Foundation Stage
Developing a strong grounding in number is essential so that all children develop the necessary building blocks to excel mathematically. Children should be able to count confidently, develop a deep understanding of the numbers to 10, the relationships between them and the patterns within those numbers. By providing frequent and varied opportunities to build and apply this understanding – such as using manipulatives, including small pebbles and tens frames for organising counting – children will develop a secure base of knowledge and vocabulary from which mastery of mathematics is built. In addition, it is important that the curriculum includes rich opportunities for children to develop their spatial reasoning skills across all areas of mathematics including shape, space and
measures. It is important that children develop positive attitudes and interests in mathematics, look for patterns and relationships, spot connections, ‘have a go’, talk to adults and peers about what they notice and not be afraid to make mistakes.
ELGs (September 2021)
ELG: Number
Children at the expected level of development will:
- Have a deep understanding of number to 10, including the composition of each number;
- Subitise (recognise quantities without counting) up to 5;
- Automatically recall (without reference to rhymes, counting or other aids) number bonds up to 5 (including subtraction facts) and some number bonds to
- 10, including double facts.
- ELG: Numerical Patterns
Children at the expected level of development will:
- Verbally count beyond 20, recognising the pattern of the counting system;
- Compare quantities up to 10 in different contexts, recognising when one quantity is greater than, less than or the same as the other quantity;
- Explore and represent patterns within numbers up to 10, including evens and odds, double facts and how quantities can be distributed equally.
This is achieved through the use of Power Maths and focusing on a Key Instant Recall Fact (KIRF) per half term. Mastering Number resources are also being used from January 2022
| Autumn A | Autumn B | Spring A | Spring B | Summer A | Summer B | |
|---|---|---|---|---|---|---|
| EYFS |
Number Numbers to 5 Comparing groups within 5 Shape |
Number One more, one less Number bonds within 5 Space |
Number Numbers to 10 Comparing numbers within 10 Combining two groups to find the whole Measure |
Number Number bonds to 10 Subtraction* Shape |
Number Counting on and counting back Numbers to 20 Doubling Halving and sharing Odds and evens |
Shape Composing and decomposing shapes* Measure |
| KIRF | Say number names in order to 5 | Say the numbers in order to 10. | Partition numbers to 5 into two groups. | Count in tens. | Know the days of the week. | Count in 2s |
Key Stage 1
The principal focus of mathematics teaching in key stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting and place value. This should involve working with numerals, words and the four operations, including with practical resources [for example, concrete objects and measuring tools]. At this stage, pupils should develop their ability to recognise, describe, draw, compare and sort different shapes and use the related vocabulary. Teaching should also involve using a range of measures to describe and compare different quantities such as length, mass, capacity/volume, time and money. By the end of year 2, pupils should know the number bonds to 20 and be precise in using and understanding place value. An emphasis on practice at this early stage will aid fluency. Pupils should read and spell mathematical vocabulary, at a level consistent with their increasing word reading and spelling knowledge at key stage 1. National Curriculum
This is achieved through the use of Power Maths and focusing on a Key Instant Recall Fact (KIRF) per half term. Mastering Number resources are also being used from January 2022. Key Stage one pupils also access Numbots/Times Table Rockstars to support their fluency development.
| Autumn A | Autumn B | Spring A | Spring B | Summer A | Summer B | |
|---|---|---|---|---|---|---|
| Year 1 |
Place Value Recap numbers to 10 Recap one more, one less Comparison of number Number bonds within 10 Addition and Subtraction |
Addition and Subtraction Addition and subtraction within 10 (2) Shape Place Value |
Addition and Subtraction Addition and subtraction within 20 Place Value |
Measurement Comparing lengths and heights Non-standard units of measure Measuring length using a ruler Comparing and measuring weight Comparing and measuring capacity |
Multiplication and Division Counting in 10s, 5s and 2s. Making equal groups and simple arrays. Making doubles Fractions |
Position and Direction Describing turns and positions Place Value Measurement |
| KIRF | Recite number names in order to 50 and beyond. | Know number bonds for each number to 6. | Know doubles and halves of numbers to 10. | Know number bonds to 10. | Know seasons and months of the year. | Know number bonds for each number to 10. |
| Autumn A | Autumn B | Spring A | Spring B | Summer A | Summer B | |
|---|---|---|---|---|---|---|
| Year 2 |
Place Value
Addition and Subtraction |
Money
Multiplication and Division |
Multiplication and Division
Statistics Measurement |
Shape
Fractions |
Position and Direction
Place Value/Addition and Subtraction |
Measurement
Measurement |
| KIRF | Know number bonds to 20. | Know multiplication and division facts for the 2 times table. | Know halves and doubles of numbers to 20. | Know multiplication and division facts for the 10 times table. | Tell the time to five minutes and draw the hands on the clock to show these times. | Know multiplication and division facts for the 5 times table. |
Lower Key Stage 2
The principal focus of mathematics teaching in lower key stage 2 is to ensure that pupils become increasingly fluent with whole numbers and the four operations, including number facts and the concept of place value. This should ensure that pupils develop efficient written and mental methods and perform calculations accurately with increasingly large whole numbers. At this stage, pupils should develop their ability to solve a range of problems, including with simple fractions and decimal place value. Teaching should also ensure that pupils draw with increasing accuracy and develop mathematical reasoning so they can analyse shapes and their properties, and confidently describe the relationships between them. It should ensure that they can use measuring instruments with accuracy and make connections between measure and number. By the end of year 4, pupils should have memorised their multiplication tables up to and including the 12 multiplication table and show precision and fluency in their work. Pupils should read and spell mathematical vocabulary correctly and confidently, using their growing word reading knowledge and their knowledge of spelling. National Curriculum.
