AUTUMN TERM 2

Fractions

Finding equivalent fractions - Children continue to use a variety of representations, including fractions of shapes, number lines and parts of a fraction wall as well as the abstract form, to understand the relationships learnt in from Year 4. They complement this conceptual understanding by using multiplication and division facts to find missing numerators or denominators when working in the abstract.

Converting Fractions (mixed number/improper) - Children use objects and diagrams to make wholes to support converting improper fractions into mixed numbers. Once they are confident with this as a concept, they move on to a more abstract approach using division and remainders.

Adding and subtracting fractions - In this small step, children add and subtract fractions with the same denominator. For adding, this will include adding three or more fractions as well as pairs of fractions.

AUTUMN TERM 1

Place Value

Roman Numerals - Children explore further the similarities and differences between the Roman number system and our number system, learning that the Roman system does not have a zero and does not use placeholders.

Numbers to 10,000, 100,000 & 1,000,000 - A variety of pictorial and concrete representations are used, including base 10, place value counters, place value charts and part-whole models. In particular, the ability to use place value charts needs to be secure, as this is the main representation used in the coming steps where children learn about 5- and 6-digit numbers.

Addition & Subtraction

Addition - Children recap and build on their learning from previous years to mentally calculate sums and differences using partitioning. They use their knowledge of number bonds and place value to add and subtract multiples of powers of 10. Children unitise to help them complete a calculation. For example, if they know that 3 + 5 = 8, then 3 thousand + 5 thousand = 8 thousand and 3,000 + 5,000 = 8,000.

Subtraction - Children revisit the use of the column method for subtraction and learn to apply this method to numbers with more than four digits.children revisit the use of the column method for subtraction and learn to apply this method to numbers with more than four digits.

Multiplication & Division

Multiplication & Division - Children will look to identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers. Children are able to solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes