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Exploring Dotty Grids at Upper Secondary

Exploring dotty grids at upper secondary

The problems below are all taken from our recent dotty grids resources for Lower Secondary students. We've chosen to feature them on the Upper Secondary page because they all have scope for some interesting mathematical investigation at a higher level. We invite you to explore the problems and then send in your thoughts via Advanced Mathematics on Dotty Grids.

An Appearing Act 
Age 11 to 16

Cut out and reassemble the pieces. Can you explain what happens?

Areas from Vectors 
Age 11 to 16

Use the applet to explore the area of a parallelogram and how it relates to vectors.

Find the Metagiff 
Age 11 to 16
Challenge Level Yellow star

Play the game. How many guesses do you need to find the Metagiff?

Getting Round the City 
Age 11 to 16

In a city with a grid system of roads, how do you get from A to B?

Advanced Mathematics on Dotty Grids Live
Age 14 to 18
Challenge Level Yellow star

A dotty grid is a very simple mathematical structure that offers potential for very deep thought...

Related

  • Vectors
  • Coordinate Geometry and Graphs

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Patterns in Number Sequences

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Reasoning Geometrically

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Reasoning with Numbers

These resources are designed to get you thinking about reasoning with numbers.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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