Currently viewing the tag: "Geometric proof"
Click here for the Tri Fold GTEN workshop video that provides learning activities and suggestions for teaching about geometry. For primary teaching we lay the foundations for later learning. We plant the seeds, and we begin to cultivate insights, visualization and understanding of mathematics. Practical experiences underpin later abstract thinking. For […]
Take any triangle and label it ABC with A as the largest angle. Fold the triangle along PQ, PS and QT where the points P and Q are the midpoints of AB and AC and PS and PT are perpendicular to BC.
What do you notice? Why does this happen? Will it […]
Activity 1: Finding the centre of the circle
You will need a cut-out paper circle (about 12cm diameter).
Use a circle that does not show the centre. Fold your circle along a diameter. Mark the ends A and B. Now unfold your circle and then fold again along a different diameter and mark the […]
There are hundreds of proofs of Pythagoras Theorem.
This diagram shows a proof.
Look carefully. Can you see three squares?
Assuming that they are squares, can you prove that four of the triangles are congruent?
Can you now write down a proof of Pythagoras’ Theorem and explain the proof?
The second diagram […]
This shape is an equilateral triangle sitting on top of a square.
What is the radius of the circle that circumscribes the shape?
Click here for a hint if you need one to get started.
Click here for the Notes for Teachers.
Click here for the ENCIRCLING poster.
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This rectangle measures three units by one unit.
The diagram shows three angles a, b and c.
How many ways can you prove that a + b = c?
What other interesting properties can you find?
When this activity was originally published on NRICH, two boys from Madras School in St Andrew’s, Scotland sent […]
The point E is inside the square ABCD and AEB is an equilateral triangle. Find the angles EBC, BEC and ECD and give reasons for your answers.
Click for Teacher-Notes-GEO-PROB.
Click for the GEO PROB poster.
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