Lesson 2 · Triangle, Quadrilateral and Polygon

Constructing Triangles Presentation

MathematicsSubject
15 minEstimated read
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Unit 2 · Triangle, Quadrilateral and Polygon

Constructing Triangles

Mathematics · Grade 7

What You Will Be Able To Do

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Construct a triangle from three sides, from two sides and the angle between, or from two angles and the side between

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Read a question and say which of the three cases it is before drawing anything

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Decide in advance whether a triangle is even possible

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Explain why three angles are not enough and why a triangle is rigid

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A triangle has six measurements: three sides and three angles. You do not need all six. You need exactly three, and they have to be the right three.

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Presenter notes: Open with a challenge rather than a definition. Tell the class you are thinking of a triangle and you will answer questions about it, one at a time, and they have to work out how many questions they need before they could draw your exact triangle. Let them ask. After one answer they cannot draw it, after two they still cannot, and after three of the right kind they can. Somebody will ask for all three angles and get stuck, which is the best thing that can happen, because it sets up the AAA case for later. Then name the lesson: how many facts, and which facts, pin a triangle down.