Level
Mathematical
Studies
2 year
Route Map
GCSE3
Mathematics
Linear
Route Map
– Foundation
Tier
Common content: Common content:
analysis of data
Critical analysis
Number
Topic
Algebra
Topic
Common content:
maths for personal
finance
Geometry &
Measures
Topic
Statistics
Topic
OR
Optional content:
Statistical
Techniques
ICT skills
Common content:
Estimation
OR
Optional content:
Critical Path and
Risk Analysis
GCSE F Tier
revision
Optional content:
Graphical
Techniques
GCSE H Tier
revision
Level 3 Mathematical Studies 2 year Route Map
Year 12
OCTOBER
SEPTEMBER
Wk1
Introduction
to
spreadsheets
Wk2
Wk3
Types of
Data
Collecting
Data
Wk4
Numerical
Calculations
NOVEMBER
Wk11
Representing
data
numerically 1
Wk5
Wk6
Percentages
Wk12
Wk13
Wk14
Holiday
Wk15
Interest Rates
Representing data
diagrammatically 1
Wk22
Wk23
Optional content Topic 1 – (select one from
the right)
Wk24
Holiday
Wk16
Wk32
Holiday
REVISION
AND END OF
YEAR
EXAMS
Fermi
Estimation
Holiday
Wk18
Wk33
Wk34
Similarity and Pythagoras
Theorem
Equation of a
straight line
Surface area and
similarity
Wk43
Wk44
Representing
data
numerically 1
Wk20
Collecting and Sampling
Data
MARCH
Wk25
Wk26
Wk27
Wk28
Wk29
Solution to financial problems
Review and recap 1
Wk35
Analyse Critically 1
Wk36
Wk30
Perimeter,
Circumference
and Area
JUNE
Wk37
REVISION
AND END OF
YEAR
EXAMS
Wk38
Holiday
Wk39
Wk40
REVISION AND END OF
YEAR EXAMIANTIONS
JULY
Wk42
Wk10
Wk19
MAY
JUNE
Wk41
Wk17
Holiday
APRIL
Wk31
Wk9
JANUARY
FEBRUARY
Wk21
Wk8
DECEMBER
JANUARY
Holiday
Wk7
NOVEMBER
Wk45
Project work: Analysis of Data or
Personal Finance
Year 13
Level 3 Mathematical Studies 2 year Route Map
Year 13
OCTOBER
SEPTEMBER
Wk1
Wk2
Wk3
Review and recap 2
Wk4
Representing data
diagrammatically 2
Wk12
Wk13
Wk14
Optional content Topic 2 –
(select one from the right)
JANUARY
Graphical
representation
Wk22
Review and
recap 4
Wk15
Review and
recap 3
Wk16
Wk23
Holiday
Wk32
Wk33
Wk24
Wk25
Holiday
Wk26
Wk27
Optional content Topic 3 – (select one from
the right)
Wk34
Wk35
Graphical
representation
Option Topic
2
Wk18
Wk19
Repayments and credit
Wk28
Wk43
Wk44
Wk20
Taxation:
Value added
tax (VAT)
Wk29
Taxation: Income tax and National
Insurance
Wk36
Wk45
Wk30
Holiday
JUNE
Wk37
Wk38
Holiday
JULY
Wk42
Wk10
MARCH
REVISION
Analyse Critically 3
Year 12
Holiday
Wk9
MAY
JUNE
Wk41
Wk17
Holiday
APRIL
Wk31
Wk8
JANUARY
FEBRUARY
Wk21
Holiday
Wk7
DECEMBER
Analyse Critically 2
Limits of
accuracy
Wk6
Representing data
numerically 1
NOVEMBER
Wk11
Wk5
NOVEMBER
Wk39
REVISION
Wk40
Introduction to Spreadsheets (Slide 1 of 2)
Continued
on next
page
Subject content:
Online resources:
It is expected that spreadsheets and tables
will be used throughout the teaching and
learning of this Mathematical Studies
specification.
