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# 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 two-step word problems involving numbers, money or measures
• Representing a problem
• Interpreting the solution
• Interpreting the language of ratio and proportion
• Using a calculator
The objectives for the block are listed in the table – the right hand column indicates how the objectives might be addressed in the units
ObjectivesUnit 1Unit 2Unit 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 two-digit numbers by a one-digit 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. 31/2)
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')