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LEARNING AND APPLYING GEOMETRY

Building a Teen Center: An Integrated Algebra Project by Mary Ann Christina. A Key Curriculum Publication with blackline activity masters for grades 6-10. This is a concept to completion project in which students work in teams to conceive of, design, and build a model of a recreational center for teenagers. 178 pages. Key-3102. $15.26-D. Click link for more details.

Exploring the Shape of Space Activity Book / CD Bundle by Jeffrey R. Weeks. High school level or above. Follow link for availability, price, and details. 

Geometry Grades 6-8. Milliken Publishing, no date. This book clearly presents the  theorems and principles of basic geometry, along with examples and exercises for practice. The concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry. Pages are reproducible and the answers are in the middle. 44 pages. BTH-4748. $8.06-D

Geometry 7-10 by Sara Freeman. Milliken, 2002. This easy-to-use workbook is chock full of stimulating activities that will jumpstart student interest in geometry while providing practice with the major geometry concepts. A variety of puzzles, mazes, games, and self-check formats will challenge students to think creatively as they sharpen their geometry skills. Each page begins with a clear explanation of the featured geometry topic, providing extra review and reinforcement. A special assessment section is included at the end of the book to help students prepare for standardized tests. A great supplement for grades 7-10. 48 pages. BTH-4747. $7.16-D

Geometry for the Primary Grades, a Steck-Vaughn reproducible book. Available for grades 1-3.  This supplement to any basic math curriculum models basic geometric concepts through real-world and hands-on applications. The activities transition from concrete to pictorial, and then to abstract. The books include manipulative activities, self-explanatory lessons that are ideal for independent work (presuming students have already received instruction in the specific skills covered in the lessons), a bound-in answer key, letters for parents and students, a student progress chart,  an NCTM Standards Correlation chart, and 96 perforated pages. Books are $10.79-D each.

Geometry the Easy Way, Third Edition, by Lawrence Leff. This book is an ideal student self-help supplement. It offers valuable overviews of course work and extra help with difficult subject areas. Covers the "how" and "why" of geometry. Includes hundreds of examples and exercises with solutions. Includes more than 700 drawings, graphs, and tables. Paperback / Pages / 7-13/16" x 10-7/8" / Cat.# BAR-01102 / $13.46-D

    Table of Contents

• Building a Geometry Vocabulary
• Measure and Congruence
• Angle Pairs and Perpendicular Lines
• Parallel Lines
• Angles of a Polygon
• Proving Triangles are Congruent
• Applying Congruent Triangles
• Cumulative Review Exercises: Chapters 1-7
• Geometric Inequalities
• Special Quadrilaterals
• Ratio, Proportion, and Similarity
• The Right Triangle
• Cumulative Review Exercises: Chapters 8-11
• Circles and Angle Measurement
• Chord, Tangent, and Secant Segments
• Area and Volume
• Coordinate Geometry
• Locus and Constructions
• Cumulative Review Exercises: Chapters 12-16
• Some Geometric Formulas Worth Remembering
• Glossary
• Answers to Chapter Exercises
• Solutions to Cumulative Review Exercises
• Index

STUDIES IN GEOMETRY SERIES:
This series explores the topics of Constructions, Triangles, Circles, and Proofs. Each of the books develops the subject it covers through explanation, modeling, and practice. For Middle and Secondary Grades. Consumable Each book is $9.89-D.

Key Curriculum Press Geometry

Mathematical Quilts--No Sewing Required by Diana Venters and E.K. Ellison. Published by Key Curriculum Press. For grades 6-12. This book was born because two mathematics teachers who worked together also took quilting classes together and began to see the quilt possibilities in many of the mathematical concepts in texts and journals. They became convinced of the value of designing quilts as a learning tool. The activities in this book help student improve their visualization skills, as well as their skills in analysis, informal deduction, and formal deduction - levels one -four of the van Hiele model of the five levels of learning geometry. This book should be especially helpful to those students who have trouble with formal geometry but are otherwise capable students because its activities take these students through the first three levels of learning successfully so that they are able to also be successful in the fourth level.

