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Year Six Mathematics

Numbers & the number system

 

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

 

Calculation - addition & subtraction, multiplication & division

 

  • 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 whole 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 four 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, levels of accuracy.

 

  • ALGEBRA

 

  • Use simple formulae
  • Generate and describe linear number sequences
  • Express missing number problems algebraically
  • Find pairs of numbers that satisfy number sentences with two unknowns
  • Enumerate possibilities of combinations of two variables.

 

RATIO AND PROPORTION

 

  • Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts
  • Solve problems involving the calculation of percentages ( for example, of measures, and such as 15% of 360 ) and the use of percentages for comparison
  • Solve problems involving similar shapes where the scale factor is known or can be found
  • Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

 

Calculation - Fractions, Decimals & Percentages

 

  • Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.
  • Compare & order 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 1/4 x 1/= 1/8 ]
  • · Divide proper fractions by whole numbers [for example 1/3 ÷ 2 = 1/]
  • Associate a fraction with division and calculate decimal fraction equivalents [ for example 0.375 ] for a simple fraction [ for example 3/8 ]
  • Identify the value of each digit to three decimal places & x and ÷ numbers by 10, 100 and 1000 - with answers to 3 decimal places
  • Multiply one-digit numbers with up to two decimal places by whole numbers
  • Use written ÷ methods where the answer has up to 2 decimal places
  • Solve problems which require answers to be rounded to specified degrees of accuracy
  • Recall & use equivalences between simple fractions, decimals & percentages, including in different contexts.

 

Measures

 

  • Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three 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 three 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 centimetre cubed (cm3) and cubic metres (m3), and extending to other units [for example mm3 and km3. ]

 

Shape & Space

 

  • Draw 2-D shapes using given dimensions and angles
  • Recognise, describe and build simple 3-D shapes, including making nets.
  • Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons.
  • Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius.
  • Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.
  • 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.

 

Statistics

 

  • Interpret and construct pie charts and line graphs and use these to solve problems
  • Calculate and interpret the mean as an average.
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