National Numeracy Strategy Years 3-6

Year

Number and the number system

• Use symbols correctly, including less than (<), greater than (>), equals (=).
• Round any positive integer less than 1000 to the nearest 10 or 100.

Fractions and Decimals

• Recognise simple fractions that are several parts of a whole, and mixed numbers; recognise the equivalence of simple fractions.
• Understand decimal notation and place value for tenths, hundredths
• Recognize equilivalance between the decimal and fractions forms1/4/ and 0.25
• Use known number facts and place value to add or subtract mentally, including any pair of two-digit whole numbers.

Calculations

• Carry out column addition and subtraction of two integers less than 1000, and column addition of more than two such integers.
• Know by heart facts for the 2, 3, 4, 5 and 10 multiplication tables.
• Derive quickly division facts corresponding to the 2, 3, 4, 5 and 10 multiplication tables.
• Find remainders after division.

Measure

• Know and use the relationships between familiar units of length, mass and capacity.

Shape and space

• Classify polygons, using criteria such as number of right angles, whether or not they are regular, symmetry properties.

Handling data

• Use charts, tables graphs pictograms and bar charts

Mental calculations

• Choose and use appropriate number operations and ways of calculating (mental, mental with jottings, pencil and paper) to solve problems
  

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Year

Number and Number systems

• Multiply and divide any positive integer up to 10000 by 10 or 100 and understand the effect.
• Order a given set of positive and negative integers
• .use vocabulary of estimation and approximation

Fractions, decimals and percentages, ratio and proportion

• Use fraction notation ,mixed numbers numerator and denominator
• Use decimal notation for tenths and hundredths.
• Round a number with one or two decimal places to the nearest integer.
• Relate fractions to division and to their decimal representations.

Calculations

• Calculate mentally a difference such as 8006 - 2993.
• Carry out column addition and subtraction of positive integers less than 10000.
• Extend written methods to column addition/subtraction of two integers less than 1000

Multiplication and Division

• Know by heart all multiplication facts up to 10 x 10.
• Carry out short multiplication and division of a three-digit by a single-digit integer.
• Carry out long multiplication of a two-digit by a two-digit integer.
• Extend written methods to short multiplication/division of HTU or .t byU
• Long Multiplication by TU by TU

Solving Problems

• Identify and use appropriate operations (using more than one operation) to solve word problems involving numbers and quantities
• Explain method and reasoning

Handling data

• Solve a problem by extracting and interpretating data in tables, graphs ,charts
• Find the mode and range of data

Measure, shape and space

• Understand area measured in square centimetres; understand and use the formula in words 'length x breadth' for the area of a rectangle.
• Recognise parallel and perpendicular lines, and properties of rectangles.
• Use all four operations to solve simple word problems involving numbers and quantities, including time, explaining methods and reasoning.
  

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Year

Numbers and the number system

• Multiply and divide decimals mentally by 10 or 100, and integers by 1000, and explain the effect.
• Order a mixed set of numbers with up to three decimal places.

Fraction, decimals and percentages, ratios and proportions

• Reduce a fraction to its simplest form by cancelling common factors.
• 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).
• Understand percentage as a number of parts in every 100, and find simple percentages of small whole-number quantities.
• Solve simple problems involving ratio and proportion.
• Carry out short multiplication and division of numbers involving decimals.

Calculations

• Derive quickly division facts corresponding to multiplication tables up to 10 x 10.
• Carry out long multiplication of a three-digit by a two-digit integer.

Solving Problems

• Solve a problem by extracting and interpreting information presented in tables, graphs and charts.
• Make decisions by using appropriate number operations
• Calculate mentally and by writing
• Develop from explaining a generalized relationship in words to express it in formula using letters as symbols e.g the cost of n articles at 15p each
• Identify and use the appropriate operations (including combinations of operations) to solve word problems involving numbers and quantities, and explain methods and reasoning

Handling data

• Solve a problem by extracting and interpreting data in tables, graphs and charts
• Measure shape and space
• Calculate the perimeter and area of simple compound shapes that can be split into rectangles.

Shape and space

• Use a protractor to measure acute and obtuse angles to the nearest degree.
• Read and plot co-ordinates in all four quadrants.
• Begin to find median and the mean of a set of data

These are extracts from the Numeracy Strategy. In each year group I have highlighted the new aspects for each year. Within the complete text there is work repeated and extended for one year to the next. To see the Numeracy Strategy please go to:

www.standards.dfes.gov.uk/numeracy/

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