Anthropometric Data - Nuffield Foundation
Spreadsheet formulae will include:
“=A1+A2+A3” to sum values in cells
“=2*B3” to multiply a value in a given cell
“=SUM(A1:A10)”
DISCUSS Regression and Correlation - Nuffield Foundation
Pay rates for men and women - Nuffield Foundation
Stature - Nuffield Foundation
Climate Prediction - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
Test Run - Nuffield Foundation
Ozone Holes - Nuffield Foundation
Savings Growth - Nuffield Foundation
Election Results 2005 and 2010
Health Data - Nuffield Foundation
substituting numerical values into
F1.1
spreadsheets
Mammals - Nuffield Foundation
Module Results - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Exponential growth – MEI (Username: mei-imps Password: imps)
 Compound Interest – MEI (Username: mei-imps Username:
imps)
Student Loans 1 – MEI (Username: mei-imps Username: imps)
Return to Routemap
View next
page
Introduction to Spreadsheets (Slide 2 of 2)
Subject content:
Online resources:
It is expected that spreadsheets and tables will be used throughout
the teaching and learning of this Mathematical Studies
specification.
Student Loans 2 – MEI
Spreadsheet formulae will include:
“=A1+A2+A3” to sum values in cells
“=2*B3” to multiply a value in a given cell
“=SUM(A1:A10)”
(Username: mei-imps
Username: imps)
 Sport at School - TES
Guide to creating comparison
charts in Excel – TES
Investigating y=mx+c
spreadsheet - TES
Intro to spreadsheets – TES
Modelling with spreadheets -
substituting numerical values into spreadsheets
planning a festival - TES
An introduction to spreadsheets
F1.1
2 - TES
Return to Routemap
Return to
previous
page
Types of Data
Subject content:
Online resources:
 appreciating the difference between qualitative and quantitative
Parking Permits - Nuffield
D1.1
data;
Foundation
What Is Data? - Maths Is Fun
Types of data - discrete vs
continuous – TES
 appreciating the difference between primary and secondary
D1.2
data (including the use of secondary data that has been
processed e.g. grouped)
Return to Routemap
Collecting Data
Subject content:
D1.3

collecting quantitative and qualitative primary and secondary
data
Online resources:
 Pulse Rates - Nuffield Foundation
Reaction Times - Nuffield
Foundation
What Is Data? - Maths Is Fun
E1.1
 The modelling cycle:
 Parking Permits - Nuffield
- representing a situation mathematically, making assumptions
 Runaway Train - Nuffield
and simplifications
Foundation
Foundation
 Pulse Rates - Nuffield Foundation
Modelling with spreadheets -
E1.2
- selecting and using appropriate mathematical techniques for
problems and situations
E1.3
- interpreting results in the context of the given problem
E1.4
- evaluating methods and situations including how they may
have been affected by assumptions made
Return to Routemap
planning a festival - TES
Numerical calculations
Subject content:

using conventional notation for priority of operations, including
F1.2
brackets, powers, roots and reciprocals
Online resources:
BODMAS – MathsIsFun
BIDMAS – Transum
Order of Operation – CIMT
BODMAS Notes PPT - Mr
Barton Maths
Order of Operation Jigsaw Maths With Graham
substituting numerical values into formulae
Climate Prediction - Nuffield
Foundation
F1.1
Financial Calculations - Nuffield
Foundation
Tarsia Substitution - TES
Return to Routemap
Continued
on next
page
Percentages (Slide 1 of 2)
Subject content:
Online resources:
interpreting percentages and percentage
Percentages - Nuffield Foundation
changes as a fraction or a decimal and
Water Flow - Nuffield Foundation
F2.1
interpreting these multiplicatively
Gas Guzzlers - Nuffield Foundation
Financial Calculations - Nuffield Foundation
Income Tax - Nuffield Foundation
expressing one quantity as a percentage
Growth and Decay - Nuffield Foundations
of another
Guest1QM)
Percentages - MEI Integral (Username: mei-iqm Password:
Student Loans 1 – MEI (Username: mei-imps Username: imps)
F2.3
comparing two quantities using
percentages
F2.4
working with percentages over 100%
Return to Routemap
Student Loans 2 – MEI (Username: mei-imps Username: imps)
My Money Week 2014 - Inflation - Pfeg
My Money Week 2014 - Inflation - Pfeg
Percentages - Mathscentre
View next
page
Percentages (Slide 2 of 2)
F2.5
Subject content:
Online resources:
solving problems involving
Percentages - Nuffield Foundation
percentage change
- including percentage
increase/decrease and original value
problems
National Insurance - Nuffield Foundation (rules may need updating)
- including simple and compound
interest
E1.2
selecting and using appropriate
mathematical techniques for
problems and situations
Return to Routemap
Income Tax - Nuffield Foundation (rules may need updating)
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
Growth and Decay - Nuffield Foundations
Percentages - MEI Integral (Username: mei-iqm Password: Guest1QM)
 Compound Interest – MEI (Username: mei-imps Username: imps)
Student Loans 1 – MEI (Username: mei-imps Username: imps)
Student Loans 2 – MEI (Username: mei-imps Username: imps)
Percentages - Mathscentre
Return to
previous
page
Fermi Estimation
E2.1
Subject content:
Online resources:
Fermi estimation - making fast,
How should mathematics be taught to non-mathematicians? - Tim Gower's Blog
rough estimates using quantities
Fermi Maths Problems – Kidsjig
which are either difficult or
Classic Fermi Questions – Mathsforum
Estimation - MathsIsFun
How many piano tuners are there in Chicago? – TES
F1.1
impossible to measure directly
Fermi Problems - TES
substituting numerical values
Income Tax - Nuffield Foundation (rules may need updating)
into financial expressions
Savings Facts and Formulae - Nuffield Foundation
(including bank accounts)
F1.4
finding approximate solutions to
problems in financial contexts
Return to Routemap
Savings Growth - Nuffield Foundation
Growth and Decay - Nuffield Foundations
Representing Data Numerically 1
D3.1
Subject content:
Online resources:
calculating/identifying mean, median, mode from raw data
HE Applications - Nuffield
Foundation
Stature - Nuffield Foundation
Mammals - Nuffield Foundation
D3.1
calculating/identifying quartiles, percentiles, range, interquartile
Module Results - Nuffield
Foundation
range, standard deviation from raw data
Pulse Rates - Nuffield
Foundation
interpreting these numerical measures and reaching
D3.2
conclusions based on these measures
Return to Routemap
Averages and Spread Standard Deviation - TeachIt
Maths (PDF File is free access)
Data Summaries - Statstutor
Representing Data Diagrammatically 1
Subject content:
Online resources:
constructing and interpreting diagrams for grouped discrete
HE Applications - Nuffield Foundation
data and continuous data and know their appropriate use
Module Results - Nuffield Foundation
D4.1
- box and whisker plots
- stem-and-leaf diagrams (including back-to-back)
Return to Routemap
Mammals - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Box and Whisker Plots - Statstutor
Stem and Leaf Diagrams - Maths is Fun
Interest Rates
F3.1
Subject content:
Online resources:
simple and compound interest
Financial Calculations - Nuffield Foundation
Annual Equivalent Rate (AER)
National Insurance - Nuffield Foundation (rules may need updating)
Income Tax - Nuffield Foundation (rules may need updating)
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
F3.2
savings and investments
Growth and Decay - Nuffield Foundations
 Compound Interest – MEI (Username: mei-imps Username: imps)
My Money Week 2014 - Inflation - Pfeg
selecting and using appropriate
E1.2
mathematical techniques for problems and
situations
Return to Routemap
Equation of a straight line
Subject content:
Online resources:
find the gradient of a line connecting
Gas Guzzlers - Nuffield Foundation
two different points.
Smoke Strata - Nuffield Foundation
How Frequent are Earthquakes? - Nuffield Foundation
Water Flow - Nuffield Foundation
Test Run - Nuffield Foundation
Match Linear Functions and Graphs - Nuffield Foundation
Exponential growth – MEI (Username: mei-imps Password: imps)
knowledge and use of the formula 𝑦 =
Equation of a Straight Line - Mathscentre
𝑚𝑥 + 𝑐.
