Overview Maths 2015

Refer to the National
Curriculum
document for more in
depth examples.
Remember the
power of using
models and
images to enhance
children’s
learning.
Teachers should
strive to use and
apply mathematics
across all areas of
learning.
We should develop
an appreciation of
the beauty and
power of
mathematics and a
sense of enjoyment
and curiosity about
the subject.
Use Numicon
regularly and
consistently to
support the
assessment,
teaching and learning
of tricky concepts.
Overview
Maths 2015 - 16
The cross
curricular use of
maths should be
planned for and
recorded in each
half term planning
jigsaw.
Take lots of maths
photos to include
on the school
website.
Number – Number and
place value
Count to and across 100,
forwards and backwards from
any number.
Number – Addition and
subtraction
Count read and write numbers
to 100, count in 2’s 5’s and
10’s.
To read, write and interpret
mathematical statements using + =signs.
Identify 1 more and 1 less
Use number bonds and related
subtraction facts within 20.
Add and subtract 1 and 2 digits
numbers to 20.
Solve one step problems such as 7
= ? -9
Number – Multiplication
and division
Solve one step problems
involving multiplication and
division, by calculating the
answer by using concrete
objects, pictorial
representations and arrays
with teacher support.
Read and write numbers from
1 – 20 in numerals and words.
Number – fractions
Recognise find and name a
half as one of two equal parts
of an object shape or quantity.
Recognise find and name a
quarter as one of four equal
parts of an object shape or
quantity.
Year 1 Overview
Maths 2015 - 16
Measurement
Compare, describe and solve
practical problems for;
Lengths and heights, Mass,
weight, volume, Time
Know the value of different
denominations of coins and notes.
Sequence time chronologically,
use language about days of week,
days, tell the time to the hour and
half past.
Geometry – properties of
shape
Recognise and name, 2D
shapes – rectangles, circles,
squares, triangles.
Geometry – position and
direction
Describe position direction
and movement including
whole, half three quarter
turns.
3D shapes – cuboids, cubes
pyramids, spheres.
Number – Number and
place value
Count in steps of 2, 3, 5 from 0 and in
10’s from any number forwards and
backwards.
Year 2 Overview
Maths 2015 - 16
Recognise place value of each digit in
2 digit number.
Number – Addition and
subtraction
Solve problems using addition and
subtraction.
Usase addition and subtraction facts to 20
and find related facts to 100.
Add and subtract, 2 digit numbers and 1’s,
2 digit and 10’s, 2 2 digit numbers, 3 1
digit numbers.
Show communtative additrion and inverse
relationships.
Estimate numbers using pictorial
representations including number
lines.
Compare numbers from 0 to 100 using
less than, more than and = signs.
Choose and use appropriate units to
estimate and measure length, height,
Mass, temperature, capacity, time.
Use pv and number facts to solve
problems.
Compare and order measurements
using less than more than = signs.
Number – fractions
Recognise, find, write and
name fractions third, quarter
three quarters, 2 quarters of a
shape or quantity.
Number –
Write simple fractions eg ½ of
6 =3.
Multiplication and division
Recognise that 2/4 = ½.
Write mathematical statements using
correct signs.
Solve problems using arrays, repeated
addition and subtraction etc.
Recognise symbols £, p
Compare and sequence intervals of
time. Tell the time to 5 minutes know
minutes in hour, hours in day.
Geometry – properties of shape
Describe properties of 2D and 3D
shapes, number of sides, edges,
vertices, lines of symmetry.
Recall and use facts for 2, 5 10.
Recognise odd and even numbers.
Learn commutative multiplication.
Measurement
Geometry – position and
direction
Order and arrange mathematical
objects in patterns and sequences.
Use mathematical vocabulary to
describe position direction and
movement, straight line, rotation,
turn at right angles, clockwise, anti
clockwise.
Identify shapes on 3D shapes eg
square on cube.
Sort common 2D and 3D shapes.
Number – Number and place
value
Year 3 Overview
Maths 2015 - 16
Count in multiples of 4,8,50 and 100.
Find 10 or 100 more or less than a
number.
Number – Addition and
subtraction
Add subtract numbers mentally such
as 3 digit number and 1’s, 10’s 100’s.
Add subtract numbers up to 3 digits
using formal written methods of
columns.
Estimate answer and use inverse
operations to check.
Solve problems including missing
number problems.
Know the pv of each digit up to 3 digits.
Compare, order numbers up to 100.
Represent and estimate numbers in
different ways.
Solve number problems.
Number – fractions
Count up and down in tenths Divide 1
digit numbers into 10ths.
Recognise and use fractions as
numbers.
Measurement
Measure compare add subtract lengths m/cm/
mm, mass volume capacity.
