Overview and progression map for Mathematics

Mathematics overview and progression map
KEY STAGE 1
YEAR
1
YEAR
LOWER KEY STAGE 2
2
YEAR
3
YEAR
UPPER KEY STAGE 2
4
YEAR
5
YEAR
6
Number and place value
Count
to 100 in steps of 1, 2,
5 & 10
in steps of 2, 3, 5 forwards
& backwards
in steps of 4, 8, 50 and 100,
forwards and backwards
in steps of 6, 7, 9, 25,1000,
forwards and backwards
in steps of 10,000 & 100,000
forwards & backwards
Read & write numbers
Order
from 1 to 20
to 100
to 1,000
to 10,000
to 1,000,000
to 10,000,000
understand most, least,
fewer, more
Use symbols <, > and =
numbers to 1,000
to 10,000
to 1,000,000
to 10,000,000
tens and ones
hundreds
thousands
millions
ten millions
to the nearest 10, 100 or 1000
to nearest 10,000 or 100,000
any number to any nearest amount
count through zero
calculate intervals through zero
Place value
Rounding
Negatives
Addition and subtraction
Number bonds
Mental maths
up to 20
up to 100
single digits
two 2-digit numbers
3-digit numbers +/- ones,
tens or hundreds
3-digit number +/2-digit numbers
4-digit numbers
mixed operations and large
numbers
3-digit numbers
4-digit numbers, two step
problems
more than 5-digits and above
4-digit numbers by 2-digit
numbers, multi-step
Multiplication and division
one step
Calculate
Mental maths & times tables
Written methods
one step
2-digit x/÷ 1-digit
2, 5 & 10
3, 4 & 8
factors pairs, multiply decimals by
10, 100 & 1000
common factors, common
multiples
up 12 x 12
divide mentally
multiply 2-digit & 3-digit
numbers
multiply 4-digits numbers, 4-digits ÷
by 2 to 9
know primes to 19, use correct terms
interpret remainders as
fractions /whole numbers
identify any number as prime /
composite
recognise and write
recall at speed
Primes, prime factors and composites
Square and cube numbers
Order of operations
use to carry out calculations
with the four operations
Fractions
count in ½s, ¼s, tenths &
hundredths
fractions of fractions
improper fractions & mixed numbers
simplify fractions
fractions with same
denominator, below 1 unit
fractions with same
denominator, above 1 unit
more than two fractions with the
same denominator
proper fractions and mixed number
fractions with different
denominators
fractions x fractions
Recognise, compare and write
1 decimal place
up to 3 decimal places
any number of decimal places
Decimal to fractions equivalents
¼, ½, ¾ , tenths
hundredths, 1/5, 2/5, 4/5
1/8, 1/3
Multiply and divide
by 10 or 100
by 1000
Rounding
1 decimal place to nearest whole
2 decimal place to nearest whole or
to one decimal place
recognise decimal and fraction
equivalents of 50%, 25%, 20% 40%,
and 80%
numbers with 2 decimal places x
whole numbers
solve word problems which
require rounding
calculate percentages of whole
numbers
Recognise, find, name
and write
Add and subtract
½&¼
1/3 & ¾
Multiply
Decimals
Percentages
Ratio and proportion
solve word problems
Algebra
find missing numbers and solve
number sentences with up to 2
unknowns
Measures
Length & height
compare, describe, measure
record, read scales, order
add, subtract
convert cm to mm
convert km to mm to cm to mm
solve word problems
Mass/weight
Compare, describe, measure
Record, read scales, order
add, subtract
convert kg to g
estimate weight of everyday objects
solve word problems
Capacity
Compare, describe, measure
Record, read scales, order
add, subtract
convert l to ml
recognise and estimate volume
Time
compare, describe, o’clock,
and half past
read clock face
read & convert 12-hr & 24hr
add and subtract
convert hrs to min; min to secs;
yrs to months
to 2 decimal places
write timetables
Area
of rectangles by counting
of rectangles by measuring and
calculating
Perimeter
of rectangles, by calculating
of composite shapes, by measuring
and calculating
compare volume of cubes and
cuboids
interpret timetable and time
lines
give change with speed &
accuracy
recognise shapes with same area
can have different perimeters;
calculate area of triangles and
parallelograms
recognise shapes with same
perimeter can have different
area
draw using given dimensions and
angles, use protractor, mark right
angles – kite, arrowhead, pentagon,
hexagon, octagon
identify from 2-D pictures
Money
give change in retail role play
Geometry
2-D shape
recognise and name
number of side