Investigating y=mx+c spreadsheet - TES
Return to Routemap
The Gradient of a Straight Line Segment - Mathscentre
Collecting and Sampling Data
D2.2
Subject content:
Online resources:
appreciating the strengths and limitations of random,
Parking Permits - Nuffield
cluster, stratified and quota sampling methods and applying
Reaction Times - Nuffield
this understanding when designing sampling strategies
appreciating that improving accuracy by removing bias and
Foundation
Foundation
Parking Permits - Nuffield
D2.2
Foundation
increasing sample size may cost/save both time and money
D2.1
inferring properties of populations or distributions from a
HE Applications - Nuffield
sample, whilst knowing the limitations of sampling
Pulse Rates - Nuffield Foundation
Return to Routemap
Foundation
Reaction Times - Nuffield
Foundation
The Normal Distribution (Slide 1 of 2)
Continued
on next
page
S1.1
Subject content:
Online resources:
knowledge that this is a symmetrical distribution and that the
Normal Distribution - Maths Is
area underneath the normal ‘bell’ shaped curve represents
The Normal Distribution - SCool
probability
knowledge that approximately
Fun
The Normal Distribution - CIMT
S1.1
2
3
The Normal Distribution -
rds of observations lie within 1
standard deviation of the mean and that approximately 95% of
observations lie within 2 standard deviations of the mean
S2.1
use of the notation N(0, 1) for the standardised normal
University of Oxford
Stature - Nuffield Foundation
Normal Distribution Tarsia –
TES
Autograph Activity - Normal
Distribution Calculator - TES
distribution with mean = 0 and standard deviation = 1
Return to Routemap
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page
The Normal Distribution (Slide 2 of 2)
S3.1
Subject content:
Online resources:
using a calculator or tables to find probabilities for normally
Normal Distribution - Maths Is
distributed data with mean = 0 and standard deviation = 1
The Normal Distribution - S-
Fun
Cool
The Normal Distribution - CIMT
using a calculator or tables to find probabilities for normally
S3.1
distributed data with known mean and standard deviation
The Normal Distribution University of Oxford
Stature - Nuffield Foundation
(the finding of an unknown mean or standard deviation by making use
of percentage points will not be required)
C1.1
 presenting logical and reasoned arguments in context
 criticising the arguments of others
C2.1
 communicating mathematical approaches and solutions
Return to Routemap
Return to
previous
page
Critical Path Analysis
R1.1 R1.2
Subject content:
Online resources:
 representing compound projects by activity networks
 Refurbishing a Room - Nuffield
Foundation
 Critical Path Analysis – CIMT
 activity-on-node representation will be used
 Critical Path Analysis - Learn About OR
 Critical path analysis – TES
R2.1
 using early time and late time algorithms to identify critical
activities and find the critical path(s)
R3.1
 using Gantt charts (cascade diagrams) to present project
C1.1
 presenting logical and reasoned arguments in context
C2
 communicating mathematical approaches and solutions
activities
 criticising the arguments of others
Return to Routemap
 Earliest and Latest Event Times – TES
 Gantt charts and resource histrograms
– TES
 Thinking Skills Activities Lesson
Decision Maths - TES
Graphical Methods (Slide 1 of 2)
Continued
on next
page
G1.1
Subject content:
Online resources:
sketching and plotting curves defined by
Minimum and Maximum Problems - Nuffield Foundation
simple equations (a knowledge of the shapes of
Coughs and Sneezes - Nuffield Foundation
the graphs of linear, quadratic, cubic and
Gas Guzzlers - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
Climate Prediction - Nuffield Foundation
G2.1
exponential functions will be expected)
How Frequent are Earthquakes? - Nuffield Foundation
plotting and interpreting graphs in real
 Smoke Strata - Nuffield Foundation
contexts, to find approximate solutions to
 Test Run - Nuffield Foundation
problems
Return to Routemap
 How Frequent are Earthquakes? - Nuffield Foundation
 Water Flow - Nuffield Foundation
 Ozone Holes - Nuffield Foundation
 Runaway Train - Nuffield Foundation
View next
page
Graphical Methods (Slide 2 of 2)
Subject content:
Online resources:
 interpreting the solutions of equations as the
Liner quadratic cubic graph match – TES
G2.2
intersection points of graphs and vice versa
Solving linear equations graphically – TES
Quadratic sketch treasure hunt – TES
Solving equations graphically lesson – TES (ignore
first three slides of the powerpoint)
 presenting logical and reasoned arguments in
C1
context
Minimum and Maximum Problems - Nuffield
Foundation
Gas Guzzlers - Nuffield Foundation
Coughs and Sneezes - Nuffield Foundation
C1.1
 criticising the arguments of others
Climate Prediction - Nuffield Foundation
