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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
Holiday
Wk24
Wk25
Wk26
Year 12
Wk27
Optional content Topic 3 – (select one from
the right)
Wk34
Wk35
JULY
Wk42
Wk10
Graphical
representation
Option Topic
2
Wk18
Wk19
Repayments and credit
Wk43
Wk44
Wk20
Taxation:
Value added
tax (VAT)
MARCH
Wk36
REVISION AND END OF YEAR EXAMIANTIONS
Analyse Critically 3
REVISION AND END OF
YEAR EXAMIANTIONS
Holiday
Wk9
Wk28
Wk29
Taxation: Income tax and National
Insurance
Wk45
Wk30
Holiday
MAY
JUNE
Wk41
Wk17
Holiday
APRIL
Wk31
Wk8
JANUARY
FEBRUARY
Wk21
Holiday
Wk7
DECEMBER
Analyse Critically 2
Limits of
accuracy
Wk6
Representing data
numerically 2
NOVEMBER
Wk11
Wk5
NOVEMBER
JUNE
Wk37
Wk38
Holiday
Wk39
Wk40
REVISION AND END OF
YEAR EXAMIANTIONS
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 Password:
imps)
Student Loans 1 – MEI (Username: mei-imps Password: imps)
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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 (Username: mei-imps Username: imps)
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)”
 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 - planning a festival - TES
An introduction to spreadsheets 2 - TES
Fitting Numbers - Core Maths
 Budgeting - Core Maths
Selling Figures and Annual Report - Core Maths
Vampires – Core Maths
substituting numerical values into
F1.1
spreadsheets
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Wind Chill – Core Maths
Investigating the relationship between height and handspan –
Teachit Maths
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previous
page
Types of Data
Subject content:
Online resources:
 appreciating the difference between qualitative and
Parking Permits - Nuffield Foundation
D1.1
quantitative data;
What Is Data? - Maths Is Fun
Types of data - discrete vs continuous –
TES
Data types and sampling methods –
Teachit maths
 appreciating the difference between primary and
D1.2
secondary data (including the use of secondary data that
has been processed e.g. grouped)
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Collecting Data
Subject content:
D1.3

collecting quantitative and qualitative primary and secondary
Online resources:
 Pulse Rates - Nuffield Foundation
Reaction Times - Nuffield Foundation
E1.1
data
What Is Data? - Maths Is Fun
 The modelling cycle:
 Parking Permits - Nuffield Foundation
- representing a situation mathematically, making assumptions
 Pulse Rates - Nuffield Foundation
and simplifications
 Runaway Train - Nuffield Foundation
Modelling with spreadheets - planning a
festival - TES
Shockwheat – Core Maths
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
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Numerical calculations
Subject content:

using conventional notation for priority of
F1.2
operations, including brackets, powers, roots and
reciprocals
Online resources:
BODMAS – MathsIsFun
BIDMAS – Transum
Order of Operations – CIMT
BODMAS Notes PPT - Mr Barton Maths
Order of Operation Jigsaw - Maths With Graham
BIDMAS – A crossnumber puzzle – Teachit Maths
substituting numerical values into formulae
Climate Prediction - Nuffield Foundation
Financial Calculations - Nuffield Foundation
Tarsia Substitution - TES
Skin Area - Core Maths
F1.1
The Princess’s Problem - Core Maths
Physical Fitness - Core Maths
Wind Chill – Core Maths
Practising substitution – Heron’s Formula – Teachit
Maths
Unfamiliar Formulae – Teachit Maths
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Continued
on next
page
Percentages (Slide 1 of 2)
Subject content:
Online resources:
interpreting percentages and percentage
Working with 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%
Student Loans 2 – MEI (Username: mei-imps Username: imps)
My Money Week 2014 - Inflation - Pfeg
Percentages - Mathscentre
Percentage Bursts – Teachit Maths
Studying Bacteria – Teachit Maths
Percentage Changes – Teachit Maths
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Percentages (Slide 2 of 2)
F2.5
Subject content:
Online resources:
solving problems involving
Working with Percentages - Nuffield Foundation
percentage change
- including percentage increase /
decrease and original value
problems
- including simple and compound
interest
National Insurance - Nuffield Foundation
selecting and using appropriate
mathematical techniques for
problems and situations
Student Loans 1 – MEI (Username: mei-imps Password: imps)
Income Tax - Nuffield Foundation
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
Growth and Decay - Nuffield Foundations
