Welcome to Maths

Count to and across 100 from any given number.  
 
Count in multiples of 2,5 and 10.  
 
Identify one more and one less within 100.  
 
Read, represent, compare and order numbers up to 100. 
 
Read and write numbers to 20 in numerals and words.  
 
Recognise place value and represent 2-digit numbers.  

Read, write and interpret mathematical statements involving addition, subtraction and equal signs.  
 
Represent, use, memorise and reason with number bonds and related subtraction facts within 20.  
 
Solve one step problems that involve addition and subtraction.  
 
Solve missing number equations.  

Add and subtraction within 100.  

Compare, describe and solve practical problems for length, heigh, mass/weight and capacity. 
 
Measure and begin to record length, height, mass/weight, capacity and volume. 
 
Recognise and know the value and different coins and notes. 
 
Addition and subtraction with money.  
 
To calculate change and to exchange money for items.  
 
Sequence events in chronological order using language e.g before, tomorrow, morning.  
 
Recognise and use language relates to dates, days of the week, weeks, months and year.  
 
Tell and draw the time to the hour and half past.  

Recognise and name 2D and 3D shapes.  

Properties of 2D and 3D shapes e.g vertices, edges and faces. 

Sort and compare shapes.  

Describe, complete and create patterns using shapes.

Describe position, direction and movement including whole, half, quarter, and three-quarter turns. 

Use positional language such as left, right, above, between, in front of. 

Interpret and construct simple pictograms, tally charts, block diagrams and simple tables. 

Answer simple questions by counting and sorting objects in categories. 

Counting and sorting objects

Count in multiples of 2,3, 5 and 10 forward and backwards. 

Recognise odd and even numbers. 

Recognise the multiplication and division symbol and solve problems using concrete objects, pictorial and arrays.  

Measure length (m/cm); mass (kg/g) and volume/capacity (l/ml). 
 
Compare, order and record the results using >< and =.  

Recognise pence and pounds and combine amount to make a value.  
 
Find different combinations of coins that equal the same amount of money. 
 
Solve simple addition and subtraction problems including change.  
  
Compare and sequence intervals of time.  
 
Tell, write and draw the time to 5 minutes, quarter past and to, o’clock and half past.  
 
Understand there are 60 minutes in an hour and 24 hours in a day.  
 
Solve time worded problems.

Identify and describe 2D and 3D shapes.  
 
Know the properties of 2D and 3D shapes e.g vertices, edges and faces. 
 
Identify 2D shapes on the surface of 3D shapes. 
 
Sort and compare shapes. 
 
Identify right angles in shapes. 
 
Recognise lines of symmetry within 2-D shapes.  
 
Describe and create 2-D shape patterns. 

Describe position, direction and movement including movement in a straight line and rotation (clockwise and anticlockwise ½ and ¾ turns).  
 
Give direction from point A to point B and follow a route around a map.  

Add and subtract numbers mentally, including: 

• A three-digit number with 1s 
• A three-digit number with 10s 
• A three-digit number with 100s  

Add and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtraction 
 
Estimate the answer before solving a calculation and use inverse operations to check answers 
 
Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction using number facts, place value, and more complex addition and subtraction 

Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables 

Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods 

Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects 

Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) 

Learn to use and read a ruler 

Measure the perimeter of simple 2-D shapes 

Add and subtract amounts of money to give change, using both £ and p in practical contexts 

Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks 

Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight 

Know the number of seconds in a minute and the number of days in each month, year and leap year 

Compare durations of events (for example, to calculate the time taken by particular events or tasks)

Make 2-D and 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them 

Recognise angles as a property of shape or a description of a turn 

Identify right angles, recognise that 2 right angles make a half-turn, 3 make three-quarters of a turn and 4 a complete turn; identify whether angles are greater than or less than a right angle 

Identify horizontal and vertical lines and pairs of perpendicular and parallel lines 