The book is divided into three sections, each featuring quilts with similar designs: "Golden Ratio Quilts," "Spiral Quilts," "Right Triangle Quilts", and the "Tiling Quilts." After students are introduced to the theme, they encounter a series of activities that guide them through the mathematical  concepts related to that particular kind of quilt design. Each section includes research activities, technology activities for graphing calculators and computers, and Internet activities. In conclusion students recreate the quilt pattern with an emphasis on the art of the design. Students can actually learn how to sew the quilt if they are interested in doing it. 168 pages. More than 50 blackline activity masters included. Punched to fit standard three-hole notebook. Cat #BTH-482. $18.86-D

More Mathematical Quilts--No Sewing Required by Diana Venters and E.K. Ellison. Published by Key Curriculum Press. For grades 6-12. The authors are both mathematics teachers and quilters. They saw the possibilities of using quilts to reveal the beauty within mathematics and present in this book 15 additional quilts (to those presented in their first book, Mathematical Quilts). Their visual introduction to mathematical objects allows students to explore mathematical art as they learn skills essential to future success. The book is divided into four thematic sections, each of which contains guides for recreating the quilts and activities that further develop the related mathematical concepts.  From fractals to shadows of four-dimensional shapes, students have opportunities for hands-on exploration of important mathematical objects and to practice solving problems. 181 pages. BTH-481. $18.86-D

Middle School Geometry, by Steck-Vaughn: Each of the three books in this series has four units: concepts, computation, problem solving, and enrichment. There are 42 activity pages in each book. The books meet NCTM standards and are reproducible for classroom use. The three books in the series are

    Geometry: Basic Concepts        BTH-1323    $7.19-D
    Geometry: Solids                       BTH-1324    $7.19-D
    Geometry: Polygons                  BTH-1325    $7.19-D    

  Painless Geometry   by  Lynette Long. Publisher: Barron's Educational,  2001.  307 pages.  If geometry tends to freak you out, this book will help you understand it and even enjoy learning it. You’ll begin to see that finding solutions to geometric problems is as much fun as solving intriguing puzzles. And there are lots of diagrams to help you learn the terms, theorems, and postulates that form the foundation of geometry. You’ll learn to work with angles of all kinds, find the relationships between parallel and perpendicular lines, and discover the characteristics of shapes such as triangles, quadrilaterals, and circles. The abstract concepts you learn will become more concrete with experiments you can do. And the author also gives tips on studying and using mini-proofs as first steps to understanding formal geometry proofs. For grade 8 and up.
BTH-409. $8.06-D Click title link to order with shopping cart.

Patty Paper Geometry by Michael Serra. A Key Curriculum Press book. Learn how to use the translucent squares of paper used by restaurants to separate hamburger patties to enhance the study of geometry. You may already use paper folding for geometry. . Maybe you tried waxed paper and found it hard to write on, or used other paper that you couldn't see through. Now there's patty paper, the perfect paper for geometric investigations. Manufactured in perfect squares, you can write on the paper and see creases and traces when you fold them. It's a great way to explore geometry from a hands-on, tactile approach. And best of all, it's probably the world's cheapest manipulative. Pick it up where restaurant supplies are sold.

Patty Paper Geometry includes dozens of activities that foster cooperative learning, increase students' geometric vocabulary, and motivate kids to read, write, and talk about geometry. Constructions are performed more accurately and geometric discoveries are made faster with patty papers. At the end of their investigations, students have discovered most of the properties of geometric figures studied in high school geometry courses. Here is a list of the investigations included:    

• Set 1: Intersecting Lines
• Set 2: Folding the Basic Geometric Constructions
• Set 3: Points of Intersection                                 
• Set 4: The Big Three Conjectures
• Set 5: Midsegment Conjectures
• Set 6: Properties of Parallelograms                             
• Set 7: Properties of Circles
• Set 8: Shortcuts to Congruent Triangles
• Set 9: Transformations
• Set 10: Symmetry and Tessellations
• Set 11: Area
• Set 12: The Theorem of Pythagoras

Patty Paper Geometry is designed as two books. The first, a blackline master book, contains twelve chapters of guided and open investigations. Open investigations encourage students to explore their own methods of discovery, and guided investigations provide more direction to students, or can be used as a teacher's guide. Each chapter includes many spiraled exercise sets, providing constant review. A separate student workbook is also available, containing all of the open investigations as well as some exercise sets. Use Patty Paper Geometry as a supplement to your geometry program or even as a major course of study.

