Maths
Autumn 1 topics:
Unit 4 - Multiplication and division (1)
This unit will develop children’s multiplicative reasoning. Children will begin by developing their understanding of multiples, common multiples, factors and common factors, recognising what they are and how they are found. These concepts will be closely linked to familiar and new concrete and pictorial representations to secure their understanding.
Following this, children will learn about prime numbers and how they are different to composite numbers. Children will then investigate square and cube numbers, linked to their concrete understanding of the shape namesakes.
Having learnt about properties of numbers, children will learn how to multiply and divide by 10, 100 and 1,000 and use this knowledge to multiply and divide by multiples of 10, 100 and 1,000.
Before they start this unit, it is expected that children:
• know their times-tables to 12 fluently and can count in 10s, 100s and 1,000s
• understand and use the operations of multiplication and division confidently
• recognise the place value of 4-digit numbers.
Unit 5 - Fractions (1)
Children will begin this unit by developing their understanding of how to find equivalent fractions by simplifying and expanding, and exploring how equivalent fractions represent the same fraction differently.
Children will learn how to create a family of equivalent fractions by multiplying. These skills are vital for further work later on, when children are required to find equivalent fractions in order to add and subtract fractions with different denominators.
Children will learn to convert between mixed numbers and improper fractions, and how to use these in real-life contexts, using pictorial representations to demonstrate their understanding.
Finally, children will use their knowledge of equivalent fractions in order to compare or order fractions.
Before they start this unit, it is expected that children:
• can recognise and identify a numerator and denominator in a fraction and explain what these represent
• understand how to find a missing numerator or denominator in simple fractions by multiplying or dividing
• know how to count in simple fractions from 0, saying answers as mixed numbers and improper fractions.
Unit 6 - Fractions (2)
This unit introduces children to adding and subtracting related fractions by finding a common denominator. The particular focus is on examples where one number is a multiple of another.
This is the first time children will have met such a concept and visual representations of fractions should help children grasp this fundamental topic. Children will extend their knowledge to adding and subtracting simple mixed numbers as well as proper and improper fractions.
It is important that children develop their confidence and flexibility with fractions so that they are confident exploring the most efficient methods in problem solving with fractions. These skills will be key for Year 6 and beyond as children add together or subtract any two or more fractions.
Before they start this unit, it is expected that children:
• can find factors and multiples of numbers using multiplication facts
• can find equivalent fractions and convert between improper fractions and mixed numbers.
