Lesson 21
Cylinders, Cones, and Spheres
Lesson Narrative
In this lesson, students use the formula for the volume of a sphere to solve various problems. They have opportunities to analyze common errors that people make when using this formula. They also use the structure of an equation to find the radius of a sphere when they know its volume. Finally, they have opportunities to practice using all of the new volume formulas they have learned in this unit to solve mixed problems with spheres, cylinders, and cones, reasoning about the effect of different dimensions on the volume of different figures.
Learning Goals
Teacher Facing
- Calculate the value of the radius of a sphere with a given volume using the structure of the equation, and explain (orally) the solution method.
- Determine what information is needed to solve a problem involving volumes of cones, cylinders, and spheres. Ask questions to elicit that information.
Student Facing
Let’s find the volume of shapes.
Required Materials
Required Preparation
Print and cut up slips from the Info Gap: Unknown Dimensions blackline master. Prepare 1 set of slips for every 2 students. Provide students with access to make a visual display during the Lesson Synthesis.
Learning Targets
Student Facing
- I can find the radius of a sphere if I know its volume.
- I can solve mathematical and real-world problems about the volume of cylinders, cones, and spheres.
CCSS Standards
Addressing
Print Formatted Materials
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| Student Task Statements | docx | |
| Cumulative Practice Problem Set | docx | |
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| Teacher Guide | Log In | |
| Teacher Presentation Materials | docx | |
| Blackline Masters | zip |