Working with Percentages - MEI Integral (Username: mei-iqm Password:
Guest1QM)
 Compound Interest – MEI (Username: mei-imps Password: imps)
Student Loans 2 – MEI (Username: mei-imps Password: imps)
Percentages - Mathscentre
E1.2
Percentage Use and Abuse (Username: mei-criticalmaths Password:
Critical1)
Selling Figures and Annual Report - Core Maths
Compound Percentage Loop Cards – Teachit Maths
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previous
page
Fermi Estimation
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
E2.1
impossible to measure directly
Classic Fermi Questions – Mathsforum
Estimation - MathsIsFun
How many piano tuners are there in Chicago? – TES
Fermi Problems - TES
Making estimations from limited data (Username: mei-criticalmaths Password:
Critical1)
Fermi Estimates (Username: mei-critialmaths Password: Critical1)
Horse Manure - Core Maths
Skin Area - Core Maths
Estimation, Assumptions and Predictions – Core Maths
F1.1
substituting numerical values
Income Tax - Nuffield Foundation
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,
HE Applications - Nuffield Foundation
mode from raw data
Module Results - Nuffield Foundation
Mammals - Nuffield Foundation
Pulse Rates - Nuffield Foundation
calculating/identifying quartiles,
Comparing averages and Spread - Standard Deviation - TeachIt
D3.1
Maths (PDF File is free access)
percentiles, range, interquartile range,
standard deviation from raw data
Data Summaries - Calculating the mean, median and mode Statstutor
Real life mean, median and mode – TES
interpreting these numerical measures
Standard Deviation – Maths is Fun
and reaching conclusions based on these
Guessing the answer (Username: mei-criticalmaths Password:
Quartiles – Maths is Fun
Critical1)
measures
Fitting Numbers - Core Maths
D3.2
Shockwheat – Core Maths
Throwing a Six – Core Maths
Practice Time – Core Maths
Which team won? – Core Maths
Population data – Core Maths
Data discussion – mean median and range – Teach it Maths
Comparing averages and spread – Teachit Maths
Return to Routemap
Representing Data Diagrammatically 1
Subject content:
Online resources:
constructing and interpreting diagrams for grouped
Quartiles – Maths is Fun
discrete data and continuous data and know their
appropriate use
HE Applications - Nuffield Foundation
Mammals - Nuffield Foundation
Module Results - Nuffield Foundation
Pulse Rates - Nuffield Foundation
D4.1
- box and whisker plots
Box and Whisker Plots - Statstutor
- stem-and-leaf diagrams (including back-to-back)
Stature - Nuffield Foundation
Stem and Leaf Diagrams - Maths is Fun
Using Excel to create boxplots – TES
Shockwheat – Core Maths
Throwing a Six – Core Maths
Well or Unwell? – Core Maths
Practice Time – Core Maths
Population data – Core Maths
Return to Routemap
Interest Rates
F3.1
Subject content:
Online resources:
simple and compound interest
Financial Calculations - Nuffield Foundation
Annual Equivalent Rate (AER)
National Insurance - Nuffield Foundation
Income Tax - Nuffield Foundation
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 Password: imps)
My Money Week 2014 - Inflation - Pfeg
Money Advice Service website
selecting and using appropriate
mathematical techniques for problems and
E1.2
situations
Growth and Decay - Core Maths
 Budgeting - Core Maths
Borrowing Money - Core Maths
Selling Figures and Annual Report - Core Maths
Your Financial Future – level 3 – Pfeg
Stop Loan Sharks (lessons for 11-19 year olds) – Pfeg
Adding up to a Lifetime
Money Sense – Credit and Debt – Natwest
How much will I earn? – Teachit Maths
Compound Percentage Loop Cards – Teachit Maths
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
The Gradient of a Straight Line Segment - Mathscentre
Matching graphs and equations – Teachit Maths
Understanding y=mx+c - Teachit Maths
Drawing straight line graphs booklet – Teachit Maths
Calculating gradients – Teachit Maths
Equations of horizontal and vertical lines
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Collecting and Sampling Data
D2.2
Subject content:
Online resources:
appreciating the strengths and limitations of random,
Parking Permits - Nuffield Foundation
cluster, stratified and quota sampling methods and
Stratified Sampling – TES
applying this understanding when designing sampling
strategies
Reaction Times - Nuffield Foundation
Stratified sampling Worksheet
Jelly Blubbers – Core Maths
Data types and sampling methods – Teachit
maths
appreciating that improving accuracy by removing
Parking Permits - Nuffield Foundation
D2.2
Jelly Blubbers – Core Maths
bias and increasing sample size may cost/save both
