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Year 6 Maths

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Autumn Term

In the autumn term Year 6 children will:

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

  • Round any whole number to a required degree of accuracy

  • solve number and practical problems involving ordering and comparing numbers, round using negative numbers and calculate intervals across zero

  • 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 multiplication

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

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

  • Use common factors to simplify fractions; use common multiples to express fractions in the same denominations

  • Compare and order fractions, including fractions >1

  • Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

  • Use estimation to check answers to calculations and determine, in the context of problem, a appropriate degree of accuracy

  • Identify common factors, common multiplies and prime numbers

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

  • Multiply simple pairs of proper fractions, writing the answer in its simplest form

  • Divide proper fractions by whole numbers

  • Associate a fraction with division and calculate decimal fraction equivalents

  • Identify the value of each digit in numbers given to thee decimal places

  • Multiply and divide numbers by 10, 100 and 1000 giving answers up to three 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

  • Solve problems involving the calculation of percentages and the use of percentages for comparison

  • 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, using decimal notation up to three decimal palaces

  • 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

  • Multiply one-digit numbers with up to two decimal places by whole numbers

  • Use written division methods in cases where the answer has up to two decimal places

Spring Term

In the spring term Year 6 children will:

  • Recognise that shapes with the same areas ca have different perimeters and vice versa

  • Recognise when it is possible to use formulae for area and volume of shapes

  • Use simple formulae

  • Generate and describe linear number sequences

  • Express missing number problems algebraically

  • Find pairs of numbers that satisfy an equation with two unknowns

  • Enumerate possibilities of combinations of two variables

  • Calculate the area of parallelograms and triangles

  • Calculate, estimate and compare volume of cubes and cuboids using standard units

  • Solve problems involving the relative sizes of two quantities where missing values can be found by using inter multiplication and division facts

  • 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

  • Find unknown angles in any triangles, quadrilaterals and regular polygons

  • Recognise angles where they meet at a point are on a straight line, or are vertically opposite, and find missing angles

  • Convert between miles and kilometres

  • Draw 2D shapes using given dimensions and angles

  • Recognise, describe and build simple 3D shapes, including making nets

  • Compare and classify geometric shapes based on their properties and sizes

  • Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

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

  • Draw and translate simple shapes on the coordinate plane, and reflects them in the axis

  • Interpret and construct pie charts and line graphs and use them to solve problems

  • Calculate and interpret the mean as an average

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

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