# Mathematics

### Curriculum Overview

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

### Prep I

##### 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

##### 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
• 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
• Handling Data
• Organise and interpret data in Venn/Carroll diagrams

### Prep III

##### 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
• 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

##### 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  