The children will explore fractions in different representations, for example, fractions of shapes, quantities and fractions on a number line. They will also deepen their understanding of equivalent fractions, proper and improper fractions. Later on, they will use practical equipment and pictorial representations to add and subtract two or more fractions.
The children will recognise the place value of each digit in a four-digit number and continue to order and compare numbers beyond 1000 using mathematical vocabulary and symbols. They will identify, represent and estimate numbers using different representations and will begin to round numbers to the nearest 1000. Children will focus on counting from 0 in multiples of 6, 7, 9, 25 and 1000, count backwards through zero to include negative numbers and find 1000 more or less than a given number. They will begin to read Roman numerals up to 1000. Finally, children will have the opportunity to use all their number and place value skills to solve a range of problems.
Addition and Subtraction
The children will practise mental methods with increasingly large numbers to aid fluency. They will add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate. Children will also estimate and use inverse operations to check answers to a calculation. Finally, the children will solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.
Multiplication and Division
The children will use concrete manipulatives and place value charts in order to build their understanding of the relationship between multiplying and dividing numbers. They will also use their knowledge of equal groups to use concrete and pictorial methods to solve questions and problems involving multiplication and division.