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Maths

Year Three

Number

Number and Place Value:
  • Read, write and use numbers up to 1000 in numerals and words;
  • Count in multiples of 4, 8, 50 and 100;
  • Understand the place value of each digit in a three-digit number and find 10 or 100 more/less than a number.
Addition and Subtraction
  • Add and subtract numbers mentally; including 3-digits;
  • Add and subtract numbers up to 3-digits using formal written methods;
  • Begin to estimate and check answers to calculations using a range of strategies;
  • Solve addition/subtraction problems; including the use of number facts.
Multiplication and Division
  • Use mental recall of multiplication/division facts for 3, 4, 8;
  • Begin to use formal written methods to calculate larger multiplications;
  • Solve multiplication/division problems; including simple scaling and correspondence problems.
Fractions (including decimals and percentages)
  • Understand and use unit and non-unit fractions of objects and numbers; including tenths;
  • Recognise equivalent fractions with small denominators;
  • Begin to compare and order fractions;
  • Begin to calculate simple addition and subtraction of fractions; within one whole.

Measurement, Geometry, and Statistics

Measurement
  • Use the appropriate units of length (m/cm/mm), mass (kg/g) and volume/capacity (l/ml) to measure, compare, add and subtract;
  • Understand how to measure the perimeter of simple 2-D shapes;
  • Solve practical problems for adding and subtracting amounts of money, using both £ and p to give change;
  • Understand how to tell and record the time; including for analogue, 12-hour, 24-hour and clocks with Roman numerals;
  • Use the terms o’clock, a.m./p.m., morning, afternoon, noon and midnight;
  • Know a range of equivalent units of time;
  • Use known facts to compare the duration of events.
Geometry - properties of shape
  • Accurately draw 2-D shapes;
  • Recognise 3-D shapes in different orientations;
  • Know that angles are a property of shapes and can be used to describe turns;
  • Accurately recognise right angles including a complete turn;
  • Begin to identify whether angles are greater or less than a right angle;
  • Begin to use the terms horizontal and vertical lines & perpendicular and parallel to describe pairs of lines.
Statistics
  • Use bar charts, pictograms and tables to present and interpret data;
  • Use information in scaled bar charts, pictograms and tables to solve one-step and two-step questions.

Year Four

Number

Number and Place Value
  • Read Roman numerals to 100 Count in multiples of 6, 7, 9, 25 and 1000;
  • Understand the place value of each digit in a four-digit number and find 1000 more/less than a given number;
  • Round numbers to nearest 10, 100 or 1000;
  • Begin to recognise negative numbers.
Addition and Subtraction
  • Add and subtract numbers mentally using known facts;
  • Add and subtract numbers up to 4-digits using formal written methods;
  • Routinely estimate and check answers to calculations using a range of strategies;
  • Solve two-step addition/ subtraction problems; choosing appropriate operations.
Multiplication and Division
  • Know and use mental recall of multiplication/ division facts up to 12x12 to derive facts;
  • Use factor pairs to support mental calculations;
  • Use formal written method to multiply;
  • Solve multiplication/addition problems, including applying the rules of arithmetic and two-step problems.
Fractions (including decimals and percentages)
  • Understand and use hundredths;
  • Begin to recognise decimal and fraction equivalents;
  • Calculate simple addition and subtraction of fractions beyond one whole;
  • Divide by 10/100 and understand the value of the resulting decimal numbers;
  • Solve fraction and decimal problems in context, including rounding and comparing up to two decimal places.

Measurement, Geometry, and Statistics

Measurement
  • Know how to convert units of measure (e.g. km to m, hour to minutes);
  • Know how to measure and calculate the perimeter of rectilinear figures (cm/m);
  • Use counting to find the area of rectilinear shapes;
  • Solve problems using a different range of measures, including money;
  • Use the units of time to convert between analogue and digital clocks;
  • Solve problems using conversion between units of time.
Geometry - properties of shape
  • Use the properties of shape to compare and classify geometric shapes;
  • Understand and use the terms acute and obtuse to identify angles;
  • Make observations to order angles up to two right angles by size;
  • Recognise lines of symmetry in 2-D shapes presented in different orientations.
Geometry - position and direction
  • Know how to use coordinates to describe position in the first quadrant and plot specified points;
  • Use knowledge of coordinates and shape to complete a given polygon;
  • Use translation horizontally and vertically to describe movement.
Statistics
  • Use bar charts and time graphs to present discrete/continuous data;
  • Use bar charts, pictograms, tables and other graphs to solve comparison, sum and difference problems.

