Volume of Compound Figures
Volume of Compound Figures
Objectives
In this lesson, students will find the volume of compound figures by decomposing the figures into right-rectangular prisms. The lesson begins with a concrete representation of compound figures using cubic-centimeter blocks, and then moves to abstract pictures or sketches of compound figures. Students will:
- compute the volumes of compound figures comprised of rectangular prisms.
Essential Questions
- When is it appropriate to estimate versus calculate?
- What makes a tool and/or strategy appropriate for a given task?
- Why does what we measure influence how we measure?
- In what ways are the mathematical attributes of objects or processes measured, calculated, and/or interpreted?
- How precise do measurements and calculations need to be?
Vocabulary
- Cubic Unit: A unit for measuring volume.
- Customary System: A system of weights and measures frequently used in the United States. The basic unit of weight is the pound; the basic unit of capacity is the quart.
- Measurement Unit: A specific quantity used as a standard of measurement.
- Metric System: A system of measurements used throughout the world based on factors of 10. It includes measures of length, weight, and capacity.
- Volume: The amount of space enclosed in a solid (3-dimensional) figure. Volume is measured in cubic units.
Duration
90–120 minutes
Prerequisite Skills
Prerequisite Skills haven't been entered into the lesson plan.
Materials
- cubic centimeter cubes
- copies of Volume of Compound Figures practice worksheet (M-5-1-2_Volume of Compound Figures and KEY.docx)
- copies of Compound Figures practice worksheet (M-5-1-2_Compound Figures Practice Worksheet and KEY.docx)
- copies of the Lesson 2 Exit Ticket (M-5-1-2_Lesson 2 Exit Ticket and KEY.docx)
Related Unit and Lesson Plans
Related Materials & Resources
The possible inclusion of commercial websites below is not an implied endorsement of their products, which are not free, and are not required for this lesson plan.
- Volume of compound figures game:
http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/VolumeShapesShoot.htm
Formative Assessment
Suggested Instructional Supports
Instructional Procedures
Related Instructional Videos
Note: Video playback may not work on all devices.
Instructional videos haven't been assigned to the lesson plan.
Final 07/12/2013