Editors Polly Hoffman Gisela Lee Editorial Manager Karen J. Goldfluss, M.S. Ed. Editor-in-Chief Sharon Coan, M.S. Ed. Cover Artist Jessica Orlando Grades 3-5 Art Coordinator Kevin Barnes Creative Director CJae Froshay Imaging Rosa C. See Alfred Lau Product Manager Phil Garcia Acknowledgements Word software is 1983 2000 Microsoft Corporation. All rights reserved. Word is a registered trademark of Microsoft Corporation. Publisher Mary D. Smith, M.S. Ed. Author Robert Smith Teacher Created Resources, Inc. 6421 Industry Way Westminster, CA 92683 www.teachercreated.com ISBN: 978-1-57690-957-7 2002 Teacher Created Resources, Inc. Reprinted, 2010 Made in U.S.A. The classroom teacher may reproduce copies of materials in this book for classroom use only. The reproduction of any part for an entire school or school system is strictly prohibited. No part of this publication may be transmitted, stored, or recorded in any form without written permission from the publisher.
Table of Contents How to Use This Book.................. 3 NCTM Standards...................... 4 Unit 1 How to Name and Measure Angles......... 5 Practice Identifying Angles............... 6 Practice Measuring Angles with a Protractor...................... 7 Practice Measuring More Angles with a Protractor...................... 8 Unit 2 How to Identify and Measure the Interior Angles of a Triangle................... 9 Practice Identifying Triangles............ 10 Practice Computing the Interior Angles of a Triangle.................. 11 Practice Measuring the Angles of a Triangle with a Protractor..................... 12 Unit 3 How to Identify Polygons............... 13 Practice Identifying Polygons............ 14 Practice Measuring Angles in Quadrilaterals..................... 15 Practice Measuring Angles in Other Polygons...................... 16 Unit 4 How to Compute Perimeter.............. 17 Practice Computing the Perimeter of Squares, Rectangles, and Parallelograms.......... 18 Practice Computing the Perimeter of Other Quadrilaterals.................. 19 Practice Computing the Perimeter of Regular Polygons..................... 20 Unit 5 How to Compute Areas of Geometric Shapes.................... 21 Practice Computing Areas of Geometric Shapes.................... 22 Practice Computing Areas with Graph Paper..................... 23 Practice Computing Areas with Square Units.................... 24 Unit 6 How to Compute Area.................. 25 Practice Computing the Areas of Squares... 26 Practice Computing the Areas of Rectangles and Parallelograms................... 27 Practice Computing the Areas of Triangles.. 28 Unit 7 How to Use a Compass................. 29 Practice Inscribing Triangles in a Circle..... 30 Practice Inscribing Hexagons in a Circle.... 31 Practice Inscribing Squares in a Circle...... 32 Unit 8 How to Recognize Symmetry, Congruence, and Similarity....................... 33 Practice Drawing with Lines of Symmetry... 34 Practice Identifying Congruent Shapes..... 35 Practice Recognizing Similar and Congruent Figures.................... 36 Unit 9 How to Work with Solid Figures.......... 37 Practice Identifying Solid Figures......... 38 Practice Identifying Faces, Edges, and Vertices......................... 39 Practice Euler s Formula with Polyhedrons.. 40 Unit 10 Practice Working with Radius and Diameter........................ 41 Practice Working with Circles............ 42 Unit 11 Practice Working with Tessellations (Triangles and Rectangles).............. 43 Practice Working with Tessellations (Hexagons and Triangles).............. 44 Unit 12 (Technology) Using Shapes to Create Artwork.......... 45 Answer Key.........................47 #2957 How to Succeed in Geometry: Grades 3 5 2 Teacher Created Resources, Inc.
1 How to Name and Measure Angles Facts to Know Naming Angles The direction an angle faces does not affect its name. An acute angle is less than 90. A right angle is exactly 90. 80 90 An obtuse angle is more than A straight angle is exactly 180. 90 and less than 180. 100 180 A protractor is used to measure the exact size of an angle in terms of the number of degrees between 0 and 180. There are usually two sets of numbers on a protractor one set running from left to right and the other set from right to left. These two sets of numbers make it easy to line up the protractor on any angle. The half-way point of every protractor is 90. It is usually written once. How to Use a Protractor To measure an angle with a protractor, do the following steps. 1. Put the dot or circle at the center-bottom of the protractor directly on the point of the angle where the two rays meet. This point is called the vertex. 2. Carefully line up the black lines to the left or right of the circle along the bottom ray of the angle. 3. Determine where the top ray of the angle crosses the numbers on the protractor. 4. Determine if the angle is acute, obtuse, right, or straight. 5. Decide which set of numbers (inner or outer) fits this angle. 60 degree mark Teacher Created Resources, Inc. 5 #2957 How to Succeed in Geometry: Grades 3 5
1 Practice Identifying Angles Directions: Using the information on page 5, label each of the angles below as acute, right, obtuse, or straight angles. 1. 5. 40 90 2. 6. 55 130 3. 7. 60 170 4. 8. 80 180 #2957 How to Succeed in Geometry: Grades 3 5 6 Teacher Created Resources, Inc.
1 Practice Measuring Angles with a Protractor Directions: Use a protractor and the information on page 5 to measure each of the angles below. Write the number of degrees on the first line and the name of each angle on the second line: acute, right, obtuse, or straight. 1. 5. 2. 6. 3. 7. 4. 8. Teacher Created Resources, Inc. 7 #2957 How to Succeed in Geometry: Grades 3 5
1 Practice Directions: Use a protractor and the information on page 5 to make each of the angles indicated below. Write the name of each angle: acute, right, obtuse, or straight. One ray is drawn for you. 1. 5. Measuring More Angles with a Protractor 30 _ 100 _ 2. 6. 55 _ 125 _ 3. 7. 90 _ 160 _ 4. 8. 50 _ 70 _ #2957 How to Succeed in Geometry: Grades 3 5 8 Teacher Created Resources, Inc.