Graphing Inequalities

Thinking about resources to show students how to graph linear inequalities, I can use Autograph in the classroom as I often do but I am always keen to show them resources they can use at home.

The Desmos graphing calculator handles inequalities very well, unlike many free graph plotters it is easy to plot lines of the form x=k. Click on this image to see these inequalities on the Desmos calculator. See also this post on Mathematics for Students.

Desmos Inequalities
Experiment with these inequalities on the Desmos graphing calculator.

The Holt Online graphing calculator can deal with inequalities (though it cannot plot line of the form x=k) and gives a very clear display.

To enter an inequality, click on the equals sign, then select the required choice:

Up to four inequalities can be entered.

I am puzzled by WolframAlpha currently as I thought this would be an obvious resource to use. The inequalities examples here are fine,  however I don’t think this inequality plot for x+y<5 would help my students much!

Mathematics Excel Files

For a site with an extensive collection of Excel files for both GCSE and A level – see Mike Hadden’s MathsFiles site.
There are other  resources also, including some for Autograph.

A useful feature to help explore the Excel files is the option to see a screenshot.
notes screenshot

These spreadsheets could be usefully used for demonstrations in the classroom and students could then study the examples further themselves.

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WolframAlpha – Further Resources

WolframAlpha now has a dedicated page (and sub-pages) on this blog to make resources easy to find.
Hover over a page tab to see any associated pages.

Check Fred Feldon’s presentation on Slideshare which discusses the implications of WolframAlpha for Mathematics education and also includes many examples.

Rich Tasks

See updated page.

Rich Questions – my post on resources which give questions requiring higher order thinking skills.

Nrich has extensive resources. Jennifer Piggot has written an article on Integrating Rich Tasks, this includes a complete series of professional development resources designed to support teachers to integrate rich tasks into classroom practice. Their curriculum mapping documents provide a helpful way for teachers to find resources. Also note the Nrich Packages, these include a set of tasks on working systematically and the Nrich poster collection (scroll down to the bottom of the poster collection page to download the collection as a PowerPoint presentation).

The Nuffield AMP Investigations are designed to teach and assess key mathematical processes. Each task has detailed teacher notes.

New Bowland shorter assessment tasks include worksheets, notes and an optional presentation in three different formats, Word, pdf or PowerPoint.

From AQA comes an outstanding resource, ‘Problem Solving Questions’. The teachers guide includes indices by topic and also by process.
(Direct links to the guide and solutions.)

From OCR see Investigations for GCSE Mathematics, their A03 Guide and an excellent problem solving pack with tasks designed to encourage students to explore different mathematical approaches to a new problem.

Jon Stratford’s Rich Maths Tasks site has extensive resources, note the Key Processes under Pedagogy includes cards to download in pupil speak.

The National Strategies archive includes several problems to develop mathematical processes and applications. Teachers’ notes and all resources are provided.

For older students (16+) try Jonny Griffiths’ RISPS (Rich Starting Points). Note he also has a companion Statistics site and Carom-Maths -activities to bridge the gap between A Level and University