# 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. *

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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

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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

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Car bonnet *teacher contribution *

Students are asked to consider linear approximations to temperature data.

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#### 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

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#### 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.

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Spreadsheet

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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.

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Earthquakes log version *teacher contribution *

Uses natural logs to find an equation connecting the energy released by an earthquake and its Richter value.

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#### Graphic calculators

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

Slides

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Graphic calculator equations *teacher contribution *

A variety of equations to provide practice in using a graphic calculator.

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#### Graphs of functions in Excel 2003

How to draw graphs of algebraic functions in Excel.

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Graphs of functions in Excel 2007 * teacher contribution *

How to draw graphs of algebraic functions in Excel.

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#### 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.

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Spreadsheet

#### Linear inequalities

Slide presentation and activity introducing the graphical illustration of linear inequalities.

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Slides Spreadsheet

#### Linear programming

Slide presentation and activity in which inequalities are used to solve problems in real contexts.

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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.

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Model the path of a golf ball *teacher contribution*

Students consider linear and quadratic models for the path of a golf ball.

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#### Mortality

Article involving the historical development of the theory of mortality used by insurance companies and questions based on the article.

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Population growth *teacher contribution *

Students use a given exponential function to model population data, then consider predictions made by the model.

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#### Power to the people

Article explaining how electricity is distributed as alternating current using trigonometric functions to model the alternating voltages involved.

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#### Queues

Students use random numbers to simulate the queue that builds up in a newsagent's shop.

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#### 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

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SARS B * teacher contribution*

An alternative approach to the SARS activity.

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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.

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#### Simultaneous equations on a graphics calculator

Instructions for using the CASIO fx-7400G PLUS calculator to solve simultaneous equations.

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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.

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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

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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