Tridots
Find all the triangles that can be drawn by joining dots.
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There is a printable worksheet to go with this activity.
SuggestedPolygon Areas Investigate which polygons have an area of 4 square units on this interactive dotty grid. |
SuggestedQuad Areas Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid. |
SuggestedArea Two How many different shapes with an area of 2 square units can you make by joining dots on this grid with straight lines? |
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A mathematical investigation is quite different to other mathematical activities. The best investigations are open ended and allow students to choose the way they work and how they record their findings. It is one of the few occasions when 'going off on a tangent' is not only acceptable but actively encouraged (within reason).
Students may ask for 'the answers' but this supposes that the activity is
closed. Investigations can always be extended by varying the initial
instructions or asking the question 'what if...?'. Sometimes students point out
that the instructions are ambiguous and can be interpreted in different ways.
This is fine and the students are encouraged to explain how they interpreted the
instructions in their report.
Some students may benefit from a writing frame when producing the reports
of their investigations. Teachers may suggest sections or headings such as
Introduction, Interpretation, Research, Working and Conclusion or something
similar.
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