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What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. [email protected] [email protected] www.themathszone.co.uk www.themathszone.com

What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. [email protected] [email protected]

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Page 1: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

What's new in the new NC? Doing hard maths at

key stage 3 is what makes it interesting. 

[email protected]@themathszone.co.ukwww.themathszone.co.ukwww.themathszone.com

Page 2: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

What Craig Barton says:

The new maths curriculum – in detail• There is an increased level of challenge around the theory of 

number – achieved by introducing prime numbers and surds in KS3. (ed. Surds are not there!)

• You’ll find increased requirements for algebra, geometry and measures and ratios, proportion and rates of change – the three pillars for calculus at post-16 level.

• There are raised expectations for achievement in probability.• Financial education has been reinforced with a focus on solving 

problems involving percentage increases and decreases, simple interest and repeated growth

Page 3: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

What’s New KS3? (CJO)

Aims: (i) fluent (ii) reason mathematically (iii) solve problems appreciate the infinite nature of the sets of integers, real and rational 

numbers expanding products of two or more binomials  model situations or procedures by translating them into algebraic 

expressions or formulae … including piece-wise linear recognise arithmetic sequences and … geometric sequences interpret mathematical relationships both algebraically and geometrically enumerate sets and unions/intersections of sets systematically, using 

tables, grids and Venn diagrams

Page 4: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

What’s New KS4? (CJO)Aims: (i) fluent (ii) reason mathematically (iii) solve problems

set up appropriate algorithms and iterative procedures understand and use algebraic arguments, relying on the multiplicative structure of 

number. understand and use mathematical arguments model simple contextual and subject-based problems algebraically identify and interpret gradients, roots, intercepts, turning points graphically and 

numerically  solve velocity and acceleration problems … velocity/time graphs, and mechanics 

problems, such as those involving  collisions and momentum.  solve growth and decay problems, such as financial mathematics problems with 

compound interest use iterative methods to solve problems such as loan repayment  understand and use the concepts of instantaneous and average rate of change in 

graphical representations (chords and tangents), including with velocity and acceleration calculate conditional probabilities … Venn diagrams describe relationships in bivariate data … interpolate and extrapolate trends.

Page 5: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

Fluency: Target Maths

Page 6: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

Fluency Algebra

Computer Algebra Systems

Page 7: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

Reasoning: Proof

Page 8: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

Solve Problems

Page 9: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk
Page 10: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

GCSE Examination

How have the exam boards chosen to interpret it? • No steps in questions. • No direct arithmetic or algebraic manipulation. 

• All questions involve some problem solving. • Only linear exams … a frown to early entry• …therefore much harder. 

Page 11: What's new in the new NC? Doing hard maths at key stage 3 is what makes it interesting. chris.olley@kcl.ac.uk chris@themathszone.co.uk

Change  Rest

What changes are you working on as a department to take account of: • the new NC for KS3 NOW• the move to the KS4 new NC for first exams in 2017