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Maths

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What your child will learn at school during each Key Stage:

Key Stage 1

Year 1

Counting

  • Counting up to 20 objects and beyond
  • Counting forwards and backwards from 0 to 20, and then beyond
  • Reading and writing numbers from 0 to 20, and beyond
  • Counting on and back in twos, fives and tens
  • Using a number line to put numbers in the correct order
  • Recognising patterns in numbers
  • Recognising odd and even numbers
  • Estimating amounts of objects and then counting to check

Calculating

  • Learning simple addition and subtraction
  • Recognising mathematical words and symbols
  • Using money – paying and giving change
  • Learning which pairs of numbers add up to 10 (number bonds)
  • Doubling and halving
  • Sharing objects out into groups

Time

  • Telling the time to the hour and half hour
  • Putting the days of the week and months of the year in order

Shapes

  • Recognising, naming and describing common 2D and 3D shapes
  • Using shapes to make patterns, models and pictures
  • Using ICT to record and change shapes

Handling data

  • Using a diagram to sort objects into groups
  • Collecting information and recording it using tables or pictures

Measuring

  • Measuring, weighing and comparing different objects
  • Using different instruments for measuring, such as scales, jugs or metre sticks
  • Recording their results using pictures and numbers

 

Year 2

Counting and calculating

  • Counting up to 100
  • Putting the numbers one to 100 in the correct order
  • Recognising sequences and patterns
  • Adding and subtracting one- and two-digit numbers
  • Doing simple mental maths
  • Learning doubles and halves of numbers to ten
  • Starting to use simple division and multiplication
  • Adding and subtracting using money

Number facts

  • Reading and writing two- and three-digit numbers
  • Partitioning numbers into tens and ones
  • Recognising the symbols < and >
  • Identifying odd and even numbers
  • Finding pairs of numbers that add up to ten and then 20 (number bonds)
  • Learning the two, five and ten times tables

Shape

  • Sorting and making shapes
  • Describing shapes
  • Finding lines of symmetry
  • Identifying edges, faces and vertices
  • Finding half, quarter and three quarters
  • Beginning to understand angles
  • Describing position and movement using mathematical language

Handling data and measuring

  • Sorting information on a diagram
  • Drawing block graphs and pictograms
  • Measuring and weighing objects
  • Reading and understanding scales
  • Understanding analogue and digital clocks
  • Telling the time to the quarter hour
  • Putting events in the correct order

 

Key Stage 2

Year 3

Counting, partitioning and calculating

  • Mentally adding one- and two-digit numbers
  • Adding two- and three-digit numbers on paper
  • Reading, writing, ordering and partitioning two- and three-digit numbers
  • Rounding two- and three-digit numbers to the nearest 10 or 100
  • Solving one- or two-step problems dealing with numbers, money or measuring
  • Multiplying by 10 and 100
  • Checking calculations by doing the opposite sum (for example, subtracting to check an addition)
  • Reading and writing fractions

Understanding shape

  • Recognising, using and drawing right angles
  • Comparing and drawing angles
  • Using symmetry to draw and complete shapes
  • Understanding direction, using the four points of the compass

Number facts

  • Memorising number pairs that total 100
  • Learning times tables: two, three, four, five, six and 10
  • Recognising multiples of two, five and 10 up to 1000

Measuring

  • Understanding the relationship between units of measurement (for example, centimetres to metres)
  • Reading scales accurately
  • Telling the time on a 12-hour digital clock, and to the nearest five minutes on an analogue clock
  • Calculating time intervals

Data handling

  • Sorting information using diagrams, lists and tables
  • Presenting results using tables and charts
  • Using ICT to produce a simple bar chart
  • Sorting objects using a Venn diagram

 

Year 4

Counting, partitioning and calculating

  • Mentally adding and subtracting one- and two-digit numbers
  • Adding and subtracting two- and three-digit numbers using the written method
  • Working through one- or two-step problems using money, time or measures
  • Ordering, partitioning and rounding four-digit numbers
  • Revising times tables up to ten
  • Calculating doubles and halves
  • Working with positive and negative numbers
  • Using decimals to represent tenths and hundredths
  • Learning about fractions and mixed numbers
  • Working with remainders
  • Using a calculator

Shape

  • Learning about patterns and properties of shapes
  • Understanding line symmetry
  • Finding fractions of shapes
  • Visualising 2D and 3D shapes
  • Making solid shapes
  • Understanding that angles are measured in degrees
  • Calculating the area and perimeter of rectangles
  • Plotting horizontal and vertical positions on a grid
  • Learning about compass points

Measuring

  • Estimating, measuring and recording measurements using decimals
  • Reading and recording results using partially numbered scales
  • Telling the time to the nearest minute
  • Measuring time intervals using a clock or timetable
  • Understanding am and pm and the 12-hour clock

