The Mathematics Curriculum
at Hartford Junior School
Mathematics is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and
most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the
ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity
about the subject. At Hartford Junior School we will endeavour to ensure that all children develop a positive attitude to maths that
will stay with them not just through their education but throughout their life.
We aim to foster a sound understanding and enjoyment of all elements of mathematics, providing opportunities to develop skills
through challenging, engaging and practical mathematical experiences. Through structured learning, pupils are encouraged to
become fluent in the fundamentals of mathematics, with the ability to reason mathematically and apply skills and knowledge to
solve mathematical problems.
We will provide pupils with a rich mathematics curriculum taught through high quality teaching, to produce individuals who are
numerate, creative, independent, inquisitive, enquiring and confident.
The curriculum map shows the objectives that will be taught in each year group. The objectives will be revised and revisited
throughout the year to deepen the children’s understanding as they move through the topics. Even though the majority of children
in each year group will be working at age related expectations, some children will need to work below or above those expectations.
Year 3
Number, Place Value and Algebra
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count from 0 in multiples of 4, 8, 50 and 100;
find 10 or 100 more or less than a given number
secure place value up to 1000
order and compare numbers up to 100, use <, > and == signs
Addition and Subtraction
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mentally add and subtract ones, tens and hundreds to three-digit numbers
use column addition and subtraction for 3 digit numbers
estimate answers and use inverse operations to check answers
solve problems, including missing number problems, using number facts,
and value and more complex addition and subtraction
Multiplication and Division
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recall and use multiplication and division facts for the 3,4,6 and 8
multiplication tables
write and calculate mathematical statements for multiplication and division
using the multiplication tables that they know
solve problems and missing number problems
Fractions (including decimals and percentages)
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use and count in tenths
find fractions of a set of objects
find simple equivalent fractions
add and subtract fractions less than one whole
compare and order unit fractions with the same denominator
solve fraction problems
Measurement
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measure, compare and calculate metric measurements
measure the perimeter of simple 2D shapes
add and subtract amounts of money in context and give change
tell and write the time from an analogue clock
understand and use 12-hour and 24-hour clocks
calculate using time problems
compare duration of events
Geometry – properties of shapes
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draw 2D shapes and make 3D shapes
recognise and describe 3D shapes
recognise angles as a property of shape or a description of a turn
identify and use right angles
identify horizontal, vertical, perpendicular and parallel lines
Statistics
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interpret and present data using bar charts, pictograms and tables
Year 4
Number, Place Value and Algebra
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count in multiples of 6, 7, 9, 25 and 1000
find 1000 more or less than a given number
count backwards through zero to include negative numbers
secure place value up to 10000
order and compare numbers beyond 1000 using <, > and = signs
round numbers to the nearest 10, 100 or 1000
solve number and practical problems
read and write Roman numerals to 100 (I to C)
Addition and Subtraction
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use column method to add and subtract numbers with up to 4 digits
estimate and use inverse operations to check answers to a calculation
solve addition and subtraction two-step problems in contexts, deciding
which operations and methods to use and why
Multiplication and Division
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recall multiplication and division facts for multiplication tables up to 12 × 12
use place value, known and derived facts to multiply and divide mentally
recognise and use factor pairs and commutativity in mental calculations
multiply two-digit and three-digit numbers by a one-digit number using
written methods
solve problems involving multiplying and adding
Fractions (including decimals and percentages)
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recognise and show families of common equivalent fractions
count up and down in hundredths
solve problems to calculate quantities
add and subtract fractions with the same denominator
recognise and write decimal equivalents of any number of tenths or
hundredths
recognise and write decimal equivalents to ¼, ½, ¾
round decimals with one decimal place to the nearest whole number
compare numbers with the same number of decimal places up to two
decimal places
solve simple measure and money problems involving fractions and decimals
to two decimal places
Measurement
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convert between different units of measure
measure and calculate the perimeter of a rectilinear figure
find the area of rectilinear shapes by counting squares
estimate, compare and calculate different measures, including money in
pounds and pence
read, write and convert time between analogue and digital 12- and 24-hour
clocks
Geometry - properties of shapes
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compare and classify geometric shapes, including quadrilaterals and
triangles, based on their properties and sizes
identify, compare and order acute and obtuse angles
identify lines of symmetry in 2-D shapes
Geometry - position and direction
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use coordinates in the first quadrant
translate shapes
Statistics
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interpret and present data using bar charts , pictograms and line graphs
Year 5
Number, Place Value and Algebra
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secure place value to at least 1000000
use negative whole numbers
round to nearest 10, 100, 1000, 10000 and 100000
read Roman numerals to 1000 (M) and recognise written years
Addition and Subtraction
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use column method to add and subtract numbers with more than 4 digits
confidently add and subtract mentally
solve multi-step problems in context
Multiplication and Division
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identify and find multiples and factors of numbers
use the vocabulary of prime numbers and recall prime numbers up to 19
use standard written methods to multiple and divide
confidently multiply and divide mentally
multiply and divide by powers of 10
use square numbers and cube numbers
solve problems using knowledge of multiples, factors, square and cubes
Fractions (including decimals and percentages)
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identify, name and write equivalent fractions
convert between mixed numbers and improper fractions
add and subtract fractions with denominator that are multiples of each other
read and write decimal numbers as fractions
round decimals to nearest whole number and to one decimal place
read, write, order and calculate with decimals up to three decimal places
use percentages and link them to decimals and fractions
Measurement
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convert between different units of metric measurements
convert between metric and imperial measurements
measure and calculate perimeters
calculate areas of rectangles and irregular shapes
estimate volume and capacity
solve problems involving converting between different measurements of
time
solve problems involving measures
Geometry – properties of shapes
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identify 3D shapes from drawings
identify, measure and compare acute, obtuse and reflex angles
draw and measure angles
calculate angles
understand properties of regular polygons
Geometry – position and direction
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draw and describe translations and reflections of shapes
Statistics
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complete, read and interpret information in timetables
interpret data and answer questions using line graphs
Year 6
Number and Place Value
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secure place value up to 10000000
confidently round numbers
calculate using negative numbers
Addition, Subtraction, Multiplication and Division
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confidently use all written methods, including long division
use a variety of mental strategies suitable for calculations
identify common factors, common multiples and prime numbers
solve problems involving all four operations
Fractions (including decimal and percentages)
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simplify fractions
compare and order fraction including those greater than 1
add and subtract fractions with different denominators
multiply simple fractions
divide fractions by whole numbers
solve problems using equivalences between fractions, decimals and
percentages
Ratio and Proportion
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introduce the concept of ratio and proportion
Algebra
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use simple formulae
express missing number problems algebraically
Measurement
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solve problems and calculate that require conversion of
measurements
use, read, write and convert between standard units of measure
convert between miles and kilometres
calculate areas of parallelograms and triangles
use formula for exploring volume of cubes and cuboids
Geometry – properties of shape
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accurately draw 2D shapes
explore and make nets of 3D shape
use and understand circle vocabulary
understand and use angle rules
Geometry – position and direction
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describe positions on all 4 quadrants
draw, translate and reflect simple shapes on a full grid
Statistics
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interpret and construct pie charts
calculate the mean average