time and money
D2.1
inferring properties of populations or distributions from
HE Applications - Nuffield Foundation
a sample, whilst knowing the limitations of sampling
Reaction Times - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Guessing the answer (Username: meicriticalmaths Password: Critical1)
Jelly Blubbers – Core Maths
Population data – Core Maths
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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
Normal Distribution - Maths Is Fun
that the area underneath the normal ‘bell’ shaped curve
Further Normal Distribution – S-Cool
The Normal Distribution - S-Cool
The Normal Distribution - CIMT
represents probability
The Normal Distribution - University of Oxford
Stature - Nuffield Foundation
knowledge that approximately
2
3
rds of observations lie
S1.1
within 1 standard deviation of the mean and that
approximately 95% of observations lie within 2 standard
Normal Distribution Tarsia – TES
Autograph Activity - Normal Distribution
Calculator – TES
Guessing the answer (Username: meicriticalmaths Password: Critical1)
deviations of the mean
S2.1
use of the notation N(0, 1) for the standardised normal
distribution with mean = 0 and standard deviation = 1
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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 Fun
distributed data with mean = 0 and standard deviation = 1
Further Normal Distribution – S-Cool
The Normal Distribution - S-Cool
The Normal Distribution - CIMT
The Normal Distribution - University of
using a calculator or tables to find probabilities for normally
S3.1
distributed data with known mean and standard deviation
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
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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
 Critical Path Analysis - Learn About OR
 activity-on-node representation will be used
 Critical path analysis – TES
 Earliest and Latest Event Times – 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
C1.1
 presenting logical and reasoned arguments in context
project activities
 criticising the arguments of others
C2
 communicating mathematical approaches and
solutions
Return to Routemap
 Gantt charts and resource histograms – TES
 Thinking Skills Activities Lesson Decision Maths TES
 Garden Design - Core Maths
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
exponential functions will be expected)
How Frequent are Earthquakes? - Nuffield Foundation
plotting and interpreting graphs in real
 Water Flow - Nuffield Foundation
contexts, to find approximate solutions to
 Ozone Hole - Nuffield Foundation
G2.1
problems
 Smoke Strata - Nuffield Foundation
 Test Run - Nuffield Foundation
 Runaway Train - Nuffield Foundation
 Growth and Decay - Core Maths
 Vampires – Core Maths
 Quadratic Functions Treasure Hunt – Teachit Maths
 Matching graph sketches – Teachit Maths (logarithm
graphs can be removed from the card set)
 Getting to know the quadratic function - Teachit Maths
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Graphical Methods (Slide 2 of 2)
Subject content:
Online resources:
 interpreting the solutions of equations as the
Linear quadratic cubic graph match – TES
G2.2
intersection points of graphs and vice versa
Solving linear equations graphically – TES
Quadratic sketch treasure hunt – TES
Graphical solutions to quadratic equations – TES
 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
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Review and recap 1
Subject content:
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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
My Money Week 2014 - Inflation - Pfeg
Price Index (CPI)
 setting up, solving and interpreting
the solutions to financial problems,
F7.2
including those that involve compound
interest using iterative methods
 currency exchange rates including
commission
Inflation Indices - Nuffield Foundation
Money Advice Service website
Financial Calculations - Nuffield Foundation
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
Borrowing Money - Core Maths
Marketing - Core Maths
Selling Figures and Annual Report - Core Maths
Stocks and Shares - Core Maths
Changing to a Foreign Currency - BBC Bitesize
Currency Conversion - Maths is Fun
Currency exchange Mathsopoly – TES
F7.3
Currency Conversion Exchange - World Travelling - TES
Import Export - Core Maths
Introducing Financial Mathematics: A practical guide – Pfeg
Let’s get Functional – Pfeg
Adding up to a Lifetime
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Solution to financial problems (Slide 2 of 2)
