# Year 6 Mathematics

The long term plan below shows the order in which units are taught and approximately how many weeks are spent on each unit.

These are broken down further into the small stepsfor each unit of work. All small steps involve an element of reasoning and problem solving and link to the National Curriculum. ## Place Value

Step 1 Numbers to 1,000,000

Step 2 Numbers to 10,000,000

Step 3 Read and write numbers to 10,000,000

Step 4 Powers of 10

Step 5 Number line to 10,000,000

Step 6 Compare and order any integers

Step 7 Round any integer

Step 8 Negative numbers

Pupils should be taught to:

## Addition, Subtraction, Multiplication and Division

Step 1 Add and subtract integers

Step 2 Common factors

Step 3 Common multiples

Step 4 Rules of divisibility

Step 5 Primes to 100

Step 6 Square and cube numbers

Step 7 Multiply up to a 4-digit number by a 2-digit number

Step 8 Solve problems with multiplication

Step 9 Short division

Step 10 Division using factors

Step 11 Introduction to long division

Step 12 Long division with remainders

Step 13 Solve problems with division

Step 14 Solve multi-step problems

Step 15 Order of operations

Step 16 Mental calculations and estimation

Step 17 Reason from known facts

Pupils should be taught to:

## Fractions A

Step 1 Equivalent fractions and simplifying

Step 2 Equivalent fractions on a number line

Step 3 Compare and order (denominator)

Step 4 Compare and order (numerator)

Step 5 Add and subtract simple fractions

Step 6 Add and subtract any two fractions

Step 8 Subtract mixed numbers

Step 9 Multi-step problems

Pupils should be taught to:

## Fractions B

Step 1 Multiply fractions by integers

Step 2 Multiply fractions by fractions

Step 3 Divide a fraction by an integer

Step 4 Divide any fraction by an integer

Step 5 Mixed questions with fractions

Step 6 Fraction of an amount

Step 7 Fraction of an amount – find the whole

Pupils should be taught to:

## Converting Units

Step 1 Metric measures

Step 2 Convert metric measures

Step 3 Calculate with metric measures

Step 4 Miles and kilometres

Step 5 Imperial measures

Pupils should be taught to:

## Ratio

Step 2 Use ratio language

Step 3 Introduction to the ratio symbol

Step 4 Ratio and fractions

Step 5 Scale drawing

Step 6 Use scale factors

Step 7 Similar shapes

Step 8 Ratio problems

Step 9 Proportion problems

Step 10 Recipes

Pupils should be taught to:

## Algebra

Step 1 1-step function machines

Step 2 2-step function machines

Step 3 Form expressions

Step 4 Substitution

Step 5 Formulae

Step 6 Form equations

Step 7 Solve 1-step equations

Step 8 Solve 2-step equations

Step 9 Find pairs of values

Step 10 Solve problems with two unknowns

Pupils should be taught to:

## Decimals

Step 1 Place value within 1

Step 2 Place value – integers and decimals

Step 3 Round decimals

Step 4 Add and subtract decimals

Step 5 Multiply by 10, 100 and 1,000

Step 6 Divide by 10, 100 and 1,000

Step 7 Multiply decimals by integers

Step 8 Divide decimals by integers

Step 9 Multiply and divide decimals in context

Pupils should be taught to:

## Fractions, decimals and percentages

Step 1 Decimal and fraction equivalents

Step 2 Fractions as division

Step 3 Understand percentages

Step 4 Fractions to percentages

Step 5 Equivalent fractions, decimals and percentages

Step 6 Order fractions, decimals and percentages

Step 7 Percentage of an amount – one step

Step 8 Percentage of an amount – multi-step

Step 9 Percentages – missing values

Pupils should be taught to:

## Area, perimeter and volume

Step 1 Shapes – same area

Step 2 Area and perimeter

Step 3 Area of a triangle – counting squares

Step 4 Area of a right-angled triangle

Step 5 Area of any triangle

Step 6 Area of a parallelogram

Step 7 Volume – counting cubes

Step 8 Volume of a cuboid

Pupils should be taught to:

## Statistics

Step 1 Line graphs

Step 2 Dual bar charts

Step 3 Read and interpret pie charts

Step 4 Pie charts with percentages

Step 5 Draw pie charts

Step 6 The mean

Pupils should be taught to:

## Shape

Step 1 Measure and classify angles

Step 2 Calculate angles

Step 3 Vertically opposite angles

Step 4 Angles in a triangle

Step 5 Angles in a triangle – special cases

Step 6 Angles in a triangle – missing angles

Step 7 Angles in a quadrilateral

Step 8 Angles in polygons

Step 9 Circles

Step 10 Draw shapes accurately

Step 11 Nets of 3-D shapes

Pupils should be taught to: