Academic

Mathematics

Curriculum Overview

We set out below an overview of the Mathematics curriculum broken down by year groups.

Prep I

Prep I (Year 3)
Michaelmas term
  • Number
  • Know by heart all addition and subtraction facts for each number to 20
  • Count on or back in hundreds from any two- or three-digit number
  • Add a 1-digit number to a 2- or 3-digit number, bridging a multiple of 10
  • Subtract a 1-digit number from a 2- or 3-digit number
  • Learn multiplication facts up to 10 x 10
  • Derive doubles of numbers to 20, multiples of 5 and 50, and corresponding halves
  • Recognise unit fractions such as ½, ?, ¼ and use them to find fractions of shapes and numbers
  • Add and subtract a 2-digit number to and from a 2- or 3-digit number
  • Read, write and order numbers to at least 1000; know what each digit represents
  • Measures, Shape and Space
  • Measure and compare lengths in metres and centimetres
  • Classify and describe 2D shapes
  • Identify lines of symmetry in simple shapes
  • Read the time to 5 minutes on analogue clocks
  • Handling Data
  • Organise and interpret data in simple lists and tally charts
  • Organise and interpret data in pictograms
Lent term
  • Number
  • Add and subtract mentally a ‘near multiple of 10’ to or from a two-digit number
  • Recognise odd and even numbers up to at least 50
  • Learn multiplication facts up to 10 x 10
  • Understand division and recognise that division is the inverse of multiplication
  • Use informal written methods to record addition and subtraction for 2- and 3-digit numbers
  • Measures, Shape and Space
  • Measure and compare capacities in litres and millilitres
  • Classify and describe common 3D shapes
  • Use units of time: days, hours, minutes, seconds
  • Handling Data
  • Organise and interpret data in frequency tables
  • Organise and interpret data in bar charts
Summer term
  • Number
  • Choose and use appropriate operations (including multiplication and division) to solve word problems, explaining methods and reasoning
  • Understand and use £.p notation; solve ‘real-life’ problems involving money
  • Know by heart multiplication facts up to 10 x 10
  • Multiply by 10 and 100
  • Begin to recognise simple equivalent fractions
  • Recognise odd and even numbers to 100
  • Understand division as grouping
  • Measures, Shape and Space
  • Measure and compare weights in kilograms and grams
  • Identify right angles
  • Recognise and use the four compass directions N, S, E, W
  • Use units of time: years, months, weeks, days, hours
  • Handling Data
  • Solve a given problem by organising and interpreting numerical data in simple lists, tables and graphs
  • Classify and sort data in Venn and Carroll diagrams

Prep II

Prep II (Year 4)
Michaelmas term
  • Number
  • Read and write whole numbers to 10 000
  • Add and subtract number pairs to 1000
  • Add several multiples of 10 or 100
  • Recall multiplication facts up to 10 x 10, derive corresponding division facts
  • Find remainders after division
  • Recognise simple fractions that are several parts of a whole, and mixed numbers; recognise the equivalence of simple fractions
  • Measures, Shape and Space
  • Use standard metric units of length: mm, cm, m, km
  • Understand and measure area
  • Classify polygons
  • Tell time on analogue and 24hr clock to nearest minute, use am/pm
  • Handling Data
  • Use and interpret tally charts
  • Construct and interpret pictograms where symbol represents several units
Lent term
  • Number
  • Use symbols correctly, including less than (<), greater than (>), equals (=)
  • Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers
  • Add HTU using formal/informal written methods
  • Subtract 2- and 3-digit numbers
  • Recognise negative numbers in context
  • Derive and identify doubles/halves up to 50
  • Compare and order fractions
  • Measures, Shape and Space
  • Rehearse names/nets of 3D shapes
  • Read simple timetables
  • Measure perimeter; know difference between area/perimeter
  • Handling Data
  • Construct and interpret bar graphs
Summer term
  • Number
  • Choose and use appropriate number operations and ways of calculating (mental, mental with jottings, pencil and paper) to solve problems
  • Round any positive integer less than 1000 to the nearest 10 or 100, round money to £
  • Carry out column addition and subtraction of two integers less than 1000, and column addition of more than two such integers
  • Use partitioning and informal methods to multiply TU by U
  • Divide TU using standard written methods, understand division as repeated subtraction
  • Relate fractions to division
  • Recognise decimal notation, know equivalence between fraction and decimal forms for ½ s and ¼ s
  • Measures, Shape and Space
  • Understand and use standard units of weight, read scales
  • Locate position on a grid using coordinates
  • Use 8-point compass
  • Know angles are measured in degrees; know relationship between degrees and right angles
  • Read calendars
  • Handling Data
  • Organise and interpret data in Venn/Carroll diagrams

Prep III

Prep III (Year 5)
Michaelmas term
  • Number
  • Read and write whole numbers in figures and words, and know what each digit represents
  • Derive doubles of multiples of 100-10 000
  • Use fraction notation and change improper fractions to mixed numbers
  • Order fractions and position them on a number line
  • Find differences on through the next multiple of 10, 100 or 1000
  • Construct number sequences; recognise and explain patterns
  • Measures, Shape and Space
  • Recognise perpendicular and parallel lines, and properties of rectangles
  • Classify triangles
  • Recognise reflective symmetry and the axis of symmetry
  • Use, read and write standard metric units of length and weight
  • Handling Data
  • Organise and interpret data in bar line graphs; find the mode
Lent term
  • Number
  • Multiply and divide any positive integer up to 10 000 by 10 or 100
  • Relate fractions to division
  • Use decimal notation for tenths and hundredths
  • Mentally add or subtract a pair of decimal numbers
  • Multiply HTU by U using standard written methods
  • Multiply TU by TU using standard written methods
  • Recognise multiples and begin to understand common multiples
  • Develop calculator skills and use a calculator effectively
  • Measures, Shape and Space
  • Understand, measure and calculate perimeters of rectangles
  • Understand area measured in square centimetres; understand and use the formula in words ‘length ? breadth’ for the area of a rectangle
  • Read and plot coordinates in the first quadrant
  • Use, read and interpret 24-hour digital clock times
Summer term
  • Number
  • Use all four operations to solve simple word problems involving numbers and quantities, including time, explaining methods and reasoning
  • Order a given set of positive and negative numbers
  • Recognise equivalence between fractions and decimals
  • Round a number with one or two decimal places to the nearest integer
  • Carry out column addition and subtraction of positive integers less than 10 000
  • Add and subtract two 2-place decimals using standard written methods
  • Divide HTU by U using standard written methods
  • Measures, Shape and Space
  • Estimate, measure and draw angles in degrees
  • Identify, estimate and order acute, obtuse and reflex angles
  • Handling Data
  • Classify events based on degrees of likelihood
  • Draw and interpret a line graph

Prep IV

Prep IV (Year 6)
Michaelmas term
  • Number
  • Multiply and divide integers and decimals by 10, 100 or 1000
  • Multiply HTU by TU
  • Order a mixed set of numbers with up to three decimal places
  • Carry out column addition and subtraction of numbers involving decimals
  • Carry out short multiplication and division of numbers involving decimals
  • Reduce a fraction to its simplest form by cancelling common factors
  • Use a fraction as an operator to find fractions of numbers or quantities
  • Find simple percentages of whole-number quantities; express simple fractions as percentages
  • Develop calculator skills
  • Measures, Shape and Space
  • Calculate the perimeter and area of simple compound shapes that can be split into rectangles
  • Calculate the area of a right-angled triangle
  • Find the surface area and volume of shapes
  • Recognise rotational symmetry
  • Use, read and write standard metric units; convert smaller to larger units and vice versa
  • Handling Data
  • Calculate the range, mode, median and mean of a set of data
  • Solve a problem by extracting and interpreting data in tables, graphs and charts
Lent term
  • Number
  • Identify and use the appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning
  • Continue to develop calculator skills
  • Divide HTU by TU using standard written methods
  • Solve problems involving speed, distance and time
  • Measures, Shape and Space
  • Use a protractor to measure and draw acute, obtuse and reflex angles to the nearest degree
  • Construct triangles using a ruler, protractor and compass
  • Draw diagrams to scale
  • Handling Data
  • Draw and interpret bar charts where discrete data is grouped
  • Construct and interpret conversion graphs
Summer term
  • Number
  • Apply mathematical knowledge and skills in higher level problem solving activities and investigations
  • Understand the concept of proportion
  • Relate ratio to proportion; solve simple problems involving ratio and proportion
  • Use letters or symbols to represent unknowns and to recognise algebraic conventions
  • Express final solutions to problems as a simple formula
  • Measures, Shape and Space
  • Read and plot coordinates in all four quadrants
  • Measure bearings
  • Calculate different times around the world
  • Handling Data
  • Use the probability scale and determine the outcome of problems based on experimental results
  • Carry out surveys to collect data
  • Construct and interpret a pie chart