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# Maths

HOW WE TEACH MATHS

At SDPS every class has a daily maths lesson for approximately one hour. However, teachers plan in opportunities to use maths skills in other subjects such as science, geography and design technology. The school uses a mastery approach to maths where skills are used to solve mathematical problems and investigations.

Inspire Maths has now been introduced throughout Key Stages 1 and 2. Alongside Inspire, the school uses White Rose, NCETM and other materials to ensure depth for  a mastery approach to teaching maths. Inspire is based on the leading Singapore scheme "My Pals" which has contributed significantly to Singapore moving into second place behind China in the world rankings for maths.  In Key Stages 1 and 2 there are weekly times tables challenges to develop quick fire knowledge. In 2018 an inter-house times tables competition is being held to further encourage children to develop and embed their tables knowledge.

## Activities to do at home

The materials below this text are from Oxford Owl Maths and are free for parents to access. These resources are designed to support you with your children’s maths throughout their primary years. You'll find a whole host of activities, simple ideas and top tips to help your child at home.

Playing games are a great way to improve the confidence of your child in maths. It is a great way to consolidate knowledge learnt in the classroom.

## Year 1

 MATHS       Year 1       Programme of study (Key objectives) NUMBER Number and place value Addition and subtraction Multiplication and division Fractions Pupils should be taught to: Count forwards and backwards across 100.   Count in multiples of twos, fives and tens.   Identify "one more" and "one less".   Read and write numbers from 1 to 20 in numerals and words. Use number bonds and subtraction facts within 20.   Add and subtract 1-digit and 2-digit numbers to 20, including zero Solve missing number problems such as 7 = – 9. Solve problems using objects, pictures and arrays Recognise, find and name a half.   Recognise, find and name a quarter. MEASUREMENT   Pupils should be taught to: Measure and begin to record length, mass, volume and time (and solve related problems).   Recognise and know the value of all coins and notes. Use language to sequence events in chronological order. Recognise and use language relating to dates (days of the week, weeks, months and years).   Tell the time to the half-hour, including drawing clocks. GEOMETRY Properties of shapes Position and direction Pupils should be taught to: Recognise and name: 2-D shapes (e.g. rectangles, squares, circles and triangles) 3-D shapes (e.g. cuboids, cubes, pyramids and spheres). Know whole, half, quarter and three-quarter turns.

Year 2

MATHS       Year 2       Programme of study (statutory requirements)

NUMBER

Number and place value

Multiplication and division

Fractions

Pupils should be taught to:

Count in steps of 2s, 3s and 5s, and steps of 10

Recognise place value in two-digit numbers

Compare and order numbers up to 100 using <, > and =

Recall and use number addition/subtraction facts to 20, and derive related facts

Add and subtract one- and two-digit numbers

TU+U, TU+T, TU+TU and U+U+U

Know 2×, 5× and 10× tables

Recognise odd & even numbers

Calculate mathematical statements using x and ÷ symbols

Recognise, find, name and write 1/3, 1/4, 1/2 and 3/4 of size, shape or quantity

Write simple fraction facts, e.g. 1/2 of 6 = 3

MEASUREMENT

Pupils should be taught to:

Combine amounts of money to make a value, including using £ and p symbols.

Tell the time to the nearest 5 minutes, including drawing clocks.

Know the number of minutes in an hour and the number of hours in a day.

GEOMETRY

Properties of shapes

Position and direction

Pupils should be taught to:

Describe properties of 2-D shapes, including number of sides and symmetry.

Describe properties of 3-D shapes, including number of edges, vertices and faces .

Arrange combinations of objects in patterns and sequences.

Distinguish between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise).

 STATISTICS Pupils should be taught  to:

Interpret and construct simple tables, tally charts and pictograms.

Year 3

MATHS       Year 3       Programme of study (statutory requirements)

NUMBER

Number and place value

Multiplication and division

Fractions

Pupils should be taught to:

Count in multiples of 4, 8, 50 and 100.

Compare and order numbers up to 1000.

Add and subtract numbers mentally, including round numbers to HTU.

Add and subtract using standard column method.

Know 3×, 4× and 8× tables.

Multiply and divide TU by U, using mental and progressing to formal written methods.

Count up and down in tenths.

Compare and order simple fractions.

Recognise and show equivalent fractions.

Find and write fractions of a set of objects.

Add and subtract fractions with common denominators.

MEASUREMENT

Pupils should be taught to:

Measure, compare and calculate measures using standard units.

Measure the perimeter of simple 2-D shapes.

Add and subtract money, including giving change.

Tell and write the time from an analogue clock, including using Roman numerals.

Estimate and read time to the nearest minute

Know the number of seconds in a minute and the number of days in each month, year and leap year.

GEOMETRY

Properties of shapes

Pupils should be taught to:

Identify horizontal, vertical, parallel and perpendicular lines.

Identify whether angles are greater or less than a right angle.

 STATISTICS Pupils should be taught to:

Interpret and present data using bar charts, pictograms and tables.

