 and decimals
Use efficient written methods to add and subtract integers and decimals
Develop from explaining a generalised relationship in words to express it
in a formula using letters as symbols
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)
Multiply two-digit numbers by single digit numbers by partitioning, e.g.
4.7 × 6 = (4 × 6) + (0.7 × 6)
To multiply and divide integers and decimals by a one-digit integer
To multiply two-digit and three-digit integers by a two-digit integer
Use approximations, inverse operations and tests of divisibility to estimate
and check results and to solve missing number problems
Calculate the area of a rectangle
Calculate the area of compound shapes that can be split into rectangles
Estimate the area of an irregular shape by counting squares
Describe, identify and visualise parallel and perpendicular edges or faces;
use these properties to classify 2-D shapes and 3-D solids
Rehearse the terms ‘polyhedron’, ‘tetrahedron’, ‘octahedron’ and begin
to use ‘dodecahedron’
Visualise 3D shapes from 2D drawings and identify different nets for a
closed cube
Make and draw shapes with increasing accuracy and apply knowledge of
their properties
Recognise parallel and perpendicular faces and edges on 3D shapes
Read & plot coordinates in all quadrants
Find the mode and range of a set of data
Begin to find the median and mean of a set of data
Calculate different types of average for a set of data
interpret frequency tables, bar charts with grouped discrete data, and line
graphs; interpret pie charts
Describe and predict outcomes from data using the language of chance or
likelihood
Maths Topics Spring 2
 Consolidate adding two or more integers less than 10 000 using standard
written methods
 Consolidate estimating by approximating an addition of two or more integers,
less than 10 000, then checking result
 Use coordinates in the first quadrant to draw, locate and complete shapes that
meet given 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
 Express one quantity as a percentage of another (e.g. express £400 as a
percentage of £1000); find equivalent percentages, decimals and fractions
 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 1 35 pizzas); simplify fractions
by cancelling common factors; order a set of fractions by converting them to
fractions with a common denominator
 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)
 Solve problems involving percentages, e.g. find discounted prices
 Find the difference between a positive and a negative number
 Find the difference between two negative numbers
 Consolidate ordering a given set of positive and negative numbers
 Use negative numbers in context, and calculate intervals across zero
 Consolidate knowledge of tests of divisibility by 2, 4, 5, 10 and 100
 Know and apply tests of divisibility by 3, 6 and 9
 Recognise events that are equally likely
 Predict the outcome of equally likely events
 Introduce the probability scale of 0 to 1 on the number line
 Solve simple problems involving direct proportion by scaling quantities
 Multiply & divide ThHTU ×/ U using standard methods
 Multiply & divide HTU ×/ TU using standard written methods (HA long x/)
 Focussing on problem solving & answering SATs questions (&Calculator
& brackets
 Multiplying U.t × U and U.th × U using standard written methods
 Calculate mentally with integers and decimals: U.t ± U.t, TU × U, TU ÷ U,
U.t × U, U.t ÷ U
 Measure and calculate the perimeter of rectilinear shapes
 Calculate the perimeter of simple compound shapes that can be split into
rectangles