Transcript Maths Curriculum - Haslingfield School

Maths Curriculum
Aims:
• How is the new curriculum different?
• What happens in each year group?
• What can I do as a parent to support
my child?
The New Curriculum aims:
• become fluent in the fundamentals of mathematics, including
through varied and frequent practice with increasingly complex
problems over time, so that pupils develop conceptual
understanding and the ability to recall and apply knowledge rapidly
and accurately
• reason mathematically by following a line of enquiry, conjecturing
relationships and generalisations, and developing an argument,
justification or proof using mathematical language
• can solve problems by applying their mathematics to a variety of
routine and non-routine problems with increasing sophistication,
including breaking down problems into a series of simpler steps and
persevering in seeking solutions
Aims of the new curriculum
Problem
solving
Fluency
Reasoning
Foundation stage
•
•
•
•
Counting with objects
Reading and writing numbers
Adding and subtracting with objects
Writing addition and subtraction number
sentences with support
• Identify and create repeated patterns
• Identify and construct with basic 2D shapes
Year 1
• Number & Place value:
• Read and write numbers up to 100 as digits
• Count forwards and backwards from any number including past 100
• Count in 2s, 5s and 10s
• Find 1 more/less
• Recognise that the digit 5 in 54 has a different value than 5 in 504.
Calculations:
• Use +, - and = symbols to write number calculations
Fractions:
• Understand ½ and ¼ to explain parts of an object & counting objects
Measurements & Shape – see the parental guide
Year 2
Number and Place Value
• Recognise place value in 2 digit numbers
• Read & write numbers to 100 as words
• Count in steps of 2s, 3s, 5s
• Compare and order numbers up to 100
• Use the < symbol to represent relative sizes
Calculations
• Recall number bonds up to 20 fluently
• Add & subtract numbers mentally and using objects, including 2 digit numbers
• Adding is commutative but subtraction is not
• Adding and subtraction are inverse operations
• Learn and recall multiplication facts and related division facts for 2x, 5x, 10x tables
• Multiplication is commutative but division is not.
• Solve word problems involving X and ÷
Fractions
Find ¼, ½ and ¾ of an object or set of objects e.g. find ½ of 6
Measurements , Shape & Graphs and Data – see booklet
End of Key Stage 1 tests
• Arithmetic test (15 questions)
Eg. 3 + 7
65 +
= 93
8 x 10
¾ of 40
• Reasoning test (lasts around 35minutes but not timed)
Eg. Sita puts 2 shoes in each of these 7 boxes.
How many are there altogether?
Year 3
Number and Place Value
• Count in multiples of 4, 8, 50 and 100
• Recognise the place value of digits in 3 digit numbers
• Read and write numbers to 1000 using digits and words
• Compare and order numbers to 1000
Calculations
• Add and subtract numbers mentally, including + 1, 10, 100 to 3 digit
• Use the standard column method for addition and subtraction (up to 3 digits)
• Estimate the answers to calculations and use the inverse to check
• Learn 3x, 4x, 8x tables and related division facts.
• Solve problems involving multiplication and division involving 2 digits.
Fractions
• Understand and use tenths, including counting in tenths
• Recognise and show equivalent fractions with small denominators
• Add and subtract simple fractions where the total will be less than a whole
eg. ⅛ + ⅜
• Sequence simple fractions into size order
Measurements , Shape & Graphs and Data – see booklet
Year 4
Number and Place Value
• Count in multiples of 6, 7, 9, 25 and 1000
• Count backwards including negative numbers
• Recognise the place value of digits in 4 digit numbers
• Read Roman numerals up to 100
• Order numbers, including those >100
• Round any number to the nearest 10, 100, 1000
Calculations
• Use standard method of column addition and subtraction for
values up to 4 digits
• Solve 2-step problems involving addition and subtraction
• Know multiplication and division facts up to 12 x 12 = 144
• Use knowledge of place value, multiplication facts to solve larger
calculations
• Use factor pairs to solve mental calculations eg 9 x 7 = 3 x 3 x 7
• Use the standard short multiplication (3 digit x 2 digit)
Year 4 continued
Fractions
• Use hundredths including counting in hundredths
• Add and subtract fractions with the same denominator – total
may be over whole. eg. ⅝ + ⅞ = 12/8
• Convert tenths and hundredths into the decimal equivalent.
