All-New Ideas! 20 Skill-Based Lessons Includes: Polygons. Space Figures. Lines, Line Segments, Rays. Angles. Similar And Congruent Figures.

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1 TEC3205 GRADE 5 All-New Ideas! 20 Skill-Based Lessons Includes: Polygons Space Figures Lines, Line Segments, Rays Angles Similar And Congruent Figures Symmetry Slides, Flips, And Turns Coordinate Graphing Triangles And Circles Tessellations And Pentominoes

2 From Your Friends At The MAILBOX The Mailbox Math Series GRADE 5 by Ann Blackwood Project Editors: Irving P. Crump, Peggy W. Hambright, Thad H. McLaurin Writers: Karen A. Brudnak, Irving Crump, Rusty Fischer, Peggy W. Hambright, Thad H. McLaurin, Cindy Mondello Artists: Cathy Spangler Bruce, Nick Greenwood, Clevell Harris, Rob Mayworth, Barry Slate Cover Designer: Jennifer L. Tipton Cover Artist: Kimberly Richard How Do I Use This Book? Each two-page activity in Geometry Grade 5 is designed to help you reinforce a geometry concept you ve introduced. The colorful teacher page states the activity s purpose, explains what the students will be doing, lists needed materials, and suggests vocabulary to review before students complete the reproducible. The reproducible page is a skillbased activity based on NCTM standards. Two fun-filled extension activities to use after the student reproducible are at the bottom of each teacher page. In addition, accompanying patterns and keys are in the back of the book by THE EDUCATION CENTER, INC. All rights reserved. ISBN # Except as provided for herein, no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or storing in any information storage and retrieval system or electronic online bulletin board, without prior written permission from The Education Center, Inc. Permission is given to the original purchaser to reproduce patterns and reproducibles for individual classroom use only and not for resale or distribution. Reproduction for an entire school or school system is prohibited. Please direct written inquiries to The Education Center, Inc., P.O. Box 9753, Greensboro, NC The Education Center, The Mailbox, and the mailbox/post/grass logo are registered trademarks of The Education Center, Inc. All other brand or product names are trademarks or registered trademarks of their respective companies. Manufactured in the United States

3 Table of Contents MAX Polygons Under Construction Made-to-Order Polygons Pricey Polygon Pictures Quadrilaterals Is a Square Just a Square? Space Figures It s All Related Lines, Line Segments, Rays What s My Line? Angles Amazing Angles Going Ape Over Angles Q A TOYS Angles and Lines A New Angle on Art Similar Figures Similar Figures to the Rescue! Congruent Figures Do We Have a Match? Symmetry That s a Very Busy Beaver! Weaving a Study of Symmetry Slides, Flips, and Turns Geometric Gymnastics Coordinate Graphing Mapping Out a Mystery Coordinating Pictures Triangles Triangle Trios Circles A Garden Full of Circles Tessellations Doin the Tessellation Slide Pentominoes Getting to Know Pentominoes Patterns Answer Keys

4 Under Construction Build your students knowledge of regular polygons with this constructive geometry lesson! Purpose: To identify regular polygons Students will do the following: Identify regular polygons Color-code regular polygons hidden in a picture Materials for each student: copy of page 4 one crayon each of the following colors: yellow, green, blue, orange, red, purple Vocabulary to review: regular polygon triangle, square, pentagon, hexagon, octagon, decagon Extension activities to use after the reproducible: Use the following cooperative group activity to further extend your students experiences with regular polygons. Divide your students into groups of four. Give each group ten 12-inch lengths of string. Next call out the name of a regular polygon. Instruct each group to use its lengths of string to create the specified polygon. Inform your students that each side of the polygon consists of one 12-inch length of string. For example, three strings will build a triangle while six strings will build a hexagon. Use this quick and fun art activity to reinforce the concept of regular polygons. Give each student an old magazine and instruct her to find a real-life example of a triangle, a square, a pentagon, a hexagon, an octagon, or a decagon. Have her cut out each example and glue it onto the center of a sheet of drawing paper. Underneath each picture have her complete the following sentence: A(n) is an example of a(n). Collect the shapes and bind them into a class book titled Perfect Polygons! Regular polygons

5 Name Regular polygons Under Construction 4 Regular Polygons triangle = yellow square = green pentagon = blue hexagon = orange octagon = red decagon = purple Harry Hexagon is building a wall using all types of polygons. He s really behind and needs your help. Harry needs to color all the regular polygons using the color code above. Help Harry locate and color each regular polygon in the wall below. Remember that a regular polygon is a polygon with all sides the same length and all angles the same measure The Education Center, Inc. The Mailbox Math Series Geometry TEC3205 Key p. 45

6 Made-to-Order Polygons Draw your students into a better understanding of polygons with this challenging activity! Purpose: To construct various polygons using specific geometric attributes Students will do the following: apply knowledge of shapes, angles, and lines to construct polygons measure angles with a protractor draw parallel lines Materials for each student: copy of page 6 pencil ruler protractor Vocabulary to review: acute, obtuse, and right angles parallel lines irregular polygon regular polygon Extension activities to use after the reproducible: Help students concentrate on polygons with this fun card game! Pair students and give each pair 12 index cards. Instruct one partner to write on each of six separate index cards one of the following numbers: 3, 4, 5, 6, 8, and 10. Instruct the other partner to draw on the remaining six blank index cards the corresponding polygon for each numbered card. Then have the pair shuffle the cards and lay all 12 cards facedown on a desk. Instruct one student to flip over two cards. If the two cards match, he gets to keep the cards. If they do not match, he returns them facedown to their original spots on the desk. Play continues until all of the cards are matched and collected. The player with the most cards wins! This game also makes a great center activity. Play Polygon Bingo to give students more geometry practice! First copy and assemble the number cube on page 43. Then give each student one copy of the Polygon Bingo card on page 43 and a supply of construction paper squares to use as markers. Instruct the student to randomly program her card with drawings of either a triangle, square, pentagon, hexagon, octagon, or decagon in each square on the card. Roll the assembled number cube and call out the number rolled. Instruct each student to cover one space on his card that contains a polygon with the same number of sides as the number called. Repeat this process until a student has covered five squares in a row horizontally, vertically, or diagonally, and calls out Polygon Bingo! Constructing polygons 5

7 Name Made-to-Order Polygons Business has been good at Shapes R Us, a made-to-order polygon shop. In fact, the shop is so busy that orders have begun to back up! Help the shop catch up with the demand by following the directions below to draw eight made-to-order shapes in the spaces provided. Use a ruler and a protractor to make sure each shape is perfect! Constructing polygons Special Order Form Special Order #1: one irregular polygon that has four sides and two right angles Special Order #5: one irregular polygon with three unequal sides Special Order #2: one irregular polygon that has two pairs of parallel lines and no right angles Special Order #6: one regular polygon with four equal sides Special Order #3: one irregular polygon with two acute angles and two obtuse angles Special Order #7: one irregular polygon with six sides, four obtuse angles, and two acute angles Special Order #4: one regular polygon with six sides Special Order #8: one irregular polygon with five sides and two right angles The Education Center, Inc. The Mailbox Math Series Geometry TEC3205 Key p. 45