Smoke Strata - Nuffield Foundation
Test Run - Nuffield Foundation
Ozone Holes - Nuffield Foundation
 communicating mathematical approaches and
Runaway Train - Nuffield Foundation
C2
solutions
Return to Routemap
Return to
previous
page
Review and recap 1
Subject content:
Return to Routemap
Online resources:
Solution to financial problems (Slide 1 of 2)
Continued
on next
page
F7.1
Subject content:
Online resources:
 the effect of inflation
Financial Graphs and Charts - Nuffield Foundation
 Retail Price Index (RPI), Consumer Price
My Money Week 2014 - Inflation - Pfeg
Inflation Indices - Nuffield Foundation
Index (CPI)
 setting up, solving and interpreting the
F7.2
solutions to financial problems, including
Financial Calculations - Nuffield Foundation
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
those that involve compound interest using
iterative methods
F7.3
 currency exchange rates including
commission
Changing to a Foreign Currency - BBC Bitesize
Currency Conversion - Maths is Fun
Currency exchange Mathsopoly – TES
Currency Conversion Exchange - World Travelling - TES
Return to Routemap
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page
Solution to financial problems (Slide 2 of 2)
Subject content:
Online resources:
 budgeting
Income Tax - Nuffield
Foundation (rules may need
updating)
F7.4
National Insurance - Nuffield
Foundation (rules may need
updating)
Savings Growth - Nuffield
Foundation
Savings Facts and Formulae -
Nuffield Foundation
E1.2
 selecting and using appropriate mathematical techniques for
problems and situations
Return to Routemap
Student Loans 1 – MEI
(Username: mei-imps
Username: imps)
Return to
previous
page
Perimeter, Circumference and Area
Subject content:
Online resources:
 Knowledge and use of the perimeter of 2D shapes and their
Area and Perimeter match up -
areas
TES
Compound Rectangles - TES
Maths Functional Skills: A New
Floor - TES
 knowledge and use of the formulae for the circumference and
the area of circle
Circumference of a circle
worksheet - TES
Area and Perimeter of sectors
worksheet - TES
Arcs and sectors worksheet -
 Knowledge and use of the formulae for calculating fractional
areas of circles and composite shapes
TES
Maths Valentines Card - Area
and Perimeter – TES
Perimeter of circles and
semicircles - TES
Return to Routemap
Similarity and Pythagoras’ Theorem
Subject content:
Online resources:
 the application of the concepts of similarity
Similar Shapes Worksheet – TES
GCSE Similar Triangles Geometry Activity - TES
including lengths in similar figures
 Pythagoras’ theorem applied to 2-D and 3-D
figures.
GCSE Introducing Pythagoras Theorem lesson – TES
Pythagoras Theorem in 3D – TES
Pythagoras Theorem Lesson – TES – incudes an
algebraic proof of the theorem
Pythagoras Theorem and coordinates – TES
 Pythagoras’ theorem applied to 3-D figures.
Return to Routemap
KS4 worksheet - using Pythagoras in 3D - TES
Pythagoras worded question worksheet - TES
Analyse Critically 1
Subject content:
Online resources:
C3.2
critical analysis of data quoted in media, political campaigns, marketing etc
- questions will concentrate on the analysis of numerical
and graphical data
- numerical data will normally be given in tabular or
spreadsheet form
 The modelling cycle:
 Parking Permits -
E1.1
Nuffield Foundation
- representing a situation mathematically, making assumptions and simplifications
 Runaway Train Nuffield Foundation
 Pulse Rates - Nuffield
E1.2
-
E1.3
-
interpreting results in the context of the given problem
E1.4
selecting and using appropriate mathematical techniques for problems and
-
evaluating methods and situations including how they may have been affected
Foundation
 Sport at School - TES
situations
by assumptions made
Return to Routemap
Surface area and similarity
Subject content:
Online resources:
 calculate surface areas of spheres, cones, pyramids and composite
Area and Volume of similar
solids, including the application of the concepts of similarity
including lengths in similar figures
shapes / solids – TES
Ratio of lengths, areas,
volumes of similar shpes – TES
Activity for 3D shapes - TES
Surface area and volume of
prisms – TES
Surface area and volume of
buildings - TES
Volume and surface area of a
sphere
Surface Area Worksheets TES
Return to Routemap
Project work: Analysis of data or Personal Finance
Subject content:
Online resources:
Analysis of Data
Mammals - Nuffield Foundation
Reaction Times - Nuffield
Foundation
 Sport at School - TES
C1.1
Personal Finance
Mathematical Applications of
 presenting logical and reasoned arguments in context
Mathematical Applications of
 criticising the arguments of others
Mammals - Nuffield Foundation
C2.1
 communicating mathematical approaches and solutions
 Summarising and report writing
Return to Routemap
Finance - Nuffield Foundation
Finance - Nuffield Foundation
