Transcript Slide 1
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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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 (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
Return to Routemap
Wind Chill – Core Maths
Investigating the relationship between height and handspan –
Teachit Maths
Return to
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)
Return to Routemap
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
Return to Routemap
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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page
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
Return to Routemap
Return to
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
Return to Routemap
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
Return to Routemap
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 - CIMT
represents probability
knowledge that approximately
The Normal Distribution - S-Cool
The Normal Distribution - University of Oxford
2
3
Stature - Nuffield Foundation
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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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 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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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
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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page
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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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
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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page
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
Return to Routemap
Return to
previous
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
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 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
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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
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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)
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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
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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,
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)
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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
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- Nuffield Foundation
Foundation
Mammals - Nuffield Foundation
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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
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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
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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
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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
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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
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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
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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
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
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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
=𝑏
Growth and Decay - Nuffield Foundations
Matching Graph Sketches - TeachIt Maths (Includes some
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
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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