Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure...

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Changes to the Mathematics Curriculum

Transcript of Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure...

Page 1: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Changes to the Mathematics Curriculum

Page 2: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

AimsThe national Curriculum for mathematics aims to ensure that all pupils;

Become fluent in the fundamentals of mathematics, including through varied and frequent practise 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.

Page 3: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Have good mental ability in mathematics.

• Rapid recall of addition subtraction facts.

• Rapid recall of multiplication and division facts.

Fact families 3+4=7 3x5=15 4+3=7 5x3=15 7-3=4 15÷5=3 7-4=3 15÷3=5

Page 4: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Be an independent problem solver

• Identifying the problem.• Choosing a starting place.• Use efficient methods.• Make links between aspects of learning.• Communicate thinking effectively.• Recognise that there may be multiple

possibilities and exhausts them.• Learn from mistakes and correct chosen path.

Page 5: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

What’s new?

• Vocabulary – glossary on the website.• End of year expectations have been altered -end

of year expectations on the website.• A return to the ‘old fashioned’ ways – calculation

policy on the website.• Higher expectations from a younger age.

• Programmes of study published for year groups but assessment is ‘by the end of key stage’.

Page 6: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Reception

EYFS curriculum was revised in 2012 raising expectations for children in meeting the Early Learning Goals.

Number Count reliably with numbers from 0-20. Place numbers 0-20 in order Say which number is one more or less than a given number. Using quantities and objects add or subtract two single digits. Count on or back to find an answer. Understand the term double, halve and share – solve problems involving these. Shape, space and measure Use everyday language to talk about size, weight, capacity, position, distance, time and money. Compare quantities and objects to solve problems. Recognise, describe and create patterns. Explore characteristics of everyday objects and shapes. Use mathematical language to describe them.

Page 7: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Year 1What’s gone? What’s been added?

• Data handling/Statistics is removed from Y1

• No specific requirement to describe patterns

• No specific requirements to describe ways of solving problems or explain choices

• Counting & writing numerals to 100 • Write numbers in words up to 20 • Number bonds secured to 20 • Use of vocabulary such as equal, more

than, less than, fewer, etc. • Recording number sentences +-=

Essentially:Children need to be confident with counting, understanding the number system and how it works. Understand place value.

Page 8: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Year 2 (from September 2015)

What’s gone? What’s been added?

Rounding two-digit numbers to the nearest 10 Halving/doubling no longer explicitly required Using lists/tables/diagrams to sort objects

Solving problems with subtraction Finding/writing fractions of quantities (and lengths) Adding two 2-digit numbers Adding three 1-digit numbers Demonstrating commutativity of addition & multiplication Describing properties of shape (e.g. edges, vertices) Measuring temperature in °C Tell time to nearest 5 minutes Make comparisons using < > = symbols Recognise £

Essentially:Confidently adding and subtracting mentally. Sound understanding of multiplication in preparation for learning all tables. Beginning to learn formal addition and subtraction methods.

Page 9: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Year 3What’s gone? What’s been added?

Specific detail of problem-solving strategies (although the requirement to solve problems remains) Rounding to nearest 10/100 moves to Year 4 Reflective symmetry moves to Year 4 Converting between metric units moves to Year 4 No requirement to use Carroll/Venn diagrams

Adding tens or hundreds to 3-digit numbers Formal written methods for addition/subtraction 8 times tables replaces 6 times tables (!) Counting in tenths Comparing, ordering, adding & subtracting fractions with common denominators Identifying angles larger than/smaller than right angles Identify horizontal, vertical, parallel andperpendicular lines Tell time to the nearest minute, including 24-hour clock and using Roman numerals Know the number of seconds in a minute and the number of days in each month, year and leap year

Essentially:Formal methods for addition and subtraction. Fractions! Telling the time.

Page 10: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Year 4What’s gone? What’s been added?

Specific detail on lines of enquiry, representing problems and find strategies to solve problems and explainingmethods (i.e. largely from old Ma1) Using mixed numbers (moved to Y5) Most ratio work moved to Y6 Written division methods (moved to Y5) All calculator skills removed from KS2 PoS Measuring angles in degrees (moved to Y5)

Solving problems with fractions and decimals to two decimal places Rounding decimals to whole numbers Roman numerals to 100 Recognising equivalent fractions Knowing equivalent decimals to common fractions Dividing by 10 and 100 (incl. with decimal answers) Using factor pairs Translation of shapes Finding perimeter/area of compound shapes Solve time conversion problems

Essentially:Fractions and decimals! Times tables to 12x12. Formal methods for multiplication and division.

Page 11: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Year 5What’s gone? What’s been added?

Detail of problem-solving process and data handlingcycle no longer required Calculator skills moved to KS3 Probability moves to KS3

Several elements are now expected to be covered in lower KS2, e.g. decimals/fractions knowledge, points in the first quadrant; parallel/perpendicular lines

Understand & use decimals to 3dp Solve problems using up to 3dp, and fractions Write %ages as fractions; fractions as decimals Use vocabulary of primes, prime factors, composite numbers, etc. Know prime numbers to 20 Understand square and cube numbers Use standard multiplication & division methods for up to 4 digits add and subtract fractions with the same denominator multiply proper fractions and mixed numbers by whole numbers deduce facts based on shape knowledge distinguish regular and irregular polygons calculate the mean average

Essentially:Formal written methods for all operations. Relationships between whole numbers and fractions.

Page 12: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Year 6 (from September 2015)

What’s gone? What’s been added?

Detail of problem-solving processes no longer explicit Divisibility tests Calculator skills move to KS3 PoS Rotation moves to KS3 Probability moves to KS3 Median/Mode/Range no longer required

Compare and ordering fractions greater than 1 Long division 4 operations with fractions Calculate decimal equivalent of fractions Understand & use order of operations Plot points in all 4 quadrants Convert between miles and kilometres Name radius/diameter and know relationship Use formulae for area/volume of shapes Calculate area of triangles & parallelograms Calculate volume of 3-d shapes Use letters to represent unknowns (algebra) Generate and describe linear sequences Find solutions to unknowns in problems

Essentially:Formulae. Algebra.

Page 13: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Formal assessmentRemains at the end of Key stages 1 and 2.

Key stage 1• Teacher assessment against end of key stage expectations. • New assessment materials are in draft form now. • Test administered internally.

Key stage 2• Externally marked test against end of key stage expectations.• Three papers covering range of areas (equivalent of combining the current

level 3-5 papers with level 6 paper)

How these are reported is still to be finalised by the DFE.

Page 14: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

What does this mean for my child?

ST James has an excellent record in teaching and learning in mathematics.For 2014 • 100% of children achieved level 4.• 80% of children achieved level 5.• 24% of children achieved level 6.Significantly above national average.High expectations will remain.High levels of teaching will remain.Reporting arrangements will be different.

Page 15: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

How can I help my child?

• Have a positive view of mathematics.• Be a model mathematician.• Help them make links.• Help them find starting places in problem

solving.• Allow them to get things wrong.• Encourage explanations.• Help them learn facts.

Page 16: Changes to the Mathematics Curriculum. Aims The national Curriculum for mathematics aims to ensure that all pupils; Become fluent in the fundamentals.

Play games

Snakes and ladders – “what will you land on?”• Use 0-9 dice• Use 2 dice add together to work out your

move.• Play backwards for subtractionCards• 21• Make up your own games.