# Mathematics

## How much curriculum time is given to Maths in KS2?

Pupils have 6 hours of maths each week. They are taught in their mixed-ability tutor groups. At Edwinstree we teach maths using manipulatives, pictures, diagrams and abstract calculations through problem-solving and reasoning. Challenge Home Learning enables pupils to select key skills that need additional practise to work on at home.

# What topics is my child covering in the Autumn Term?

## Year 5 learn to:

- Read, write, order and compare numbers to one million, understanding the value of each digit and being able to count forwards and back from any number in tens, hundreds, thousands, ten-thousands or hundred-thousands.
- Interpret negative numbers in context and move along a number line crossing zero from positive to negative numbers and vice versa.
- Round numbers up to one million to the nearest ten, hundred, thousand, ten-thousand or hundred-thousand.
- Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.
- Add and subtract numbers mentally with increasingly large numbers.
- Add and subtract whole numbers with more than 4 digits, including using columnar addition and subtraction.
- Use rounding to check answers to calculations and determine, within the context of a problem, the level of accuracy.
- Solve addition and subtraction multi-step problems in contexts deciding which operations and methods to use and why.
- Multiply and divide numbers mentally, drawing upon known facts.
- Multiply and divide whole numbers by 10, 100 and 1000.
- Multiply numbers up to 4 digits by one or two digit numbers using a formal written method, including long multiplication for 2 digit numbers.
- Divide numbers up to 4 digits by a one digit number using the formal written method of short division and interpret remainders appropriately for the context.
- Identify multiples and factors, including finding all factor pairs of a number and common factors of two numbers.
- Recognise and use square and cube numbers and notations for squared and cubed.
- Solve problems involving all of the skills and knowledge above, including the use of the equals sign.

## Year 6 learn to:

- 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.
- Solve addition and subtraction multi step problems in contexts, deciding which operations and methods to use and why.
- Multiply multi-digit number up to 4 digits by a 2 digit number using the formal written method of long multiplication.
- 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.
- Divide numbers up to 4 digits by a 2 digit number using the formal written method of short division, interpreting remainders according to 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 problems involving addition, subtraction, multiplication and division.
- Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.
- Compare and order fractions, including fractions > 1
- Generate and describe linear number sequences (with fractions)
- Add and subtract fractions with different denominations 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/ 2 = 1/ 8]
- Divide proper fractions by whole numbers [for example 1/ 3 ÷ 2 = 1/ 6]
- Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example 3/8]
- Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

### If you would like to support our work on place value, number and calculations the following activities and resources may be helpful:

- The maths passports for Place Value and Number and Calculations include lots of useful tools and examples.
- My Mini Maths website has Back to Basics calculations by year group along with themed calculations. TT38 helps with learning times-table facts. There are 52 arithmetic papers here along with a tracking sheet to record progress.
- BBC Bitesize have useful explanations and examples.
- Youtube have some great videos by maths teachers on how to calculate using Base ten or Cuisenaire.
- Power of 2 books and resources can be purchased from their website 123 Learning.
- Play games that encourage exchanging ten items for one other, we like the Exchange Game.
- Nice or Nasty? Is a dice game which supports the understanding of the value of each digit in large numbers.
- Playing games, such as darts, Monopoly, Scrabble where scores must be calculated – pupils should do this mentally.
- Topmarks website have some good problem-solving and reasoning questions.
- Maths is Fun website has lots of different games to be played on the computer developing logic, number, calculations etc.

# How much curriculum time is given to Maths in KS3?

- Pupils in Y7 have 5 hours of maths each week. Pupils in Y8 have 4 hours each week. They are taught in their mixed-ability tutor groups. At Edwinstree we teach maths using manipulatives, pictures, diagrams and abstract calculations through problem-solving and reasoning. Challenge Home Learning enables pupils to select key skills that need additional practise to work on at home.
- What topics is my child covering in the Autumn Term?

## Year 7 learn to:

- Understand and use place value for decimals, measures and integers of any size.
- Order positive and negative integers, use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥
- Round numbers and measures to an appropriate degree of accuracy [for example, to a number of decimal places or significant figures]
- Use formal written methods for addition and subtraction of integers and decimals.
- Recognise and use relationships between addition and subtraction including inverse operations.
- Calculate and solve problems involving perimeter.
- Multiply and divide by 10, 100 and 1000
- Use formal written methods for multiplication and division of integers and decimals.
- Recognise and use relationships between operations including inverse operations.
- Understand the order of operations.
- Use the concepts and vocabulary of prime numbers, factors (or divisors), common factors and highest common factor (HCF).
- Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations.
- Find the prime factor decomposition of a number.
- Calculate and solve problems involving area of rectangles, triangles and parallelograms.
- Calculate the mean average.
- Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a<x≤b

## Year 8 learn to:

Revise and improve:

- Four operations
- Order of operations
- Negative numbers
- Fractions
- Algebra
- Multiply and divide proper and improper fractions and mixed numbers both positive and negative:

Fraction x Integer

Fraction x Fraction

Fraction ÷ Integer

Integer ÷ Fraction

Fraction ÷ Fraction*All of the above proper, improper, mixed, positive and negative.* - Find a fraction of an amount.
- Find the whole amount, given a fraction of the amount.
- Find a fractional increase and decrease.
- Define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100%. This should include:
- Define percentage as ‘number of parts per hundred’
- Interpret diagrams as percentages and vice versa
- Interpret percentages as a fraction or as a decimal
- Express one quantity as a percentage of another
- Compare two quantities using percentages, and work with percentages greater than 100% E.g Claire got 16 out of 20 on a test, Simon got 21 out of 25 on a test. Who got the better score?
- Interpret percentages as operators, with and without a calculator.
- Solve problems involving percentage change, including: Percentage increase, decrease and original value problems and simple interest in financial mathematics.

### If you would like to support our work on place value, number and calculations the following activities and resources may be helpful:

- The maths passports for Place Value and Number, Calculations and Fractions, Decimals and Percentages include lots of useful tools and examples.
- My Mini Maths website has Back to Basics calculations by year group along with themed calculations. TT38 helps with learning times-table facts. There are 52 arithmetic papers here along with a tracking sheet to record progress.
- BBC Bitesize have useful explanations and examples.
- Youtube have some great videos by maths teachers on how to calculate using Base ten or Cuisenaire and how to represent multiplication and division of fractions using a pictorial method.
- Power of 2 books and resources can be purchased from their website 123 Learning.
- Play games that encourage exchanging ten items for one other, we like the Exchange Game.
- Nice or Nasty? Is a dice game which supports the understanding of the value of each digit in large numbers.
- Playing games, such as darts, Monopoly, Scrabble where scores must be calculated – pupils should do this mentally.
- Topmarks website have some good problem-solving and reasoning questions.
- Maths is Fun website has lots of different games to be played on the computer developing logic, number, calculations, fractions etc.
- Dara O’Briain’s School of Hard Sums on Dave have some great mathematical problems – we like the Chocolate-Chilli Roulette – beware of occasional inappropriate language.