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Cubic, Tangent, Circle

The graph of a cubic function with three real roots is drawn. A circle is then drawn so that the circumference of the circle passes through two adjacent roots. A tangent to...

Hyper-parabola

A hyperbola is given with a parabola ax2  touching each branch of the hyperbola at single points. The task is to determine the value of a.

A formal proof of the general situation involves substituting the equation of the parabola into the equation of the hyperbola. The...

Infographics at the National Cyber Security Centre

These resources constitute a range of infographics (posters) about various...

Rebuilding design and technology

This Working Paper has been written to inform all those who are concerned about the status and nature of Design & Technology in the secondary school curriculum. It has been developed in response to the serious and continuing decline in the uptake of GCSE Design & Technology since the subject was introduced...

Divide and conquer

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Geocraft -Giant's Causeway

These resources consist of lesson plans, worksheets, Minecraft Maps (Raspberry Pi version) for the area around the Giant's Causeway in Northern Ireland, and some general how to guides. The guides take teachers through the steps to update a Raspberry Pi, and install one of the Giant's Causeway maps into the correct...

Raspberry Pi Networking

This resource details an activity where students set up their own network of Raspberry Pis in a classroom, using another machine as their server. As with all of these sorts of activities, it is highly recommended to work through the whoole activity first, downloading the required software ahead of a lesson and...

The Shortest Race

The introduction to this problem involves modelling a race from one tree to another, and the requirement to touch a fence on the way. The challenge is to determine the...

A Fractional Sequence

The initial investigation uses an inductive formula and two initial values to derive a sequence that results in a series of fractions before returning to the initial two values of the sequence. A spreadsheet is provided that performs the calculations given in the inductive formula. This is helpful for both checking...

Area Between Parabolas

Two parabolas are shown, one with a positive quadratic coefficient, the other with a negative quadratic coefficient. Each has the same linear coefficient and between the...

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