Review and recap 2
Subject content:
Return to Routemap
Online resources:
Representing Data Diagrammatically 2
Subject content:
Online resources:
constructing and interpreting diagrams for grouped
Pay rates for men and women - Nuffield Foundation
discrete data and continuous data and know their
Mammals - Nuffield Foundation
appropriate use
Stature - Nuffield Foundation
Module Results - Nuffield Foundation
Pareto Charts - Nuffield Foundation
D4.1
- histograms with equal and unequal class intervals
Pulse Rates - Nuffield Foundation
- cumulative frequency graphs
 Drawing Histograms - TES
Cumulative Tables and Graphs - Maths is Fun
GCSE Histograms Worksheet – TES
Cumulative frequency Collective Memory – TES
Plotting cumulative frequency curves video tutorial – TES
Elephants Cumulative frequency - TES
Return to Routemap
Representing Data Numerically 2
Subject content:
Online resources:
 calculating/identifying mean, median, mode from cumulative
Stature - Nuffield Foundation
D3.1
frequency diagrams, stem and leaf diagrams or boxplots
Mammals - Nuffield Foundation
Module Results - Nuffield
Foundation
Pareto Charts - Nuffield
Foundation
 calculating/identifying quartiles, percentiles, range, interquartile
Cumulative Tables and Graphs
D3.1
- Maths is Fun
range, standard deviation from cumulative frequency diagrams,
stem and leaf diagrams or boxplots
D3.2
 interpreting these numerical measures and reaching
conclusions based on these measures
Standard Deviation Worksheet
– TES
Cumulative frequency and
boxplots lessons – TES
Median, quartiles and boxplots
worksheet - TES
Find ht quartiles and
 selecting and using appropriate mathematical techniques for
E1.2
problems and situations
Return to Routemap
interquartile range - TES
Graphical representation
Subject content:
Online resources:
 plotting points to create graphs and interpreting results from
Financial Graphs and Charts -
F5.1
graphs in financial contexts
Nuffield Foundation
Pareto Charts - Nuffield
Foundation
Match Linear Functions and
Graphs - Nuffield Foundation
 representing a situation mathematically, making assumptions
E1.1
and simplifications (students will engage in the tackling of
'open' mathematical problem-solving where there may not be a
clear single approach or 'correct' answer)
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Correlation and regression (Slide 1 of 3)
Continued
on next
page
S7.1
Subject content:
Online resources:
recognising when pairs of data are uncorrelated, correlated, strongly
DISCUSS Regression and
correlated, positively correlated and negatively correlated
Anthropometric Data - Nuffield
Correlation - Nuffield Foundation
Foundation
S7.2
appreciating that correlation does not necessarily imply causation
Mammals - Nuffield Foundation
understanding the idea of an outlier
Coefficient - Statstutor
Pearson’s Correlation
Scatter Diagrams - Maths Is Fun
S8.1
understanding that the strength of correlation is given by the pmcc
Interactive correlation activity TES
Statistics 1 Correlation – TES
Ten point PMCC - TES
S8.2
understanding that pmcc always has a value in the range from – 1 to
S8.3
appreciating the significance of a positive, zero or negative value of
+1
pmcc in terms of correlation of data
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page
Correlation and regression (Slide 2 of 3)
Continued
on next
page
Subject content:
Online resources:
the plotting of data pairs on scatter diagrams and the drawing, by eye,
DISCUSS Regression and
S9.1
Correlation - Nuffield Foundation
of a line of best fit through the mean point (the idea of residuals will not be
required)
S9.2 S9.3 S9.4 S9.5
understanding the concept of a regression line
Anthropometric Data - Nuffield
Foundation
Mammals - Nuffield Foundation
Correlation and Regression TES
plotting a regression line from its equation
using interpolation with regression lines to make predictions
understanding that there are problems concerning extrapolation
where raw data is given, candidates will be expected to use a calculator
DISCUSS Regression and
S10.1
Correlation - Nuffield Foundation
to calculate the pmcc and the equation of the regression line (calculations
from grouped data will not be required)
Anthropometric Data - Nuffield
Foundation
Pearson’s Correlation
Coefficient - Statstutor
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Correlation and regression (Slide 3 of 3)
C1.1
Subject content:
Online resources:
 presenting logical and reasoned arguments in context
DISCUSS Regression and
 criticising the arguments of others
Anthropometric Data - Nuffield
 communicating mathematical approaches and solutions
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Correlation - Nuffield Foundation
Foundation
Mammals - Nuffield Foundation
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page
Expectation (Slide 1 of 2)
Continued