Year Five

Number

Number and Place Value
  • Read Roman numerals to 1000;
  • Read, write and use numbers to at least 1,000,000;
  • Count forwards/ backwards and round in powers of 10;
  • Begin to interpret negative numbers in context.
Addition and Subtraction
  • Accurately add and subtract mentally, and using formal written methods;
  • Routinely check answers to calculations, including by rounding;
  • Solve multi-step addition/subtraction problems; choosing appropriate operations.
Multiplication and Division
  • Use known facts to mentally multiply and divide;
  • Use formal long and short written methods for multiplication and division, including decimal numbers and interpret remainders;
  • Recognise and use prime numbers and prime factors;
  • Solve multiplication/division problems, including recognition and application of factors, multiples, squares, cubes.
Fractions (including decimals and percentages)
  • Recognise, compare and order fractions, including mixed numbers and improper fractions;
  • Calculate addition and subtraction of fractions, including different denominators;
  • Begin to multiply fractions;
  • Recognise, compare and round decimals up to 3 decimal places;
  • Begin to understand decimal numbers as fractions;
  • Solve problems involving simple percentage and decimal equivalents.

Measurement, Geometry, and Statistics

Measurement
  • Know how to convert units of metric measure (e.g. km to m, kg to g, l to ml);
  • Recognise approximate equivalences between metric units and common imperial units (e.g. inches, pints, pounds);
  • Know how to measure and calculate the perimeter of composite rectilinear shapes (cm/m);
  • Use estimating, calculating and comparing to find the area of rectangles (including squares) and estimate to find the area of irregular shapes;
  • Use practical resources to estimate volume and capacity;
  • When solving problems, convert between units of time;
  • When solving problems use all four operations to solve problems involving measures using decimal notation and scaling.
Geometry - properties of shape
  • Use the terms acute, obtuse, and reflex to estimate and compare angles;
  • Know how to identify 3-D shapes from 2-D representations;
  • Accurately draw and measure angles in degrees (°);
  • Know how to use the properties of rectangles to find missing lengths and angles;
  • Use knowledge of sides and angles to distinguish between regular and irregular polygons.
Geometry - position and direction
  • Know how to successfully reflect and translate shapes.
Statistics
  • Use line graphs to solve comparison, sum and difference problems;
  • Identify the necessary information in tables (including timetables) and be able to complete them.

Year Six

Number

Number and Place Value
  • Read, write and use numbers up to 10,000,000;
  • Round any whole number to differing degrees of accuracy;
  • Calculate intervals across zero when problem solving;
  • Use negative numbers in context and problem solving.
Addition and Subtraction/Multiplication and Division
  • Mentally calculate mixed operations;
  • Solve multi-step problems involving addition/subtraction;
  • Use efficient formal written methods for multiplication and division, and interpret remainders;
  • Solve problems involving all four operations and estimate to check answers;
  • Identify and use common factors and multiples;
  • Identify prime numbers.
Fractions (including decimals and percentages)
  • Simplify, compare and order a range of fractions;
  • Use equivalence to add and subtract fractions;
  • Multiply and divide proper fractions;
  • Understand the relationship of division and fractions;
  • Recognise and calculate numbers with three decimal places;
  • Use equivalences between simple fractions, decimals and percentages.
Ration and Proportion

When solving problems:

  • Apply multiplication and division facts to calculate proportionality in a range of contexts;
  • Accurately calculate and use percentages;
  • Understand scale factor.
Algebra
  • Use and generate simple formulae using symbols and letters;
  • Generate linear number sequences;
  • Find different possibilities for the variables within equations.

Measurement, Geometry, and Statistics

Measurement
  • When solving problems that require the calculation and conversion of units of measures, use decimal notation up to three decimal places;
  • Know how to convert between miles and km;
  • Investigate the relationship between area and perimeter, identifying examples where the same area can have the same perimeter and vice versa;
  • Use the formulae for area and volume of shapes;
  • Know how to calculate the area of parallelograms and triangles;
  • Be able to calculate, estimate and compare the volume of cubes and cuboids using standard units (cm³, m³).
Geometry - properties of shape
  • Use given dimensions and angles to draw 2-D shapes;
  • Construct 3-D shapes including making nets;
  • Know how to find unknown angles in triangles, quadrilaterals, and regular polygons;
  • Solve missing angle problems on straight lines;
  • Use the knowledge of shape properties to classify geometric shapes;
  • Know and use the parts of circles (radius, diameter and circumference).
Geometry - position and direction
  • Know how to use coordinates to describe position in all four quadrants and plot specified points;
  • Know how to draw and translate shapes on the coordinate plane;
  • Know how to reflect simple shapes in the axes of a coordinate plane.
Statistics
  • Know how to construct a pie chart and line graph;
  • Use pie charts and line graphs to solve problems;
  • Understand the term mean as an average and be able to calculate it.