Measure perimeter of simple 2D shapes.
Add subtract amounts of money to give change
in practical contexts.,
Tell time from analogue clock using Roman
numerals from 1 – XII and 12 hour 24 hour
clocks. Estimate and read time to the nearest
minute.
Know number seconds in minute days in
months and compare time durations.
Use diagrams to show equivalent
fractions with small denominators.
Number – Multiplication and
division
Add and subtract, compare and order
fractions with the same denominator.
Recall multiplication and division
facts for 3, 4 and 8 times tables.
Solve problems that involve
fractions.
Calculate multiplication of 2 digit by 1
digit using known facts progressing to
more formal methods.
Solve problems including missing
number problems including scaling.
Statistics
Interpret and present data
using bar charts, pictograms
and tables.
Solve 1 and 2 step questions
like ‘How many
more…?’using bar charts
pictograms and tables.
Geometry – properties of shape
Draw 2 d shapes, make 3 D shapes –
recognise in different orientation.
Recognise angles as a property of shape
or a description of turn.
Identify right angles - 2 right angles make
a half turn, etc Identify angles less or more
than RA
Identify horizontal, vertical lines pairs of
perpendicular and parallel line.
Number –
Number and place value
Count in multiples of 6,7,9,25,1000 and count
backwards through 0 to negative numbers.
Year 4 Overview
Maths 2015 - 16
Find 1000 more or less
Number –
Addition and subtraction
Add and subtract numbers with up
to 4 digits using formal written
methods (column).
Estimate and use inverse to check
Solve 2 step problems in contexts
deciding on appropriate operation
and why.
Number – Multiplication
and division
Know pv of digit in 4 digit numbers and order and
compare numbers beyond 1000
Round any number to nearest 10, 100, 1000
Solve problems
Read Roman numerals to 100.
Number – fractions
Recognise equivalent fractions
Measure and calculate perimeter of
rectangles and squares in cm and m
Find area of rectilinear shapes by
counting squares.
Estimate, compare and calculate different
measures.
Convert time 12 and 24 hour clocks
Solve problems involving increasingly harder fractions of
quantities including whole number answers.
Solve problems converting hours/mins
min/secs
Add and subtract fractions with same denominator
Yrs/mnths weeks/days
Recognise decimal equivalence of 1/10s and 1/100s, ¼,1/2, ¾
Divide 1 and 2 digits by 10 and 100
Round 1dp to the nearest whole number.
Use known facts to x and divide
mentally (including by 0 and 1)
Solve simple measure and money problems.
Geometry – properties of
shape
Compare classify goemetric shapes based
on properties and sizes.
Identify acute and obtuse angles, compare
order angles up to 2 angles by size.
Recognise factor pairs and
communtativity.
Solve problems using multiplying and
adding using distributive law, integer
scaling – (see guidance)
Convert between units of measure km to
m hour to minute.
Count up and down in 1/100’s
Recall times tables facts up to 12 x 12.
Multiple 2 and 3 digit by 1 digit using
formal written layout.
Measurement
Identify lines of symmetry in 2 D shapes
presented in different orientations.
Geometry – position and
direction
Describe positions using coordinates in first quadrant.
Describe translations left right
up down.
Plot points and draw sides to
complete given polygon.
Complete a simple symmetrical shape with a
simple line of symmetry.
Number –
Number and place value
Year 5 Overview
Maths 2015 - 16
Read write order compare numbers to 1,000,000 know
value of digits.
Number – Addition and
subtraction
Add and subtract whole numbers more than
4 digits using column method.
Add and subtract mentally using bigger
numbers.
Use round to check answers and levels of
accuracy.
Solve multi step problems.
Count forwards, backwards in powers of 10 for any
number up to 1,000,000
Interpret negative number, count forwards, backwards
through 0
Round numbers to 1,000,000 to nearest 10, 100, 1000,
10000, 100,000
Solve number problems
Read roman numerals to 1,000
Number –
Multiplication and division
cont…
Recognise, use square and cube numbers.
Number –
Solve problems involving the 4 operations –
know what the equals sign means.
Identify multiples, factors, pairs of factors,
common factors.
Solve problems involving scaling
Know prime numbers and composite
numbers, recall prime numbers up to 19.
Divide 4 digits by I digit using formal
written methods.
Multiply divide by 10, 100, 1000 cont…
Compare, order fractions whose
denominator are multiples of same
number.
Name and write equivalent
fractions, represented visually
including 10th 100ths
Convert mixed numbers and
improper fractions.
Add subtract fractions with the
same denominator.
Solve problems involving factors/multiples/
squares/cubes
Multiplication and division
Multiply 4 digits by 1 or 2 digits.
Number – fractions.
