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Andre Castagna - Regents Geometry Power Pack Revised Edition

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Andre Castagna Regents Geometry Power Pack Revised Edition
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Copyright 2021 2020 2018 2017 2016 by Kaplan Inc dba Barrons - photo 1

Copyright 2021, 2020, 2018, 2017, 2016 by Kaplan, Inc., d/b/a Barrons Educational Series

All rights reserved under International and Pan-American Copyright Conventions. By payment of the required fees, you have been granted the non-exclusive, non-transferable right to access and read the text of this eBook on screen. No part of this text may be reproduced, transmitted, downloaded, decompiled, reverse engineered, or stored in or introduced into any information storage and retrieval system, in any form or by any means, whether electronic or mechanical, now known or hereinafter invented, without the express written permission of the publisher.

Published by Kaplan, Inc., d/b/a Barrons Educational Series
750 Third Avenue
New York, NY 10017
www.barronseduc.com

ISBN: 978-1-5062-7207-8

10 9 8 7 6 5 4 3 2 1

Dedication

To my loving wife, Loretta, who helped make this endeavor possible with her unwavering support; my geometry buddy Eva; and my future geometry buddies Rose and Henry.

Preface

This book presents the concepts, applications, and skills necessary for students to master the Geometry Common Core curriculum. Topics are grouped and presented in an easy-to-understand manner similar to what might be encountered in the classroom. Both students preparing for the Regents exam and teachers planning daily classroom lessons will find this book a valuable resource.

Special Features of This Book
  • Aligned with the Common Core
    This book has been rewritten to reflect the curriculum changes found in the Common Coreboth in content and in degree of critical thinking expected. The Geometry Common Core curriculum has placed more emphasis on transformational geometry, especially as applied to congruence. This emphasis has been integrated throughout the book in each chapter. Example problems and practice exercises can be found throughout this book. These demonstrate higher-level thinking, applying multiple concepts in a single problem, making connections between concepts, and demonstrating understanding in words.
  • Easy-to-Read Format
    Topics are arranged in a logical manner so that examples and practice problems build on material from previous chapters. This format complements the presentation of material a student may see in the classroom. The format makes this book an excellent resource both for improving understanding throughout the school year and for preparing for the Regents exam. Numerous example problems with step-by-step solutions are provided, along with many detailed figures and diagrams to illustrate and clarify the topic at hand. Each subsection begins with a Key Ideas summary of the major facts the student should take away from that section. Math Facts can be found throughout the book and provide further insight or interesting historical notes.
  • Review of Algebra Skills
    The first chapter of this book contains a review of practice problems of the algebra skills required to work through some of the problems encountered in geometry. Although many geometry problems involve pure reasoning, logic, and application of geometric principles, students can expect to encounter numerical problems in which they must apply equation-solving skills learned in previous years.
  • An Introduction to Proofs
    A step-by-step guide to writing accurate geometry proofs can be found in chapter 4. Students are provided with the opportunity to develop the skills needed to write proofs by starting with just a small handful of geometric concepts and tools. The scaffolding provided in this chapter will help students develop the skills and confidence needed to meet the demands of the Common Core curriculum successfully. Both the two-column and paragraph formats of proofs are presented.
  • A Wide Variety of Practice Problems and Two Actual Regents Exams
    The practice problems at the end of each subsection feature a range of complexity. Basic application of skills, including applying a formula or recalling a definition, lead into multistep problem solving and critical analysis. Problems that ask students to put their understanding in writing can also be found in each chapter. These practice problems include a large number of multiple-choice questions, similar to what can be expected on the Regents exam. The answers to all Check Your Understanding problems are provided. Two actual Regents exams with answer keys are included. These give students valuable experience with the style, format, and length of the Geometry Common Core Regents exam.
  • A Detailed Description of the Exam Format and Study Tips
    The format of the exam, point distribution among topics, and scoring conversion are thoroughly explained. Students can use this information to help focus their efforts and ensure that they thoroughly master topics with high point value. Study tips and advice for test day are provided to help students make the most of their study time.
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