Maths

Through a rich diet of fluency, reasoning and problem solving on a daily basis, overall, children will learn to understand and clarify information; consider what they know that will help them to solve problems; organise information in a way that helps find patterns and solutions; investigate open ended challenges and to communicate and present their findings effectively. Children will expect and welcome challenges which push them to deepen their learning at all levels.

**‘The Big 5’** is a set of key Mathematical principles and concepts and it underpins the teaching of Mathematics at Kippax North. They are:

- Numerical reasoning
- Classification
- Equivalence
- Place Value
- Estimation

- the use of concrete, pictorial and abstract methods
- fluency
- reasoning and problem solving questions
- a variety of questions that help children to progress to understanding with greater depth
- where links can be made across units, we will endeavour to do so, in order to create a mathematics curriculum which is not compartmentalised.

- An understanding of the important concepts and an ability to make connections within mathematics.
- A broad range of skills in using and applying mathematics.
- Fluent knowledge and recall of number facts and the number system.
- The ability to show initiative in solving problems in a wide range of contexts, including the new or unusual.
- The ability to think independently and to persevere when faced with challenges, showing a confidence of success.
- The ability to embrace the value of learning from mistakes and false starts.
- The ability to reason, generalise and make sense of solutions.
- Fluency in performing written and mental calculations and mathematical techniques.
- A wide range of mathematical vocabulary.
- A commitment to and passion for the subject.

- Count reliably to 20.
- Order numbers 1 – 20.
- Say 1 more/1 less to 20.
- Add & subtract two single digit numbers.

- Count to & across 100, forwards & backwards from any number.
- Read & write numbers to 20 in digits & words.
- Read & write numbers to 100 in digits.
- Say 1 more/1 less to 100.
- Count in multiples of 1, 2, 5 & 10.
- Know bonds to 10 by heart.
- Use bonds & subtraction facts to 20.
- **Add & subtract **1 digit & 2 digit numbers to 20, including zero.
- Add any three 1-digit numbers with a total up to 20.
- Solve simple addition & division with apparatus & arrays.
- Recognise half and quarter of object, shape or quantity.
- Sequence events in order.
- Use language of day, week, month and year.
- Tell time to hour & half past.

- Compare & order numbers up to 100.
- Read & write all numbers to 100 in digits & words.
- Say 10 more/less than any number to 100.
- Count in multiples of 2, 3 & 5 & 10 from any number up to 100.
- Recall & use multiplication & division facts for 2, 5 & 10 tables.
- Recall & use +/- facts to 20.
- Derive & use related facts to 100.
- Recognise place value of any 2-digit number.
- Add & subtract:
- 2-digit numbers & ones
- 2-digit numbers & tens
- Two 2-digit numbers
- Three 1-digit numbers

- Recognise & use inverse (+/-).
- Calculate & write multiplication & division calculations using multiplication tables.
- Recognise & use inverse (x/÷).
- Recognise, find, name & write 1/3; 1/4; 2/4; 3/4.
- Recognise equivalence of simple fractions.
- Tell time to five minutes, including quarter past/to.

- Compare & order numbers up to 1000.
- Read & write all numbers to 1000 in digits & words.
- Find 10 or 100 more/less than a given number.
- Count from 0 in multiples of 4, 8, 50 & 100.
- Recall & use multiplication & division facts for 3, 4, 8 tables.
- Recognise place value of any 3-digit number.
- Add & subtract:
- 3-digit numbers & ones
- 3-digit numbers & tens
- 3-digit numbers & hundreds

- Numbers with up to 3-digits using efficient written method (column).
- Use inverse to check.

- Multiply 2-digit by 1-digit
- Count up/down in tenths.
- Compare & order fractions with same denominator.
- Add and subtract fractions with same denominator with whole.
- Know pairs of fractions that total 1.
- Tell time using 12 and 24 hour clocks; and using roman numerals.
- Tell time to nearest minute.
- Know number of days in each month.

- Count backwards through zero to include negative numbers.
- Compare & order numbers beyond 1000.
- Compare & order numbers with 2 decimal places.
- Read Roman numerals to 100.
- Find 1000 more/less than a given number.
- Count in multiples of 6, 7, 9, 25 & 1000.
- Recall & use multiplication & division facts all tables to 12x12.
- Recognise place value of any 4-digit number.
- Round any number to the nearest 10, 100 or 1000.
- Round decimals with 1 decimal place to nearest whole number.
- Add & subtract:
- Numbers with up to 4-digits using efficient . written method (column).
- Numbers with up to 1 decimal place.

- Multiply 2-digit by 1-digit, 3-digit by 1-digit
- Divide 3-digit by 1-digit
- Count up/down in hundredths.
- Write equivalent fractions
- Add and subtract fractions with same denominator.
- Read, write & convert time between analogue & digital 12 & 24 hour clocks.

- Count forwards & backward with positive & negative numbers through zero.
- Count forwards/backwards in steps of powers of 10 for any given number up to 1000000.
- Compare & order numbers with 3 decimal places.
- Read Roman numerals to 1000.
- Identify all multiples & factors, including finding all factor pairs.
- Use known tables to derive other number facts.
- Recall prime numbers up to 19.
- Recognise place value of any number up to 1000000.
- Round any number up to 1000000 to the nearest 10, 100, 1000, 10000 or 100000.
- Round decimals with 2 decimal places to nearest whole number & 1decimal place.
- Add & subtract:
- Numbers with more than 4-digits using efficient . written method (column).
- Numbers with up to 2 decimal places.

- Multiply 4-digits by 1-digit/ 2-digit
- Divide 4-digits by 1-digit
- Multiply & divide Whole numbers & decimals by 10, 100 & 1000
- Count up/down in thousandths.
- Recognise mixed numbers & fractions & convert from one to another.
- Multiply proper fractions by whole numbers.
- Solve time problems using timetables and converting between different units of time.

- Read and write numbers to 10,000,000.
- Round any number to any degree of accuracy.
- Add and subtract negative integers.
- Use tables to work with decimals (to 1 decimal place).
- Multiply 4-digit whole numbers by 2-digit whole numbers.
- Divide numbers up to 4-digits by a 2-digit whole numbers and recognise remainders.
- Multiply and divide decimalsby 10, 100 or 1000 in their head.
- Multiply and divide a number with up to two decimal places by 1-digit and 2-digit whole numbers.
- Work out simple % of whole numbers.
- Use ratio to show the relative sizes of two quantities.