INNOVATIVE LESSON PLAN

RENJINI K.RB.Ed MATHEMATICSREG NO: 13304009

Area of Parallelograms

Standard 8

Goal

Find the area of parallelograms.

Key Vocabulary

Base of a parallelogramHeight of a parallelogramParallelogramRhombus

Parallelogram

A parallelogram is a quadrilateral where the opposite sides are congruent and parallel.A rectangle is a type of parallelogram, but we often see parallelograms that are not rectangles (parallelograms without right angles).

The Base of a Parallelogram

Either pair of parallel sides of a parallelogram are called the bases of the parallelogram.

base

base

baseba

se

The Height of a Parallelogram

The shortest distance (perpendicular distance) between the bases of a parallelogram is called the height of the parallelogram.The height of the parallelogram is always perpendicular to the bases.

What is the area of this parallelogram?

b=base

h=height

Area of Parallelogram

What is the area of this parallelogram?

CUT HERE!

b=base

h=height

Area of Parallelogram

What is the area of this parallelogram?

MOVE TO HERE!

b=base

h=height

Area of Parallelogram

It’s the same as the area of this rectangle

h=height

b=base

Area of Parallelogram

Arearectangle= base x height(perpendicular height h)

h=height

b=base

Area of Parallelogram

Areaparallelogram = base x height(perpendicular height h)

b=base

h=height

Area of Parallelogram

b

h

Area of Parallelogram

Words: Area =(base)(height)

Symbols: A = bh

Very Important: The height must be perpendicular to the base.

Find the Area of a ParallelogramExample 1

Find the area of the parallelogram.

SOLUTION

Use the formula for the area of a parallelogram.Substitute 9 for b and 6 for h.

A = bh Formula for the area of a parallelogram

= (9)(6) Substitute 9 for b and 6 for h.

= 54 Multiply.

The parallelogram has an area of 54 square meters.

ANSWER