Exploration based on the simple environment of a dotty grid can lead students to important mathematical insights about polygons, area, coordinates, and vectors. In this feature, we suggest fruitful starting points to explore with your students, together with advice on how the ideas can be developed in the classroom.
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Dotty grids in the classroom
This article suggests ways in which a dotty grid can be used in the classroom as an environment for rich exploration
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Exploring area
I wonder what we can find out about the areas of polygons drawn on dotty grids...
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Exploring coordinates and vectors
I wonder what we can find out when using coordinates and vectors on dotty grids...
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Angles, polygons and geometrical proof: Age 11-14
Working on these problems will help your students develop a better understanding of angles, polygons and proof.
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Perimeter, area and volume: Age 11-14
Working on these problems will help your students develop a better understanding of perimeter, area and volume.
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Vectors: Age 11-16
Working on these problems will help your students develop a better understanding of vectors.
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Conjecturing and generalising - Secondary teachers
These problems will offer opportunities for your students to use specific examples as a springboard to generalising.