#### Unit Plan

## Surface Area and Volume

### Alignments:

### Grade Levels

### Related Academic Standards

### Assessment Anchors

### Eligible Content

### Big Ideas

### Concepts

### Competencies

### Objectives

Students will explore and visualize three-dimensional solids to gain a greater understanding of surface area and volume. Students will:

- create and/or match a solid to its net.
- determine various ways to calculate surface area and volume.
- calculate surface area and volume.
- connect surface area and volume to real-world applications.
- describe the relationship of measurements.
- investigate the effects of changes in dimension on surface area and volume.

### Essential Questions

- How can recognizing repetition or regularity assist in solving problems more efficiently?
- How are spatial relationships, including shape and dimension, used to draw, construct, model, and represent real-world situations or solve problems?
- How can the application of the attributes of geometric shapes support mathematical reasoning and problem solving?
- How can geometric properties and theorems be used to describe, model, and analyze situations?

### 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 unit.

- NCTM’s Geometric Solids http://illuminations.nctm.org/ActivityDetail.aspx?ID=70
- Wolfram Demonstrations http://www.demonstrations.wolfram.com/CubeNet
- Math.com http://www.math.com/tables/geometry/surfareas.htm
- Math.com http://www.math.com/school/subject3/lessons/S3U4L1GL.html
- Math.com http://www.math.com/school/subject3/lessons/S3U4L2DP.html
- Shodor http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/
- Interactives from Annenberg Media

http://www.learner.org/interactives/geometry/area_surface.html

http://www.learner.org/interactives/geometry/area_volume.html

- Wolfram Demonstrations http://demonstrations.wolfram.com/RectangularPrisms/
- Shodor’s Surface Area and Volume Interactive Applet http://www.shodor.org/interactivate/activities/SurfaceAreaAndVolume/
- Wolfram Demonstrations

http://demonstrations.wolfram.com/TheRatioOfSurfaceAreaToVolumeForACubeAndASphere/

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