    Patty Paper Geometry, Cat. #BTH-1406. $21.56-D
    Patty Paper Geometry, Student Workbook, Cat. #BTH-1419. $4.46-D   
   

Straight Forward Series, Large Editions, Geometry

This series presents the basic facts of the subjects covered in each book. There is an assessment test at the beginning of each book. This helps you determine what your student needs to learn. Then there is instruction (about one-half page per lesson on the average) in a basic concept or skill. This is followed by exercises which allow the student to practice the skill taught. At the end of the book is a final test to see if the students have mastered the skills. These books are reproducible.
BTH- 046. $9.86-D

If your students aren't quite ready for the full geometry course yet, maybe you should start them with Pre-Geometry 1 (BTH-064)and Pre-Geometry 2 (BTH-065)from this same series. These help students progress from basic mathematics to geometry and provide the mathematical skills to succeed in geometry groupings. Abstractions and structured logic are kept to a minimum. Each pre-geometry topic includes an explanation and multiple exercises to reinforce the explanation presented.  These books are 3.56 each.

Unfolding Mathematics with Unit Origami by Betty Franco. Key Curriculum Press. Black Line Activity Masters, punched to fit standard three-hole notebook. This book, with its elegant illustrations and detailed folding and assembly directions, will show you and your students how to create intriguing three-dimensional models. the sixteen activities, in blackline master form, first present simple folding techniques that transform square pieces of paper into a variety of geometric shapes. As students repeat the folding sequences, they create identical units that combine to form tetrahedra, cubes, octahedra, and much more. After they learn the basics, students can go on to invent their own unique polyhedra. These activities can to used in middle and high school algebra and geometry classes. Most can be finished in one class period. 115 pages.
Cat # BTH-1420. $17.06-D

Unfolding Mathematics with Origami Boxes by Arnold Tubis and Crystal Mills, 2006. This book combines the ancient art of paper folding with high school mathematics to help students discover important concepts in geometry. Detailed folding instructions help students fold 28 unique boxes ranging from simple, open designs to self-contained decorative models. Blackline masters and a teacher-friendly design make the activities easy to implement. 180 pages. BTH-4980. Click link for current price and availability. If out of stock, I can order for you.

What's Wrong with This Picture? Critical Thinking Exercises in Geometry by Michael Serra, Key Curriculum Press. Blackline masters. For grades 8-10. This book takes advantage of student's enthusiasm for finding errors in handouts and books to exercise their basic geometry skills and visual thinking. it contains 72 pages that are perfect as warm-up exercises, homework, or group activities. Each page has up to four problems, of which at least one is worked correctly and at least one contains an error, optical illusion, or conflicting information; students reason out the problems to find the incorrect one. BTH-1407. $16.16-D

Zome Geometry: Hands-on Learning with Zome Models by George W. Hart and Henri Picciotto, 2001. This book uses more than 60 easy-to-follow activities and over 150 explorations to help students build spatial, conceptual, visualization, and geometric skills. They will explore a wide variety of geometry topics, including proportion, symmetry, area, volume, and coordinates. They will learn to prove there are only five Platonic solids and to analyze the thirteen Archimedean solids. They will also discover Euler's theorem and verify Descartes' theorem of angular deficit. They will  have an opportunity to investigate space filling, duality, fractals, and the fourth dimension. Included is an eight-page color insert of full color images of various constructions. 265 pages. Answers and index are found at the back. Can be used with middle school students, but is intended for high school. BTH-4981. Follow link to check availability and current price. If I'm out of stock, I can order this for you.

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