Word - The Further Mathematics Support Programme

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Further Mathematics Support Programme
AQA 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
AQA S1 – Scheme of Work Template - 2016-2017
Topic
Specification statements
Suggested Integral Resources
Numerical
measures
 Standard deviation and
variance calculated on
ungrouped and grouped
data.
 Linear scaling.
 Choice of numerical
measures.
► AQA_S1
/ ► Numerical measures
/ ► Numerical measures 1:
Mean, median and mode
 Notes and examples
Assessment
(Integral
Resources)
Live Interactive
Lecture
Other resources
Numerical
measures
Making statistics
vital: World-wide
statistics
 Section Test M1
► AQA_S1
/ ► Numerical measures
/ ► Numerical measures 2:
Measures of spread
Making statistics
vital: Cricketing
MMM
Making statistics
vital: Quartiles for a
small data set
 Statistical measures teaching
activities
 Histograms, mean and
standard deviation
(Geogebra)
 Boxplots and outliers
(Geogebra)
 Linear coding puzzle
 Variance and standard
deviation (PowerPoint)
Making statistics
vital: A small sample
nrich: Stats
statements
Making statistics
vital: Spot the error
Making statistics
vital: Outlier tester
 Section Test M2
► AQA_S1
/ ► Numerical measures
 Numerical measures topic assessment
Making statistics
vital: Coding
spreadsheet
Probability 1:
Introduction and
tree diagrams
 Elementary probability; the
concept of a random event
and its probability.
 Addition law of probability.
 Mutually exclusive events
► AQA_S1
/ ► Probability
/ ► Probability 1: Introduction
 Probability teaching activities
 Venn diagrams matching
activity
 Additional exercise
Probability 1:
Introduction and
tree diagrams
Making statistics
vital: The Colin and
Phil problem
 Section Test P1
Making statistics
vital: The two
dominoes
► AQA_S1
/ ► Probability
/ ► Probability 2: Tree
diagrams
Probability 2:
Conditional
probability
The binomial
distribution
 Multiplication law of
probability and conditional
probability.
 Independent events.
 Application of probability
laws.
 Discrete random variables.
 Conditions for application of
a binomial distribution.
 Calculation of probabilities
using formula.
 Use of tables.
 Additional exercise
► AQA_S1
/ ► Probability
/ ► Probability 3: Conditional
probability
 Conditional probability
teaching activities
 Probability matching activity
 Probability hexagonal jigsaw
 Venn diagrams worksheet
 Additional exercise
► AQA_S1
/ ► The binomial distribution
/ ► The binomial distribution
1: Introduction
Making statistics
vital: Balls in a box
 Section Test P2
Probability 2:
Conditional
probability
Making statistics
vital: Random
independence
Making statistics
vital: Biased dice
independence
 Section Test P3
► AQA_S1
/ ► Probability
 Probability topic assessment
The binomial
distribution
Making statistics
vital: The
independent school
Making statistics
vital: Most likely
value
 Mean, variance and standard
deviation of a binomial
distribution.
 Binomial probabilities
teaching activities
 Additional exercise
 Section Test B1
► AQA_S1
/ ► The binomial distribution
/ ► The binomial distribution
2: Using the binomial
distribution
 Binomial puzzle
 Additional exercise
The normal
distribution
 Continuous random
variables.
 Properties of normal
distributions.
 Calculation of probabilities.
 Mean, variance and standard
deviation of a normal
distribution.
► AQA_S1
/ ► The normal distribution
/ ► The normal distribution 1:
Introduction
 The normal distribution
(Geogebra)
 Normal curves matching
activity (easier)
 Normal curves matching
activity (more challenging)
 Additional exercise
Making statistics
vital: Binomial
reverse
 Section Test B2
► AQA_S1
/ ► The binomial distribution
 The binomial distribution topic assessment
The normal
nrich: Into the
distribution
normal distribution
Making statistics
vital: The coffee
problem
 Section Test N1
► AQA_S1
/ ► The normal distribution
/ ► The normal distribution 2:
Percentage points
 Additional exercise
Making statistics
vital: The binomial
mean and variance
 Section Test N2
► AQA_S1
/ ► The normal distribution
Estimation
Correlation and
regression
 Population and sample.
 Unbiased estimators of a
population mean and
variance.
 The sampling distribution of
the mean of a random
sample from a normal
distribution.
 A normal distribution as an
approximation to the
sampling distribution of the
mean of a large sample from
any distribution.
 Confidence intervals for the
mean of a normal
distribution with known
variance.
 Confidence intervals for the
mean of a distribution using
a normal approximation.
 Inferences from confidence
intervals.
► AQA_S1
/ ► Estimation
/ ► Estimation 1: Confidence
intervals
 Calculation and
interpretation of the product
moment correlation
coefficient
 Identification of response
(dependent) and explanatory
► AQA_S1
/ ► Correlation and
regression
/ ► Correlation and
regression 1: Correlation
 The normal distribution topic assessment
Estimation
nrich: Aim high
 Confidence intervals
teaching activities
 Confidence intervals
(Geogebra)
 Section Test E1
► AQA_S1
/ ► Estimation
 Correlation (Geogebra)
 Estimation topic assessment
Correlation and
regression
Making statistics
vital: Ten point
PMCC
Making statistics
vital: Residuals




Consolidation and
revision
(independent) variables in
regression.
Calculation of least squares
regression lines with one
explanatory variable.
Scatter diagrams and
drawing a regression line
thereon.
Calculation of residuals.
Linear scaling.
 Correlation match
 Additional exercise
 Section Test C1
► AQA_S1
/ ► Correlation and
regression
/ ► Correlation and
regression 2: Regression
 Regression (Geogebra)
 Regression matching activity
 Additional exercise
 Section Test C2
► AQA_S1
/ ► Correlation and regression
 Correlation and regression topic assessment
FMSP - Revision
Videos
The study plans available on Integral Resources refer to Advancing Maths for AQA: Statistics 1 (ISBN 9780435513382) and Advanced Maths for AQA:
Statistics S1 (ISBN 9780199149377). Other textbooks covering this course may be available, and Integral Mathematics Resources does not endorse any
particular set of textbooks.

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