Year 9 GCSE Mathematics
Presentation Evening
Mr Young
Head of Mathematics
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Outline of Presentation
• Pisa league tables
• Government changes
• New GCSE content
• New exam papers
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Pisa League Tables
(Programme for International Student Assessment )
• International tests in Maths, Reading and Science.
• Tests are taken by 500,000 15 year old pupils in 65
countries and local administrations.
• They are run every three years by the Organisation
for Economic Co-operation and Development.
• In the UK, more than 12,000 pupils took the tests in
2012.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Government Response
•
Michael Gove said that since the 1990s, test
performances had been "at best stagnant, at
worst declining".
•
Shanghai's Maths score is the equivalent of three
years' schooling above the PISA average.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Government Changes
New GCSE specifications in Mathematics should enable
pupils to:
• Develop fluent knowledge, skills and understanding of
mathematical methods and concepts.
• Acquire, select and apply mathematical techniques to solve
problems.
• Reason mathematically, make deductions and inferences
and draw conclusions.
• Comprehend, interpret and communicate mathematical
information in a variety of forms appropriate to the
information and context.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Government Changes
• New GCSE in Maths from September 2015
(first exam June 2017).
• New A levels in Maths from September
2016.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
New GCSE in Mathematics
The leaflet shows you the new content
that will be tested in the GCSE exams.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
New Skills Assessed at Foundation and Higher
• Find the equation of a line through two points or through one point with given
gradient.
• Recognise and use sequences of triangular, square and cube numbers,
Fibonacci type sequences, quadratic sequences and geometric sequences.
• Calculate compound measures including pressure in numerical and algebraic
contexts.
• Express a multiplicative relationship between two quantities as a ratio or a
fraction.
• Write a ratio as a linear function.
• Set up, solve and interpret growth and decay problems.
• Use inequality notation to specify error intervals due to rounding.
• Understand the ≠ symbol (not equal).
• Use the standard convention for labelling sides and angles of polygons.
• Derive the sum of angles in a triangle.
• Know the exact values of sin, cos and tan at key angles (0, 30, 45, 60, 90
degrees).
• Use Venn diagrams.
• Consider outliers when calculating the range of a distribution.
• Know that correlation does not imply causation.
Know the exact values of sin, cos and tan
at key angles (0, 30, 45, 60, 90 degrees)
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
New Skills Assessed at Higher Only
• Recognise and use the equation of a circle centred at the origin.
• Find the equation of a tangent to a circle at a given point, using the fact that it
is perpendicular to the radius.
• Find approximate solutions using iteration.
• Solve quadratic inequalities.
• Find the nth term of a quadratic sequence.
• Recognise and use geometric sequences where the common ratio may be a
surd.
• Apply the concepts of instantaneous and average rates of a change by
looking at the gradients of tangents and chords to a curve.
• Prove the circle theorems.
• Use the probability “AND” and “OR” rules.
• Change recurring decimals into their corresponding fractions and vice versa.
• Find inverse and composite functions.
• Locate turning points of quadratic functions by completing the square.
• Sketch y = tan x (in addition to sin and cos).
• Interpret areas under graphs and gradients of graphs in real-life contexts (e.g.
recognise that the area under a velocity-time graph represents displacement.
Find Inverse and Composite Functions
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Find Inverse and Composite Functions
If f(x) = 4x + 5 and g(x) = x² – 4 find g(f(x))
g(f(x)) = (4x + 5)² - 4
g(f(x)) = 16x² + 40x + 25 – 4
g(f(x)) = 16x² + 40x + 21
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Old GCSE Exam Papers
• Paper 1 Non – Calculator 100 marks
• Paper 2 Calculator 100 marks
Both papers are 1 hour and 45 minutes
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
New GCSE Exam Papers
• Paper 1 Non-Calculator 80 marks
• Paper 2 Calculator
80 marks
• Paper 3 Calculator
80 marks
All papers are 1 hour and 30 minutes
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Formulae
The next slides show formulae that now
need to be memorised by pupils.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
In Any Triangle ABC
C
a
b
A
B
c
Sine Rule
𝒂
𝐬𝐢𝐧 𝑨
Cosine Rule
a² = b² + c² - 2bc cos A
Area of Triangle
=
𝟏
𝟐
=
𝒃
𝐬𝐢𝐧 𝑩
=
ab sin C
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
𝒄
𝐬𝐢𝐧 𝑪
The Quadratic Equation
The solutions of ax² + bx + c = 0
where a ≠ 0, are given by:
−𝑏 ± (𝑏 2 −4𝑎𝑐)
𝑥=
2𝑎
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
Area of Trapezium =
a
h
b
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
𝟏
𝟐
(a + b)h
Other Information
•
Pupils will also study the new style GCSE in English
Language and English Literature.
•
Grade system will change 1-9 for English and
Maths, and A*-G for all other subjects.
•
Grade 7 will be the equivalent of a grade A,
grade 8 an A*. It is expected that a grade 9 will
be the top 20% of all those pupils who achieve a
grade 7 or 8.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
GCSEs: New English
Language Subject Content
New GCSE English Language
• Will encourage pupils to read a greater range of high quality, challenging
literature and non-fiction texts from a range of genres and types (from the
19th, 20th and 21st centuries).
• Reading and writing will be equally weighted.
• Will have a greater focus on making sure that pupils are able to write clearly
and accurately, in good standard English. There will be an increased
emphasis on spelling, punctuation and grammar including the use of
vocabulary.
• Tiers will be removed which means that specifications and question papers will
have to cover the full range of abilities.
• Speaking and Listening will be assessed through endorsement (this change is
being introduced to exams from summer 2014). There will be a bigger
emphasis on teaching pupils to become more confident in formal speaking.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014
GCSEs: New English
Literature Subject Content
• Will encourage pupils to read a wide range of classic literature
fluently with the assessment of a 19th century novel, a Shakespeare
play, a selection of poetry since 1789 including representative
romantic poems, and British fiction or drama from 1914 onwards.
• Tiers will be removed which means that specifications and question
papers will have to cover the full range of abilities.
• There will be increased assessment of unseen texts.
• The quality of writing in the response to texts will be assessed.
Year 9 GCSE Mathematics
Presentation Evening
Wednesday 3rd December 2014