LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
Topic
Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Exercise number)
Numbers and the number
system
4Nn1 Read and write numbers up
to 10 000.
Unit 1 Large numbers
L4A, U1, p4, ex1-3
Numbers and the number
system
4Nn2 Count on and back in ones,
tens, hundreds and thousands from
four-digit numbers.
Unit 2 Number patterns
L4A, U2, p14, ex3-4; L4A, U2, p16, ex1-3
Numbers and the number
system
4Nn3 Understand what each digit
represents in a three- or fourdigit number and partition into
thousands, hundreds, tens and
units.
Unit 1 Large numbers
L4A, U1, p4, ex1 and 3
Numbers and the number
system
4Nn4 Use decimal notation
and place value for tenths and
hundredths in context, e.g. order
amounts of money; convert a sum
of money such as $13.25 to cents,
or a length such as 125 cm to
metres; round a sum of money to
the nearest pound.
Unit 5 Addition and subtraction revisionc
Unit 7 Adding and subtracting money
L4A, U5, p45, ex3; L4A, U7, p60, ex1-3
Numbers and the number
system
4Nn5 Understand decimal notation
for tenths and hundredths in
context, e.g. length.
Unit 7 Adding and subtracting money
Unit 17 Comparing and ordering fractions
L4A, U7, p60-65; L4B, U17, p63, Try this
Numbers and the number
system
4Nn6 Find multiples of 10, 100,
1000 more/less than numbers of
up to four digits, e.g.
3407 + 20 = 3427.
Unit 2 Number patterns
L4A, U2, p16, ex1-3
Numbers and the number
system
4Nn7 Multiply and divide three-digit
numbers by 10 (whole number
answers) and understand the
effect; begin to multiply numbers
by 100 and perform related
divisions.
Unit 13 Multiplication
Unit 14 Division
L4B, U13, p6, ex1-4; L4B, U14, p22, ex1-2
Numbers and the number
system
4Nn8 Recognise multiples of 5, 10
and 100 up to 1000.
Unit 3 Multiples and factors
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Notes
Note that Level 4 also goes up to 999 999.
Note that pupils only go up to three-digit
numbers in Level 4.
Multiples covered, but not specifically 5, 10, 100
in Level 4.
1
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
National
Curriculum Topic
National Curriculum Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Activity)
Notes
Numbers and the number
system
4Nn9 Round three- and four-digit
numbers to the nearest 10 or 100.
Unit 1 Large numbers
L4A, U1, p12, ex1-3
Numbers and the number
system
4Nn10 Position accurately
numbers up to 1000 on an empty
number line or line marked off in
multiples of 10 or 100.
Unit 1 Large numbers
Unit 2 Number patterns
L4A, U1, p10, ex1; L4A, U2, p14, ex1-2
Numbers and the number
system
4Nn11 Estimate where three- and
four-digit numbers lie on empty
0–1000 or 0–10 000 lines.
Not covered
Numbers and the number
system
4Nn12 Compare pairs of three-digit
or four-digit numbers, using the >
and < signs, and find a number in
between each pair.
Unit 1 Large numbers
Numbers and the number
system
4Nn13 Use negative numbers in
context, e.g. temperature.
Not covered
Numbers and the number
system
4Nn14 Recognise and extend
number sequences formed by
counting in steps of constant
size, extending beyond zero when
counting back.
Unit 2 Number patterns
Numbers and the number
system
4Nn15 Recognise odd and even
numbers.
Not covered
Pupils look at odd and even numbers in Level 3.
Numbers and the number
system
4Nn16 Make general statements
about the sums and differences of
odd and even numbers.
Not covered
Pupils look at odd and even numbers in Level 3.
Numbers and the number
system
4Nn17 Order and compare two
or more fractions with the same
denominator (halves, quarters,
thirds, fifths, eighths or tenths).
Unit 18 Comparing and ordering fractions
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Note that three- and four-digit numbers on
0-1000 and 0-10000 lines are not covered.
L4A, U1, p10, ex1-2;
Note that pupils are not required to find numbers
between a pair of large numbers.
Negative numbers are covered in Level 5, Unit 2.
L4A, U2, p16, ex1-3
Note that pupils are not required to go lower
than zero.
