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Further Mathematics Support Programme
MEI 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
MEI S1 – Scheme of Work Template - 2016-2017
Topic
Specification statements
Suggested Integral Resources
Exploring data:
Frequency
distributions and
measures of spread
 Know how to find median,
mean, mode and midrange.
 Know the usefulness of each
of the above measures of
central tendency.
 Know how to find range,
percentiles, quartiles and
interquartile range.
 Know how to calculate and
interpret mean squared
deviation, root mean
squared deviation, variance
and standard deviation.
 Be able to use the statistical
functions of a calculator to
find mean, root mean square
deviation and standard
deviation.
 Know how the mean and
standard deviation are
affected by linear coding.
► MEI_S1
/ ► Exploring data
/ ► Exploring data 1:
Introduction
 Notes and examples
Assessment
(Integral
Resources)
 Section Test E1
► MEI_S1
/ ► Exploring data
/ ► Exploring data 2:
Frequency distributions
 Notes and examples
 Section Test E2
Exploring data:
Frequency
distributions and
measures of
spread
Making statistics
vital: World-wide
statistics
Making statistics
vital: Cricketing
MMM
nrich: Stats
statements
Making statistics
vital: Do we divide
by n or n-1?
Making statistics
vital: Spot the error
 Section Test E3
► MEI_S1
/ ► Exploring data
/ ► Exploring data 4: Linear
coding
 Linear coding puzzle
Other resources
Making statistics
vital: Measures of
spread
► MEI_S1
/ ► Exploring data
/ ► Exploring data 3:
Measures of spread
 Statistical measures teaching
activities
 Calculating measures of
spread (PowerPoint)
Live Interactive
Lecture
 Section Test E4
Making statistics
vital: Coding
spreadsheet
► MEI_S1
/ ► Exploring data
Data presentation
 Know how to display discrete
data using a vertical line
chart.
 Know how to display and
interpret a cumulative
frequency distribution.
 Know how to display
continuous data using a
histogram for both unequal
and equal class intervals.
 Know how to classify
frequency distributions
showing skewness.
 Understand the term outlier.
► MEI_S1
/ ► Data presentation
/ ► Data presentation 1:
Displaying data
 Statistical diagrams teaching
activities
 Histograms, mean and
standard deviation
(Geogebra)
 Know how to calculate the
probability of one event.
 Understand the concept of a
complementary event and
know that the probability of
an event may be found by
finding that of its
complementary event.
► MEI_S1
/ ► Probability
/ ► Probability 1: Introduction
 Probability teaching activities
 Venn diagrams matching
activity
 Additional exercise
► MEI_S1
Making statistics
vital: Histogram cutup
Making statistics
vital: Quartiles for a
small data set
Making statistics
vital: A small sample
 Section Test D1
► MEI_S1
/ ► Data presentation
/ ► Data presentation 2:
Measures of spread
 Boxplots and outliers
(Geogebra)
Probability
 Exploring data topic assessment
Data
presentation
Making statistics
vital: Outlier tester
 Section Test D2
► MEI_S1
/ ► Data presentation
 Data presentation topic assessment
Probability
Making statistics
vital: Balls in a box
Making statistics
vital: The Colin and
Phil problem
 Section Test P1
Making statistics
vital: The two
dominoes
 Know how to draw sample
space diagrams to help
calculate probabilities.
 Know how to calculate the
expected frequency of an
event given its probability.
 Understand the concepts of
mutually exclusive events
and independent events.
 Know to add probabilities for
mutually exclusive events.
 Know to multiply
probabilities for independent
events.
 Know how to use tree
diagrams to assist in the
calculation of probabilities.
 Know how to calculate
probabilities for two events
which are not mutually
exclusive.
 Be able to use Venn diagrams
to help calculations of
probabilities for up to three
events.
 Know how to calculate
conditional probabilities by
formula, from tree diagrams
or sample space diagrams.
 Know that P(B|A) = P(B) ⇔ B
and A are independent.
