Lesson 11
All Kinds of Prisms
Lesson Purpose
The mathematical purpose of this lesson is for students to apply what they
have learned about finding the volumes of right rectangular prisms and figures composed of right
rectangular prisms to solve real-world problems.
Lesson Narrative
In previous lessons, students learned to find the volume of a right
rectangular prism by multiplying the number of cubes in a layer by the number of layers. They
found the volumes of rectangular prisms with and without the unit cubes showing. They used the
associative property of multiplication to represent threefold whole-number products as volumes
and learned to find the volume of rectangular prisms with whole-number side lengths by
multiplying the length by the width by the height and multiplying the area of the base times the
height. They also understand volume as additive. They found volumes of solid figures composed of
two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts.
In this lesson, students apply these understandings to solve real-world problems.
- Action and Expression
- MLR6
Learning Goals
Teacher Facing
-
Solve real-world and mathematical problems involving volume.
Student Facing
- Let’s find the volume of all different kinds of prisms.
Required Preparation
Lesson Timeline
Warm-up | 10 min |
Activity 1 | 20 min |
Activity 2 | 15 min |
Lesson Synthesis | 10 min |
Cool-down | 5 min |
Teacher Reflection Questions
As you finish up this unit, reflect on the norms and activities that have
supported each student in learning math. How have you seen each student grow as a young
mathematician throughout this work? How have you seen yourself grow as a teacher? What will you
continue to do and what will you improve on in Unit 2?
Suggested Centers
- Five in a Row: Multiplication (3–5), Stage 4: Three Factors (Addressing)
- Rolling for Fractions (3–5), Stage 2: Multiply a Fraction by a Whole Number (Supporting)