# Maths

## 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.
• 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.

## 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.
• 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.

## 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.
• 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.

## 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.