Lesson: Equality of the Areas of Two Parallelograms Mathematics • Second Year of Preparatory School

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In this lesson, we will learn how to identify parallelograms 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.

Lesson Plan

Students will be able to

prove that two parallelograms between two parallel straight lines with a common base, or bases of equal length, have the same area,
identify when two parallelograms have the same area,
find the area of a parallelogram given the area of another parallelogram that shares the same base,
find base lengths and heights of parallelograms given the area of another parallelogram,
understand that a parallelogram and a rectangle that are between the same pair of parallel lines and share a common base have the same area,
understand that if a triangle shares a base with a parallelogram and its other vertex lies on the opposite edge of the parallelogram, then the area of the triangle is half of that of the parallelogram.