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The interactive screens section this month is based on two downloadable Excel files:
Products on a Number Grid and Number Grid Functions .

These were two GCSE coursework introductions.

They are made available here for teachers who might wish to present these investigations to their students using the Excel files.

But if these examples stimulate other similar presentations, so much the better.

"Products on a Number Grid" invites students to notice that the product formed by the values in opposite corners of a rectangle on a number grid maintain a constant difference for all positions of a rectangle of a fixed size.

"Number Grid Functions" is a more general treatment. Here students are invited to consider the effect of translations around a number grid of varying width, first of a simple sum, but beyond that to other operations or functions.

Interactivities. Visualising. Rotations. Games. Making and proving conjectures. Mathematical reasoning & proof. Learning through exploration. Complex numbers. Spreadsheets. Dynamic geometry.