Download Word - The Further Mathematics Support Programme

Further Mathematics Support Programme
Edexcel S1 – Scheme of Work Template - 2016-2017
This template is part of a series designed to assist with planning and delivery of further mathematics courses.
It shows how Integral Resources and Live Interactive Lectures can be used to support students and teachers.
Integral
Resources
Integral
Resources
Live Interactive
Lectures
Teacher-level access to the Integral Resources (integralmaths.org/) for
Further Pure and Applied units is available free of charge to all
schools/colleges that register with the Further Mathematics Support
Programme: www.furthermaths.org.uk/
Student-level access to the Integral Resources and the Live Interactive
Lectures for Further Mathematics is available at a moderate cost via:
www.furthermaths.org.uk/lilfm
Integral Resources include a wide range of resources for both teacher and student use in learning and assessment. A selection of these are suggested in the
template below. Sample resources are available via: http://integralmaths.org/help/info.php.
Live Interactive Lectures are available for individual Further Pure and Applied units and take place in the spring and autumn terms. LIL FM is ideal for
schools/colleges teaching Further Mathematics with small groups and/or limited time allocation. It is also useful to support less experienced teachers of
Further Mathematics. See www.furthermaths.org.uk/lilfm
Scheduling will depend on circumstances, but the template below breaks the module down into 7 sections which may be allocated approximately equal
time. Each section corresponds to one Live Interactive Lecture (LIL) and these take place fortnightly to supplement the teaching and tutorial support in
schools/colleges and students' own independent study. FMSP Area Coordinators will be able to offer additional guidance if needed. See
www.furthermaths.org.uk/regions
Edexcel S1 – Scheme of Work Template - 2016-2017
Topic
Specification statements
Suggested Integral Resources
Working with data
 Histograms, stem and leaf
diagrams, box plots.
 Measures of location —
mean, median, mode.
 Measures of dispersion —
variance, standard deviation,
range and inter-percentile
ranges.
 Skewness. Concepts of
outliers.
► Edexcel_S1
/ ► Working with data
/ ► Working with data 1:
Summarising sample data
(location)
 Notes and examples
Assessment
(Integral
Resources)
► Edexcel_S1
► Working with data
/ ► Working with data 3:
Representing data
Other resources
Working with
data
nrich: Stats
statements
Making statistics
vital: Histogram cutup
 Section Test W1
► Edexcel_S1
/ ► Working with data
/ ► Working with data 2:
Summarising sample data
(dispersion)
 Statistical measures teaching
activities
 Histograms, mean and
standard deviation
(Geogebra)
 Boxplots and outliers
(Geogebra)
 Linear coding puzzle
 Variance and standard
deviation (PowerPoint)
Live Interactive
Lecture
 Section Test W2
 Statistical diagrams teaching
activities
 Histograms, mean and
standard deviation
(Geogebra)
 Boxplots and outliers
(Geogebra)
 Linear coding puzzle
 Variance and standard
deviation (PowerPoint)
 Section Test W3
► Edexcel_S1
/ ► Working with data
Probability 1:
Introduction
 Elementary probability.
 Sample space.
 Conditional probability.
► Edexcel_S1
/ ► Probability
► Probability 1: Introducing
probability
 Probability teaching activities
 Venn diagrams matching
activity
 Additional exercise
 Working with data topic assessment
Probability 1:
Introduction
Making statistics
vital: The Colin and
Phil problem
 Section Test P1
► Edexcel_S1
/ ► Probability
/ ► Probability 2: Conditional
probability
 Conditional probability
teaching activities
 Probability hexagonal jigsaw
 Venn diagrams
 Additional exercise
Making statistics
vital: Balls in a box
 Section Test P2
Making statistics
vital: The two
dominoes
Probability 2:
Independent and
mutually exclusive
events
 Exclusive and
complementary events.
 Independence of two events.
 Sum and product laws.
► Edexcel_S1
/ ► Probability
/ ► Probability 3: Independent
and mutually exclusive events
Probability 2:
Independent and
mutually
exclusive events
Making statistics
vital: Biased dice
independence
 Probability matching activity
 Additional exercise
Making statistics
vital: The
independent school
 Section Test P3
► Edexcel_S1
/ ► Probability
Discrete random
variables 1:
Introduction
Discrete random
variables 2:
Functions of
random variables
• The concept of a discrete
random variable.
 The probability function and
the cumulative distribution
function for a discrete
random variable.
 Mean and variance of a
discrete random variable.
 Mean and variance of a
discrete random variable.
 The discrete uniform
distribution.
Edexcel_S1
/ ► Discrete random variables
/ ► Discrete random variables
1: Introduction
 Additional exercise
 Probability topic assessment
Discrete random
variables 1:
Introduction
nrich: Data matching
Making statistics
vital: DRVs from a
bag
 Section Test D1
Making statistics
vital: DRV Venn
diagram
► Edexcel_S1
/ ► Discrete random variables
/ ► Discrete random variables
2: Expectation and variance
 Discrete random variables 1
(PowerPoint)
 Discrete random variables 2
(PowerPoint)
 Additional exercise
► Edexcel_S1
/ ► Discrete random variables
Making statistics
vital: Random
independence
Making statistics
vital: The four-sided
dice
 Section Test D2
Discrete random
variables 2:
Functions of
random variables
Making statistics
vital: Double or add
/ ► Discrete random variables
3: Functions of random
variables
 Notes and examples
Correlation and
regression
 Scatter diagrams. Linear
regression.
 Explanatory (independent)
and response (dependent)
variables. Applications and
interpretations.
 The product moment
correlation coefficient, its
use, interpretation and
limitations.
► Edexcel_S1
/ ► Correlation and regression
/ ► Correlation and regression
1: Correlation
 Correlation (Geogebra)
 Correlation match
 Additional exercise
 The Normal distribution
including the mean, variance
and use of tables of the
cumulative distribution
function.
 Discrete random variables topic assessment
Correlation and
Making statistics
regression
vital: Ten point
PMCC
Making statistics
vital: Residuals
 Section Test C1
► Edexcel_S1
/ ► Correlation and regression
/ ► Correlation and regression
2: Regression
 Regression (Geogebra)
 Regression matching activity
 Additional exercise
The normal
distribution
 Section Test D2
► Edexcel_S1
/ ► Discrete random variables
► Edexcel_S1
/ ► The normal distribution
/ ► The normal distribution 1:
Introduction
 Section Test C2
► Edexcel_S1
/ ► Correlation and regression
 Correlation and regression topic assessment
The normal
Making statistics
distribution
vital: The coffee
problem
nrich: Into the
normal distribution
 The normal distribution
(Geogebra)
 Normal curves matching
activity (easier)
 Normal curves matching
activity (more challenging)
 Correlation match
 Additional exercise
Consolidation and
revision
 Section Test N1
► Edexcel_S1
/ ► The normal distribution
 The normal distribution topic assessment
FMSP - Revision
Videos
ExamSolutions –
Edexcel S1 Past
Papers
The study plans available on Integral Resources refer to Edexcel AS and A Level Modular Mathematics - Statistics 1 (ISBN 9780435519124). Other textbooks
covering this course may be available, and Integral Mathematics Resources does not endorse any particular set of textbooks.