L4B, U18, p50, ex2-3; L4B, U18, p53, 2-3
2
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
Topic
Macmillan Mathematics Level 4 A&B
Objective
Pupils should be taught to:
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Exercise number)
Numbers and the number
system
4Nn18 Recognise the equivalence
5
between: 12 , 48 and 10 ; 14 and 28 ;
1
2
5 and 10 .
Unit 17 Fractions and mixed numbers
L4B, U17, p45, ex2
Numbers and the number
system
4Nn19 Use equivalence to help
order fractions.
Unit 18 Comparing and ordering fractions
L4B, U18, p54, ex1-3
Numbers and the number
system
4Nn20 Understand the equivalence
between one-place decimals and
fractions in tenths.
Unit 19 Decimal fractions
L4B, U19, p68, ex1-4
Numbers and the number
system
4Nn21 Understand that 2 is
equivalent to 0.5 and also to
Unit 19 Decimal fractions
L4B, U19, p60, ex1-3
Numbers and the number
system
4Nn22 Recognise the equivalence
between the decimal fraction and
vulgar fraction forms of halves,
quarters, tenths and hundredths.
Unit 19 Decimal fractions
L4B, U19, p60, ex1-3; L4B, U19, p65, ex2-4
Numbers and the number
system
4Nn23 Recognise mixed numbers,
3
e.g. 5 4 , and order these on a
number line.
Unit 19 Decimal fractions
L4B, U19, p62, ex4
Numbers and the number
system
4Nn24 Relate finding fractions to
division.
Unit 17 Fractions and mixed numbers
L4B, U17, p46, lesson overview
Numbers and the number
system
4Nn25 Find halves, quarters, thirds,
fifths, eighths and tenths of shapes
and numbers.
Unit 17 Fractions and mixed numbers
L4B, U17, p46, ex1; L4B, U17, p48, ex1-2
Calculation
4Nc1 Derive quickly pairs of twodigit numbers with a total of 100,
e.g. 72 + = 100.
Not covered
1
5
10 .
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Notes
3
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
Topic
Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Exercise number)
Notes
Calculation
4Nc2 Derive quickly pairs of
multiples of 50 with a total of
1000, e.g. 850 + = 1000.
Not covered
Calculation
4Nc3 Identify simple fractions with
1
a total of 1, e.g. 4 + = 1.
Not covered
Note that pupils are not required to find fractions
specifically adding to 1 (adding fractions is
covered in Units 17-18).
Calculation
4Nc4 Know multiplication for 2×,
3×, 4×, 5×, 6×, 9× and 10× tables
and derive division facts.
Not covered
Multiplication tables are covered specifically at
Level 3.
Calculation
4Nc5 Recognise and begin to know
multiples of 2, 3, 4, 5 and 10, up to
the tenth multiple.
Not covered
Multiplication tables are covered specifically
at Level 3. Level 4 covers multiplying larger
numbers in Unit 13.
Calculation
4Nc6 Add three or four small
numbers, finding pairs that equal
10 or 20.
Not covered
Note that pupils are not required to add small
numbers in Level 4. Addition of larger numbers
is covered in Units 4-5.
Calculation
4Nc7 Add three two-digit multiples
of 10, e.g. 40 + 70 + 50.
Not covered
Note that pupils are not required to add small
numbers in Level 4. Addition of larger numbers
is covered in Units 4-5.
Calculation
4Nc8 Add and subtract near
multiples of 10 or 100 to or from
three-digit numbers, e.g. 367 – 198
or 278 + 49.
Not covered
Note that pupils are not required to add small
numbers in Level 4. Addition of larger numbers
is covered in Units 4-5.
Calculation
4Nc9 Add any pair of two-digit
numbers, choosing an appropriate
strategy.
Not covered
Note that pupils are not required to add small
numbers in Level 4. Addition of larger numbers
is covered in Units 4-5.
Calculation
4Nc10 Subtract any pair of
two-digit numbers, choosing an
appropriate strategy.
Not covered
Note that pupils are not required to subtract
small numbers in Level 4. Addition of larger
numbers is covered in Units 4-5.
Calculation
4Nc11 Find a difference between
near multiples of 100, e.g. 304
–296.
Not covered
Note that pupils are not required to subtract
small numbers in Level 4. Addition of larger
numbers is covered in Units 4-5.
