# Introduction to volume of 3D solids

Lesson 1 of 2

## Objective: SWBAT understand and apply the formulas for volume of cylinders, cones, and spheres.

#### Warm Up

*10 min*

Each day, students complete a Warmup that usually consists of spiraling the previous day's material, in addition to older material. Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

For a video narrative about how I structure each lesson, and how the warm-up fits in watch my Lesson Structure video.

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#### Play of the Day

*40 min*

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#### Huddle

*10 min*

For the huddle, I like to review Problem 7, which pushes kids to explain WHY the formulas for teh volume of solids work the way they do. I find that if they can reason WHY on a particular formula, they will retain it much better.

It's also great practice for kids to explain their reasoning, yet again.

#### Resources

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*Responding to Deborah Edwards*

Deborah - thanks so much for your kind comment! I am glad that you found the "nesting" idea powerful. I too have used the GeoSolids; in fact, in the most recent iteration of this lesson, I actually compared a cone and a cylinder that had exactly the same radius and height. We filled the cone up with water and showed that we could pour three of these into the cylinder; hence, the volume of a cone is 1/3 the volume of a cylinder with the same height and radius.

Hope you are well, and feel free to comment anytime!

Jeff

| 2 years ago | Reply

Thank you so much for sharing your "nesting" idea with the formulas. I am anxious to use this with my students to build on each formula. I have used the GeoSolids to show the cone and hemisphere inside the cynlinder for a visual. This explanation will make those even more powerful.

| 2 years ago | Reply*expand comments*

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- UNIT 1: FLUENCIES AND THE LANGUAGE OF ALGEBRA
- UNIT 2: SOLVING LINEAR EQUATIONS
- UNIT 3: INTRODUCTION TO FUNCTIONS
- UNIT 4: INTERPRETING AND COMPARING LINEAR FUNCTIONS
- UNIT 5: SYSTEMS OF LINEAR EQUATIONS
- UNIT 6: EXPONENTS AND SCIENTIFIC NOTATION
- UNIT 7: PARALLEL LINES, TRANSVERSALS, AND TRIANGLES
- UNIT 8: CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS
- UNIT 9: PATTERNS OF ASSOCIATION IN BIVARIATE DATA
- UNIT 10: SLOPE REVISITED
- UNIT 11: VOLUME OF CYLINDERS, CONES, AND SPHERES
- UNIT 12: POLYNOMIALS AND FACTORING
- UNIT 13: QUADRATIC FUNCTIONS