Number – fractions cont
Read write order numbers up to 3dp.
Solve problems involving number up to
3dp
Understand % - write %’s as a fraction
with denominator 100 and as a decimal
Number – fractions cont.
Multiply proper and improper
fractions by whole numbers.
Read and write decimals as
fractions
Relate 1000ths to to 10ths, 100ths
and decimals
Round decimals with 2 dp to
nearest whole number and and
1dp.
Solve problems which require decimal
equivalents see guidance.
Measurement
Convert between measures eg
kg/g km/m/cm/mm etc
Year 5 Overview
Maths 2015 - 16
Know approximate
equivalents between imperial
and metric measures
Statistics
Solve comparison, sum and
difference problems using
information presented in a line
graph.
Complete read and interpret
information tables including
timetables.
Measure, calculate perimeter
of composite rectilinear
shapes
Cont….
Measurement
Calculate area of rectangles.
Estimate area of rectilinear shapes.
Estimate volume and capacity.
Geometry –
Solve problems converting between units
of time.
properties of shape cont…
Use all 4 operations in cluding decimal
notation and scaling. See guidance.
Identify angles at a point and one whole turn 36o
degrees.
Angles at a point on a straigth line total 180
Other multiples of 90
Ensure the use of
Numicon is continued to
support children who are
not on track to attain a
L4 by the end of Y6
Use properties of rectangles to deduce missing
lengths and angles.
Geometry – properties of
shape
Distinguish between regular and irregular
polygons.
Identify 3D shapes from 2 D
representations
Geometry – position and
direction
Identify and describe
properties of a shape after
translation and reflection.
Use appropriate language.
Estimate, compare acute,
obtuse reflex angles in
degrees.
Draw and measure angles
Number –
Number and place value
Read write and order numbers up to
10,000,000 and know the value of each
digit.
Number – Addition and
subtraction multiplication
division.
Multiply 4 digit numbers by 2 digit using
formal method of multiplication – see app
Round any whole number to a required
degree of accuracy.
Use negative numbers in context and
calculate intervals across 0
Solve problems in the above.
Divide 4 digit by 2 digit using formal long
division
Number –
Interpret remainders as fractions and
whole numbers or rounding….
fractions decimals, percentages.
Use common factors to simplify fractions and
express fractions with the same denominator.
Year 6 Overview
Maths 2015 - 16
Fractions decimals
percentages
Divide proper fractions by whole
numbers.
Associate a fraction with a division and
calculate decimal fraction equivalents
eg 1/8 = 0.125.
Identify value of each digit to 3dp and x
and divide numbers by 10, 100, 1000 to
3dp.
Compare order fractions including > 1
Number –
Addition and subtraction
multiplication division cont
Add and subtract fractions with different
denominators.
Multiply pairs of proper fractions writing answer in
simplest form. Cont…
Geometry –
properties of shape
Perform mental calculations with mixed
operations and large numbers.
Draw 2D shapes given dimensions and
angles
Identify common factors, multiples and prime
numbers
Recognise and build 3D shapes including
nets
Carry out calculations involving 4 operations
Solve addition, subtraction multi step
problems.
Geometry –
properties of shape
Illustrate and name parts of circles, radius,
circumference diameter and know diameter is
twice radius.
Recognise angles where they meet at a point
are on a straight line or are vertically opposite
and find missing angles.
Compare, classify geometric shapes and
find missing angles in triangles,
quadrilaterals regular polygons.Cont…
Ratio and proportion
Solve problems involving the relative
sizes of 2 quantities, where missing
values can be found by using
multiplication and division facts.
Year 6 Overview
Maths 2015 - 16
Calculate percentages eg 15% of 360
Algebra
Use simple formulae
Generate and describe linear number
sequences
Solve problems involving scaling up
and down.
Measurement
Solve problems involving unequal
sharing and grouping.
Solve problems by converting units
of measure using decimal notation
up to 3dp.
Express missing number problems
algebraically.
Find pairs of numbers that satisfy an
equation.
Enumerate the possibilities of
combinations of 2 variables.
Use read and write and convert
between standard units of length,
Mass, volume and time.
Statistics
Interpret and construct pie
charts and line graphs and use
these to solve problems.
Calculate and interpret the mean
as the average.
Go back to notes and
guidance in NC for
numeracy for
detailed examples of
standard and level.
Convert between miles and
km.cont…
Measurement
Recognise that shapes with the same
areas can have different perimeters.
Use formulae for areas and volumes
Calculate area of parallelograms and
triangles
Geometry – position and
direction
Describe positions on the full
co-ordinate grid.
Draw and translate simple
shapes on the co0rdinate
plane and reflect them in the
axes.
Calculate estimate volumes of cubes,
cuboids, using standard units.