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Mathematics

Year 6 Mathematics  

Through daily maths lessons during the term we aim to address all main topic areas following White Rose Maths structure with a focus on: Place Value, Addition & Subtraction, Multiplication & Division, Fractions, Geometry- Position and Direction. We will also improve our mental maths (arithmetic) recall and subject knowledge during the week; continuing our times table including Timestable Rockstars. The SATs require pupils to be able to interpret problems and explain their reasoning using the correct number operation so as a general request any “real life” problems that you come across in daily life e.g. “How long before the News comes on?” or “How much change do you think I will be given?” is very good practice.  

 

During the autumn term our four main areas of learning in maths lessons will focus on:

  • Number: place value
  • Number: addition, subtraction, multiplication and division
  • Number: fractions
  • Geometry: position and direction

Through our place value work children will be taught to:

  • read, write, order and compare numbers up to 10 000 000 and determine the value of each digit
  • round any whole number to a required degree of accuracy
  • use negative numbers in context, and calculate intervals across 0
  • solve number and practical problems that involve all of the above

Through our work on addition and subtraction children will be taught to:

  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
  • use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

Through our work on multiplication and division children will be taught to:

  • multiply multi-digit numbers up to four digits by a 2-digit whole number using the formal written method of long multiplication
  • divide numbers up to four 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 four digits by a 2-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
  • use their knowledge of the order of operations to carry out calculations involving the four operations
  • solve problems involving addition, subtraction, multiplication and division multiply 1-digit numbers with up to two decimal places by whole numbers (taken from Fractions including Decimals and Percentages)

Through our work on fractions children will be taught to:

  • use factors to simplify fractions; use common multiples to express fractions in the same denominator
  • compare and order fractions, including fractions > 1
  • add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
  • multiply simple pairs of proper fractions, writing the answer in its simplest form 
  • divide proper fractions by whole numbers 
  • multiply 1-digit numbers with up to two decimal places by whole numbers
  • and use equivalences between simple fractions, decimals and percentages, including in different contexts

Through our work on position and direction children will be taught to:

  • describe positions on the full coordinate grid (all four quadrants)
  • draw and translate simple shapes on the coordinate plane, and reflect them in the axes

 

TOP revision websites (click to take direct to the web page):

Bitesize

Top Marks

Math Quizzes

If you would like to play some games to practise your times tables, click here.

If you would like to play mental maths games, click here

Place Value

If you would like to practise using Dienes base ten blocks, click here.

If you would like to practise using place value charts, click here. 

If you would like to practise your number skills against the clock, click here.

If you would like to put your place value skills to the test, click here to play 'Who Wants to be a Millionaire'.

 

Spring term maths learning includes:

Decimals

Percentages

Measurement: converting units

Measurement: perimeter, area and volume.

Now we've all returned back to school our maths learning will reinforce prior learning and recap:

Place value

Written methods for addition and subtractions

Written methods for multiplication and division

Geometry: position and direction

 

Summer term maths learning includes:

Geometry - Position and Direction:

  • first quadrant
  • four quadrants
  • translations
  • reflections

Websites https://www.bbc.co.uk/bitesize/topics/zgthvcw

http://www.teacherled.com/2015/05/05/show-the-coordinate/

 

Statistics:

  • read and interpret line graphs
  • draw line graphs
  • use line graphs to solve problems
  • circles
  • read and interpret pie charts
  • mean

Websites: https://www.bbc.co.uk/bitesize/topics/zqgrd2p

https://www.topmarks.co.uk/maths-games/7-11-years/data-handling

 

Algebra:

  • find a rule
  • forming expressions
  • substitution
  • formulae
  • forming equations
  • one/two-step equations
  • finding pairs of equations

Ratio

  • use ratio language
  • ratio and fractions
  • introducing ratio symbol
  • calculating ratio
  • using scale factors
  • ratio and proportion

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