1. There are 3 optional topics
You must chose one optional content topic to fully cover
Level 3 Mathematical Studies 1 year Route Map
Common content: analysis of data
Common content: maths for personal finance
Common content: Estimation
Common content: Critical analysis
Optional content:
Statistical Techniques
Optional content:
Critical Path and Risk Analysis
Optional content:
Graphical Techniques OR OR
GCSE F Tier revision
GCSE H Tier revision
ICT skills

2. Drag your selected optional content topic 1 into the Route Map
Level 3 Mathematical Studies 1 year Route Map
CRITICAL PATH AND RISK ANALYSIS 3
Cost benefit analysis
CRITICAL PATH AND RISK ANALYSIS 2
Expectation
GRAPHICAL TECHNIQUES 2
Rates of change
GRAPHICAL TECHNIQUES 3
Exponential Functions OR
STATISTICAL TECHNIQUES 2
Correlation and regression
STATISTICAL TECHNIQUES 3
Probabilities and estimation
AND
Year 12/13* *Delete as appropriate
Introduction to spreadsheets
Types of Data and Collecting Data
Numerical Calculations
Percentages
Fermi Estimation
Representing data numerically 1
Representing data diagrammatically 1
Holiday
Interest Rates
Equation of a straight line
STATISTICAL TECHNIQUES 1
The Normal Distribution
Collecting and Sampling Data
Optional content Topic 1 – (select one from the left)
Perimeter, Circumference and Area
Similarity and Pythagoras Theorem
Holiday
Holiday
Solution to financial problems
Analyse Critically OR
CRITICAL PATH AND RISK ANALYSIS 1
Critical Path Analysis
Surface area and similarity
Graphical representation
Repayments and credit
Holiday
Representing data diagrammatically 2
Representing data numerically 2
Optional content Topic 2 – (select one from the right)
Taxation: Value added tax (VAT)
Limits of accuracy OR
GRAPHICAL TECHNIQUES 1
Graphical Methods
Holiday
Holiday
Optional content Topic 3 – (select one from the right)
Taxation: Income tax and National Insurance
REVISION AND END OF YEAR EXAMS
Holiday
REVISION AND END OF YEAR EXAMS
REVISION AND END OF YEAR EXAMS

3. 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.
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)”
Anthropometric Data - Nuffield Foundation
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
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)
F1.1
substituting numerical values into spreadsheets
View next page

4. Return to previous 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.
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)”
Student Loans 2 – MEI (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 - 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
Wind Chill – Core Maths
Investigating the relationship between height and handspan – Teachit Maths
F1.1
substituting numerical values into spreadsheets
Return to previous page

5. Types of Data and Collecting Data (Slide 1 of 2)
Subject content:
Online resources:
D1.1
appreciating the difference between qualitative and quantitative data;
Parking Permits - Nuffield Foundation
What Is Data? - Maths Is Fun
Types of data - discrete vs continuous – TES
Data types and sampling methods – Teachit maths
D1.2
appreciating the difference between primary and secondary data (including the use of secondary data that has been processed e.g. grouped)

6. Types of Data and Collecting Data (Slide 2 of 2)
Subject content:
Online resources:
D1.3
collecting quantitative and qualitative primary and secondary data
Pulse Rates - Nuffield Foundation
Reaction Times - Nuffield Foundation
What Is Data? - Maths Is Fun
E1.1
The modelling cycle:
- representing a situation mathematically, making assumptions and simplifications
Parking Permits - Nuffield Foundation
Runaway Train - Nuffield Foundation
Modelling with spreadsheets - 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

7. Numerical calculations
Subject content:
Online resources:
F1.2
using conventional notation for priority of operations, including brackets, powers, roots and reciprocals
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
F1.1
substituting numerical values into formulae
Climate Prediction - Nuffield Foundation
Financial Calculations - Nuffield Foundation
Tarsia Substitution - TES
Skin Area - Core Maths
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