Subject content:
Online resources:
 budgeting
Income Tax - Nuffield Foundation (rules may need updating)
National Insurance - Nuffield Foundation (rules may need
updating)
F7.4
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
Student Loans 1 – MEI (Username: mei-imps Password: imps)
Student Loans 2 – MEI (Username: mei-imps Password: imps)
Budgeting your life – TSB Bank
Money Advice Service website
 Budgeting - Core Maths
 selecting and using appropriate
mathematical techniques for problems
E1.2
and situations
My Money Week – Secondary Resources - Pfeg
Your Financial Future – level 3 – Pfeg
Stop Loan Sharks (lessons for 11-19 year olds) – Pfeg
Introducing Financial Mathematics: A practical guide – Pfeg
Let’s get Functional – Pfeg
Adding up to a Lifetime
Money Sense – Credit and Debt - Natwest
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page
Perimeter, Circumference and Area
Subject content:
Online resources:
 Knowledge and use of the perimeter of 2D shapes
Area and Perimeter match up - TES
and their areas
 knowledge and use of the formulae for the
circumference and the area of circle
Compound Rectangles - TES
Maths Functional Skills: A New Floor - TES
Circumference of a circle worksheet - TES
Area and Perimeter of sectors worksheet - TES
Arcs and sectors worksheet - TES
Maths Valentines Card - Area and Perimeter –
TES
 Knowledge and use of the formulae for calculating
fractional areas of circles and composite shapes
Perimeter of circles and semicircles - TES
Skin Area - Core Maths
The Princess’s Problem - Core Maths
Finding the area of a circle – Teachit Maths
Perimeter Problems – Teachit Maths
Grouping Compound Areas – Teachit Maths
Grouping areas – Teachit Maths
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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 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 applied to 3-D figures.
Pythagoras Theorem and coordinates – TES
KS4 worksheet - using Pythagoras in 3D - TES
Pythagoras worded question worksheet - TES
Pythagoras Theorem – Complete Topic Booklet –
Teachit Maths
Pythagorean triples from fractions – Teachit Maths
Return to Routemap
Analyse Critically 1
Subject content:
Online resources:
critical analysis of data quoted in media, political campaigns,
Scams Resource (Username: meicriticalmaths Password: Critical1)
C3.2
marketing etc
- questions will concentrate on the analysis of numerical
and graphical data
- numerical data will normally be given in tabular or
spreadsheet form
Valid arguments (Username: mei-critical
Password: Critical 1)
Percentage Use and Abuse (Username: meicriticalmaths Password: Critical1)
Regression to the mean (Username: mei-
criticalmaths Password: Critical1)
E1.1
 The modelling cycle:
 Parking Permits - Nuffield Foundation
- representing a situation mathematically, making assumptions and
 Pulse Rates - Nuffield Foundation
simplifications
 Sport at School - TES
E1.2
-
E1.3
-
interpreting results in the context of the given problem
E1.4
selecting and using appropriate mathematical techniques for
-
evaluating methods and situations including how they may have
problems and situations
been affected by assumptions made
Return to Routemap
 Runaway Train - Nuffield Foundation
Surface area and similarity
Subject content:
Online resources:
 calculate surface areas of spheres, cones, pyramids and
Activity for 3D shapes - TES
composite solids, including the application of the
concepts of similarity including lengths in similar figures
Surface area and volume of prisms – TES
Surface area and volume of buildings - TES
 Volume and surface area of a sphere - TES
Surface Area Worksheets - TES
Desktop revision Volume and Surface Area –
Teachit Maths
Area and Volume of similar shapes / solids –
TES
Ratio of lengths, areas, volumes of similar
shapes – 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
Personal Finance
Mathematical Applications of Finance - Nuffield
Foundation
Money Advice Service website
 presenting logical and reasoned arguments in
C1.1
context
 criticising the arguments of others
 communicating mathematical approaches and
C2.1
solutions
 Summarising and report writing
Return to Routemap
Mathematical Applications of Finance - Nuffield
Foundation
Mammals - Nuffield Foundation
Voting Systems (Username:mei-critical
Password: Critical1)
Braille - Core Maths
Review and recap 2
Subject content:
Return to Routemap
Online resources:
Representing Data Diagrammatically 2
Subject content:
Online resources:
constructing and interpreting diagrams for
