Maths

### Explore more subjects

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 way we learn is based on:

• 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.

## ** **Aims as mathematicians…

• 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.

## End of Year Expectations

### Foundation Stage

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

### Year 1

• 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.

### Year 2

• 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.
• 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.

### Year 3

• 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.
• 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.

### Year 4

• 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.
• 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.

### Year 5

• 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.
• 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.

### Year 6

• 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.