Summit Math Algebra 1 Book 5: Factoring Polynomials & Solving Quadratic Equations (2nd Edition)

SKU
078917
ISBN
9781712465745
Grade 6-10
Neutral
Low Teacher Involvement
Visual
Other Materials Optional
Conceptual/Topical
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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Description

Using guided discovery, this worktext progresses through each topic in a way that gradually builds up the complexity. 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 5: Factoring Polynomials & Solving Quadratic Equations (2nd Edition)

This book builds on what students learn in Algebra 1: Book 4. Students learn how to think about multiplying polynomials in reverse order, which is known as factoring. They analyze factoring patterns that occur when a polynomial has a special structure like a difference of squares or a perfect square trinomial. They learn how to use factoring to solve quadratic equations and then they apply what they have learned as they solve a wide variety of scenarios that involve quadratic relationships. Near the end of the book, students are introduced to simplifying rational expressions, which they will study in more depth in Algebra 2: Book 4. They also learn about graphing parabolas, which they will study in more depth in Algebra 2: Book 3.

Topics in this book:

  • Review multiplying polynomials
  • Writing a trinomial as a product of two binomials
  • Factoring a difference of two squares
  • Factoring a perfect square trinomial
  • Using factoring to solve equations
  • Scenarios that involve factoring
  • Using factoring to simplify fractions
  • Introduction to graphing parabolas
  • Cumulative Review
  • Answer Key
Category Description for Summit Math Algebra

Summit Math is an independent, guided-discovery algebra and trigonometry curriculum that allows students to learn at their own pace. Using a step-by-step process, students actively engage in constructing and solving problems, building deep conceptual understanding before moving forward.

The program emphasizes problem-solving and mastery, making it ideal for self-motivated learners or as a supplement for specific algebra concepts.

Key Curriculum Features:

  • Guided discovery method where students explore scenarios and make their own connections
  • Incremental progression with immediate feedback through built-in answer keys
  • Focus on conceptual understanding and flexible problem-solving
  • Placement tests and pacing guides available for Algebra 1 and Algebra 2
  • Video subscription option for extra instruction available directly from the publisher

Program Components:

  • Algebra 1 & 2 Student Books: Consumable books with scenarios, practice sheets, and answer keys
  • Advanced Algebra with Trigonometry: Six-book series of consumable workbooks with two units each. Videos and placement test coming in the future

Summit Math stands out for its flexible, self-paced approach that encourages independent thinking and strong conceptual mastery. It is an excellent choice for homeschool families seeking a rigorous yet accessible algebra program with strong problem-solving focus.

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Details
More Information
Product Format:Paperback
Grades:6-10
Brand:Summit Math
ISBN:9781712465745
Length in Inches:11
Width in Inches:8.5
Height in Inches:0.25
Weight in Pounds:0.7
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