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4
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
National
Curriculum Topic
National Curriculum Objective
Pupils should be taught to:
Macmillan Mathematicss Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Activity)
Notes
Calculation
4Nc12 Subtract a small number
crossing 100, e.g. 304 – 8.
Not covered
Note that pupils are not required to subtract
small numbers in Level 4. Addition of larger
numbers is covered in Units 4-5.
Calculation
4Nc13 Multiply any pair of singledigit numbers together.
Not covered
Note that pupils are not required to multiply
small numbers in Level 4. Larger numbers are
covered in Unit 13.
Calculation
4Nc14 Use knowledge of
commutativity to find the easier
way to multiply.
Unit 13 Multiplication
L4B, U13, p7, Try this activity; L4B, U13, p9,
Try this activity
Calculation
4Nc15 Understand the effect of
multiplying and dividing three-digit
numbers by 10.
Unit 13 Multiplication
Unit 14 Division
L4B, U13, p6, ex1-3; L4B, U14, p22, ex1-2
Calculation
4Nc16 Derive quickly doubles of
all whole numbers to 50, doubles
of multiples of 10 to 500, doubles
of multiples of 100 to 5000, and
corresponding halves.
Not covered
Calculation
4Nc17 Add pairs of three-digit
numbers.
Not covered
Note that pupils are not required to add threedigit numbers. Level 4 covers four-digit addition.
Calculation
4Nc18 Subtract a two-digit number
from a three-digit number.
Not covered
Pupils are not required to subtract single- or
two-digit numbers. Level 4 covers four-digit
subtraction.
Calculation
4Nc19 Subtract pairs of three-digit
numbers.
Not covered
Pupils are not required to subtract single-, twoor three-digit numbers. Level 4 covers four-digit
subtraction.
Calculation
4Nc20 Double any two-digit
number.
Not covered
Calculation
4Nc21 Multiply multiples of 10 to
90 by a single-digit number.
Unit 13 Multiplication
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L4B, U13, p6, ex1-4
Pupils only multiply two-digit numbers by 10
specifically.
Pupils are expected to multiply by two-digit
numbers.
5
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
National
Curriculum Topic
National Curriculum Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Calculation
4Nc22 Multiply a two-digit number
by a single-digit number.
Unit 13 Multiplication
Calculation
4Nc23 Divide two-digit numbers by
single digit-numbers (answers no
greater than 20).
Unit 14 Division
Calculation
4Nc24 Decide whether to round up
or down after division to give an
answer to a problem.
Not covered
Calculation
4Nc25 Understand that
multiplication and division are the
inverse function of each other.
Unit 15 The four operations
Calculation
4Nc26 Begin to understand simple
ideas of ratio and proportion, e.g.
a picture is one fifth the size of the
real dog. It is 25 cm long in the
picture, so it is 5 × 25 cm long in
real life.
Not covered
Shapes and geometric
reasoning
4Gs1 Identify, describe, visualise,
draw and make a wider range
of 2-D and 3-D shapes including
a range of quadrilaterals, the
heptagon and tetrahedron; use
pinboards to create a range of
polygons. Use spotty paper to
record results.
Unit 10 2-D and 3-D shapes
Shapes and geometric
reasoning
4Gs2 Classify polygons (including
a range of quadrilaterals) using
criteria such as the number of
right angles, whether or not they
are regular and their symmetrical
properties.
Not covered
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Examples
(Level, Unit, Page, Activity)
Notes
Note that pupils are not required to multiply
small numbers in Level 4. Larger numbers
covered in Unit 13.
L4B, U14, p16, ex1; L4B, U14, p18, ex1-2
L4B, U15, p26, ex1-4
Ratio and proportion are covered in Levels 5
and 6.
L4A, U10, p86, ex1-2; L4A, U10, p88, ex1; L4A,
U10, p90, ex1-2; L4A, U10, p92, ex1-2; L4A, U10,
p94, ex1-2
Spotty paper is not used for recording results.
6
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
National
Curriculum Topic
National Curriculum Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Activity)
Shapes and geometric
reasoning
4Gs3 Identify and sketch lines
of symmetry in 2-D shapes and
patterns.
Unit 11 Problem-solving and geometry
L4A, U11, p96, ex1-3
Shapes and geometric
reasoning
4Gs4 Visualise 3-D objects from
2-D nets and drawings and make
nets of common solids.