draw with a ruler
compare and classify
3-D shapes
square, rectangle, circle,
triangle
recognise and name
cube, cuboid, pyramid,
sphere
½, 1/4, ¾ turns
some quadrilaterals,
polygons
edges, vertices, faces
semi circle, right-angled
triangle
describe accurately, make
models
hemisphere
all triangles, parallelograms,
rhombus, trapezium
categorise & order by
properties – square based &
triangular-based pyramids
order and arrange
order and arrange
recognise right angles,
acute, obtuse
identify horizontal,
vertical, parallel,
perpendicular
compare angles
Rotation
Patterns
cylinder, cone, prisms
Rotation, straight lines
Angles
Lines and reflections
recognise lines of symmetry
tetrahedrons
identify/show position after rotation
find angles, identify radius,
diameter and circumference
heptagon, decagon
Build 3-D shapes from nets – all
3-D shapes
reflex, angles around a point,
estimate & measure
reflect simple shapes on coordinate
planes (vertical and horizontal)
find unknown angles
all four quadrants
Coordinates
first quadrant, plot points
second quadrant
Translation
Left/right or up/down
Identify and show position after
translation
calculate sum and difference
complete, including timetables
interpret and draw
calculate sum and difference
reflect simple shapes on a 45º
plane
Data
Pictograms, tally charts, tables
Bar charts, line graphs
compare, categorise
read and draw
Pie charts
read and draw
Mean, median, mode, range
calculate and interpret
Autumn 1
Year
1
Whole school overview
Autumn 2
Spring 1
Number-Addition
Number-
& subtraction
Geometry
Properties of shape
of Maths Topics
Spring 2
Summer 1
Number-Place
Number-Add &
Number-Number
value; subtraction;
counting and number
order
patterns; doubles;
grouping & sharing; + & fractions
value; + & - grouping &
subtract; fractions;
multiplication & division
& place value; + & -,
fractions; x & ÷
Measurement
Measurement
Geometry
Geometry
Geometry
Measurement
Measurement
Measuring
Time and standard units
of measure
Number-Estimate,
Number-Estimate,
Number
Geometry
Geometry
Turns & direction
Properties of 2D/3D
shapes
Measures
Measures including
time.
sharing;
Shape, position and
movement
Measurement
Moving and turning
Measures & time
Year
2
Number-Counting,
reading writing
numbers; addition,
subtraction, repeated
addition & subtraction
Geometry
2D shapes
Measurement
Units of measure,
compare and order
Year
3
Geometry
value, rounding, count in
6, 7, 9, 25, 1000; 1000
more/less
Column add/subtract up
to 4 digits; tables facts
to 12 x 12
Properties of shapes
Measurement
Convert between units
of measure, perimeter
of shapes
Number
- Place
value to 7-digit, column
add & subtract, factors
of numbers, x/÷ by 10,
100, 1000, use known
facts to x/÷
Geometry
Draw, name, measure
types of angles, convert
units, area, perimeter
Measurement
Data in tallies, tables
and pictograms
estimate, add/subtract
2- & 3-digits; doubling,
halving, TU x U;
Fractions of shapes and
numbers
Read/write time
Statistics
Pictograms & tables
Number-Column
add/subtract up to 4
digits; use inverse to
check, solve problems
using x & +; equivalent
fractions, fractions of
quantities
Geometry
Quadrants, angles
value and rounding,
multi-step problems in
context and all 4 ops,
ThHTU x/÷TU,
Geometry
Circles and angles
Measurement
Convert & solve
problems using all units
of measure
Choose and use
standard units of
measure
Number- Place
value, rounding;
partitioning to
add/subtract; multiply
by multiples of 10;
informal methods of x
&÷
Measurement
Add/subtract money,
right angles in 2D
shapes
Number- Place
value, rounding, Roman
numerals, add &
subtract using column
method; table facts to
12 x 12; multiply
HTU/TU x U; divide by
10 & 100, fractions and
equivalent decimals
count, order, using
mental strategies;
arrays, grouping, tables
facts; fractions of
amounts, shapes and
objects
Measurement
Tell & write time
Statistics
Data in tables and
charts
Number-Column
+/- 2-digits; divide with
remainders; compare
unit & non-unit
fractions of
shapes/numbers
Regular, irregular
polygons, 3D shapes
Number-ThHTU
x/÷ TU using long
multiplication &
division, compare,
simplify & order
fractions, decimals, use
all 4 ops in context
Geometry
2D & 3D shapes, nets
Statistics
Pie charts, line graphs
