Mathematics Overview

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Year 3

Michaelmas Term Know by heart all addition and subtraction facts for each number to 20
Add a 1-digit number to a 2- or 3-digit number, bridging a multiple of 10
Give a sensible estimate of up to about 100 objects Understand and use money notation
Use and continue number patterns
Subtract a 1-digit number from a 2- or 3-digit number
Begin to learn multiplication facts up to 10 x 10
Recognise simple unit fractions such as ½, ¼ and use them to find fractions of shapes
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
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
Organise and interpret data in simple lists and tally charts
Organise and interpret data in pictograms

Lent Term Add and subtract mentally a ‘near multiple of 10’ to or from a two-digit number
Continue to learn multiplication facts up to 10 x 10
Round any 2-digit numbers to the nearest ten
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
Measure and compare weight using grams and kilograms, using scales
Recognise and use the 4 compass directions
Begin to recognise simple equivalent fractions
Use units of time: days, hours, minutes, seconds
Organise and interpret data in frequency tables
Organise and interpret data in bar charts

Summer Term Choose and use appropriate operations (including multiplication and division) to solve word problems, explaining methods and reasoning
Compare and order 3-digit numbers up to 1000
Use known number facts and place value to add or subtract a multiple of 10 to and from a 2-digit
Use column addition and subtraction for HTU and TU
Continue number sequences of multiples of 2,5 or 10
Continue to know by heart multiplication facts up to 10 x 10
Multiply by 10 and 100
Begin to recognise simple equivalent fractions
Understand division as grouping
Measure and compare capacity in millitres and litres
Identify right angles
Use units of time: years, months, weeks, days, hours
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

Year 4

Michaelmas Term Read and write whole numbers to 10 000
Round positive numbers to the nearest 10 or 100
Add and subtract number pairs to 1000
Use addition and subtraction to solve money problems, using more than one step
Use formal vertical method for subtraction
Add several multiples of 10 or 100
Recall multiplication facts up to 10 x 10
Use formal method of multiplication
Use standard metric units of length: mm, cm, m, km
Understand and measure area and perimeter
Classify polygons

Lent Term Use formal method of division
Use multiplication facts to derive corresponding division facts mentally
Compare and order fractions and decimals
Use decimal notation for money
Rehearse names/nets of 3D shapes
Tell the time on analogue and 24hr clock to the nearest minute, use am and pm
Read simple timetables
Understand and use standard units of weight, read scales

Summer Term 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
Solve mathematical puzzles and problems
Use, read and write standard metric units of capacity
Know angles are measured in degrees; know relationship between degrees and right angles
Read calendars
Organise and interpret data in pictograms, tally charts, bar graphs and Venn/Carroll diagrams

Year 5

Michaelmas Term Read and write whole numbers in figures and words, and know what each digit represents
Derive doubles of multiples of 100-10 000
Extend written methods of column subtraction to numbers up to 10,000
Use formal written methods of multiplication to include 4 and 5-digit numbers
Add 2 digit numbers mentally, crossing the 100 boundary
Multiply 4 digit number by 10 and 100
Divide a 3-digit number by a single digit
Recognise factors of numbers up to 100
Use, read and write standard metric units of length
Organise and interpret data in bar line graphs; find the mode

Lent Term Multiply and divide any positive integer up to 10 000 by 10 or 100
Recognise equivalent fractions
Write and use mixed and improper fractions
Relate fractions to division
Use decimal notation for tenths and hundredths
Mentally add or subtract a pair of decimal numbers
Read and use timetables
Revise all the four operations
Use, read and interpret 24-hour digital clock times  

Summer Term
Use all four operations to solve simple word problems involving numbers and quantities, including time, explaining methods and reasoning
Understand, measure and calculate perimeter
Multiply numbers up to three digits
Use, read and write standard metric units of mass
Record readings from scales
Complete symmetrical patterns
Recognise reflective symmetry
Draw rectangles, triangles, hexagons, squares to given specifications

Year 6

Michaelmas Term Read and write whole numbers
Round whole numbers
Recognise prime numbers
Multiply and divide integers and decimals by 10, 100 or 1000
Multiply HTU by TU
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
Use, read and write standard metric units; convert smaller to larger units and vice versa 

Lent Term Identify and use the appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning
Divide HTU by TU using standard written methods
Solve problems involving speed, distance and time
Multiply large numbers
Convert fractions to decimals
Use a protractor to measure and draw acute, obtuse and reflex angles to the nearest degree
Classify and describe shapes in detail
Create nets for a variety of shapes Rotate and reflect shapes in a pattern
Calculate area and perimeter
Draw and interpret bar charts and pie charts where discrete data is grouped
Construct and interpret conversion graphs

Summer Term Continue to read, write and use large numbers
Use negative numbers in calculations
Use and recognise triangular and square numbers
Convert, multiply, compare fractions and decimals
Use simple percentages in calculations
Apply mathematical knowledge and skills in higher level problem solving activities and investigations
Use letters or symbols to represent unknowns and to recognise algebraic conventions
Use rotational symmetry, translation of shapes, four-quadrant rotation and reflection
Express final solutions to problems as a simple formula