8. Percentages (Slide 1 of 2)
Continued on next page
Subject content:
Online resources:
F2.1
interpreting percentages and percentage changes as a fraction or a decimal and interpreting these multiplicatively
expressing one quantity as a percentage of another
Working with Percentages - Nuffield Foundation
Gas Guzzlers - Nuffield Foundation
Water Flow - Nuffield Foundation
Financial Calculations - Nuffield Foundation
Income Tax - Nuffield Foundation
Growth and Decay - Nuffield Foundations
Percentages - MEI Integral (Username: mei-iqm Password: Guest1QM)
Student Loans 1 – MEI (Username: mei-imps Username: imps)
Student Loans 2 – MEI (Username: mei-imps Username: imps)
My Money Week Inflation - Pfeg
Percentages - Mathscentre
Percentage Bursts – Teachit Maths
Studying Bacteria – Teachit Maths
Percentage Changes – Teachit Maths
F2.3
comparing two quantities using percentages
F2.4
working with percentages over 100%
View next page

9. Return to previous page
Percentages (Slide 2 of 2)
Subject content:
Online resources:
F2.5
solving problems involving percentage change
- including percentage increase /
decrease and original value
problems
  - including simple and compound
interest
Working with Percentages - Nuffield Foundation
Income Tax - Nuffield Foundation
National Insurance - 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 1 – MEI (Username: mei-imps Password: imps)
Student Loans 2 – MEI (Username: mei-imps Password: imps)
Percentages - Mathscentre
Percentage Use and Abuse (Username: mei-criticalmaths Password: Critical1)
Selling Figures and Annual Report - Core Maths
Compound Percentage Loop Cards – Teachit Maths
E1.2
selecting and using appropriate mathematical techniques for problems and situations
Return to previous page

10. finding approximate solutions to problems in financial contexts
Fermi Estimation
Subject content:
Online resources:
E2.1
Fermi estimation - making fast, rough estimates using quantities which are either difficult or impossible to measure directly
How should mathematics be taught to non-mathematicians? - Tim Gower's Blog
Classic Fermi Questions – Mathsforum
Fermi Maths Problems – Kidsjig
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 into financial expressions (including bank accounts)
Income Tax - Nuffield Foundation
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
Growth and Decay - Nuffield Foundations
F1.4
finding approximate solutions to problems in financial contexts

11. Representing Data Numerically 1
Subject content:
Online resources:
D3.1
calculating/identifying mean, median, mode from raw data
HE Applications - Nuffield Foundation
Mammals - Nuffield Foundation
Module Results - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Comparing averages and Spread - Standard Deviation - TeachIt Maths (PDF File is free access)
Data Summaries - Calculating the mean, median and mode - Statstutor
Real life mean, median and mode – TES
Standard Deviation – Maths is Fun
Quartiles – Maths is Fun
Guessing the answer (Username: mei-criticalmaths Password: Critical1)
Fitting Numbers - Core Maths
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
calculating/identifying quartiles, percentiles, range, interquartile range, standard deviation from raw data
D3.2
interpreting these numerical measures and reaching conclusions based on these measures

12. Representing Data Diagrammatically 1
Subject content:
Online resources:
D4.1
constructing and interpreting diagrams for grouped
discrete data and continuous data and know their
appropriate use
- box and whisker plots
- stem-and-leaf diagrams (including back-to-back)
Quartiles – Maths is Fun
HE Applications - Nuffield Foundation
Mammals - Nuffield Foundation
Module Results - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Box and Whisker Plots - Statstutor
Stem and Leaf Diagrams - Maths is Fun
Stature - Nuffield Foundation
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

13. simple and compound interest Annual Equivalent Rate (AER)
Interest Rates
Subject content:
Online resources:
F3.1
simple and compound interest
Annual Equivalent Rate (AER)
Financial Calculations - Nuffield Foundation
Income Tax - Nuffield Foundation
National Insurance - Nuffield Foundation
Savings Growth - Nuffield Foundation
Savings Facts and Formulae - Nuffield Foundation
Growth and Decay - Nuffield Foundations
Compound Interest – MEI (Username: mei-imps Password: imps)
My Money Week Inflation - Pfeg
Money Advice Service website
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 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
F3.2
savings and investments
E1.2
selecting and using appropriate mathematical techniques for problems and situations

