#### Lesson Plan

## Calculating Surface Area and Volume in the Real World

### Alignments:

### Grade Levels

### Related Academic Standards

### Assessment Anchors

### Eligible Content

### Big Ideas

### Concepts

### Competencies

### Objectives

The lesson focuses on attainment of procedural knowledge and conceptual understanding, related to surface area and volume. Students will:

- draw nets from rectangular prisms, in order to solve surface area problems.
- calculate the surface area and volume of rectangular prisms and cubes.
- solve real-world problems, involving surface area and volume, using a variety of problem-solving strategies.

### 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?

### Vocabulary

**Congruent Figures:**Figures that have the same size and shape. Congruent angles have the same measure; congruent segments have the same length.**Cylinder:**A solid that has two parallel, congruent bases (usually circular) connected with a curved side.**Net:**A two-dimensional shape that can be folded to create a three-dimensional figure.**Prism:**A three-dimensional solid that has two congruent and parallel faces that are polygons. The remaining faces are rectangles. Prisms are named by their bases.**Surface Area:**The sum of the areas of all of the faces of a three-dimensional figure.**Volume:**The amount of space found within a solid.

### Duration

90–120 minutes

### Prerequisite Skills

### Materials

- “data-show” projector connected to a computer
- http://www.learner.org/interactives/geometry/area_surface.html
- http://www.learner.org/interactives/geometry/area_volume.html
- list of real-world situations, involving either surface area or volume (to be developed ahead of the lesson)
- copies of the Calculating Surface Area and Volume table (M-6-4-2_Surface Area and Volume and KEY.docx)
- copies of the exit ticket (M-6-4-2_Exit Ticket and KEY.doc)

### 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.

- 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/

- Small group practice worksheets

http://www.mathatube.com/files/Volume_of_a_Rectangular_Prism_worksheet_1.pdf

- Expansion activity

http://www.nrcs.k12.oh.us/Downloads/Comparing%20Surface%20Area%20and%20Volume%20Typed.pdf

### Formative Assessment

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