/ ► Probability
/ ► Probability 2: Probability
from two or more trials
 Additional exercise
Making statistics
vital: Random
independence
 Section Test P2
Making statistics
vital: Biased dice
independence
► MEI_S1
/ ► Probability
/ ► Probability 3: Conditional
probability
 Conditional probability
teaching activities
 Probability matching activity
 Probability hexagonal jigsaw
 Venn diagrams matching
activity
 Venn diagrams worksheet
 Additional exercise
Making statistics
vital: The
independent school
 Section Test P3
► MEI_S1
/ ► Probability
 Probability topic assessment
Discrete random
variables
Further probability:
Permutations and
combinations
The binomial
distribution
 Be able to use probability
functions, given algebraically
or in tables.
 Be able to calculate the
numerical probabilities for a
simple distribution.
 Be able to calculate the
expectation (mean), E(X ), in
simple cases and understand
its meaning.
 Be able to calculate the
variance, Var(X), in simple
cases.
 Know that nCr is the number
of ways of selecting r objects
from n.
 Know that n! is the number
of ways of arranging n
objects in line.
 Recognise situations which
give rise to a binomial
distribution.
MEI_S1
/ ► Discrete random variables
/ ► Discrete random variables
1: Introduction
 Additional exercise
Discrete random
variables
Making statistics
vital: DRVs from a
bag
 Section Test R1
Making statistics
vital: Double or add
► MEI_S1
/ ► Discrete random variables
/ ► Discrete random variables
2: Expectation and variance
 Discrete random variables 1
(PowerPoint)
 Discrete random variables 2
(PowerPoint)
 Additional exercise
► MEI_S1
/ ► Further probability
/ ► Further probability 1:
Factorials, permutations and
combinations
 Notes and examples
 Additional exercise
► MEI_S1
/ ► The binomial distribution
nrich: Data matching
Making statistics
vital: DRV Venn
diagram
Making statistics
vital: The four-sided
dice
 Section Test R2
► MEI_S1
/ ► Discrete random variables
 Discrete random variables topic assessment
Further
probability:
Permutations and
combinations
 Section Test F1
► MEI_S1
/ ► Further probability
 Further probability topic assessment
The binomial
distribution
Making statistics
vital: Most likely
value
 Be able to identify the
binomial parameter p, the
probability of success.
 Be able to calculate
probabilities using the
binomial distribution.
 Understand and apply mean
= np.
 Be able to calculate the
expected frequencies of the
various possible outcomes
from a series of binomial
trials.
Hypothesis testing
 Understand the process of
hypothesis testing and the
associated vocabulary.
 Be able to identify Null and
Alternative Hypotheses (H0
and H1) when setting up a
hypothesis test on a binomial
probability model.
 Be able to conduct
hypothesis tests at various
levels of significance.
 Be able to identify the critical
and acceptance regions.
 Be able to draw a correct
conclusion from the results
of a hypothesis test on a
binomial probability model.
/ ► The binomial distribution
1: Introduction
 Binomial probabilities
teaching activities
 Additional exercise
Making statistics
vital: The binomial
mean and variance
 Section Test B1
► MEI_S1
/ ► The binomial distribution
/ ► The binomial distribution
2: Using the binomial
distribution
 Binomial puzzle
 Additional exercise
► MEI_S1
/ ► Hypothesis testing
/ ► Hypothesis testing 1:
Introduction
 Additional exercise
Making statistics
vital: Binomial
reverse
 Section Test B2
► MEI_S1
/ ► The binomial distribution
 The binomial distribution topic assessment
Hypothesis
Making statistics
testing
vital: Significance
levels
 Section Test H1
► MEI_S1
/ ► Hypothesis testing
/ ► Hypothesis testing 2: More
about hypothesis testing
 Hypothesis testing using the
binomial distribution
(Geogebra)
 Additional exercise
 Section Test H2
 Understand when to apply 1tail and 2- tail tests.
► MEI_S1
/ ► Hypothesis testing
 Hypothesis testing topic assessment
Consolidation and
revision
FMSP - Revision
Videos
The study plans available on Integral Resources refer to the 3rd edition MEI S1 textbook (ISBN 9780340813997). Other textbooks covering this course may
be available, and Integral Mathematics Resources does not endorse any particular set of textbooks.