Data handling

  • Collecting and interpreting information
  • Constructing and using tally charts, bar charts, pictograms and tables
  • Using diagrams and graphs to show results
  • Using ICT to present information and results

 

Year 5

Counting, partitioning and calculating

  • Solving one- and two-step word problems using time, measure or money
  • Using a calculator correctly
  • Ordering and partitioning whole numbers and decimals
  • Finding halves and doubles of decimals
  • Practising addition and subtraction of decimals and fractions
  • Multiplying and dividing in their heads and using different written techniques
  • Calculating factors and common multiples
  • Working with percentages
  • Counting backwards beyond zero (negative numbers)

Shape

  • Working out patterns, properties and relationships of shapes
  • Visualising 3D and 2D shapes
  • Describing properties of 3D and 2D shapes
  • Creating models of shapes
  • Finding two lines of symmetry
  • Drawing positions of shapes after reflection or translation
  • Drawing shapes with parallel and perpendicular lines
  • Finding the area and perimeter of polygons
  • Estimating, measuring and drawing acute and obtuse angles
  • Using a set square and protractor

Measuring

  • Estimating and measuring weight, length and capacity
  • Converting kilograms to grams, and metres to centimetres
  • Drawing and measuring lines to the nearest millimetre
  • Telling the time using an analogue clock and a digital 24-hour clock
  • Using a calendar or timetable to calculate time intervals

Date handling

  • Drawing tables and pictograms to show results
  • Describing probability
  • Finding the mode (average) of a series of events
  • Using ICT to present their results

 

Year 6

Counting, partitioning and calculating

  • Ordering, partitioning and rounding numbers to three decimal places
  • Looking at positive and negative integers
  • Solving problems involving time, money or measures
  • Explaining their methods, reasoning and results
  • Multiplying decimal numbers
  • Working with fractions and percentages
  • Simplifying and ordering fractions
  • Calculating square numbers
  • Using the correct mathematical symbols
  • Using a calculator correctly
  • Working with prime numbers smaller than 100

Shape

  • Classifying 2D shapes and 3D solids
  • Making and drawing shapes accurately
  • Identifying and describing parallel and perpendicular faces and edges
  • Using a protractor to measure and draw angles
  • Calculating the sum of angles in a triangle
  • Learning about the rotation, translation and reflection of shapes
  • Calculating perimeter and area
  • Using co-ordinates to draw shapes
  • Understanding that 360 degrees is a complete turn

Measuring

  • Estimating and weighing or measuring accurately
  • Converting units of measurement, e.g. metres to centimetres
  • Interpreting measurements on a range of instruments
  • Comparing readings on different instruments

Data handling

  • Drawing and interpreting tables, bar charts and line graphs
  • Using ICT to present results
  • Interpreting pie charts
  • Understanding probability
  • Calculating the mean, median and mode averages

 

Key Stage 3

Years 7–9

Numbers

  • Decimal notation and place order
  • Comparing decimals
  • Rounding whole numbers and decimals
  • Positioning negative numbers on a number line
  • Understanding integers
  • Highest common factors
  • Lowest common multiples
  • The squares of numbers up to 12×12 and their roots
  • Simplifying fractions
  • Adding and subtracting fractions
  • Calculating percentages
  • Ratio and proportion
  • Calculations with brackets
  • Solving problems using mental maths and calculators

Algebra

  • Using letters to represent numbers
  • Simplifying equations
  • Solving simple equations
  • Number sequences
  • Input, output and mapping diagrams
  • Plotting graphs using co-ordinates

Geometry and measures

  • Recognising parallel and perpendicular lines
  • Calculating the sum of angles on a point, triangle and straight line
  • Using the correct geometrical terms
  • Geometrical problems using triangles and quadrilaterals
  • Reflections, rotations and translations of 2D shapes
  • Symmetry of a 2D shape
  • Finding co-ordinates of points
  • Using a ruler and protractor to draw accurate lines, angles and triangles, and construct 3D shapes
  • Estimating and calculating problems involving measuring
  • Converting metric units
  • Estimating the size of acute, obtuse and reflex angles
  • Learning the formula for calculating the area of a rectangle
  • Surface area of cubes and cuboids

Statistics

  • Collecting data from surveys and experiments
  • Designing questionnaires to collect data
  • Creating frequency tables
  • Calculating statistics
  • Finding the mode, median and mean
  • Creating and interpreting graphs, pie charts and diagrams showing data, on paper and using ICT
  • Writing a statistical report
  • Understanding probability terms such as likely, unlikely, impossible, probably
  • Estimating probability from a simple experiment
  • Comparing probabilities

 

Key Stage 4

Various topics are covered in years 10 and 11.    

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