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Lesson Plan: Equality of the Areas of Two Triangles Mathematics • Second Year of Preparatory School
This lesson plan includes the objectives and prerequisites of the lesson teaching students how to identify triangles that have the same area when their bases are equal in length and the vertices opposite to these bases are on a parallel line to them.
Objectives
Students will be able to
- prove that two triangles have the same area if they have the same base and the vertices opposite to that base are on a line that is parallel to the base,
- identify that when two triangles lie between two parallel lines and have the same length base, then they have the same area,
- understand that the median of a triangle divides it into two parts equal in area,
- understand that triangles that have congruent bases on the same straight line and have a common vertex opposite the bases are equal in area,
- use triangles of equal area to solve geometric problems,
- prove that if two triangles share a base and have equal area, then the vertices opposite the base lie on a straight line parallel to the base.
Prerequisites
Students should already be familiar with
- equality of the areas of two parallelograms,
- the formula for the area of a triangle,
- medians of triangles.
