# FSMQ Level 2 Algebra and graphs activities - 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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Algebraic expressions

Slide presentation, Information sheet, practice sheet and application to perimeters and areas.

Slides

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Boyle's Law

Data sheet giving pressure and volume of a fixed mass of gas and an assignment and questions based on this experimental data.

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Circuit boards *Teacher contribution *

Students investigate the cost efficiency of two machines using graphical and algebraic techniques. Includes a guidance sheet.

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Experiments *Teacher contribution *

List of seven experiments that generate linear and non-linear data. Students are asked to find appropriate algebraic models.

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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

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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

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Linear relationships *Teacher contribution*

Example and exercise involving proportionality and other linear relationships in scientific contexts.

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Match linear functions and graphs

Twelve sets of cards, each containing a linear graph, its equation and the real situation it represents – for students to match.

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Non-linear functions and graphs** **

Students draw graphs from data and formulae then use them to solve problems in real contexts.

Slides

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Quadratic factors and graphs

Twelve sets of cards. Each set has a quadratic graph and its equation in factorised form and expanded form. Students match each graph with one or both of its equations. Can also be used later for practice in factorising quadratics. Student and teacher notes Word Student and teacher notes pdf

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Quadratic formula

Two examples introducing the quadratic formula and set of similar equations to solve.

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Quadratic graphs

Presentation, notes and exercise on drawing quadratic graphs and using them to solve equations.

Slides

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Shoot *Teacher contribution** *

Students investigate the distance travelled by an object rolling down an inclined plane using graphical and algebraic techniques.

Student and teacher notes Word Student and teacher notes pdf