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

SKU
060818
ISBN
9781601448866
Grade 7-9
Neutral
Low Teacher Involvement
Visual
Spiral
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Teaching Method
Traditional
Teacher-centered curriculum commonly used in classrooms that may include a text, teacher manual, tests, etc.
Charlotte Mason
A methodology based on the work of a 19th century educator who maintained that children learn best from literature (Living Books), not textbooks.
Classical
A methodology based on the Latin Trivium (three stages of learning), including the grammar stage (memorization and facts), logic stage (critical thinking), and rhetoric stage (developing/defending ideas).
Unit Study
A thematic or topical approach centered around one topic that integrates multiple subject areas.
Montessori (Discovery)
A methodology based on the work of a 20th century educator that emphasizes student and sensory-driven discovery learning and real-life applications.
Other
Other methodologies
Religious Content
Secular
Contains content contrary to common Christian beliefs (i.e. evolution).
Neutral
Avoids religious or theoretical topics or presents multiple viewpoints without preference.
Christian/Religious
Faith-based or including instructional religious content.
Learning Modality
Auditory
Learns through listening, talking out loud or reading out loud.
Visual
Learns through seeing, prefers written instructions and visual materials.
Kinesthetic/Tactile (Hands-On)
Learns through moving, doing and touching.
Multi-Sensory
Curriculum that employ a variety of activities/components.
Presentation
Sequential
Curriculum progresses through well-defined learning objectives. Emphasizes mastery before moving to the next topic.
Spiral
Topics and concepts are repeated from level to level, adding more depth at each pass and connecting with review.
Conceptual/Topical
Focus is on the “why,” often with a unifying concept as well as specific skills; coverage may be broader.
Teacher Involvement
Low Teacher Involvement
Student-led materials; parent acts as a facilitator.
Medium Teacher Involvement
A mix of teacher-led time and independent student work.
High Teacher Involvement
Teacher-led lessons; may utilize discussions, hands-on activities and working together.
Additional Materials Required
No other materials needed
Everything you need is included.
Other Materials Required
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Other Materials Optional
There are additional resources mentioned or recommended but are not absolutely necessary.
Consumable
Consumable
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Non-Consumable
Not designed to be written in; reusable.
Understanding Algebra I (Mathematical Reasoning) (Gr. 7-9)
Our Price
$42.99
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Sample 1

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. COMPLETE SOLUTIONS ARE AVAILABLE FREE ON THE PUBLISHER WEBSITE. ~ Donna

Publisher's Description of Understanding Algebra I (Mathematical Reasoning) (Gr. 7-9)

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)

Mathematical Reasoning by The Critical Thinking Company is a colorful, engaging, full-color activity book series that builds strong mathematical reasoning and problem-solving skills from early childhood through middle school. Rather than rote memorization, students actively explore concepts through a wide variety of fun, thought-provoking activities.

The program follows a spiral approach with a Concrete → Semi-Concrete → Semi-Abstract → Abstract progression, helping students develop deep understanding and critical thinking.

Key Curriculum Features:

  • Covers number concepts, patterns, geometry, measurement, data analysis, fractions, probability, and problem-solving
  • NCTM standards aligned with strong emphasis on reasoning and real-world application
  • Engaging, full-color worksheets with eye-catching illustrations and hands-on activities
  • Spiral review that reinforces concepts over time
  • Suitable as a core curriculum or supplement for critical thinking and skill reinforcement
  • Begins with simple readiness skills for ages 3–4 and progresses to advanced topics through Grade 6, plus the Geometry level

Program Components:

  • Student Books: Full-color, consumable activity books (Levels Beginning 1 & 2 for ages 3–4; Levels A–G for Grades K–6; Geometry also available)
  • Answers provided in the back of books starting in Level B
  • Reproducible for family use

Mathematical Reasoning curriculum stands out for its fun, non-intimidating format that develops both mathematical skills and critical thinking. It is an excellent choice for homeschool families seeking an engaging, long-term math reasoning program that works well as a core or supplement.

Browse all Mathematical Reasoning levels and resources below!

Details
More Information
Product Format:Binder
Grades:7-9
Brand:Critical Thinking Company
ISBN:9781601448866
Length in Inches:11
Width in Inches:8.5
Height in Inches:1
Weight in Pounds:2.6
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