# Understanding Algebra I (Mathematical Reasoning) (Gr. 7-9)

Item #: | 060818 |
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ISBN: | 9781601448866 |

Grades: | 7-9 |

#### Product Description:

The word 'Algebra' can strike fear into the hearts of many, but Critical Thinking Press has done their part to calm your math nerves and prepare students for higher level math in Understanding Algebra. The newest member of the Mathematical Reasoning line is a full one year algebra course for students at the junior high and high school level in a consumable format.

The information in this worktext is a user-friendly format and presented in a step-by-step fashion. The text makes a connection between the arithmetic of the elementary years to the algebra they need to succeed in high school math. Twelve chapters begin with the basics and build upon each other Our number system, Evaluating Expressions and Solving Equations, From Words to Algebra/Translating and Solving Word Problems, From Words to Algebra/More Word Problems, Inequalities, Polynomials, Factoring, Working with Radicals, Linear Functions, Systems of Equations and Inequalities, Other Types of Functions, and Working with Algebraic Fractions.

The author begins the book with a simple explanation of "What is Algebra," and then jumps right in. Each chapter is 20 to 30 pages in length and broken into topics. Each topic or lesson offers the student explanations and examples in a very visual fashion. Colored charts, illustrations, and graphs are incorporated for clarity of explanations. Within the lessons, students will be asked questions to assure they know the concept being presented and a 'more practice' section rounds out the lesson. Sets of 'Enrichment Problems' are scattered throughout the chapters to offer additional practice in higher-order thinking using plenty of word problems. There are no chapter tests in this book, so you would need to assess your student's understanding of the concepts by other means grades from the practice sets and exercises might be your best tool for assessment.

New for the 2017 edition are chapter reviews covering and a final exam.

A glossary that includes algebra vocabulary and an answer key are found at the back of the book. These are answers and not solutions. A helpful reference page is included. Students will learn about the history of math as they learn math strategies to help them with algebra and beyond. 378 pgs. pb. Reproducible for home and single classroom use. ~ Donna

#### Publisher Description:

Algebra is the gateway to success in future math and science courses in high school. Students who have a solid algebra background will have no trouble with the algebra problems from SAT and even the GRE. Understanding Algebra I highlights vocabulary, notation, and has examples from the history of math.

This book is a one year Algebra I course for upper middle school and high school. What makes this book unique and different from other algebra textbooks is that it is built from the experiences of an award-winning algebra teacher with over 30 years of teaching experience.

Many textbooks are written by a committee of authors, and many of those authors have little experience teaching beginning algebra students in middle school or high school. These authors divide their work by chapters and often do not consider how concepts in each chapter are connected to later chapters. This leads to textbooks that teach concepts without providing the necessary prerequisite knowledge and skills students need to understand the concept being taught.

*Understanding Algebra I* presents the most essential concepts and skills needed to fully understand and gain confidence in algebra in a step-by-step fashion, teaching students that algebra is generalized arithmetic. It helps students see the connection between mathematics that they already know and algebra so that learning algebra becomes easier and less abstract. *Understanding Algebra* I provides students with real strategies to succeed in solving word problems by using charts and translating strategies that guarantee success.

Drawing from the author's extensive experience teaching algebra to many students with varying strengths, this book explains algebraic concepts simply and effectively and gives special attention to concepts students frequently find confusing. *Understanding Algebra I* also uses critical thinking questions to help students improve their understanding and master the core concepts and skills of Algebra I. Students who complete this work successfully develop confidence in their algebra skills and many even develop a love for algebra and the power of higher level mathematics.

**Category Description for Mathematical Reasoning (Gr. PK-9):**

At such an early age, mathematical reasoning begins with simple activities such as distinguishing between even or odd amounts and learning the ordinal numbers. This series is correlated to the NCTM standards and accordingly incorporates topics such as patterns, number concepts/number lines, graphs, fractions, probability, geometry, and problem solving, as well as basic operations. The full color activity sheets should especially appeal to the younger student. Not only are the illustrations eye-catching, but they do an excellent job of demonstrating mathematical representations and relationships. Although manipulatives are not required, a link to a virtual manipulative website is provided in case additional concrete level reinforcement is needed. A wide variety of exercises and activities are utilized to keep your child both interested and motivated. For instance, Thinker Doodles and Mind Benders activities from parent company Critical Thinking are scattered throughout.

* Beginning 1* focuses on numbers 1-5 while *Beginning 2* focuses on 0-10, and they are intended for use with 3 and 4 year olds. The concepts are presented in a spiral fashion, so students will see the concept repeated at different intervals throughout the book. In most cases, children who finish these first two books should be ready to tackle kindergarten math.

Books A through F are for grades kindergarten through 5th grade, and can be used as core math curriculum. We also like to recommend them as a critical thinking supplement for any math program that is light in that particular area. These books incorporate the same spiral approach found in the Beginning books. Level G has been added for 6th grade and goes beyond drill and practice. It incorporates discussion-based problem solving to prepare students for the reasoning required for upper-level math.

Book 2 of the original series, Mathematical Reasoning Through Verbal Analysis, can be used after the series as a supplement to your math curriculum. A more analytical or math reasoning approach is needed for higher level math and this book will help fill that need. This book can also be used as a reference and resource tool to fill in gaps. Since the book is nicely organized by "strands" (topics), and, additionally, into subtopics, you can easily find problem solving exercises to help repair any deficiency detected or an alternate way of teaching a concept (useful if your child has developed a case of "math block" to understanding a particular concept). Topics cover the entire realm of elementary math: understanding numbers, counting, sequencing, geometry, basic arithmetic operations, measurement, numerical comparisons (greater than, less than, equal to), and tables and graphs. The teacher's manual contains teaching suggestions and the answers. These books are reproducible for family use and range in length from 240-380+ pages.

**Category Description for COMPREHENSIVE PROGRAMS - ELEMENTARY:**

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