Nuffield Mathematics teaching resources are for use in secondary and further education

FSMQ Level 3 Algebra and graphs - original activities

These Nuffield  activities are needed for the AQA courses in Free-Standing Maths and Use of Maths but have not been revised by Nuffield. See also the revised activities.

Broadband all units 

Slides for Broadband A, B and C 
Spreadsheet for Broadband A, B and C
  

Broadband A spreadsheet version

How to use Excel to find a quadratic model for the growth in broadband connections (2004)  
Student and teacher notes Word
   Student and teacher notes pdf  

Broadband B calculator version 

How to use a graphic calculator to find a quadratic model for the growth in broadband connections (2004)  
Student and teacher notes Word
   Student and teacher notes pdf

Broadband C algebra version

How to use algebra to find a quadratic model for the growth in broadband connections (2004)  
Student and teacher notes Word
   Student and teacher notes pdf   

Calculator tables  teacher contribution

Students use the calculator’s table function to complete tables for bird population and temperature models then draw and use the corresponding graph.   
Student and teacher notes Word
   Student and teacher notes pdf   

Car bonnet teacher contribution 

Students are asked to consider linear approximations to temperature data.  
Student and teacher notes Word
  Student and teacher notes pdf   

Casio calculator: Using the CASIO fx-7400G PLUS  

Notes on how to use this calculator - includes how to draw the graph of a function, investigate how well a model fits data and how to find a model  

Student and teacher notes Word   Student and teacher notes pdf  

Chaotic population  

Students use a graphic calculator, then a spreadsheet, to investigate a recurrence relation which simulates population changes, some of which exhibit chaotic behaviour. 
Student and teacher notes Word
  Student and teacher notes pdf  
Spreadsheet  

Earthquakes ln version teacher contribution  

Uses logs to base 10 to find an equation connecting the energy released by an earthquake and its Richter value.  
Student and teacher notes Word
  Student and teacher notes pdf 

Earthquakes log version teacher contribution  

Uses natural logs to find an equation connecting the energy released by an earthquake and its Richter value.   
Student and teacher notes Word
  Student and teacher notes pdf

Graphic calculators   

Presentation introducing students to the Casio fx-7400G PLUS calculator. 
Slides  

Graphic calculator equations teacher contribution

A variety of equations to provide practice in using a graphic calculator.  
Student and teacher notes Word
   Student and teacher notes pdf  

Graphs of functions in Excel 2003  

How to draw graphs of algebraic functions in Excel.  
Student and teacher notes Word
   Student and teacher notes pdf  

Graphs of functions in Excel 2007  teacher contribution   

How to draw graphs of algebraic functions in Excel.   
Student and teacher notes Word
  Student and teacher notes pdf

Growth and decay

presentation that uses compound interest and radioactive decay to introduce exponential growth and decay.   
Slides

Interactive graphs  

Interactive spreadsheet graphs introduce the shape and main features of proportional, linear, quadratic and power graphs.   
Student and teacher notes Word
   Student and teacher notes pdf  
Spreadsheet  

Linear inequalities  

Slide presentation and activity introducing the graphical illustration of linear inequalities. 
Student and teacher notes Word
   Student and teacher notes pdf  
Slides    Spreadsheet   

Linear programming 

Slide presentation and activity in which inequalities are used to solve problems in real contexts.
Student and teacher notes Word
   Student and teacher notes pdf  
Slides

Match linear functions and graphs 

12 sets of cards, each containing a linear graph, its equation and the real situation it represents – for students to match.   
Student and teacher notes Word
   Student and teacher notes pdf   

Model the path of a golf ball  teacher contribution

Students consider linear and quadratic models for the path of a golf ball.   
Student and teacher notes Word
   Student and teacher notes pdf   

Mortality  

Article involving the historical development of the theory of mortality used by insurance companies and questions based on the article.  
Student and teacher notes Word
   Student and teacher notes pdf  

Population growth  teacher contribution

Students use a given exponential function to model population data, then consider predictions made by the model.  
Student and teacher notes Word
   Student and teacher notes pdf    

Power to the people  

Article explaining how electricity is distributed as alternating current using trigonometric functions to model the alternating voltages involved.  
Student and teacher notes Word
   Student and teacher notes pdf  

Queues  

Students use random numbers to simulate the queue that builds up in a newsagent's shop. 
Student and teacher notes Word
   Student and teacher notes pdf   

SARS A  

Data set giving the number of deaths from SARS in 2003. Students choose, draw and evaluate functions to model the data.  
Student and teacher notes pdf
     Spreadsheet   

SARS B  teacher contribution

An alternative approach to the SARS activity.   
Student and teacher notes Word
   Student and teacher notes pdf  

Sea defence wall  teacher contribution 

Students find functions to model the outline of a sea defence wall. The first version encourages students to work independently, the second is for less able students.  
Student and teacher notes Word
   Student and teacher notes pdf  

Simultaneous equations on a graphics calculator  

Instructions for using the CASIO fx-7400G PLUS calculator to solve simultaneous equations.  
Student and teacher notes Word
   Student and teacher notes pdf  

Sunrise and sunset  teacher contribution 

Students find and evaluate trigonometric functions to model how the amount of daylight varies with the day of the year. Includes data for Adelaide, Brisbane and London.   
Student and teacher notes Word
   Student and teacher notes pdf 

Two on a line and three on a parabola  teacher contribution  

Enter the coordinates of two points in the first spreadsheet - the spreadsheet gives the values of m and c for the linear function whose graph passes through the points. Enter the coordinates of three points in the second spreadsheet and it gives the coefficients of the quadratic function whose graph passes through them.  
Part 1 spreadsheet
   Part 2 spreadsheet 

Tides  

Data set giving the water depth each hour during a day. Students choose, draw and evaluate functions to model the data.  
Student and teacher notes Word
   Student and teacher notes pdf  
Spreadsheet   

Tin can design teacher contribution

Students design a tin can, using algebraic and graphical techniques
Student and teacher notes Word
   Student and teacher notes pdf