 # Mathematics

## The National Curriculum for Mathematics PRIMARY_national_curriculum_-_Mathematics_220714.pdf

## Mathematics Intent

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

# Progression in Mathematics - Place Value

## Reception Mathematics 1. Experiment with their own symbols and marks as well as numerals.

2. Solve real world mathematical problems with numbers up to 5.

3. Compare quantities using language: ‘more than’, ‘fewer than’. 1. Count objects, actions and sounds beyond 10.

2. Link the number symbol (numeral) with its cardinal number value.

3. Understand the ‘one more than/one less than’ relationship between consecutive numbers.

## Year 2 Mathematics 1. Count, read and write numbers to 100 in numerals

2. Represent and compare numbers using objects and pictorial representations

3. Recall number bonds for 10 and reason about associated facts (e.g. 6 + 4 = 10 , therefore 4 + 6 = 10 and 10 – 6 = 4) 1. Partition any two-digit number into different combinations of tens and ones, explaining their thinking verbally, in pictures or using apparatus

2. Recall all number bonds to and within 10 and use these to reason with and calculate bonds to and within 20, recognising other associated additive relationships (e.g. If 7 + 3 = 10, then 17 + 3 = 20; if 7 – 3 = 4, then 17 – 3 = 14; leading to if 14 + 3 = 17, then 3 + 14 = 17, 17 – 14 = 3 and 17 – 3 = 14)

## Year 4 Mathematics 1. Compare and order numbers up to 1000 (recognising the place value of each digit)

2. (Add and) subtract numbers mentally, including 3 digit numbers and ones, tens and hundreds

3. (Add and) subtract numbers with up to 3-digits using formal written methods 1. Compare and order numbers beyond 1000 (recognising the place value of each digit)

2. Count backwards through zero, including negative numbers

3. (Add and) subtract numbers with up to 4 digits using the formal written methods

## Year 6 Mathematics 1. Compare and order numbers up to 1,000,000 and determine the value of each digit

2. Interpret negative numbers in context, counting backwards and forwards with positive and negative whole numbers including through 0

3. (Add and) subtract whole numbers with more than 4 digits, including using formal written methods. 1. Compare and order numbers up to 10,000,000 including to 2 decimal places.

2. Use negative numbers in context and calculate intervals across zero

3. Solve multi-step word problems involving a variety of different contexts