Pay rates for men and women - Nuffield Foundation
grouped discrete data and continuous data and
Mammals - Nuffield Foundation
know their appropriate use
- histograms with equal and unequal class
intervals
D4.1
- cumulative frequency graphs
Stature - Nuffield Foundation
Module Results - Nuffield Foundation
Pareto Charts - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Cumulative Tables and Graphs - Maths is Fun
 Drawing Histograms - TES
GCSE Histograms Worksheet – TES
Cumulative frequency Collective Memory – TES
Plotting cumulative frequency curves video tutorial – TES
Elephants Cumulative frequency - TES
Throwing a Six – Core Maths
Well or Unwell? – Core Maths
Practice Time – Core Maths
History – Core Maths
Population data – Core Maths
Histogram Dice – Teachit Maths
Return to Routemap
Representing Data Numerically 2
Subject content:
Online resources:
 calculating/identifying mean, median, mode from
Stature - Nuffield Foundation
D3.1
cumulative frequency diagrams, stem and leaf
diagrams or boxplots
Mammals - Nuffield Foundation
Module Results - Nuffield Foundation
Pareto Charts - Nuffield Foundation
Cumulative Tables and Graphs - Maths is Fun
Standard Deviation Worksheet – TES
 calculating/identifying quartiles, percentiles,
D3.1
range, interquartile range, standard deviation from
cumulative frequency diagrams, stem and leaf
Cumulative frequency and boxplots lessons – TES
Median, quartiles and boxplots worksheet - TES
Find the quartiles and interquartile range - TES
Shockwheat – Core Maths
Throwing a Six – Core Maths
diagrams or boxplots
D3.2
 interpreting these numerical measures and
reaching conclusions based on these measures
 selecting and using appropriate mathematical
E1.2
techniques for problems and situations
Return to Routemap
Well or Unwell? – Core Maths
Practice Time – Core Maths
History – Core Maths
Population data – Core Maths
Graphical representation
Subject content:
Online resources:
 plotting points to create graphs and interpreting results
Financial Graphs and Charts -
F5.1
from graphs in financial contexts
Nuffield Foundation
Pareto Charts - Nuffield Foundation
Match Linear Functions and Graphs Nuffield Foundation
Marketing - Core Maths
 representing a situation mathematically, making
assumptions and simplifications (students will engage in
E1.1
the tackling of 'open' mathematical problem-solving where
there may not be a clear single approach or 'correct'
answer)
Return to Routemap
Maximising Profit - Core Maths
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,
DISCUSS Regression and Correlation -
strongly correlated, positively correlated and negatively
Anthropometric Data - Nuffield Foundation
correlated
appreciating that correlation does not necessarily imply
S7.2
causation
understanding the idea of an outlier
Nuffield Foundation
Mammals - Nuffield Foundation
Pearson’s Correlation Coefficient Statstutor
Scatter Diagrams - Maths Is Fun
Interactive correlation activity - TES
Statistics 1 Correlation – TES
Ten point PMCC - TES
Valid arguments (Username: mei-critical
S8.1
understanding that the strength of correlation is given by the
pmcc
S8.2
understanding that pmcc always has a value in the range
S8.3
appreciating the significance of a positive, zero or negative
Password: Critical 1)
Population data – Core Maths
Investigating the relationship between
height and handspan – Teachit Maths
from – 1 to + 1
value of pmcc in terms of correlation of data
Return to Routemap
View next
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,
DISCUSS Regression and Correlation -
S9.1
Nuffield Foundation
by eye, of a line of best fit through the mean point (the idea of
residuals will not be required)
Anthropometric Data - Nuffield Foundation
Mammals - Nuffield Foundation
Correlation and Regression - TES
S9.2 S9.3 S9.4 S9.5
understanding the concept of a regression line
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
DISCUSS Regression and Correlation Nuffield Foundation
S10.1
calculator to calculate the pmcc and the equation of the
regression line (calculations from grouped data will not be
Anthropometric Data - Nuffield Foundation
Pearson’s Correlation Coefficient - Statstutor
required)
Return to Routemap
Return to
previous
page
Correlation and regression (Slide 3 of 3)
C1.1
Subject content:
Online resources:
 presenting logical and reasoned arguments in context
DISCUSS Regression and Correlation
 criticising the arguments of others
Anthropometric Data - Nuffield
 communicating mathematical approaches and solutions
Return to Routemap
- Nuffield Foundation
Foundation
Mammals - Nuffield Foundation
