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Maths

Spring Term Coverage 

 

Fractions, decimals and percentages

Pupils should be taught to:

  • use common factors to simplify fractions; use common multiples to express fractions in the same denomination
  • 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 [for example,  ×  =  ]
  • divide proper fractions by whole numbers [for example,  ÷ 2 =  ]
  • associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example,  ]
  • identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places
  • multiply one-digit numbers with up to 2 decimal places by whole numbers
  • use written division methods in cases where the answer has up to 2 decimal places
  • solve problems which require answers to be rounded to specified degrees of accuracy
  • recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

 

 

Problem solving involving the four operations

Pupils should be taught to:

  • multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
  • divide numbers up to 4 digits by a two-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 two-digit number using the formal written method of short division where appropriate, 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 4 operations
  • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
  • 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

 

Algebra

Pupils should be taught to:

  • use simple formulae
  • generate and describe linear number sequences
  • express missing number problems algebraically
  • find pairs of numbers that satisfy an equation with 2 unknowns
  • enumerate possibilities of combinations of 2 variables

 

Measurement

Pupils should be taught to:

  • solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate
  • use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places
  • convert between miles and kilometres
  • recognise that shapes with the same areas can have different perimeters and vice versa
  • recognise when it is possible to use formulae for area and volume of shapes
  • calculate the area of parallelograms and triangles
  • calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]

 

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