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Geometry Resources & Lesson Plans7 chapters | 194 lessons

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Instructor:
*Christopher Sailus*

Chris has an M.A. in history and taught university and high school history.

In this lesson, students learn about the three-dimensional properties of cubes and learn the formula necessary to determine a cube's surface area and put it into practice using real-life cubes.

After this lesson, students will be able to:

- understand the basic properties of cubes
- measure the surface area of various cubes

45 minutes

- cubes (boxes, dice, or any other cubes you can find around your house or classroom)
- rulers

- dimensions
- square
- cube
- equilateral

- CCSS.Math.Content.6.G.A.4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

- CCSS.Math.Content.6.EE.A.2

Write, read, and evaluate expressions in which letters stand for numbers.

- As a class read Cubes: Lesson for Kids, pausing after reading the sections 'Shapes' and 'Two-Dimensional Shapes: So Flat'. Discuss:
- What constitutes a dimension? What would a one-dimensional object look like?

- Continue reading pausing after reading the sections 'The Third Dimension: Not So Flat' and 'The Cube'. Discuss:
- Cubes are three-dimensional objects. So what? What about them is special? (Be sure to discuss all the different characteristics of a cube. Possibly writing these on the board)
- What objects can you see in the classroom that are cubes? Can you think of any examples from your daily life?

- Read the rest of the lesson.
- Discuss the surface area of a cube.

- Answer any remaining questions before moving on to the quiz.
- Have students take the quiz, reviewing questions and answers.

- Distribute the rulers and the cubes you have gathered to students. If there are not enough cubes to go around, have students share these cubes.
- Write the formula for surface area (SA= l x w x 6) up on the board.
- Explain to your students that they must now measure the surface area of each cube. But first, hold a short discussion to ensure students understand how and why the equation works. Some example questions include:
- When finding surface area, why are you multiplying by 6?
- Multiplying the length by the width gives you what measurement?
- Why is it useful to know the surface area of a cube?

- Instruct students to measure the length and width of one side of their cube, and then use the equation to determine the surface area on a separate piece of paper.
- Once all students have done this, have them exchange cubes with their neighbor and perform the same measurement and equation.
- Repeat this exercise until students have four different surface area measurements.
- Have them hand in their sheet of paper for credit.

- As homework, have students go home and identify at least four different cubes in their home or in the world around them. Using a ruler, have them determine the surface area using the equation and show their work on a sheet of paper.

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Geometry Resources & Lesson Plans7 chapters | 194 lessons

- 3-D Shapes Lesson Plan
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