# 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