Copyright 2013 A+ Interactive MATH (an A+ TutorSoft Inc. company), All Rights Reserved.

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2 Introduction to Geometry Lesson, Worksheet & Solution Guide Release 7 A+ Interactive Math (By A+ TutorSoft, Inc.) info@aplustutorsoft.com Page 2 of 17

3 ABOUT THE LESSON, This is one of several lessons that is in 1 st Grade Geometry Unit. The lesson includes the worksheet to practice problem solving to master the concept taught in the lesson. The solution guide provides solution steps to each problem on the worksheet with appropriate visuals to further reinforce the math concept taught in the lesson. For a complete list of Unit Lessons and other full curriculum products, please visit our publisher page on CurrClick.com. Copyright 2014 A+ TutorSoft Inc., All Rights Reserved. No part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical method, without the prior written permission of A+ TutorSoft Inc. Printed in the United States of America 2013, Page 3 of 17

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5 Introduction to Geometry Do you like to draw pictures or play with legos? If so, then you will like geometry. Geometry is the study of shapes. There are two kinds of shapes; plane shapes and solid shapes. Plane shapes are flat shapes, as if you were drawing on paper. These are examples of plane shapes, which we will learn more about in later sections: a point, a line, a circle, a triangle, a rectangle and a square. Page 5 of 17

6 Those are the plane shapes. Now let s look at some solid shapes. Legos are solid shapes. If a shape looks like it can be filled, then it s a solid shape. Do you see how it looks like we can fill up this cylinder? We often use cylinders to measure liquids, like water. These are examples of the solid shapes we are going to learn more about: a sphere, a cone, a pyramid, a cylinder, a rectangular prism and a cube. Page 6 of 17

7 In geometry, we study the properties of shapes. For example, we can describe shapes by how many dimensions they have. Shapes can have 0, 1, 2 or 3 dimensions. We can also describe shapes by how many vertices, edges and faces they have. We will learn more about these properties in the next sections. Geometry is everywhere; in our food, our toys, our houses, our cars and so much more. You will likely use geometry in your adult careers. Geometry can be a lot of fun and you will learn more in this chapter and as you take higher level math courses. Page 7 of 17

8 Name: Worksheet Introduction to Geometry Q1. What is Geometry? A. The study of time B. The study of animals C. The study of shapes Q2. Which of the following is a way we can describe shapes? A. Plane or solid B. 0, 1, 2 or 3 dimensions C. Vertices, edges and faces Q3. What are the two kinds of shapes in Geometry? A. Plane and solid B. Round and square C. Big and little Q4. What kind of shape can be filled with something? A. A plane shape B. A solid shape C. A flat shape Page 8 of 17

9 Q5. What kind of shape is flat? A. A plane shape B. A solid shape C. A round shape Q6. Which of the following is a plane shape? A. B. C. Q7. Which of the following is a solid shape? A. B. C. Q8. Which of the following is true? A. All shapes are 3-dimensional shapes. B. All shapes are 2-dimensional shapes. C. All shapes are 1, 2, or 3-dimensional shapes. D. All shapes are 0, 1, 2, or 3-dimensional shapes. Q9. You are drawing a square on a paper. What type of shape are you drawing? Page 9 of 17

10 A. Plane shape B. Solid shape C. 3-dimensional shape Q10. You are holding a tennis ball. What type of shape are you holding? A. Plane shape B. Solid shape C. Flat shape Page 10 of 17

11 Q1. What is Geometry? A. The study of time B. The study of animals C. The study of shapes Worksheet Solution Guide Introduction to Geometry Solution: The correct answer is choice C. Therefore, the correct answer is choice C. Q2. Which of the following is a way we can describe shapes? A. Plane or solid B. 0, 1, 2 or 3 dimensions C. Vertices, edges and faces Solution: The correct answer is choice D. We can describe shapes as plane or solid. Page 11 of 17

12 We can describe shapes by how many dimensions they have. We can describe shapes by their vertices, edges and faces. Therefore, the correct answer is choice D. Q3. What are the two kinds of shapes in Geometry? A. Plane and solid B. Round and square C. Big and little Page 12 of 17

13 Solution: The correct answer is choice A. Therefore, the correct answer is choice A. Q4. What kind of shape can be filled with something? A. A plane shape B. A solid shape C. A flat shape Solution: The correct answer is choice B. Solid shapes look as though you can fill it up with something, like water or air. Solid shapes can be filled. Therefore, the correct answer is choice B. Page 13 of 17

14 Q5. What kind of shape is flat? A. A plane shape B. A solid shape C. A round shape Solution: The correct answer is choice A. Plane shapes are flat shapes, as if you were drawing on paper. Plane shapes are flat. Therefore, the correct answer is choice A. Q6. Which of the following is a plane shape? A. B. C. Solution: The correct answer is choice D. Plane shapes are flat shapes, as if you were drawing on paper. Page 14 of 17

15 Plane shapes are flat. Therefore, the correct answer is choice D. Q7. Which of the following is a solid shape? A. B. C. Solution: The correct answer is choice C. Solid shapes look as though you can fill it up with something, like water or air. Solid shapes can be filled. Therefore, the correct answer is choice C. Page 15 of 17

16 Q8. Which of the following is true? A. All shapes are 3-dimensional shapes. B. All shapes are 2-dimensional shapes. C. All shapes are 1, 2, or 3-dimensional shapes. D. All shapes are 0, 1, 2, or 3-dimensional shapes. Solution: The correct answer is choice D. All shapes are 0, 1, 2, or 3-dimensional shapes. Therefore, the correct answer is choice D. Q9. You are drawing a square on a paper. What type of shape are you drawing? A. Plane shape B. Solid shape C. 3-dimensional shape Solution: The correct answer is choice A. Plane shapes are flat shapes, as if you were drawing on paper. Page 16 of 17

17 Plane shapes are flat. Therefore, the correct answer is choice A. Q10. You are holding a tennis ball. What type of shape are you holding? A. Plane shape B. Solid shape C. Flat shape Solution: The correct answer is choice B. Solid shapes look as though you can fill it up with something, like water or air. Solid shapes can be filled. Therefore, the correct answer is choice B. Page 17 of 17