Curriculum guides
The Best Algebra Homeschool Curriculum Options, Compared
An honest comparison of popular algebra homeschool curricula — Saxon Math, Teaching Textbooks, Math-U-See, Denison Algebra, Khan Academy, and Art of Problem Solving — and how to pick the right one for your student.
· 8 min read · Vector Mountain Team

Algebra 1 is the course where math either clicks or cracks. It’s the first time students work with abstraction all day long, and the curriculum you choose shapes whether that abstraction feels like a puzzle or a wall. Homeschool families have more good options than ever — but they differ sharply in teaching style, rigor, and how much support they give a student who gets stuck.
Here’s an honest look at the most widely used algebra homeschool curricula, what each does best, and who each one fits.
The quick comparison
| Curriculum | Approach | Strongest fit |
|---|---|---|
| Saxon Math | Incremental lessons with heavy spiral review, text-based | Disciplined students who thrive on routine and repetition |
| Teaching Textbooks | Computer-delivered lessons with automated grading | Independent learners; parents who can’t teach math daily |
| Math-U-See | Mastery sequence with manipulatives and instructor videos | Hands-on learners who need the “why” made visible |
| Denison Algebra | Teacher-led videos, guided notes, and paper-based practice | Students who want a clear, structured, teacher-led course |
| Khan Academy | Free video lessons with online mastery practice | Self-directed students; families on a tight budget |
| Art of Problem Solving | Discovery-based, deeply rigorous problem solving | Students who love math and want to be challenged |
Saxon Math
The classic. Saxon breaks algebra into small increments and reviews relentlessly — every problem set mixes today’s topic with weeks of prior material. That spiral structure is genuinely effective for retention, and it’s a big part of why Saxon has stayed a homeschool staple for decades. The trade-off is the experience: lessons are text-dense, black-and-white, and repetitive. Students who need to hear an explanation, or who disengage from long problem lists, tend to burn out on it.
Teaching Textbooks
Teaching Textbooks moved the teacher into the computer: every lesson is narrated, every problem is graded automatically, and the gradebook keeps itself. For parents who don’t feel equipped to teach algebra, that automation is a lifesaver. It’s widely regarded as one of the gentler options — which is also the common criticism. Students aiming at STEM tracks sometimes find it under-prepares them for the pace of later courses, and the feedback is right/wrong rather than diagnostic: it can’t see where in your written work things went sideways.
Math-U-See
Math-U-See is built around making abstraction physical: colored manipulative blocks model algebraic ideas, and Steve Demme’s instructional videos walk through each concept before students practice. It’s a true mastery program — you stay on a topic until it’s solid — and it’s excellent for students who need concepts grounded in something they can see and touch. Its sequence is its own, though, which can make switching curricula or benchmarking against grade-level standards awkward.
Denison Algebra
Denison Algebra pairs daily teaching videos with a consumable textbook, guided notes, and paper-based assignments. The notes shown in each video match what students see on the page, and a separate video library works through every homework and test problem. Its standard Algebra 1 course covers a full high-school sequence with a clear, layered approach, making it a strong fit for students who value direct explanations and a predictable daily routine. The trade-off is that some explanations can feel more drawn out than students expecting quick, tightly edited lessons may prefer. Because the course is built for independent study, students also need to manage their pace and take responsibility for checking and correcting their work.
Khan Academy
Khan Academy is free, comprehensive, and aligned to Common Core, with video explanations and unlimited practice. It can be an effective supplement for reviewing concepts and getting additional practice. As a complete homeschool curriculum it asks a lot of the student: there’s no built-in pacing, no physical workbook, and nobody noticing when a student is quietly lost. It works best for students who are comfortable setting their own pace and staying on track.
Art of Problem Solving (AoPS)
AoPS is the deep end. Its Introduction to Algebra teaches through hard problems that students are expected to wrestle with before the method is revealed. For mathematically gifted students it’s extraordinary — genuinely one of the best math books ever written for that audience. For a student who is unsure of themselves in math, it’s the wrong tool: the struggle that energizes one student demoralizes another.
How to choose
- Match the explanation style to your learner. A student who tunes out reading needs a video- or audio-first program, not a denser textbook.
- Ask what happens when they’re stuck. This is the single biggest difference between programs. Automated grading tells a student that they’re wrong; a good teacher — human or AI — shows them where and why.
- Check standards alignment. If your student may re-enter school or take standardized tests, a Common Core-aligned scope and sequence saves painful gap-filling later.
- Keep handwritten work in the loop. Math learned only by clicking multiple-choice answers tends to evaporate. Students should still be solving on paper or a tablet, by hand.
Where Vector Mountain fits
We built Vector Mountain because we kept seeing the same gap: programs were either complete but silent (textbooks with answer keys) or engaging but shallow (apps that only check final answers). Our Algebra 1 course is a complete, Common Core-aligned curriculum — 16 chapters, 103 lessons, daily spiral review, and a printable workbook — where every lesson is explained in short videos and audio, for students who learn best by listening. Students who want to push further can also choose optional Challenge Zone stretch problems and SAT Corner practice.
And when a student gets stuck, they ask Vector, the AI guide built into the course. Vector answers out loud and writes out the math for that student’s exact problem. Students solve by hand — on a tablet, or on paper photographed with a phone or document camera — and Vector reads their actual written work and points to the specific step that went wrong. That’s the piece automated grading has always been missing.
Wondering what to look for regardless of which program you pick? We’ve broken down the research-backed principles that make an algebra curriculum effective.