ESSENTIAL MATHEMATICS FOR TEACHING
Each course will be 12 weeks:



Week 1 Induction
Week 2-11 Teaching
Week 12 Examinations
Induction for mathematics will be on Monday 3rd April from 5:30 until 7:30.
Weeks 2 – 11
Mathematics Monday 5:30 – 7:30
Tutor: Catherine Moss
Week 12
Mathematics Examination 3:00 – 5:00 Monday 24th July
Examination results will be available in September following an Examination Board.
ESSENTIAL MATHEMATICS FOR TEACHING
OVERVIEW
All students require a scientific calculator. Mobile phones with calculators are not
recommended as these cannot be used in examinations.
A pre-requisite of the course is that students already have a GCSE grade C; students need to
be confident and competent at this level before starting the course; the course does not reteach mathematical techniques up to GCSE grade C.
It is recommended that students complete past GCSE papers (available at examination board
websites) and study a higher tier GCSE revision guide prior to beginning the module (available
in all good book stores).
The course also includes directed study; topics set are examinable and may be required to
support theory in lectures.
Pre course students must be able to:
1
2
4
5
6
7
8
9
10
Complete multiplication, division, addition and subtraction of fractions
Apply the rules of arithmetic, BODMAS or BIDMAS
Calculate with numbers in standard form
Explain transformation operations; rotate, reflect, enlarge, transpose
Name polygons with up to 8 sides and calculate their internal angles
Recognise simple sequences of numbers such as prime numbers, square
numbers, cube numbers
Calculate area and perimeter of triangles, quadrilaterals and circles
Simplify algebraic expressions such as: 4t – 5t = -t, m x m = m2
Plot/draw and interpret, line graphs, bar charts, pie charts, tabular data
INDICATIVE TIMETABLE
All students require a scientific calculator. (Mobile phones with calculators cannot be
used in examinations.)
A pre-requisite of the course is that students already have a GCSE grade C; students
need to be confident and competent at this level before starting the course. The
course does not re-teach mathematical techniques up to GCSE grade C (content
highlighted in yellow).
It is recommended that students complete past GCSE papers (available at
examination board websites) and study a higher tier GCSE revision guide prior to
beginning the module.
DATE
Wk 1
3rd April
TIME
5.30-7.30
ROOM
City
Campus,
D03
City
Campus,
E07
Wk 2
8th May
5.30-7.30
Wk 3
15th May
5.30-7.30
Wk 4
22nd May
5.30-7.30
Wk 5
5th June
5.30-7.30
City
Campus,
D01
Wk 6
12th June
5.30-7.30
Wk 7
19th June
5.30-7.30
City
Campus,
D01
City
Campus,
D01
City
Campus,
E07
City
Campus,
E07
TOPIC
Induction
Statistics:
Plot/draw and interpret: line graphs, bar charts, pie
charts, tabular data.
Measures of central tendency
 What data and why?
 Bias and limitations
 Frequency distribution
 Visual representation of data: distribution
curves, boxplots
 Measures of spread 1: IQR
 Measures of spread 2: standard deviation
 Scatter graphs, correlation and regression
 Making predictions (simple probability)
 Assignment planning
Space and Shape:
Calculate area and perimeter of triangles,
quadrilaterals and circles.
 Area, perimeter and volume
 Angles of polygons
 Pythagoras’ Theorem
 Trigonometric ratios
 Sine and Cosine rules
 Coordinate geometry
Algebraic Methods 1:
Complete multiplication, division, addition and
subtraction or fractions.
Apply the rules of arithmetic, BIDMAS/BODMAS
Simplify algebraic expressions such as 4t – 5t = -t,
m x m = m2
 Substitution, simplification, factorising,
expanding brackets
 Rearranging formulae
 Linear equations
Wk 8
26th June
5.30-7.30
Wk 9
3rd July
5.30-7.30
Wk 10
10th July
5.30-7.30
Wk 11
17th July
5.30-7.30
City
Calculate with numbers in standard form.
Campus, Recognise simple sequences of numbers such as
D01
prime numbers, square numbers, cube numbers.
 Surds
 Rules of indices
 Factorisation of quadratics (including special
cases)
Algebraic Methods 2:
City
Campus,
 Surds
D01
 Rationalising denominators
 Rearranging formulae
 Solving quadratic equations (factorising,
using quadratic equation)
City
 Completing the square to solve quadratic
Campus,
equations
D01
 Roots of quadratic and cubic equations linked
to graphical representations.
 Finding approximate solutions graphically
 Sequences and finding the nth term
City
 Consolidation of nth term
Campus,
 Cubic equations and polynomial long division
D01
 Solving simultaneous equations
If there is time Introduction to Calculus:
 Differentiation and integration
TBC
Examination week
Wk 12
3pm
24th July
**Submission Date for the Statistics Assignment – 6th June 2017, 5:30pm
Assignment Feedback – 26th June 2017
No lesson 29th May (Bank Holiday)
ASSIGNMENT
Statistics assignment 2,500 word equivalent, 50% of the overall mark for the module.
The assessment will focus on stratification of secondary data, setting of aims, measures of
central tendency and dispersion, visually representing data, and discussion and drawing of
conclusions.
EXAMINATION
Closed book examination, 2 hours duration, 50% of the overall mark for the module.