Advanced Algebra & Trigonometry - Book 3

SKU
022683
ISBN
9798345852033
Grade 9-12
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.
Consumable
Consumable
Designed to be written in; not reusable.
Non-Consumable
Not designed to be written in; reusable.
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Product Overview

  • Uses a guided discovery approach where students make their own connections so they can really understand and retain the concepts
  • Each book progresses through new topics and builds in difficulty
  • Completing the six-book series prepares students for a standard Calculus class

Description

Part of a six-book series, Advanced Algebra & Trigonometry Book 3 covers two units: Cubic & Polynomial Functions and Inverse, Square Root & Cube Root Functions. Students learn at their own pace as they work through each scenario in the consumable workbook. Extra practice pages reinforce concepts. 172 pgs. ~ Gina
Publisher's Description of Advanced Algebra & Trigonometry - Book 3
Unit 5​
  • Introduction to Cubic Functions
  • Applying Transformations to Cubic Functions
  • Graphing Cubic Functions
  • Writing a Cubic Function
  • Graphing Polynomial Functions
  • The Roots of a Polynomial Function
  • The Shape of a Polynomial Function at its Roots
  • The Multiplicity of a Root
  • Using a Calculator to Find the Roots of Polynomial Function
  • Solving Cubic Inequalities
  • Finding Real Roots of Polynomials
  • Making Connections Between Roots & Factors
  • Synthetic Division
  • Imaginary Roots of Polynomials
  • Rational Root Theorem
  • Polynomials with Imaginary Roots
  • The Remainder Theorem

​Unit 6
  • Notation for Inverse Functions
  • Graphing Inverse Functions
  • Inverses That are not Functions
  • Using Composition to Prove Two Functions are Inverses
  • The Square Root Function
  • Applying Transformations to Square Root Functions
  • Graphing Square Root Functions
  • Finding the Equation of a Square Root Function
  • The Domain & Range of a Square Root Function
  • The Cube Root Function
  • Applying Transformations to Cube Root Functions
  • Graphing Cube Root Functions
  • Finding the Equation of a Cube Root Function
  • Domains of Square Root Functions
  • Domains of Rational Functions
  • Combining Square Root & Rational Functions
Category Description for Summit Advanced Algebra and Trigonometry
Students learn at their own pace with this math course as the concepts are easy to understand and presented in a step-by-step process. The 6 consumable books (instead of a thick textbook) allow for a less intimidating feel and a sense of accomplishment as students complete each one. Each book has 2 parts. The first part has guided discovery scenarios which are brief explanations to new concepts that allow students to build on what they already know. After each explanation, students work through a few practice problems (including word problems) directly in the book. Students can check their answers with the answer key at the end of each section. The second part contains extra practice and review to reinforce learning. The content in this series is equivalent to some precalculus courses with a thorough coverage of trigonometry.  A placement test is available. ~ Gina
Details
More Information
Product Format:Paperback Book
Grades:9-12
Brand:Summit Math
ISBN:9798345852033
Length in Inches:11.0625
Width in Inches:8.5
Height in Inches:0.375
Weight in Pounds:0.95
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