# Maths Year 6

### In maths a Year 6 child is expected to know:

#### Number

• Read, write and order numbers to 10,000,000
• Round any number to any degree of accuracy
• Add and subtract negative numbers
• Multiply a 4-digit number by a 2-digit number
• Divide a 4-digit number by a 2-digit number, expressing remainder as a fraction, decimal fraction or by rounding to whole numbers
• Mental Agility: Calculations involving large numbers
• Mental Agility: Calculations involving two operations
• Use estimation to check answers
• Carry out problem solving calculations involving all 4 operations
• Add and subtract mixed numbers with fractions of different denominations
• Fractions: Multiply simple fractions, writing answers in their simplest forms
• Divide proper fractions by whole numbers
• Identify value of each digit in a 3 decimal place number
• Multiply decimal fraction with 3 decimal places by 10, 100 and 1000
• Multiply and divide a number with 2 decimal places by 1-digit and 2-digit numbers
• Percentages: Use percentages for comparisons
• Calculate percentage of whole numbers
• Recall and use equivalences between fractions, decimal fractions and percentages
• Ratio: Use ratio to show relative sizes of 2 quantities
• Algebra: Solve linear missing numbers
• Continue a linear number sequence involving positive and negative numbers

#### Shape and Measures

• Compare and classify geometrical shapes based on properties and size
• Find unknown angles in a triangle, quadrilateral and regular polygon
• Illustrate and name parts of a circle, including radius, diameter and circumference
• Recognise, describe and build 3D shapes
• Create a cuboid from a net
• Describe properties of 3D shapes and identify parallel planes and symmetry
• Estimate size of angles
• Describe position on the full coordinate grid
• Draw, translate and reflect shapes
• Read, write and convert between standard units
• Calculate area of parallelograms and triangles
• Data: Draw, read and interpret graphs
• Use and interpret mean as an average

#### Number, place value, approximation and estimation/rounding

• I can read, write, order and compare numbers up to10,000,000.
• I can determine the value of each digit in numbers up to 10,000,000.
• I can round any whole number to a required degree of accuracy.
• I can use negative numbers in context, and calculate intervals across zero.
• I can solve number problems and practical problems with the above.

#### Calculations

• I can use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.
• I can solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.
• I can identify common factors, common multiples and prime numbers.
• I can perform mental calculations, including with mixed operations and large numbers.
• I can multiply multi-digit numbers up to 4 digits by a 2 digit whole number using the formal written method of long multiplication.
• I can 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.
• I can divide numbers up to 4 digits by a 2 digit number using the formal written method of short division where appropriate.
• I can solve problems involving addition, subtraction, multiplication and division.
• I can use my knowledge of the order of operations to carry out calculations involving the four operations.

#### Fractions, decimals and percentages

• I can use common factors to simplify fractions and use common multiples to express fractions in the same denomination.
• I can compare and order fractions, including fractions >1.
• I can add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.
• I can multiply simple pairs of proper fractions, writing the answer in the simplest form.
• I can divide proper fractions by whole numbers.
• I can associate a fraction with division to calculate decimal fractions equivalents for a simple fraction.
• I can identify the value of each digit to 3 decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to 3 decimal places.
• I can multiply 1-digit numbers with up to 2 decimal places by whole numbers.
• I can use written division methods in cases where the answer has up to 2 decimal places.
• I can solve problems which require answers to be rounded to specified degrees of accuracy.
• I an recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

#### Ratio and proportion

• I can solve problems involving the relative sizes of two quantities, where missing values can be found using integer multiplication and division facts.
• I can solve problems involving the calculation of percentages and the use of percentage comparisons.
• I can solve problems involving similar shapes where the scale factor is known or can be found.
• I can solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

#### Algebra

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

#### Measurement

• I can 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 of up to 3 decimal places.
• I can convert between miles and kilometres.
• I recognise that shapes with the same areas can have different perimeters and vice versa.
• I can calculate the area of parallelograms and triangles.
• I recognise when it is possible to use the formulae for the area of shapes.
• I can calculate, estimate and compare volume of cubes and cuboids, using standard units.
• I recognise when it is possible to use the formulae for the volume of shapes.
• I can solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate.

#### Geometry – properties of shapes

• I can compare and classify geometric shapes based on the properties and sizes.
• I can describe simple 3D shapes.
• I can draw 2D shapes given dimensions and angles.
• I recognise and build simple 3D shapes, including making nets.
• I can find unknown angles in any triangles, quadrilaterals and regular polygons.
• I recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.
• I can illustrate and name parts of circles, including radius, diameter and circumference.
• I know the diameter is twice the radius.

#### Geometry – position and direction

• I can draw and translate simple shapes on the co-ordinate plane, and reflect them in the axes.
• I can describe positions on the full co-ordinate grid (all four quadrants).

#### Statistics

• I can interpret and construct pie charts and line graphs and use these to solve problems
• I can calculate and interpret the mean as an average.

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