14. Equation of a straight line
Subject content:
Online resources:
find the gradient of a line connecting two different points.
Gas Guzzlers - Nuffield Foundation
How Frequent are Earthquakes? - Nuffield Foundation
Smoke Strata - 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)
Equation of a Straight Line - Mathscentre
The Gradient of a Straight Line Segment - Mathscentre
Investigating y=mx+c spreadsheet - TES
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

15. Collecting and Sampling Data
Subject content:
Online resources:
D2.2
appreciating the strengths and limitations of random, cluster, stratified and quota sampling methods and applying this understanding when designing sampling strategies
Parking Permits - Nuffield Foundation
Reaction Times - Nuffield Foundation
Stratified Sampling – TES
Stratified sampling Worksheet
Jelly Blubbers – Core Maths
Data types and sampling methods – Teachit maths
appreciating that improving accuracy by removing bias and increasing sample size may cost/save both time and money
D2.1
inferring properties of populations or distributions from a sample, whilst knowing the limitations of sampling
HE Applications - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Guessing the answer (Username: mei-criticalmaths Password: Critical1)
Population data – Core Maths

16. The Normal Distribution (Slide 1 of 2)
Continued on next page
Subject content:
Online resources:
S1.1
knowledge that this is a symmetrical distribution and that the area underneath the normal ‘bell’ shaped curve represents probability
Normal Distribution - Maths Is Fun
The Normal Distribution - S-Cool
Further Normal Distribution – S-Cool
The Normal Distribution - CIMT
The Normal Distribution - University of Oxford
Stature - Nuffield Foundation
Normal Distribution Tarsia – TES
Autograph Activity - Normal Distribution Calculator – TES
Guessing the answer (Username: mei-criticalmaths Password: Critical1)
S2.1
View next page

17. Return to previous page
The Normal Distribution (Slide 2 of 2)
Subject content:
Online resources:
S3.1
using a calculator or tables to find probabilities for normally distributed data with mean = 0 and standard deviation = 1
Normal Distribution - Maths Is Fun
The Normal Distribution - S-Cool
Further Normal Distribution – S-Cool
The Normal Distribution - CIMT
The Normal Distribution - University of Oxford
Stature - Nuffield Foundation
using a calculator or tables to find probabilities for normally distributed data with known mean and standard deviation
(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 previous page

18. Critical Path Analysis
Subject content:
Online resources:
R1.1
representing compound projects by activity networks
Refurbishing a Room - Nuffield Foundation
Critical Path Analysis – CIMT
Critical Path Analysis - Learn About OR
Critical path analysis – TES
Earliest and Latest Event Times – TES
Gantt charts and resource histograms – TES
Thinking Skills Activities Lesson Decision Maths - TES
Garden Design - Core Maths
R1.2
activity-on-node representation will be used
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 activities
C1.1
presenting logical and reasoned arguments in context
criticising the arguments of others C2
communicating mathematical approaches and solutions

19. Graphical Methods (Slide 1 of 2)
Continued on next page
Subject content:
Online resources:
G1.1
sketching and plotting curves defined by simple equations (a knowledge of the shapes of the graphs of linear, quadratic, cubic and exponential functions will be expected)
Minimum and Maximum Problems - Nuffield Foundation
Gas Guzzlers - Nuffield Foundation
Coughs and Sneezes - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
Climate Prediction - Nuffield Foundation
How Frequent are Earthquakes? - Nuffield Foundation
Smoke Strata - Nuffield Foundation
Water Flow - Nuffield Foundation
Test Run - Nuffield Foundation
Ozone Hole - 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
G2.1
plotting and interpreting graphs in real contexts, to find approximate solutions to problems
View next page

20. Return to previous page
Graphical Methods (Slide 2 of 2)
Subject content:
Online resources:
G2.2
interpreting the solutions of equations as the intersection points of graphs and vice versa
Linear quadratic cubic graph match – TES
Solving linear equations graphically – TES
Quadratic sketch treasure hunt – TES
Graphical solutions to quadratic equations – TES C1
presenting logical and reasoned arguments in context
Minimum and Maximum Problems - Nuffield Foundation
Gas Guzzlers - Nuffield Foundation
Coughs and Sneezes - Nuffield Foundation
Climate Prediction - Nuffield Foundation
Smoke Strata - Nuffield Foundation
Test Run - Nuffield Foundation
Ozone Holes - Nuffield Foundation
Runaway Train - Nuffield Foundation
C1.1
criticising the arguments of others C2
communicating mathematical approaches and solutions
Return to previous page

