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# Chapter 11: 2-D and 3-D Geometry Design a Dog House

## INTRODUCTION

A dog house should be like any other house. It should be strong and stable. A dog house should have a flat base and walls that are sturdy.

Imagine that your family just got a new puppy. You have been asked to design a dog house for the puppy. There are several shapes for you to choose from to design the dog house.

## THE PROCESS

1. Visit Three Dimensional Shapes to see the 3-D shapes you have to choose from. Select 2 shapes that fit what you need for the dog house:
• The shape must have a flat face for the bottom of the dog house.
• The shape must have at least 4 vertices.
2. Describe the number and shape of the faces of each of your objects.
3. How many vertices and edges do your objects have?
4. Do your 3-D objects fit the description in question 1? Explain.
5. Build a skeleton of each structure.
6. Which of the two 3-D objects you selected will you choose for your design of the dog house? Why?

## RESOURCES

Website:

Materials:
pencil
paper
modelling clay
straws, toothpicks, bamboo skewers, or pipe cleaners

## ASSESSMENT

 Mathematical Processes Work meets standard of excellence Work meets standard of proficiency Work meets acceptable standard Work does not yet meet acceptable standard Connections • demonstrates a sophisticated ability to transfer knowledge and skills to new contexts • demonstrates a consistent ability to transfer knowledge and skills to new contexts • demonstrates some ability to transfer knowledge and skills to new contexts • demonstrates a limited ability to transfer knowledge and skills to new contexts Visualization • uses visual representations insightfully to foster/demonstrate a thorough understanding • uses visual representations meaningfully to foster/demonstrate a reasonable understanding • uses visual representations simply to foster/demonstrate a basic understanding • uses visual representations poorly to foster/demonstrate an incomplete understanding Communication • uses effective and specific mathematical language, symbols, and conventions to enhance communication   • provides a precise and insightful explanation of mathematical concepts and/or procedures • uses appropriate and correct mathematical language, symbols, and conventions to support communication   • provides a clear and logical explanation of mathematical concepts and/or procedures • uses mathematical language, symbols, and conventions to partially support communication   • provides a partially clear explanation of mathematical concepts and/or procedures • uses mathematical and nonmathematical language and conventions incorrectly and/or inconsistently that interfere with communication • provides a vague and/or inaccurate explanation of mathematical concepts and/or procedures