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# Year 6 Block B – Securing number facts, understanding shape

## The focuses of mathematics learning within this block are:

• Multiples, factors, primes and prime factors
• Tables to 10 × 10; squares, squares of multiples of 10
• Tests of divisibility
• Mental methods: multiplication and division facts applied to decimals
• Patterns, relationships and properties of numbers and shapes; suggesting hypotheses
• Representing a problem using calculations, symbols, formulae, diagrams
• Visualising and classifying 3-D and 2_D shapes, including quadrilaterals
• Making and drawing shapes
• Using a calculator including to find inverses
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
Tabulate systematically the information in a problem or puzzle; identify and record the steps or calculations needed to solve it, using symbols where appropriate; interpret solutions in the original context and check their accuracy
Represent and interpret sequences, patterns and relationships involving numbers and shapes; suggest and test hypotheses; construct and use simple expressions and formulae in words then symbols (e.g. the cost of c pens at 15 pence each is 15c pence)
Use knowledge of multiplication facts to derive quickly squares of numbers to 12 × 12 and the corresponding squares of multiples of 10
Use knowledge of place value and multiplication facts to 10 × 10 to derive related multiplication and division facts involving decimals (e.g. 0.8 × 7, 4.8 ÷ 6)
Recognise that prime numbers have only two factors and identify prime numbers less than 100; find the prime factors of two-digit numbers
Use approximations, inverse operations and tests of divisibility to estimate and check results
Use a calculator to solve problems involving multi-step calculations
Describe, identify and visualise parallel and perpendicular edges or faces; use these properties to classify 2-D shapes and 3-D solids
Make and draw shapes with increasing accuracy and apply knowledge of their properties