Return to
previous
page
Continued
on next
page
Expectation (Slide 1 of 2)
Subject content:
Online resources:
 understanding that uncertain outcomes can be
Probability - Nuffield Foundation
modelled as random events with estimated
R4.1
probabilities
 knowing that the probabilities of an exhaustive set of
Laws of Probability - Nuffield Foundation
Crack the code - 5 lock problems - TES
Mutually Exclusive / Exhaustive Events (also considers
mutually exclusive events)
Screening Test (Username: mei-criticalmaths Password:
Critical1)
outcomes sum to one
Fitting Numbers - Core Maths
Wheels of Fortune – Core Maths
 applying ideas of randomness, fairness and equally
R4.2
likely events to calculate expected outcomes
Champion of the World – Core Maths
Fitting Numbers – Core Maths
Russian Fable – Core Maths
Special Dice – Core Maths
Matching events with probabilities – Teachit Maths
R5.1
 understanding and applying Venn diagrams and
simple tree diagrams
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
Probability - Nuffield Foundation
Laws of Probability - Nuffield Foundation
Three Dice - Nuffield Foundation
Basic introduction to probability tree diagrams – TES
Venn diagram lesson - TES
Marbles – Core Maths
Investigating patterns of random events - Teachit Maths
Venn diagrams Dominoes – Teachit Maths
Return to Routemap
View next
page
Expectation (Slide 2 of 2)
Subject content:
Online resources:
 calculating the expected value of quantities such as
Scams Resource (Username: mei-
R7.1
financial loss or gain
criticalmaths Password: Critical1)
Pinball Wizard – Core Maths
The Secret of Winning – Core Maths
 presenting logical and reasoned arguments in context
 criticising the arguments of others
C1
 communicating mathematical approaches and
solutions
Return to Routemap
Return to
previous
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
Test Run - Nuffield Foundation
of change
Gradients - Nuffield Foundation (rules
for differentiation could be used as an
extension activity)
Model the Motion - Nuffield Foundation
G3.2
 interpreting the gradient at a point on a curve as an
G3.3
 estimating rates of change for functions from their
instantaneous rate of change
graphs
 knowing that the average speed of an object during a
G4.1
distance travelled
particular period of time is given by
time taken
Model the Motion - Nuffield Foundation
Tour de France problem solving – TES
Speed time graphs - TES
The story of a distance time graph =
Teachit Maths
Return to Routemap
View next
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
Return to
previous
page
Analyse Critically 2
Subject content:
Online resources:
critical analysis of data quoted in media, political campaigns,
Scams Resource (Username: meicriticalmaths Password: Critical1)
C3.2
marketing etc
- questions will concentrate on the analysis of numerical
and graphical data
- numerical data will normally be given in tabular or
spreadsheet form
Valid arguments (Username: mei-critical
Password: Critical 1)
Percentage Use and Abuse (Username:
mei-criticalmaths Password: Critical1)
Regression to the mean (Username: meicriticalmaths Password: Critical1)
E1.1
 The modelling cycle:
 Parking Permits - Nuffield Foundation
- representing a situation mathematically, making assumptions and
 Pulse Rates - Nuffield Foundation
simplifications
E1.2
- selecting and using appropriate mathematical techniques for
E1.3
- interpreting results in the context of the given problem
E1.4
- evaluating methods and situations including how they may have
problems and situations
been affected by assumptions made
Return to Routemap
 Runaway Train - 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
Password: imps)
Student Loans 1 – MEI (Username: mei-imps
F4.1
Password: imps)
Student Loans 2 – MEI (Username: mei-imps
Password: imps)
Student Loans Company website
Money Advice Service website
Stop Loan Sharks (lessons for 11-19 year olds) –
Pfeg
Adding up to a Lifetime
Money Sense – Credit and Debt - Natwest
selecting and using appropriate mathematical techniques
E1.2
for problems and situations
Return to Routemap
Taxation: Value Added Tax (VAT)
Subject content:
Online resources:
Taxation: Value Added Tax (VAT)
Government Spending and VAT - TES
Money Advice Service website
F6.1
HMRC website
Adding up to a Lifetime
 selecting and using appropriate mathematical
E1.2
techniques for problems and situations
Return to Routemap
Limits of accuracy
F1.3
Subject content:
Online resources:
 applying and interpreting limits of accuracy, specifying
Error Bounds, Limits of Accuracy in
simple error intervals due to truncation or rounding