21. Perimeter, Circumference and Area
Subject content:
Online resources:
Knowledge and use of the perimeter of 2D shapes and their areas
Area and Perimeter match up - 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 - TES
Maths Valentines Card - Area and Perimeter – TES
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
Knowledge and use of the formulae for calculating fractional areas of circles and composite shapes

22. Solution to financial problems (Slide 1 of 2)
Continued on next page
Subject content:
Online resources:
F7.1
the effect of inflation
Retail Price Index (RPI), Consumer Price Index (CPI)
Financial Graphs and Charts - Nuffield Foundation
Inflation Indices - Nuffield Foundation
My Money Week Inflation - Pfeg
Money Advice Service website
F7.2
setting up, solving and interpreting the solutions to financial problems, including those that involve compound interest using iterative methods
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
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
Import Export - Core Maths
Introducing Financial Mathematics: A practical guide – Pfeg
Let’s get Functional – Pfeg
Adding up to a Lifetime
View next page

23. Return to previous page
Solution to financial problems (Slide 2 of 2)
Subject content:
Online resources:
F7.4
budgeting
Income Tax - Nuffield Foundation (rules may need updating)
National Insurance - Nuffield Foundation (rules may need updating)
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
My Money Week – Secondary Resources - Pfeg
Your Financial Future – level 3 – Pfeg
Stop Loan Sharks (lessons for 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
E1.2
selecting and using appropriate mathematical techniques for problems and situations
Return to previous page

24. Similarity and Pythagoras’ Theorem
Subject content:
Online resources:
the application of the concepts of similarity including lengths in similar figures
Pythagoras’ theorem applied to 2-D figures.
Similar Shapes Worksheet – TES
GCSE Similar Triangles Geometry Activity - TES
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
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
Pythagoras’ theorem applied to 3-D figures.

25. Analyse Critically C3.2 E1.1 E1.2 E1.3 E1.4 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
Scams Resource (Username: mei-criticalmaths Password: Critical1)
Valid arguments (Username: mei-critical Password: Critical 1)
Percentage Use and Abuse (Username: mei-criticalmaths Password: Critical1)
Regression to the mean (Username: mei-criticalmaths Password: Critical1)
E1.1
The modelling cycle:
- representing a situation mathematically, making assumptions and simplifications
Parking Permits - Nuffield Foundation
Runaway Train - Nuffield Foundation
Pulse Rates - Nuffield Foundation
Sport at School - TES
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

26. Surface area and similarity
Subject content:
Online resources:
calculate surface areas of spheres, cones, pyramids and composite solids, including the application of the concepts of similarity including lengths in similar figures
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 - 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

27. Graphical representation
Subject content:
Online resources:
F5.1
plotting points to create graphs and interpreting results from graphs in financial contexts
Financial Graphs and Charts - Nuffield Foundation
Pareto Charts - Nuffield Foundation
Match Linear Functions and Graphs - Nuffield Foundation
Marketing - Core Maths
Maximising Profit - Core Maths
E1.1
representing a situation mathematically, making assumptions 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)

28. Representing Data Diagrammatically 2
Subject content:
Online resources:
D4.1
constructing and interpreting diagrams for grouped discrete data and continuous data and know their appropriate use
- histograms with equal and unequal class intervals
- cumulative frequency graphs
Pay rates for men and women - Nuffield Foundation
Stature - Nuffield Foundation
Mammals - 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
Population data – Core Maths
Histogram Dice – Teachit Maths

29. Representing Data Numerically 2
Subject content:
Online resources:
D3.1
calculating/identifying mean, median, mode from cumulative frequency diagrams, stem and leaf diagrams or boxplots
Stature - Nuffield Foundation
Mammals - Nuffield Foundation
Module Results - Nuffield Foundation
Pareto Charts - Nuffield Foundation
Cumulative Tables and Graphs - Maths is Fun
Standard Deviation Worksheet – TES
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
Well or Unwell? – Core Maths
Practice Time – Core Maths
Population data – Core Maths
calculating/identifying quartiles, percentiles, range, interquartile 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
E1.2
selecting and using appropriate mathematical techniques for problems and situations

