1. Area and Volume

2. The concepts of this lesson will allow you to:
Find the Perimeter of an object
Find the Area of an object
Find the Volume of an object
The objectives of this lesson is to teach students ways to calculate dimensions of an object. Within examples and worksheets students will have the opportunity to find the area and volume of objects that have some of the basics shapes discussed.

3. Geometry Terms Discuss and Review
Area
Perimeter
Parallelograms
Volume
Prism
Ask the students if they can explain these terms.
Area: The number of square units within specific dimensions
Perimeter: The sum of the measurements with specific dimensions.
Parallelograms: A quadrilateral having its opposite sides parallel and equal.
Volume: a measure of an area with three dimensions, a height, width and height.
Prism: A prism is an object with bases that are similar, equivalent and and parallel polygons and whose sides are parallelograms.

4. Perimeter and Area of Basic Shapesl
P = 2l+2w or
2(l+w) or
l+w+l+w
Perimeter = 4s or
s+s+s+s
Area = s2 s w
A = lw
P = s1 + s2 + s3
C = 2r = d r
The square has sides that all equal each other.
The rectangle has measurements of length and width.
The triangle has a base and height. This is an example of an isosceles triangle. An isosceles triangle has at least 2 congruent sides. Congruent means equal, so the sides are equal.
The circle brings in the radius of a circle. The radius is the distance from the center of the circle to the outer points of the circle. In a cirle the radius is the same length no matter what outer point it ends with (as long as it starts at the radius). s
A = r2
A = ½ bh h b

5. Volume of Solids V = lwh V = s3 s s h s l w r h V = (4/3)r3 V = r2h
A cube is side times side times side. It is sides cubed. Depending on the measurements used, the units will be units cubed or units3.
A rectangular box or prism has a length, height and width. Multiply these three to find volume, again cubic units.
The cylinder has a radius and a height. Think of the area of the circle r2 and then to find the volume multiply the area by the height. You extruded the circle to give it a third dimension. Just like the squares and the rectangle.
The Sphere takes the radius cubed, multiplies it by pi and then by four thirds or ( (4/3) ). r h
V = (4/3)r3
V = r2h r

6. Review and Questions
Ask specific questions on Perimeter, Area and Volume. Give specific values and see if students can identify what you shape you are looking for. Also have them calculate P, A and V. Have them find their own object and see what shapes make it up and then have them calculate the volume of the object.