• Recognise the decimal equivalents of 1/4 , ½, and ¾
• Divide 1 and 2 digit numbers by 10 or 100 to give decimal
answer.
• Round decimals to nearest whole number
• Compare the size of numbers with up to 2 decimal places.
Measurements , Shape & Graphs and Data – see booklet
Year 5
Number and Place Value
• Recognise and use the place value of digits in numbers up to 1
million
• Use negative numbers, including in contexts such as temperature
• Round any number to nearest 10,100, 1000, 10,000 & 100,000
• Read Roman numerals including years
Calculations
• Addition and subtraction with numbers > 4 digits
• Use rounding to estimate calculations and check answers are of
reasonable size
• Find factors of numbers, including common factors of 2 numbers
• Know prime numbers up to 19 by heart and find primes up to 100
• Use standard methods for long multiplication and short division
• Multiply and divide numbers mentally by 10, 100 or 1000
• Recognise and use square numbers and cube numbers
Fractions
Year 5 continued
• Order fractions with the same denominator
• Find equivalent fractions
• Convert between improper fractions and mixed number
fractions
• Add and subtract simple fractions with related denominators
Eg 2/3 + 1/6
• Convert decimals to fractions e.g. 0.71 = 71/100
• Round decimals to nearest tenth
• Compare the size of numbers with up to 3 decimal places.
• Begin to use % symbol to relate to the ‘number of parts per
hundered’
Measurements , Shape & Position & Graphs and Data – see booklet
Year 6
Number and Place Value
• Work with numbers up to ten million, including negative
numbers
• Round any number to any required number of digits or
magnitude
Calculations
• Use standard methods for long multiplication (4 digit by 2
digit)
• Use standard methods for long division (4 digit by 2 digit)
• Find common factors, common multiples and prime numbers
• Carry out complex calculations according to the mathematical
order of operations (BIDMAS or BODMAS)
• Solve complex problems using all 4 operations.
Year 6 continued
Fractions
•
•
•
•
•
•
Use common factors to simplify fractions
Add fractions with different denominators
Place a group of fractions in order
Multiply pairs of fractions together
Divide fractions by whole numbers e.g. ⅓ ÷ 2
Use division to calculate the decimal equivalent
of a fraction
• Know and use common equivalences between
fractions, decimals and percentages.
Measurements , Shape & Position & Graphs and Data – see booklet
Year 6 continued
Ratio & proportion
• Find % of quantities e.g. 15% or 45%
• Use ratio to explain relationships and solve problems
• Use simple scale factors for drawings, shapes and diagrams
Algebra
• Use simple formulae
• Describe sequences of numbers where the increase between
values is the same
• Solve missing number problems using algebra
• Find possible solutions to problems with two variables such
as: a + b = 10
Measurements , Shape & Position & Graphs and Data – see
booklet
End of Key Stage 2 tests
• Arithmetic paper: 30 minutes to answer between 30-40 questions!
Eg. 979 + 100 =
48 ÷ 6 =
2331 – 37
¾ + ⅞ =
• Paper 1 & 2: mathematical reasoning (30 mins, 40 marks)
Eg. A pack of paper has 150 sheets. 4 children each take 7 sheets. How many sheets
of paper are left in the pack?
One gram of gold costs £32.94. What is the cost of half a kilogram of gold?
Mathletics
• A website to support the aims of the new
curriculum
• Used in class and at home
• Homework set using it from Y1 upwards
• Recognised across the world as a fantastic
resource to support especially the fluency and
speed of recall.
• Children will be given/ have been given logins
and are excited about the resource.
Other ideas…
• Conker maths – KIRFs
• Maths at home ideas
• Positive talk at home about maths
Thank you
• Any questions, please don’t hesitate to speak
to your child’s class teacher.
• Alternatively you can always contact me via
the school office.