30. Correlation and regression (Slide 1 of 3)
Continued on next page
Subject content:
Online resources:
S7.1
recognising when pairs of data are uncorrelated, correlated, strongly correlated, positively correlated and negatively correlated
DISCUSS Regression and Correlation - Nuffield Foundation
Anthropometric Data - 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 Password: Critical 1)
Population data – Core Maths
Investigating the relationship between height and handspan – Teachit Maths
S7.2
appreciating that correlation does not necessarily imply causation
understanding the idea of an outlier
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 from – 1 to + 1
S8.3
appreciating the significance of a positive, zero or negative value of pmcc in terms of correlation of data
View next page

31. Return to previous page
Correlation and regression (Slide 2 of 3)
Continued on next page
Subject content:
Online resources:
S9.1
the plotting of data pairs on scatter diagrams and the drawing, by eye, of a line of best fit through the mean point (the idea of residuals will not be required)
DISCUSS Regression and Correlation - Nuffield Foundation
Anthropometric Data - Nuffield Foundation
Mammals - Nuffield Foundation
Correlation and Regression - TES
S9.2
understanding the concept of a regression line
S9.3
plotting a regression line from its equation
S9.4
using interpolation with regression lines to make predictions
S9.5
understanding that there are problems concerning extrapolation
S10.1
where raw data is given, candidates will be expected to use a calculator to calculate the pmcc and the equation of the regression line (calculations from grouped data will not be required)
Pearson’s Correlation Coefficient - Statstutor
Return to previous page

32. Return to previous page
Correlation and regression (Slide 3 of 3)
Subject content:
Online resources:
C1.1
presenting logical and reasoned arguments in context
criticising the arguments of others
communicating mathematical approaches and solutions
DISCUSS Regression and Correlation - Nuffield Foundation
Anthropometric Data - Nuffield Foundation
Mammals - Nuffield Foundation
Return to previous page

33. Expectation (Slide 1 of 2)
Continued on next page
Subject content:
Online resources:
R4.1
understanding that uncertain outcomes can be modelled as random events with estimated probabilities
knowing that the probabilities of an exhaustive set of outcomes sum to one
Probability - Nuffield Foundation
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)
Fitting Numbers - Core Maths
Wheels of Fortune – Core Maths
Champion of the World – Core Maths
Fitting Numbers – Core Maths
Russian Fable – Core Maths
Special Dice – Core Maths
Matching events with probabilities – Teachit Maths
R4.2
applying ideas of randomness, fairness and equally likely events to calculate expected outcomes
R5.1
understanding and applying Venn diagrams and simple tree diagrams
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
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
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Expectation (Slide 2 of 2)
Subject content:
Online resources:
R7.1
calculating the expected value of quantities such as financial loss or gain
Scams Resource (Username: mei-criticalmaths Password: Critical1)
Pinball Wizard – Core Maths
The Secret of Winning – Core Maths C1
presenting logical and reasoned arguments in context
criticising the arguments of others
communicating mathematical approaches and solutions
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35. Rates of change (slide 1 of 2)
Continued on next page
Subject content:
Online resources:
G3.1
interpreting the gradient of a straight line graph as a rate of change
Test Run - Nuffield Foundation
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 instantaneous rate of change
G3.3
estimating rates of change for functions from their graphs
G4.1
Tour de France problem solving – TES
Speed time graphs - TES
The story of a distance time graph = Teachit Maths
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36. Return to previous page
Rates of change (slide 2 of 2)
Subject content:
Online resources:
G5.1
knowing that the gradient of a distance–time graph represents speed and that the gradient of a velocity–time graph represents acceleration
Test Run - Nuffield Foundation
Model the Motion - Nuffield Foundation C1
presenting logical and reasoned arguments in context
criticising the arguments of others
communicating mathematical approaches and solutions
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37. student loans and mortgages Annual Percentage Rate (APR)
Repayments and credit
Subject content:
Online resources:
F4.1
student loans and mortgages
Annual Percentage Rate (APR)
Credit Cards - Nuffield Foundation
APR - Nuffield Foundation
Financial Calculations - Nuffield Foundation
Inflation Indices - Nuffield Foundation
Compound Interest – MEI (Username: mei-imps Password: imps)
Student Loans 1 – MEI (Username: mei-imps Password: imps)
Student Loans 2 – MEI (Username: mei-imps Password: imps)
Student Loans Company website
Money Advice Service website
Stop Loan Sharks (lessons for year olds) – Pfeg
Adding up to a Lifetime
Money Sense – Credit and Debt - Natwest
E1.2
selecting and using appropriate mathematical techniques for problems and situations

