Math Without Borders Home Study Companions are
video-based companions to well-regarded high school math textbooks, primarily
Paul Foerster’s series. They provide clear, step-by-step video instruction and
worked solutions, making challenging courses manageable for homeschool
students.
The program pairs video lessons with a separate textbook
(not included) to deliver rigorous, college-prep math with strong conceptual
teaching and problem-solving focus.
Key Curriculum Features:
Short
video lessons with whiteboard explanations and worked solutions for
selected problems
Guided
discovery approach that encourages students to solve problems before
seeing solutions
Strong
preparation for college-level math and standardized tests
Resources
file with spreadsheets, printable PDFs, and additional materials
Flexible
pacing with half the problems as daily assignment and the rest for extra
practice
Program Components & Access:
Digital
Downloads: Video files emailed after purchase. Non-transferable;
usable on one computer only
Companion
Materials: Lesson setup instructions, links to free software, and
printable PDFs
Recommended Texts:
Algebra
1: Expressions, Equations, and Applications by Paul Foerster
Geometry:
A Guided Inquiry by Chakerian, Crabill, and Stein
Algebra
and Trigonometry: Functions and Applications by Paul Foerster
Precalculus
with Trigonometry: Concepts and Applications by Paul Foerster
Calculus:
Concepts and Applications by Paul Foerster
Schaum's
Outlines: College Physics by Eugene Hecht
Math Without Borders stands out for its calm,
clarifying video instruction that makes advanced math accessible. It is an
excellent choice for homeschool families seeking a rigorous, independent high
school math program with strong teacher support through videos.
Browse all Math Without Borders Home Study Companions
below!
These icons are designed to help you quickly understand and learn important information about our products.
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.