on next
page
Subject content:
Online resources:
 understanding that uncertain outcomes can be modelled as random
Probability - Nuffield
R4.1
events with estimated probabilities
 knowing that the probabilities of an exhaustive set of outcomes sum
to one
R4.2
 applying ideas of randomness, fairness and equally likely events to
R5.1
 understanding and applying Venn diagrams and simple tree diagrams
Foundation
Laws of Probability - Nuffield
Foundation
Crack the code - 5 lock
problems - TES
calculate expected outcomes
Probability - Nuffield
Foundation
Laws of Probability - Nuffield
R6.1
 calculating the probability of combined events:
both A and B; neither A nor B; either A or B (or both)
to include independent and dependent events
Foundation
Three Dice - Nuffield
Foundation
Basic introduction to probability
tree diagrams – TES
Venn diagram lesson - TES
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Expectation (Slide 2 of 2)
Subject content:
Online resources:
 calculating the expected value of quantities such as financial
R7.1
loss or gain
 presenting logical and reasoned arguments in context
C1
 criticising the arguments of others
 communicating mathematical approaches and solutions
Return to Routemap
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page
Rates of change (slide 1 of 2)
Continued
on next
page
G3.1
Subject content:
Online resources:
 interpreting the gradient of a straight line graph as a rate of
Test Run - Nuffield Foundation
change
Gradients - Nuffield Foundation
(rules for differentiation could be
used as an extension activity)
Model the Motion - Nuffield
G3.2
 interpreting the gradient at a point on a curve as an
G3.3
 estimating rates of change for functions from their graphs
Foundation
instantaneous rate of change
 knowing that the average speed of an object during a
G4.1
distance travelled
particular period of time is given by
time taken
Return to Routemap
Model the Motion - Nuffield
Foundation
Tour de France problem
solving – TES
Speed time graphs - TES
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page
Rates of change (slide 2 of 2)
Subject content:
Online resources:
 knowing that the gradient of a distance–time graph represents
Test Run - Nuffield Foundation
G5.1
speed and that the gradient of a velocity–time graph represents
Model the Motion - Nuffield
Foundation
acceleration
 presenting logical and reasoned arguments in context
Test Run - Nuffield Foundation
C1
 criticising the arguments of others
 communicating mathematical approaches and solutions
Return to Routemap
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page
Analyse Critically 2
Subject content:
Online resources:
C3.2
critical analysis of data quoted in media, political campaigns, marketing etc
- questions will concentrate on the analysis of numerical
and graphical data
- numerical data will normally be given in tabular or
spreadsheet form
 The modelling cycle:
 Parking Permits - Nuffield
E1.1
Foundation
- representing a situation mathematically, making assumptions and
simplifications
E1.2
- selecting and using appropriate mathematical techniques for problems and
E1.3
- interpreting results in the context of the given problem
E1.4
- evaluating methods and situations including how they may have been
situations
affected by assumptions made
Return to Routemap
 Runaway Train - Nuffield
Foundation
 Pulse Rates - Nuffield
Foundation
 Sport at School - TES
Review and recap 3
Subject content:
Return to Routemap
Online resources:
Repayments and credit
Subject content:
Online resources:
student loans and mortgages
Credit Cards - Nuffield Foundation
Annual Percentage Rate (APR)
Financial Calculations - Nuffield Foundation
APR - Nuffield Foundation
Inflation Indices - Nuffield Foundation
 Compound Interest – MEI (Username: mei-imps
F4.1
Username: imps)
Student Loans 1 – MEI (Username: mei-imps
Username: imps)
Student Loans 2 – MEI (Username: mei-imps
Username: imps)
selecting and using appropriate mathematical techniques
E1.2
for problems and situations
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Taxation: Value Added Tax (VAT)
Subject content:
Online resources:
Taxation: Value Added Tax (VAT)
Government Spending and
F6.1
 selecting and using appropriate mathematical techniques for
E1.2
problems and situations
Return to Routemap
VAT - TES
Limits of accuracy
Subject content:
Online resources:
 applying and interpreting limits of accuracy, specifying simple
Error Bounds, Limits of
F1.3
error intervals due to truncation or rounding
Accuracy in Measurement – TES
Limits of Accuracy homework –
TES
Limits of accuracy powerpoint
and worksheet - TES
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Review and recap 4
Subject content:
Return to Routemap
Online resources:
Probabilities and estimation (Slide 1 of 2)
Continued
on next
page
Subject content:
Online