write, order, round 2/3
digits; problems using x
& ÷; column +/- 3 –digits
Geometry
numbers, rounding,
place value, column
add/subtract including
multi-step problems,
square & cube numbers,
divide decimals, +/fractions
Geometry
add/subtract 2- & 3digits; written x & ÷
problems; shorts x & ÷;
add & subtract
fractions to make 1
Number-Inverse
Number-negative
Number-Tables
operations, tables facts
to 12 x 12, column add &
subtract, HTU/TU x U
Geometry
Types of angles,
quadrants, translations
Measurement
Number-Mental &
formal addition &
subtraction,
multiply/divide and
interpret remainder,
use % & relate to
fractions
Measurement
Statistics
Line graphs
numbers, order,
compare, rounding,
mental calculations,
column + & -, formal
HTU/TU x U, equivalent
fractions, add &
subtract fractions
Measurement
Convert between units
of measure, perimeter
& area of shapes in cm
&m
Number- negative
numbers, rounding,
Roman numerals,
add/subtract more than
4-digit numbers, multistep problems, x/÷ 4digit numbers, mixed
numbers & improper
fractions
Geometry
Estimate, compare
angles, regular &
irregular polygons
Measurement
Estimate volume, use all
4 ops to solve measure
problems
Number-Negative
Number- x/÷ 4-
Geometry
Measurement
Reflections,
translations
Convert between units
of measure, area &
volume of shapes, solve
conversions problems
Area & volume of shape
using standard units of
measure
Number-Column
Bar charts, tables &
pictograms
Measurement
Measurement
Data, tallies, tables,
pictograms
Statistics
Reflections &
translations
numbers, rounding,
solve multi-step
problems in context,
calculate with fractions
Statistics
Use l and ml
Conversions, capacity,
use all 4 ops to solve
measure problems
Conversions, use 4 ops
to solve measure
problems
Time
Scales, Bar charts,
Pictograms, tables.
Bar charts, line graphs,
pictograms, tables
Number-Negative
Measurement
Measurement
Statistics
Geometry
Number- Read,
Position and direction
Statistics
Statistics
x/÷ whole numbers &
decimals by 10, 100,
1000, x/÷ by 1 & 2digits, write, compare,
order decimals,
fractions & decimals
Length, mass, capacity
and money
Geometry
Use g & kg
12- & 24-hr clocks
Number-Formal
Measurement
Estimating, Counting,
comparing & ordering
numbers; partitioning &
sequencing; fractions of
shapes / quantities;
Vertical, horizontal,
parallel/perpendicular
lines; angles
Measurement
Bar charts, simple line
graphs, pictograms
count, order, compare
numbers; using mental
strategies to +/-,
repeated addition,
arrays, grouping;
fractions of quantities
Recognise/name shapes
Measurement
Analogue/digital, 12-hr,
24-hr, converting
between time units
Tables and charts
Number-Place
Geometry
Statistics
Statistics
Year
6
count, addition and
subtraction facts;
partitioning; repeated
addition, arrays,
grouping, times tables
Position and direction
Measurement
Number-Place
Number-Estimate,
Properties of 2D /3D
shapes
Measurement
Geometry
Year
5
and order numbers,
addition and
subtraction facts,
arrays & groupings,
fractions of quantities
& shapes
Number-Count,
Use cm, mm, m;
recognise and make
2D/3D shapes.
Year
4
Number-Compare
Number-Reading,
writing, ordering 2 & 3digits, counting /
estimating; adding 1 &
2-digits, multiplication
& division facts.
Summer 2
Number-Number
Place
digit by 2-digit, solve
problems using 4 ops, %
& fractions equivalent,
formulae
Statistics
Pie charts/line graphs
Number-Negative
numbers, place value,
add & subtract in
context, multiplication,
division, problem
solving, add & subtract
fractions, %
Ratio &
proportion
Solve problems
Measurement
12-hr & 24 hr clock
facts to 12 x 12; twostep add & subtract
problems, column add &
subtract 4-digits,
HTU/TU x U
Geometry
Types of angles, lines of
symmetry, translations
Statistics
Discrete & continuous
data, different
presentations
Number-Add &
subtract more than 4digit numbers, solve
problems using all 4 ops,
problems involving %,
read, write & compare
decimals
Geometry
Perimeter & area of
shapes, solve problems
involving x & ÷
Statistics
Interpret information
in tables, timetables &
line graphs
Number- x/÷
multi-digit numbers,
solve problems in
context, proper
fractions, % & decimals
Algebra
Algebraic problems,
number sequences
Measurement
Measure problems
Statistics
Pie charts, line graphs