Year 4 Block E – Securing number facts, relationships and calculating
The focuses of mathematics learning within this block are:
 Equivalence of fractions
 Mixed numbers
 Fractions of shapes and quantities
 Tables 10 × 10; multiples
 Written methods: TU × U; TU ÷ U; rounding remainders
 Solving one and twostep word problems involving numbers, money or measures
 Representing a problem
 Interpreting the solution
 Interpreting the language of ratio and proportion
The objectives for the block are listed in the table – the right hand column indicates how the objectives might be addressed in the units
Objectives  Unit 1  Unit 2  Unit 3 
Represent a puzzle or problem using number sentences, statements or diagrams; use these to solve the problem; present and interpret the solution in the context of the problem 



Derive and recall multiplication facts up to 10 × 10, the corresponding division facts and multiples of numbers to 10 up to the tenth multiple 



Develop and use written methods to record, support and explain multiplication and division of twodigit numbers by a onedigit number, including division with remainders (e.g.15 × 9, 98 ÷ 6) 



Recognise the equivalence between decimal and fraction forms of one half, quarters, tenths and hundredths 



Use diagrams to identify equivalent fractions (e.g. ^{6}/_{8} and ^{3}/_{4}, or ^{70}/_{100} and ^{7}/_{10}); interpret mixed numbers and position them on a number line (e.g. 3^{1}/_{2}) 



Identify pairs of fractions that total 1 



Find fractions of numbers, quantities or shapes (e.g. ^{1}/_{5} of 30 plums, ^{3}/_{8} of a 6 by 4 rectangle) 



Use the vocabulary of ratio and proportion to describe the relationship between two quantities (e.g. 'There are 2 red beads to every 3 blue beads, or 2 beads in every 5 beads are red'); estimate a proportion (e.g. 'About one quarter of the apples in the box are green') 