38. Taxation: Value Added Tax (VAT)
Subject content:
Online resources:
F6.1
Taxation: Value Added Tax (VAT)
Government Spending and VAT - TES
Money Advice Service website
HMRC website
Adding up to a Lifetime
E1.2
selecting and using appropriate mathematical techniques for problems and situations

39. Limits of accuracy
Subject content:
Online resources:
F1.3
applying and interpreting limits of accuracy, specifying simple error intervals due to truncation or rounding
Error Bounds, Limits of Accuracy in Measurement – TES
Limits of Accuracy homework – TES
Limits of accuracy powerpoint and worksheet - TES

40. Probabilities and estimation (Slide 1 of 2)
Continued on next page
Subject content:
Online resources:
S4.1
understand what is meant by the term ‘population’ in statistical terms
S4.2
developing ideas of sampling to include the concept of a simple random sample from a population
S5.1
knowing that the mean of a sample is called a ‘point estimate’ for the mean of the population appreciating that accuracy is likely to be improved by increasing the sample size
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41. Return to previous page
Probabilities and estimation (Slide 2 of 2)
Subject content:
Online resources:
S6.1 C1
presenting logical and reasoned arguments in context
criticising the arguments of others
communicating mathematical approaches and solutions
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42. 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
Scams Resource (Username: mei-criticalmaths Password: Critical1)
Making decisions involving risk (Username: mei-criticalmaths Password: Critical1)
R9.1
Control measures: understanding that the actions that can be taken to reduce or prevent specific risks may have their own costs (to include the costs and benefits of insurance)
R10.1
using probabilities to calculate expected values of costs and 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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43. Return to previous page
Cost benefit analysis (Slide 2 of 2)
Subject content:
Online resources:
R10.2
understanding that calculating an expected value is an important part of such decision making
Scams Resource (Username: mei-criticalmaths Password: Critical1)
Making decisions involving risk (Username: mei-criticalmaths Password: Critical1) C1
presenting logical and reasoned arguments in context
criticising the arguments of others
communicating mathematical approaches and solutions
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44. Exponential Functions (Slide 1 of 2)
Continued on next page
Subject content:
Online resources:
G6.1
Climate Prediction - Nuffield Foundation
Gas Guzzlers - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
How Frequent are Earthquakes? - Nuffield Foundation
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)
Exponential growth – MEI (Username: mei-imps Password: imps)
Growth and Decay - Core Maths
Vampires – Core Maths
G6.2
G7.1
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45. Return to previous page
Exponential Functions (Slide 2 of 2)
Subject content:
Online resources:
G8.2
using exponential functions to model growth and decay in various contexts
Climate Prediction - Nuffield Foundation
Gas Guzzlers - Nuffield Foundation
Cup of Coffee - Nuffield Foundation
How Frequent are Earthquakes? - Nuffield Foundation
Smoke Strata - Nuffield Foundation
Growth and Decay - Nuffield Foundations
Exponential growth – MEI (Username: mei-imps Password: imps)
Growth and Decay - Core Maths
Studying Bacteria – Teachit Maths
G8.1 C1
presenting logical and reasoned arguments in context
criticising the arguments of others
communicating mathematical approaches and solutions
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46. Taxation: Income Tax and National Insurance
Subject content:
Online resources:
F6.1
Taxation: income tax, National Insurance
Income Tax - Nuffield Foundation
National Insurance - Nuffield Foundation
HMRC website
E1.2
selecting and using appropriate mathematical techniques for problems and situations