Unit 10 2-D and 3-D shapes
L4A, U10, p89, ex2
Shapes and geometric
reasoning
4Gs5 Find examples of shapes and
symmetry in the environment and
in art.
Not covered
Position and movement
4Gp1 Describe and identify the
position of a square on a grid of
squares where rows and columns
are numbered and/or lettered.
Not covered
Position and movement
4Gp2 Know that angles are
measured in degrees and that one
whole turn is 360° or four right
angles; compare and order angles
less than 180°.
Unit 9 Lines and angles
L4A, U9, p78-79, lesson overview and ex1-4
Position and movement
4Gp3 Devise the directions to give
to follow a given path.
Unit 9 Lines and angles
L4A, U9, p84, Try this
Length, mass and capacity
4Ml1 Choose and use standard
metric units and their abbreviations
(km, m, cm, mm, kg, g, l and ml)
when estimating, measuring
and recording length, weight and
capacity.
Unit 21 Standard units of measure
Unit 22 Measures problems
Units 21 and 22, complete units
Length, mass and capacity
4Ml2 Know and use the
relationships between familiar
units of length, mass and capacity;
know the meaning of ‘kilo’, ‘centi’
and ‘milli'.
Unit 21 Standard units of measure
Unit 22 Measures problems
Units 21 and 22, complete units
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Notes
7
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
Macmillan Mathematics Level 4 A&B
National
Curriculum Topic
National Curriculum Objective
Length, mass and capacity
4Ml3 Where appropriate, use
decimal notation to record
measurements, e.g. 1.3 m, 0.6 kg,
1.2 l.
Unit 22 Measures problems
L4B, U22, p86, ex1-2; L4B, U22, p88, ex1-4; L4B,
U22, p90, ex1-3
Length, mass and capacity
4Ml4 Interpret intervals/divisions
on partially numbered scales and
record readings accurately.
Unit 21 Standard units of measure
L4B, U21, p82, ex1-2
Time
4Mt1 Read and tell the time to
nearest minute on 12-hour digital
and analogue clocks.
Unit 21 Standard units of measure
L4B, U21, p84, ex1-3
Time
4Mt2 Use am, pm and 12-hour
digital clock notation.
Unit 21 Standard units of measure
L4B, U21, p84, ex1-3
Time
4Mt3 Read simple timetables and
use a calendar.
Not covered
Time
4Mt4 Choose units of time to
measure time intervals.
Not covered
Area and perimeter
4Ma1 Draw rectangles, and
measure and calculate their
perimeters.
Unit 22 Measures problems
L4B, U22, p92, ex1-3
Area and perimeter
4Ma2 Understand that area is
measured in square units, e.g.
cm2.
Unit 22 Measures problems
L4B, U22, p92, ex1-3
Area and perimeter
4Ma3 Find the area of rectilinear
shapes drawn on a square grid by
counting squares.
Not covered
Pupils should be taught to:
Macmillan Mathematics Unit
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Examples
(Level, Unit, Page, Activity)
Notes
This objective is covered in Level 5 (timetables)
and Level 3 (calendars).
Note that pupils are not required to draw their
own rectangles.
8
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
National
Curriculum Topic
National Curriculum Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Activity)
Organising, categorising
and representing data
4Dh1 Answer a question by
identifying what data to collect,
organising, presenting and
interpreting data in tables,
diagrams, tally charts, frequency
tables, pictograms (symbol
representing 2, 5, 10 or 20 units)
and bar charts (intervals labelled in
twos, fives, tens or twenties).
Unit 23 Handling data and probability
Organising, categorising
and representing data
4Dh2 Compare the impact of
representations where scales have
different intervals.
Not covered
Organising, categorising
and representing data
4Dh3 Use Venn diagrams or Carroll
diagrams to sort data and objects
using two or three criteria.
Unit 3 Multiples and factors
L4A, U3, p25, ex3; L4A, U3, p27, ex3
Using techniques and skills
in solving mathematical
problems
4Pt1 Choose appropriate mental
or written strategies to carry out
calculations involving addition or
subtraction.
Unit 5 Addition and subtraction: revision
Unit 6 Addition and subtraction
L4A, U5, p48-49, ex1-10; L4A, U6, p58-59, ex1-2
Using techniques and skills
in solving mathematical
problems
4Pt2 Understand everyday systems
of measurement in length, weight,
capacity and time and use these
to solve simple problems as
appropriate.
