Monday, April 30, 2007

Term 2 Week 2

Knowing Geometry is critical to many forms of construction

This week we continue exploring Geometrical figures - we have looked at parallel lines, and the angles made by a third line crossing them, now we move on to defining and understanding triangles.

The various options all have mathematical names:

If all three sides are different lengths, it is a 'Scalene'
If two sides are the same length it is 'Isosceles'
If all three sides are the same it is 'Equilateral'
If all angles are <> 90 (blunt looking) then it is 'Obtuse-angled'
If one angle is = 90 then it is a 'Right-angled' triangle

Students also should discover that the angles inside ALL triangles always add up to 180 degrees.

Students should be able to identify the different types and solve problems based on the properties of each type. For example if a triangle has two sides the same, and the angle between those sides is 40 degrees, then from the knowledge of Isosceles triangles students should be able to work out that the other two angles are the same, and that they are equal to 70 degrees.

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