1. CH1 – Geometry & Trigonometry – VOLUME
Course/Section: MAP 4C Date: _ ______________________________
Lesson Big Idea: Calculating the volume of everyday shapes, such as a triangular prism and composite
figures, such as stairs.
Ministry Expectations:
C1.3 Solve problems involving the volumes and surface areas of rectangular prisms, triangular prisms, and
cylinders, and of related composite figures, in situations arising from real-world applications
C2.1 Recognize, through investigation using a variety of tools (e.g., calculators; dynamic geometry
software; manipulatives such as tiles, geoboards, toothpicks) and strategies (e.g., modeling; making a table of
values; graphing), and explain the significance of optimal perimeter, area, surface area, and volume in various
applications (e.g., the minimum amount of packaging material, the relationship between surface area and heat
loss)
Learning Goals:
Be able to find the volume of a composite figure.
Success Criteria:
I will know my students have attained these learning goals
if they will be able to separate a composite figure into its
component shapes and understand how to find the total
volume of the figure.
Before: Minds On
Time
:
Description Assessment Materials
Paper Rolling Experiment Theory
If I was to take a sheet of 8 ½ x 11 paper, and rolled it into a cylinder
two different ways (vertically and horizontally), which one would
carry a greater volume? Why?
Socratic
Questions
Blackboard
Transition from Minds On to Action:
By understanding that radius is a larger controlling factor compared
to height in determining the volume of a cylinder, we are able to
make predictions about the outcome of a given problem.

2. During: Action
Time
:
Description Assessment Materials
1. Today’s goal is to determine the volume of 3D shapes.
Triangular Prism, Cube, Rectangular Prism, Cylinder, Sphere, Cone,
Pyramid
2. Example 1: Volume of a Triangular Prism.
Step 1: Calculate the area of the triangular base.
Step 2: Multiply that area by the height (or depth) of the prism.
3. Example 2: Volume of a Cylinder.
4. Example 3: Volume of a Composite Figure.
Find the volume of the steps below by calculating the area of prism
A, then prism B, then adding them together.
Socratic
Questions
Blackboard
Jill wants to build a cylindrical fish
tank for her goldfish. The fish tank is
to be 45cm tall, and must hold 8L of
water. What is the minimum diameter
of the fish tank to the nearest
centimeter?

3. Consolidation
Time
:
Description Assessment Materials
1. A composite figure is a figure that's made up of several different
shapes.
2. We can just add their volumes to find the volume of the
composite figure.
Socratic
Questions
Blackboard
HOMEWORK:
Textbook Problems.