Mathematics

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 (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 (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 (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