8.7 - Volume

 Introduction:

This is a set of guiding questions and materials for creating your own lesson plan that introduces the concept of volume, along with some volume formulas.

 Common Core State Standards:

• G-GMD.1
• G-GMD.3

 Guiding Questions:

• What is volume?
• Volume is a measurement of space.
• How can we measure volume?
• What is the volume of a rectangular box of dimensions $w,\:l,\:h$?
• $V=wlh$
• What is the volume of a cylinder of height $h$ and radius $r$?
• Use the idea of a rectangular box (area of the base x height) to construct the formula for the volume of a cylinder.
• $V=\pi r^2h$
• What is the volume of a cone?
• Show the video below, or better yet, do the demo shown in the video in your classroom.
• $V=\frac{Bh}{3}=\frac{\pi r^2h}{3}$, where $B$ is the area of the base of the cylinder (a circle) and $h$is the height.
• What is the volume of a pyramid?
• Use the idea for the formula of a cone to find the formula for the volume of a pyramid.
• $V=\frac{Bh}{3}$, where $B$ is the base and $h$ is the height.

• Volume of a cone Links to an external site.
• Volume of a pyramid Links to an external site.
• Volume of a sphere Links to an external site.