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Summit Math Algebra 1 Book 7: Radical Expressions & Equations (2nd Edition)
SKU
078919
ISBN
9781712427170
Grade 6-10
Neutral
Low Teacher Involvement
Visual
Other Materials Optional
Conceptual/Topical
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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
There are additional required resources that are a separate purchase.
Other Materials Optional
There are additional resources mentioned or recommended but are not absolutely necessary.
Using guided discovery, this worktext progresses
through each topic in a way that gradually builds up the complexity and allows
students to work at their own pace. Includes eight sections, cumulative review
and extra practice for each section. Students can use this program after a standard
pre-algebra course. There are plenty of math problems and some are comparable
to standardized test problems. Answers are in the back for students to
check their work. ~ Gina
Publisher's Description of Summit Math Algebra 1 Book 7: Radical Expressions & Equations (2nd Edition)
In this book, students learn that a root is the inverse operation for an exponent because the purpose of a root is to undo the operation of an exponent. After learning about square roots, cube roots, fourth roots, et cetera, students focus on radical expressions that involve square roots for the majority of the book. They learn how to simplify radical expressions and then they learn how to perform operations of addition, subtraction, multiplication and division. Later in the book, they learn how to solve radical equations. The Pythagorean Theorem is the final topic explored in this book. Students learn about its origin and then learn how to solve a variety of scenarios that involve right triangles. This book builds on Algebra 1: Book 5.
Topics in this book:
Review exponents and square roots
Rational and irrational numbers
Simplifying radical expressions
Adding and subtracting radical expressions
Multiplying radical expressions
Dividing radical expressions
Solving radical equations
Using a disguised form of 1 to rationalize a denominator
If you are searching for an independent algebra program or a supplement to teach specific algebra concepts, Summit Math is worth your consideration. Using the guided discovery method, students make their own connections as they learn to master each scenario before moving on to the next. Each section builds on previous concepts already learned. The first half of the book incorporates the guided discovery approach, while the latter half uses extra practice sheets to improve understanding of the topics. Each section has an answer key. A placement test and pacing guide is provided for each level. The author states this is a complete program teaching typical topics in the Algebra I and II sequence while preparing students for standardized testing. If students feel they need extra instruction, a video subscription is available from the publisher. Free downloadable tests and a more detailed version of the answer key are also available at the publisher's website.