# 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