resources:
 understand what is meant by the term ‘population’ in statistical
S4.1
terms
 developing ideas of sampling to include the concept of a simple
S4.2
random sample from a population
 knowing that the mean of a sample is called a ‘point estimate’ for
S5.1
the mean of the population appreciating that accuracy is likely to be
improved by increasing the sample size
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page
Probabilities and estimation (Slide 2 of 2)
Subject content:
Online resources:
confidence intervals for the mean of a normally distributed
S6.1
population of known variance using
σ2
n
confidence intervals will always be symmetrical; the confidence level
required and the sample size will always be stated)
(
 presenting logical and reasoned arguments in context
C1
 criticising the arguments of others
 communicating mathematical approaches and solutions
Return to Routemap
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previous
page
Cost benefit analysis (Slide 1 of 2)
Continued
on next
page
Subject content:
Online
resources:
R8.1
 understanding that many decisions have to be made when
outcomes cannot be predicted with certainty
 Control measures: understanding that the actions that can be taken
R9.1
to reduce or prevent specific risks may have their own costs (to
include the costs and benefits of insurance)
 using probabilities to calculate expected values of costs and benefits
R10.1
of decisions
 other factors must be considered, for example
- the regulatory framework (eg compulsory insurance)
- minimising the maximum possible loss
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Cost benefit analysis (Slide 2 of 2)
Subject content:
Online resources:
 understanding that calculating an expected value is an important
R10.2
part of such decision making
 presenting logical and reasoned arguments in context
C1
 criticising the arguments of others
 communicating mathematical approaches and solutions
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page
Exponential Functions (Slide 1 of 2)
Continued
on next
page
G6.1
Subject content:
Online resources:
 using a calculator to find values of the function 𝑎 𝑥 (the
Climate Prediction - Nuffield Foundation
laws of logarithms will not be required)
Gas Guzzlers - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
How Frequent are Earthquakes? - Nuffield
Foundation
 using a calculator log function to solve equations of the
G6.2
form
𝑎𝑥
= 𝑏 and
𝑒 𝑘𝑥
=𝑏
Smoke Strata - Nuffield Foundation
 Growth and Decay - Nuffield Foundations
Matching Graph Sketches - TeachIt Maths
(Includes some extension graphs beyond the
specification: PDF File has free access)
 understanding that e has been chosen as the standard
Exponential growth – MEI (Username: meiimps Password: imps)
base for exponential functions
G7.1
 knowing that the gradient at any point on the graph of
𝑦 = e𝑥 is equal to the 𝑦 value of that point
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page
Exponential Functions (Slide 2 of 2)
Subject content:
Online resources:
 using exponential functions to model growth and decay in
Climate Prediction - Nuffield Foundation
G8.2
various contexts
Gas Guzzlers - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
How Frequent are Earthquakes? Nuffield Foundation
Smoke Strata - Nuffield Foundation
 formulating and using equations of the form 𝑦 = 𝐶𝑎 𝑥 and
G8.1
𝑦 = 𝐶e𝑘𝑥
Growth and Decay - Nuffield
Foundations
Exponential growth – MEI (Username:
mei-imps Password: imps)
 presenting logical and reasoned arguments in context
C1
 criticising the arguments of others
 communicating mathematical approaches and solutions
Return to Routemap
Return to
previous
page
Taxation: Income Tax and National Insurance
Subject content:
Online resources:
 Taxation: income tax, National Insurance,
Income Tax - Nuffield
Foundation (rules may need
F6.1
updating)
National Insurance - Nuffield
Foundation (rules may need
updating)
 selecting and using appropriate mathematical techniques for
E1.2
problems and situations
Return to Routemap
Analyse Critically 3
Subject content:
Online resources:
C3.2
critical analysis of data quoted in media, political campaigns, marketing etc
- questions will concentrate on the analysis of numerical
and graphical data
- numerical data will normally be given in tabular or
spreadsheet form
E1.1
 The modelling cycle:
 Parking Permits - Nuffield
Foundation
- representing a situation mathematically, making assumptions and simplifications
 Runaway Train - Nuffield
Foundation
E1.2 E1.3
- selecting and using appropriate mathematical techniques for
problems and situations
E1.4
- evaluating methods and situations including how they may have been affected
-
interpreting results in the context of the given problem
by assumptions made
Return to Routemap
 Pulse Rates - Nuffield
Foundation
 Sport at School - TES