year 9 gcse mathematics presentation...

Mr Young

Head of Mathematics

Year 9 GCSE Mathematics Presentation Evening

Wednesday 3rd December 2014

Year 9 GCSE Mathematics

Presentation Evening

• Pisa league tables

• Government changes

• New GCSE content

• New exam papers

Outline of Presentation



• 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.

Pisa League Tables (Programme for International Student Assessment )



• 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.

Government Response



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.

• New GCSE in Maths from September 2015

(first exam June 2017).

• New A levels in Maths from September

2016.

Government Changes



The leaflet shows you the new content

that will be tested in the GCSE exams.

New GCSE in Mathematics



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)



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



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

• Paper 1 Non – Calculator 100 marks

• Paper 2 Calculator 100 marks

Both papers are 1 hour and 45 minutes

Old GCSE Exam Papers



• Paper 1 Non-Calculator 80 marks



All papers are 1 hour and 30 minutes

New GCSE Exam Papers



The next slides show formulae that now

need to be memorised by pupils.

Formulae



In Any Triangle ABC

A B

C

b a

c

Sine Rule 𝒂

𝐬𝐢𝐧 𝑨 =

𝒃

𝐬𝐢𝐧 𝑩=

𝒄

𝐬𝐢𝐧 𝑪

Cosine Rule a² = b² + c² - 2bc cos A

Area of Triangle = 𝟏

𝟐 ab sin C





The Quadratic Equation

The solutions of ax² + bx + c = 0

where a ≠ 0, are given by:

𝑥 =−𝑏 ± (𝑏2−4𝑎𝑐)

2𝑎

Area of Trapezium = 𝟏

𝟐 (a + b)h

a

b

h



• 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.

Other Information



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.

GCSEs: New English

Language 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.

GCSEs: New English

Literature Subject Content



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