Year 4

MATHS    Year 4      Programme of study (statutory requirements)

NUMBER

Number and place value

Multiplication and division

Fractions (including decimals and percentages)

Pupils should be taught to:

Count backwards through zero, including negative numbers.

Recognise place value in four-digit numbers.

Round any number to the nearest 10, 100 or 1000.

Add and subtract numbers with up to 4 digits using column method.

Know tables up to 12 ×12.

Use factor pairs in mental calculations.

Multiply TUxU and HTUxU using short multiplication method.

Recognise and use hundredths.

Recognise and write decimal equivalents to ¼, ½ and ¾.

Divide one- or two-digit numbers by 10 and 100, using tenths and hundredths.

Round decimals with one decimal place to the nearest whole number.

Compare numbers up to two decimal places

MEASUREMENT

Pupils should be taught to:

Convert between different units of metric measurement, including money.

Find the area of rectilinear shapes (straight edges) by counting squares.

Convert time between analogue and digital 12- and 24-hour clocks.

Convert from hours to minutes; minutes to seconds; years to months; weeks to days.

GEOMETRY

Properties of shapes

Position and direction

Pupils should be taught to:

Complete a simple symmetric figure with respect to a specific line of symmetry.

Describe positions on a 2-D grid using co-ordinates.

Describe translations using a given unit to the left/right and up/down.

 STATISTICS Pupils should be taught to:

Interpret and present discrete and continuous data on appropriate graphs.

YEAR 5

MATHS               Year 5                   Programme of study (statutory requirements)

NUMBER

Number and place value

Pupils should be taught to:

Interpret negative numbers in context.

Read Roman numerals to 1000, including years.

Add and subtract numbers with more than 4 digits using column method.

NUMBER

Multiplication and division

Fractions (including decimals and percentages)

Pupils should be taught to:

By the end of Year 4: Know tables up to

12 ×12.

Identify multiples and factors, including finding factor pairs and common factors.

Know prime numbers up to 19.

Multiply and divide numbers by 10, 100 or 1000, including decimals.

Use long multiplication for multiplying numbers of up to 4 digits by one or two digits.

Recognise and use square and cube numbers, and know the notation.

Divide numbers using standard written short division.

Convert between mixed numbers and improper fractions.

Compare and order fractions.

Identify equivalent fractions.

Multiply proper fractions and mixed numbers.

Read and write decimal numbers as fractions.

Round decimals with 2 decimals places.

MEASUREMENT

Pupils should be taught to:

Understand and use common approximate conversions between metric and imperial.

Measure and calculate perimeters.

Calculate the area of rectangles, and estimate the area of irregular shapes.

GEOMETRY

Properties of shapes

Position and direction

Pupils should be taught to:

Use the properties of rectangles to find missing lengths and angles.

Know angles are measured in degrees and compare acute, obtuse and reflex angles.

Draw and measure angles to the nearest degree.

Identify angles at a point, in a turn and on a straight line.

Describe and represent the result of a reflection or translation.

 STATISTICS Pupils should be taught to:

Complete, read and interpret information in tables, including timetables.

Year 6

MATHS                  Year 6                       Programme of study (statutory requirements)

NUMBER

Number and place value

Pupils should be taught to:

Use negative numbers to calculate intervals across zero.

NUMBER

 Fractions (including decimals and percentages)

Pupils should be taught to:

By the end of Year 4: Know tables up to 12 ×12.

Multiply 4 digit numbers by a two-digit whole number.

Multiply a number with up to two decimal places by whole numbers.

Divide numbers using long division, including remainders an

Use order of operations (BIDMAS) to carry out calculations. Decimals to 2 places.

Identify common factors, common multiples and prime numbers.

Use common factors to simplify fractions.

Compare and order fractions of any size.

Add and subtract fractions with different denominators and mixed numbers.

Multiply simple pairs of proper fractions.

Divide proper fractions by whole numbers.

Calculate percentages.

Calculate equivalence between fractions, decimals and percentages

RATIO AND PROPORTION

Pupils should be taught to:

Solve problems involving similar shapes where the scale factor is known.

Solve problems involving unequal sharing and grouping.

 ALGEBRA Pupils should be taught to:

Express missing number problems algebraically.

Use simple formulae expressed in words.

Generate and describe linear number sequences.

 MEASUREMENT Pupils should be taught to:

Convert between miles and kilometres.

Calculate the area of parallelograms and triangles.

Calculate and compare volume of cubes and cuboids.

STATISTICS

Pupils should be taught to:

Construct and interpret pie charts.

Calculate the mean as an average.

GEOMETRY

Properties of shapes

Position and direction

Pupils should be taught to:

Illustrate and name parts of a circle.

Finding missing angles in triangles, quadrilaterals and regular polygons.

Recognise vertically opposite angles and find missing angles.

Describe positions on the full co-ordinate grid (all four quadrants).

Translate shapes on a co-ordinate grid and reflect in the axes.

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