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Pre Algebra with Pizzazz Answer Key

Janis Marcy and Steve Marcy Santa Monica-Malibu Unified School District Limited Reproduction Permission: Permission to duplicate these materials is limited to the teacher for whom they are purchased. Reproduction for an entire school or school district is unlawful and strictly prohibited. The authors wish to thank Mr. Bob Fine and especially all of our former students in Azusa, Inglewood, Los Angeles, and Santa Monica, California.

The illustration on page 134 is reprinted with permission of PriceISternlSloan Publishers, from the book THE COMPLEAT DROODLES, O 1964. Cover by Nimbus Design O 1978, 1996, 2002 Wright GroupIMcGraw-Hill One Prudential Plaza Chicago, IL 60601 Printed in the United States of America ISBN: 0-88488-151-2 7 8 9 10 ii MAL 09 08 07 PRE-ALGEBRA WITH PIZZAZZ! Q Creative Publications A MESSAGE FROM THE AUTHORS Pre-Algebra With Pizzazz! is a series of enrichment books designed to provide practice with skills and concepts taught in pre-algebra classes.

The authors believe that mastery of math skills and concepts requires good teaching and also a great deal of practice. Our goal is to provide puzzle activities that make this practice more effective. We have tried to build into these activities certain characteristics that increase the effectiveness of practice: 1. Motivating Goal for the Student. Each puzzle has a goal that is motivating to students. Students work problems in order to discover the punch line of a joke or riddle, decode a humorous poem or one-liner, create an interesting picture, etc. Thus, the solution is a built-in reward to the student when he or she completes the puzzle. In addition, the variety and novelty of procedures for solving puzzles help capture and maintain student interest. 2. Knowledge of Results. Various devices are used in the puzzles to tell students whether or not their answers are correct. In most of the puzzles, feedback occurs immediately after the student works each exercise.

For example, if a particular answer is not in the code or scrambled answer list, the student knows it is incorrect. The student can then try again or ask for help. Additional feedback occurs when the student achieves a puzzle solution that is appropriate. We have found that students greatly appreciate and benefit from this immediate knowledge of results. 3. Focus on a Single, Clear Objective. Though review puzzles are included which involve multiple objectives, most of the puzzles focus on single objectives. The skills and concepts required for each puzzle are limited so that students with different levels of ability, though possibly requiring differing amounts of preliminary instruction, can experience success. In some puzzles, the exercises are sequenced so that students can discover a pattern, generalization, or method for solving a different type of exercise.

Our goal is for all students to feel successful when doing mathematics. In addition to these efforts to make the puzzles highly effective, we have tried to make Pre-Algebra With Pizzazz! easy to use. Two lists of objectives-a summary list and a complete list-and the specific puzzles that provide practice for each objective are given on pages v-xix. The major objectives of most pre-algebra textbooks are included within this series. We have tried to arrange the puzzles on a given topic so that each puzzle builds on skills and concepts previously covered. Nearly all Pre-Algebra With Pizzazz! puzzles require only one page. Finally, because the puzzles are self-correcting, they help eliminate the task of correcting assignments. We hope you,enjoy using Pre-Algebra With Pizzazz! as much as we enjoyed writing it. Steve and Janis Marcy PRE-ALGEBRA WITH PIZZAZZ! 8 Creative Publications iii Suggestions for Using Pre-Algebra With Pizzazz! Pre-Algebra With Pizzazz! puzzles can serve a variety of purposes. They are suitable for classwork or homework practice following introduction of a new skill or concept. They are ideal for an individualized program, as students can work independently on puzzles selected to meet their specific needs. Finally, the’puzzles can be a valuable addition to a math lab. 1. Reproduction. Pre-Algebra With Pizzazz! pages may be removed from the binder and used as blackline masters. The pages are especia,lly accessible and easy to use. 2. Directions. Directions for each puzzle are simple and concise.

Most students will have no difficulty getting started on most of the puzzles, though you may occasionally want to work through the first problem with your students, showing where the answers are to go, etc. An overhead transparency of a puzzle may facilitate discussion, especially for puzzles that include geometric figures. Students sometimes get excited and call out the solution, when they solve a puzzle, so you may want to caution your class about this before they begin working. 3. Objectives. Two lists of objectives-a summary list and a complete list (expressed in terms of learner behaviors)-and the specific puzzles that provide practice for each objective are given on pages v-xix. These objectives may be helpful in planning or in writing test items. 4. Showing Work. Though some exercises can be done mentally, many require paper-and- pencil (or calculator) computations. If you require the use of paper and pencil, you may wish to have students hand in their scratch paper for each puzzle with the work for each problem identified.

If students use calculators, you may want them to hand in a record of computations performed. Requiring students to show their work can help in diagnosing individual strengths and weaknesses. Other Books by Steve and Janis Marcy published by Creative Publications: Middle School Math With Pizzazz! Book A Operations with whole numbers, basic facts, place value, and numeration Middle School Math With Pizzazz! Book 6 Decimals, operations, applications, and problem-solving strategies Middle School Math With Pizzazz! Book C Fraction concepts and operations, number theory, and relating fractions and decimals Middle School Math With Pizzazz! Book D Measurement, geometry, area, perimeter, angles, square roots, and right triangles Middle School Math With Pizzazz! Book E Percent, probability, ratio and proportion, statistics, integers, and equations Algebra With Pizzazz! Practice activities for first-year algebra students .

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