Unit 21 Standard units of measure
Unit 22 Measures problems
[length] L4B, U22, p86-87, ex1-3
[weight] L4B, U22, p90-91, ex1-4
[capacity] L4B, U21, p82-83, ex4
[time] L4B, U21, p84-85, ex1-3
Using techniques and skills
in solving mathematical
problems
4Pt3 Check the results of adding
numbers by adding them in a
different order or by subtracting
one number from the total.
Unit 5 Mental and written calculation
L4A, U5, p40, ex1-2
Using techniques and skills
in solving mathematical
problems
4Pt4 Check subtraction by adding
the answer to the smaller number
in the original calculation.
Not covered
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Notes
Full unit
Pupils work with different intervals on graphs,
but direct comparison is not covered.
Note that Carrol diagrams are not covered.
9
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
National
Curriculum Topic
National Curriculum Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Activity)
Using techniques and skills
in solving mathematical
problems
4Pt5 Check multiplication using
a different technique, e.g. check
6 × 8 = 48 by doing 6 × 4 and
doubling.
Unit 13 Multiplication
L4B, U13, p8, ex1-2
Using techniques and skills
in solving mathematical
problems
4Pt6 Check the result of a division
using multiplication, e.g. multiply 4
by 12 to check 48 ÷ 4.
Unit 15 The four operations
L4B, U15,p26, ex1-4
Using techniques and skills
in solving mathematical
problems
4Pt7 Recognise the relationships
between 2-D shapes and identify
the differences and similarities
between 3-D shapes.
Unit 10 2-D and 3-D shapes
L4A, U10, p88-89, ex1-2
Using techniques and skills
in solving mathematical
problems
4Pt8 Estimate and approximate
when calculating, and check
working.
Unit 21 Standard units of measure
L4B, U21, p78-79, ex1-3
Using understanding
and strategies in solving
problems
4Ps1 Make up a number story for a
calculation, including in the context
of measures.
Not covered
Using understanding
and strategies in solving
problems
4Ps2 Explain reasons for a choice
of strategy when multiplying or
dividing.
Not covered
Using understanding
and strategies in solving
problems
4Ps3 Choose strategies to find
answers to addition or subtraction
problems; explain and show
working.
Unit 6 Adding and subtracting decimals
L4A, U6, p58, ex1-2
Using understanding
and strategies in solving
problems
4Ps4 Explore and solve number
problems and puzzles, e.g. logic
problems.
All units
Unit 6 Adding and subtracting decimals
Unit 7 Adding and subtracting money
Unit 14 Division
Unit 15 The four operations
Unit 21 Standard units of measure
All units, Try this features; L4A, U81, ex4, p58,
ex1-2; L4A, U7, p68, ex1-2; L4B, U14, p22, ex1;
L4B, U15, p32, ex1-5; L4B, U81, ex4
Using understanding
and strategies in solving
problems
4Ps5 Use ordered lists and
tables to help to solve problems
systematically.
Unit 23 Handling data and probability
L4B, U23, p96-97, ex1-2; L4B, U23, p98-99,
ex1-2; L4B, U23, p100-101, ex1-4
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Notes
Note that pupils are not required to choose
strategy or justify it.
10
LEVEL
4
Cambridge Primary mapping
Cambridge Primary Stage 4
National
Curriculum Topic
National Curriculum Objective
Pupils should be taught to:
Macmillan Mathematics Level 4 A&B
Macmillan Mathematics Unit
Examples
(Level, Unit, Page, Activity)
Using understanding
and strategies in solving
problems
4Ps6 Describe and continue
number sequences, e.g. 7, 4, 1,
–2 … identifying the relationship
between each number.
Unit 2 Number patterns
L4A, U2, p28, ex1-2
Using understanding
and strategies in solving
problems
4Ps7 Identify simple relationships
between shapes, e.g. these
polygons are all regular because …
Unit 10 2-D and 3-D shapes
L4A, U10, p90-91, ex1-2
Using understanding
and strategies in solving
problems
4Ps8 Investigate a simple general
statement by finding examples
which do or do not satisfy it.
Not covered
Using understanding
and strategies in solving
problems
4Ps9 Explain methods and
reasoning orally and in writing;
make hypotheses and test them
out.
Not covered
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Notes
Note that pupils are not required to explain
methods orally.
11