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Numeracy in Years 5 and 6

Year 5 numeracy 

 

Key objectives to be achieved

 

 

Ø     Multiply and divide any positive integer (whole number) up to 10 000 by 10 or 100 and understand the effect

Ø     Order a given set of positive and negative numbers

Ø     Use decimal notation for tenths and hundredths

Ø     Round a number with one or two decimal places to the nearest integer

Ø     Relate fractions to division and to their decimal representations e.g. ¾ is the same as 3 divided by 4, ¾=0.75

Ø     Calculate mentally a difference such as 8006- 2993

Ø     Carry out column addition and subtraction of positive integers less than 10 000

Ø     Know by heart all multiplication facts up to 10 x 10

Ø     Carry out short multiplication and division of a three-digit by a single-digit integer e.g. 567 x 8

Ø     Carry out long multiplication of a two-digit by a two-digit integer e.g. 58 x 35

Ø     Understand area measured in square centimetres (cm2); understand and use the formula in words length x breadth for the area of a rectangle

Ø     Recognise parallel and perpendicular lines, and properties of rectangles

Ø     Use all four operations to solve simple word problems involving numbers and quantities, including time, explaining methods and reasoning

Year 6 numeracy 

Key objectives to be achieved

 

 

Ø      Multiply and divide decimals mentally by 10 or 100, and integers (whole numbers) by 1000, and explain the effect

Ø      Order a mixed set of numbers with up to three decimal places

Ø      Reduce a fraction to its simplest form by cancelling common factors e.g. 16/20 = 4/5, (dividing top and bottom by 4)

Ø      Use a fraction as an operator to find fractions of numbers or quantities e.g. 5/8 of 32, 7/10 of 40. 9/100 of 400 centimetres

Ø      Understand percentage as the number of parts in every 100, and find simple percentages of small whole number quantities e.g. 75% of £400

Ø      Solve simple problems involving ration and proportion

Ø      Carry out column addition and subtraction of numbers involving decimals

Ø      Derive quickly division facts corresponding to multiplication tables up to 10 x10

Ø      Carry out short multiplication and division of numbers involving decimals

Ø      Carry out long multiplication of a three-digit by a two-digit integer e.g.456 x 34

Ø      Use a protractor to measure acute (less than 90 degrees) angles and obtuse (greater than 90 degrees) to the nearest degree

Ø      Calculate the perimeter and area of simple compound shapes that can be split into rectangles

Ø      Read and plot co-ordinates in all four quadrants

Ø      Identify and use the appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning

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