YEAR 3

Block 3A - Counting, partitioning and calculating

Unit 1           Unit 2          Unit 3

Block 3B - Securing number facts, understanding shape

Unit 1           Unit 2          Unit 3

Block 3C - Handling data and measures

Unit 1           Unit 2          Unit 3

Block 3D - Calculating, measuring and understanding shape

Unit 1           Unit 2          Unit 3

Block 3E - Securing number facts, calculation and relationships

Unit 1           Unit 2          Unit 3

YEAR 4

Block 4A - Counting, partitioning and calculating

Unit 1           Unit 2          Unit 3

Block 4B - Securing number facts, understanding shape

Unit 1           Unit 2          Unit 3

Block 4C - Handling data and measures

Unit 1           Unit 2          Unit 3

Block 4D - Calculating, measuring and understanding shape

Unit 1           Unit 2          Unit 3

Block 4E - Securing number facts, calculation and relationships

Unit 1           Unit 2          Unit 3

YEAR 5

Block 5A - Counting, partitioning and calculating

Unit 1           Unit 2          Unit 3

Block 5B - Securing number facts, understanding shape

Unit 1           Unit 2          Unit 3

Block 5C - Handling data and measures

Unit 1           Unit 2          Unit 3

Block 5D - Calculating, measuring and understanding shape

Unit 1           Unit 2          Unit 3

Block 6C - Handling data and measures

Unit 1           Unit 2          Unit 3

Block 6D - Calculating, measuring and understanding shape

Unit 1           Unit 2          Unit 3

Block 6E - Securing number facts, calculation and relationships

Unit 1           Unit 2          Unit 3

Block 5E - Securing number facts, calculation and relationships

Unit 1           Unit 2          Unit 3

YEAR 6

Block 6A - Counting, partitioning and calculating

Unit 1           Unit 2          Unit 3

Block 6B - Securing number facts, understanding shape

Unit 1           Unit 2          Unit 3

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Unit 5E 1 -  ICT resources from the framework including ITPs

 

Further Unit 5D resources from the framework

 

 

 

 

         Prior Learning

 

 

Check that children can already:

 

Use diagrams to identify equivalent fractions, e.g.  and  , or  and  ; interpret mixed numbers and position them on a number line, e.g. 3

Use decimal notation for tenths and hundredths and partition decimals; position one- and two-place decimals on a number line

Know the equivalence between decimal and fraction forms of one half, one quarter, tenths and hundredths

Double and halve two-digit numbers

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

Use the vocabulary of ratio and proportion

clocks and timetables.

 

 

 

Cross - Curricular Links

 

SCIENCE: Mathematics in Science

 

ENGLISH: Speaking and listening objectives

 

Key Vocabulary

 

 

problem, solution, calculator, calculate, calculation, equation, operation, symbol, inverse, answer, method, explain, predict, reason, reasoning, pattern, relationship

add, subtract, multiply, divide, sum, total, difference, plus, minus, product, quotient, remainder, multiple, common multiple, factor, divisor, divisible by

decimal fraction, decimal place, decimal point, percentage, per cent (%)

fraction, proper fraction, improper fraction, mixed number, numerator, denominator, unit fraction, equivalent, cancel

proportion, in every, for every, to every

 

 

 

BLOCK 5E > Unit 1 The following learning objectives are to be taught  over a period of 3 weeks. The order and duration of the objectives is at the discretion of the individual class teacher.  Due to time restrictions some objectives may be covered as a lesson starter.

 

 

Refine and use efficient written methods to multiply and divide HTU × U, TU × TU, U.t × U and HTU ÷ U.

 

 

Extend mental methods for whole-number calculations, for example to multiply a two-digit number by a one-digit number (e.g. 12 × 9), to multiply by 25 (e.g. 16 × 25), to subtract one near-multiple of 1000 from another.

 

Recall quickly multiplication facts up to 10 × 10 and use them to multiply pairs of multiples of 10 and 100; derive quickly corresponding division facts.

 

 

 

 

 

 

Solve one-step and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies, including calculator use.

 

 

Identify pairs of factors of two-digit whole numbers and find common multiples. (e.g. for 6 and 9).

 

Find fractions using division (e.g.  of 5kg), and percentages of numbers and quantities. (e.g. 10%, 5% and 15% of £80).

 

Express a smaller whole number as a fraction of a larger one (e.g. recognise that 5 out of 8 is  5/8); find equivalent fractions (e.g. 7/10  = 14/20  , 19/10 or  = 1 9/10 ); relate fractions to their decimal representations.

 

Represent a puzzle or problem by identifying and recording the information or calculations needed to solve it; find possible solutions and confirm them in the context of the problem.

 

Explain reasoning using diagrams, graphs and text; refine ways of recording using images and symbols.

 

 

Use a calculator to solve problems, including those involving decimals or fractions (e.g. find ¾ of 150g); interpret the display correctly in the context of measurement.