Interpret and present data using bar charts, pictograms and tables 

Solve one-step and two-step questions (for example ‘How many more?’ and ‘How many fewer?’) using information presented in scaled bar charts and pictograms and tables 

Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate 

Estimate and use inverse operations to check answers to a calculation 

Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why 

Recall multiplication and division facts for multiplication tables up to 12 × 12  

Use place value, known and derived facts (5x 4 =20 so 6 x 4 = 24)  to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers ( 3 x 4 x 2) 

Recognise and use factor pairs (3 & 5 for 15) and commutativity (2 x 3 = 6, 3 x 2 = 6) in mental calculations 

Multiply two-digit and three-digit numbers by a one-digit number using formal written layout 

Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects 

Recognise and show, using diagrams, families of common equivalent fractions 

Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10 

Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number 
add and subtract fractions with the same denominator 

Recognise and write decimal equivalents of any number of tenths or hundreds 
recognise and write decimal equivalents to 1/4 , 1/2 , 3/4 

Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths 

Round decimals with 1 decimal place to the nearest whole number 

Compare numbers with the same number of decimal places up to 2 decimal places 

Solve simple measure and money problems involving fractions and decimals to 2 decimal places 

Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes 
 
Identify acute and obtuse angles and compare and order angles up to 2 right angles by size 
 
Identify lines of symmetry in 2-D shapes presented in different orientations 
 
Complete a simple symmetric figure with respect to a specific line of symmetry 

Describe positions on a 2-D grid as coordinates in the first quadrant 
 
Describe movements between positions as translations of a given unit to the left/right and up/down 
 
Plot specified points and draw sides to complete a given polygon 

Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs 

Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables, and other graphs 

Add and subtract whole numbers with more than 4 digits, including using formal written methods  

Add and subtract numbers mentally with increasingly large numbers 

Use rounding to check answers to calculations and determine if the answer is accurate. 

Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why 

Identify 3-D shapes, including cubes and other cuboids, from 2-D representation 
 
Know angles are measured in degrees: estimate and compare acute, obtuse, and reflex angles 
 
Draw given angles, and measure them in degrees using a protractor (°) 
 
Identify: 

1. angles at a point and 1 whole turn (total 360°) 
2. angles at a point on a straight line and half a turn (total 180°) 
3. multiples of 90° 
4. missing angles 

Use the properties of rectangles to deduce related facts and find missing lengths and angles 
 
Distinguish between regular and irregular polygons based on reasoning about equal sides and angles 

Identify, describe, and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed 

Solve comparison, sum and difference problems using information presented in a line graph 

Complete, read and interpret information in tables, including timetables 

Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit 

Round any whole number to a required degree of accuracy 

Use negative numbers in context, and calculate intervals across 0 

Solve number and practical problems  

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination 
 
Compare and order fractions, including fractions >1 
 
Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions 
 
Multiply simple pairs of proper fractions, writing the answer in its simplest form 
 (1/4  ×  1/2 = 1/8 )
 
Divide proper fractions by whole numbers  
(1/3  ÷ 2 = 1/6 ) 
 
Associate a fraction with division and calculate decimal fraction equivalents (for example, 0.375) for a simple fraction (for example, 3/8 )
 
Identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places 
 
Multiply one-digit numbers with up to 2 decimal places by whole numbers 

Use written division methods in cases where the answer has up to 2 decimal places 
 
Solve problems which require answers to be rounded to specified degrees of accuracy 
 
Recall and use equivalences (0.1 = 10% = 1/10 ) between simple fractions, decimals and percentages, including in different contexts 

Draw 2-D shapes using given dimensions and angles 
 
Recognise, describe and build simple 3-D shapes, including making nets 
 
Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons 
 
Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius 
 
Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles 

Describe positions on the full coordinate grid (all 4 quadrants) 

Draw and translate simple shapes on the coordinate plane, and reflect them in the axes