Limits of Accuracy homework – TES
Measurement – TES
Limits of accuracy powerpoint and
worksheet - TES
Return to Routemap
Review and recap 4
Subject content:
Return to Routemap
Online resources:
Probabilities and estimation (Slide 1 of 2)
Subject content:
Continued
on next
page
Online resources:
 understand what is meant by the term ‘population’ in
S4.1
statistical terms
 developing ideas of sampling to include the concept of a
S4.2
simple random sample from a population
 knowing that the mean of a sample is called a ‘point
S5.1
estimate’ for the mean of the population appreciating that
accuracy is likely to be improved by increasing the sample
size
Return to Routemap
View next
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
Return to
previous
page
Cost benefit analysis (Slide 1 of 2)
Continued
on next
page
R8.1
Subject content:
Online resources:
 understanding that many decisions have to be made when
Scams Resource (Username: mei-
outcomes cannot be predicted with certainty
criticalmaths Password: Critical1)
Making decisions involving risk
(Username: mei-criticalmaths
 Control measures: understanding that the actions that can
Password: Critical1)
R9.1
be taken 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
R10.1
benefits of decisions
 other factors must be considered, for example
- the regulatory framework (eg compulsory insurance)
- minimising the maximum possible loss
Return to Routemap
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page
Cost benefit analysis (Slide 2 of 2)
Subject content:
Online resources:
 understanding that calculating an expected value is an
Scams Resource (Username: mei-
R10.2
important part of such decision making
criticalmaths Password: Critical1)
Making decisions involving risk
(Username: mei-criticalmaths
Password: Critical1)
 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
Continued
on next
page
Exponential Functions (Slide 1 of 2)
G6.1
Subject content:
Online resources:
 using a calculator to find values of the function
Climate Prediction - Nuffield Foundation
𝑎 𝑥 (the laws of logarithms will not be required)
Gas Guzzlers - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
How Frequent are Earthquakes? - Nuffield Foundation
Smoke Strata - Nuffield Foundation
 using a calculator log function to solve
G6.2
𝑥
equations of the form 𝑎 = 𝑏 and 𝑒
𝑘𝑥
 Growth and Decay - Nuffield Foundations
Matching Graph Sketches - TeachIt Maths (Includes some
=𝑏
extension graphs beyond the specification: PDF File has free
access)
Exponential growth – MEI (Username: mei-imps Password:
 understanding that e has been chosen as the
standard base for exponential functions
imps)
Growth and Decay - Core Maths
Vampires – Core Maths
G7.1
 knowing that the gradient at any point on the
graph of 𝑦 = e𝑥 is equal to the 𝑦 value of that
point
Return to Routemap
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page
Exponential Functions (Slide 2 of 2)
Subject content:
Online resources:
 using exponential functions to model growth and
Climate Prediction - Nuffield Foundation
G8.2
decay in 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
G8.1
and 𝑦 = 𝐶e𝑘𝑥
Growth and Decay - Nuffield Foundations
Exponential growth – MEI (Username: mei-imps
Password: imps)
Growth and Decay - Core Maths
Studying Bacteria – Teachit Maths
 presenting logical and reasoned arguments in context
 criticising the arguments of others
C1
 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
National Insurance - Nuffield
F6.1
Foundation
HMRC website
 selecting and using appropriate mathematical techniques for
E1.2
problems and situations
Return to Routemap
Analyse Critically 3
Subject content:
Online resources:
critical analysis of data quoted in media, political campaigns,
Scams Resource (Username: meicriticalmaths Password: Critical1)
C3.2
marketing etc
- questions will concentrate on the analysis of numerical
and graphical data
- numerical data will normally be given in tabular or
spreadsheet form
Valid arguments (Username: mei-critical
Password: Critical 1)
Percentage Use and Abuse (Username:
mei-criticalmaths Password: Critical1)
Regression to the mean (Username: meicriticalmaths Password: Critical1)
 The modelling cycle:
 Parking Permits - Nuffield Foundation
E1.1
- representing a situation mathematically, making assumptions and
 Pulse Rates - 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
simplifications
-
interpreting results in the context of the given problem
been affected by assumptions made
Return to Routemap
 Runaway Train - Nuffield Foundation
 Sport at School - TES