This is achieved through the use of Power Maths, focusing on a Key Instant Recall Fact (KIRF) per half term and using Times Table Rockstars to support fluency development.
| Autumn A | Autumn B | Spring A | Spring B | Summer A | Summer B | |
|---|---|---|---|---|---|---|
| Year 3 |
Place Value Counting, comparing and representing numbers to 1000. Addition and Subtraction |
Addition and Subtraction Adding and subtracting two 3-digit numbers. Problem solving. Multiplication and Division |
Multiplication and Division Related x and ÷ calculations. Multiplying a 2-digit number by a 1-digit number. Dividing a 2-digit number by a 1-digit number. Money Statistics |
Measurement Measuring and comparing lengths using mm, cm and m. Measuring perimeter. Fractions |
Fractions Equivalent fractions*. Adding and subtracting fractions with the same denominator. Measurement |
Shape Right angles, perpendicular and parallel lines. Recognising and describing properties of 2D and 3D shapes. Measurement |
| KIRF | Know number bonds for all numbers to 20. | Add and subtract using place value. | Recall facts about the duration of time. | Know x and ÷ facts for the 3, 4 and 8 x tables. | Convert between mm/cm, cm/m, kg/g. | Read and draw the time, to the nearest minute. |
| Autumn A | Autumn B | Spring A | Spring B | Summer A | Summer B | |
|---|---|---|---|---|---|---|
| Year 4 |
Place Value Representing numbers to 10,000. Ordering and comparing numbers to 10,000. Rounding to the nearest 10, 100 and 1000. Roman numerals. Introducing negative numbers. Addition and Subtraction |
Measurement Recapping km. Perimeter of a rectangle and rectilinear shapes. Multiplication and Division |
Multiplication and Division Using formal written methods. Multiplying and dividing 2-digit by 1-digit and 3-digit by 1-digit. Measurement Fractions |
Fractions Adding and subtracting fractions. Solving problems with fractions of a quantity. Decimals |
Decimals Order, compare and round decimals. Money Measurement |
Statistics Charts, tables and line graphs. Shape Position and Direction |
| KIRF | Add and subtract using place value. | Know number bonds to 100. | Recognise decimal equivalents of fractions. | Know x and ÷ facts for the 6, 7, 9 & 11 × tables. | Know x and ÷ facts for all times tables to 12×12. | Know number bonds to 100. |
Upper Key Stage 2
The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their understanding of the number system and place value to include larger integers. This should develop the connections that pupils make between multiplication and division with fractions, decimals, percentages and ratio. At this stage, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. With this foundation in arithmetic, pupils are introduced to the language of algebra as a means for solving a variety of problems. Teaching in geometry and measures should consolidate and extend knowledge developed in number. Teaching should also ensure that pupils classify shapes with increasingly complex geometric properties and that they learn the vocabulary they need to describe them. By the end of year 6, pupils should be fluent in written methods for all four operations, including long multiplication and division, and in working with fractions, decimals and percentages. Pupils should read, spell and pronounce mathematical vocabulary correctly. National Curriculum
This is achieved through the use of Power Maths, focusing on a Key Instant Recall Fact (KIRF) per half term and using Times Table Rockstars to support fluency development.
| Autumn 1 | Autumn 2 | Spring 1 | Spring 2 | Summer 1 | Summer 2 | |
|---|---|---|---|---|---|---|
| Year 5 |
Place Value Representing numbers to 10,000. Comparing, order and rounding numbers to 1,000,000. Addition and Subtraction Statistics |
Multiplication and Division Multiples, factors, square and cube numbers. Multiplying and dividing whole numbers by 10, 100 and 1000. Measurement |
Multiplication and Division Multiplying a 3-digit number by a 2-digit number and 4-digit number by a 2-digit number. Dividing 4-digit numbers by a 1-digit number. Fractions |
Fractions Adding and subtracting fractions with the same and different denominators. Adding and subtracting mixed numbers. Multiplying fractions. Decimals and Percentages |
Decimals Adding and subtracting decimals. Multiplying and dividing decimals by 10, 100 and 1000. Shape |
Shape Recognising and drawing parallel and perpendicular lines. Regular and irregular polygons. Position and Direction Measurement |
| KIRF | Add and subtract using place value. | Recall prime numbers up to 20 and find factor pairs. | Recall square numbers and their square roots, to 144. | Recall metric conversions. | x & ÷ numbers/decimals by 10, 100 and 1000. | Recall decimal number bonds: to 1 and 10. |
| Autumn 1 | Autumn 2 | Spring 1 | Spring 2 | Summer 1 | Summer 2 | |
|---|---|---|---|---|---|---|
| Year 6 |
Place Value Representing, ordering and comparing numbers to 10,000,000. Negative numbers. Four Operations |
Fractions Simplifying, comparing and ordering fractions. Adding and subtracting fractions, including mixed numbers. Solving problems with fractions. Multiplying and dividing a fraction by a whole number and multiplying a fraction by another fraction. Position and Direction |
Decimals Multiplying and dividing by 10, 100 and 1000. Multiplying and dividing decimals. Percentages Algebra |
Measurement Problem solving with metric units. Converting miles and km. Area and perimeter, including calculating the area of a parallelogram and triangle. Volume of a cuboid. Ratio and Proportion |
Shape Angles in triangles and polygons. Calculate missing angles. Names of parts of a circle. Nets of 3D shapes. Problem Solving |
Statistics The mean. Introducing, reading and interpreting pie charts. Interpreting and constructing line graphs. |
| KIRF | Revise all KIRFs. | Find common factors of pairs of numbers. | Recall prime numbers up to 50. | Convert between decimals, fractions and percentages. | Revise all KIRFs. | Revise all KIRFs. |