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Maths

Maths is a very important part of Year 6 and will be taught for an hour each day. The focus for maths lessons will be fluency – learning and practicing new skills and reasoning and problem solving – applying the skills to solve real life situations and problems. We will start by looking at number and place value (up to 10 million) and move to addition and subtraction,  and then develop our multiplication and division knowledge.

 

Children in year 6 are expected to know and use the multiplication facts up to 12x12 and the related division facts (The National Curriculum states that childrne shoukld know their times tables to 12 x 12 by the end of Year4). It is important that they know the facts off by heart as this will help them with more complex mental calculations.

 

From September, children will practise the following basic number and counting skills. They need to know them by heart and be able to apply them to their maths work.  Children need to practise these facts at home to reinforce learning from school to help them become fluent.
 

  • Compliments to 1 in 1/100’s e.g 0.81+0.19
  • Count forward and backwards with positive and negative numbers, including through zero.
  • Count forward and backwards in steps of powers to 10 for any given number to 1,000,000
  • Multiply and divide mentally any number drawing upon known facts
  • Square and cubed numbers ( to 10 x 10 x 10)
  • Prime numbers to 100
  • Prime factors of numbers to 100
  • Convert equivalent fractions to decimals and percentages
  • Find percentages of amounts using tables knowledge
  • FDP equivalents of halves, quarters, tenths, hundredths, thirds and fifths, sixths and eighths (ninths and elevenths if possible) ( e.g. 1/5 = 2/10 = 0.2 = 20%)
  • Doubles and halves of 2.d.pdecimals to 100 (e.g. double 18.45, half of 6.48)
  • Know decimal compliments for all whole numbers to 10 – 2.d.p (e.g. 7.26 + 0.74 = 8)

National Curriculum Objective

Place Value

White Rose Small steps

 

Read, write, order and compare numbers up to 10,000,000 and  determine the value of each digit.

 

 

 

 

 

 

 

  • Numbers to ten million
  • Compare and order any number
  • Round any numbers
  • Negative numbers

 

Round any whole number to a required degree of accuracy.

 

 

Use negative numbers in context, and calculate intervals across zero.

 

 

Solve number and practical problems that involve all of the above.

 

 

National Curriculum Objective

4 operations

White Rose Small steps

Solve addition and subtraction multi step problems in contexts, deciding which operations and methods to use and why.

 

 

 

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  • Add and subtract whole numbers
  • Multiply up to a 4-digit by 1-digit number
  • Short division
  • Division using factors
  • Long division (1)
  • Long division (2)
  • Long division (3)
  • Long division (4)
  • Common factors
  • Common multiples
  • Primes
  • Squares and cubes
  • Order of operations
  • Mental calculations and estimation
  • Reasoning from known facts

Multiply multi-digit number up to 4 digits by a 2-digit number using the formal written method of long multiplication.

 

Divide numbers up to 4 digits by a 2-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding as appropriate for the context.

 

Divide numbers up to 4 digits by a 2-digit number using the formal written method of short division, interpreting remainders according to the context.

 

Perform mental calculations, including with mixed operations and large numbers.

 

Identify common factors, common multiples

and prime numbers.

 

Use their knowledge of the order of operations to carry out calculations involving the four operations.

 

Solve problems involving addition, subtraction,

multiplication and division.

 

Use estimation to check answers to calculations

and determine in the context of a problem, an appropriate degree of accuracy.

 

 

 

National Curriculum Objective

Fractions

White Rose Small steps

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.

 

 

 

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  • Simplify fractions
  • Fractions on a number line
  • Compare and order fractions by the denominator
  • Compare and order fractions by the numerator
  • Add and subtract fractions (1)
  • Add and subtract fractions (2)
  • Adding fractions
  • Subtracting fractions
  • Mixed addition and subtraction problems
  • Multiply fractions by whole number
  • Multiply fractions by fraction
  • Divide a fraction by a whole number (1)
  • Divide a fraction by a whole number (2)
  • Four rules with fractions
  • Fraction of an amount
  • Fraction of an amount - finding the whole

Compare and order fractions, including fractions > 1

 

Generate and describe linear number sequences (with fractions)

 

Add and subtract fractions with different denominations and mixed numbers, using the concept of equivalent fractions.

 

Multiply simple pairs of proper fractions, writing the answer in its simplest form (for example

¼ x ½ = 1/8)

Divide proper fractions by whole numbers (for example 1/3 ÷ 2 = 1/6)

 

Associate a fraction with division and calculate decimal fraction equivalents (for example, 0.375)for a simple fraction (for example 3/8)

 

Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

 

 

National Curriculum Objective

Geometary

White Rose Small steps

Describe positions on the full coordinate grid (all four quadrants).

 

 

 

  • Coordinates in the first quadrant
  • Plotting coordinates
  • Translations
  • Reflections
  • Reasoning about shapes with coordinates

 

Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.