Key takeaways
- Homeschooled students score at the 84th percentile in math on average—well above national norms[1]
- The mastery vs. spiral debate matters: mastery programs teach one concept deeply before moving on; spiral programs revisit topics throughout the year
- Most families spend $50-150 per year on math curriculum, though free options like Khan Academy and The Good and the Beautiful work well for many
- If math time consistently ends in tears, that's a sign to switch curricula—not a sign that your child is "bad at math"
Here's a secret most curriculum vendors won't tell you: the "best" math curriculum doesn't exist. What exists is the best fit for your specific child, your teaching style, and your family's constraints. A program that transforms one child into a confident problem-solver might reduce another to tears.
That's the frustrating reality of choosing homeschool math curriculum. With dozens of options—each promising to make math "click"—parents face analysis paralysis before they've taught a single lesson. And unlike reading, where multiple approaches lead to literacy, math builds sequentially. Skip a foundational concept and everything afterward wobbles.
The good news: homeschooled students consistently outperform national averages in mathematics, scoring at the 84th percentile on standardized tests[1]. You don't need a math degree to teach math well. What you need is a curriculum that matches how your child learns, realistic expectations about parent involvement, and permission to change course when something isn't working.
This guide cuts through the marketing claims. We'll explain the teaching philosophies behind different programs, give you honest assessments of the most popular options, and help you match your child's learning style to a curriculum that actually fits.
Mastery vs. Spiral: The First Question to Answer
Before comparing specific curricula, you need to understand the fundamental divide in math education. Every program falls somewhere on the spectrum between two approaches, and choosing wrong for your child's brain can make math miserable.
Mastery-based programs teach one concept thoroughly before moving to the next. Your child might spend three weeks on fractions, working until they've genuinely mastered the skill. Then they move on—and rarely revisit fractions until the next level. Singapore Math, Math-U-See, and Math Mammoth follow this approach.
The advantage: deep understanding. The risk: if too much time passes between topics, kids forget what they learned.
Spiral programs introduce concepts, move on, then circle back repeatedly throughout the year. Your child might learn basic fractions in September, practice them again in November alongside new material, and revisit them in February at a slightly harder level. Saxon Math and Horizons exemplify this approach.
The advantage: constant review builds retention. The risk: some children feel like they never "finish" a topic, and the daily variety can feel scattered.
Neither approach is superior. The question is which matches your child. Does she need to fully understand something before moving on, or does she learn better through repeated exposure over time? Does constant review feel reassuring or tedious? Your answer points you toward an entire category of curricula.
Mastery vs. Spiral: Quick Comparison
Conceptual vs. Procedural: Another Key Distinction
The second major divide separates programs that emphasize understanding from those that emphasize execution.
Conceptual programs focus on the "why" behind math. Why does borrowing work in subtraction? Why do we flip and multiply when dividing fractions? Singapore Math is famously conceptual, moving from concrete manipulatives to visual diagrams to abstract numbers. The goal is mathematical thinking, not just correct answers.
Procedural programs focus on the "how"—teaching reliable methods for getting right answers. Saxon Math provides clear steps: do this, then this, then this. Students who follow the procedures consistently get consistent results, even if they don't deeply understand the underlying mathematics.
Conceptual programs tend to produce students who handle novel problems well but may calculate more slowly. Procedural programs produce students who compute efficiently but may struggle when problems don't match learned patterns. Most programs blend both approaches to some degree, but the emphasis varies.
Consider your goals. Preparing for standardized tests? Procedural fluency matters. Pursuing STEM careers? Conceptual understanding becomes essential. For most families, a balance works best—but knowing the distinction helps you evaluate programs honestly.
The Major Players: Honest Curriculum Reviews
Let's look at the curricula that dominate homeschool conversations. For each, we'll cover what it does well, where it falls short, and who it fits best. These aren't sanitized summaries—they're honest assessments based on how programs actually perform in real homeschools.
Saxon Math: The Rigorous Veteran
Saxon has been a homeschool staple for decades, and for good reason: students who complete Saxon consistently score well on standardized tests. The spiral approach means daily review of previous concepts alongside new material.
What works: The incremental approach builds retention through constant practice. Students don't just learn long division once—they practice it hundreds of times across the year. Parents appreciate the scripted lessons and clear structure. One homeschool parent reported her Saxon-educated daughter earned a full engineering scholarship, crediting the curriculum's rigorous foundation.
What doesn't: Saxon is time-intensive—often 45-60 minutes per lesson in upper grades. The constant review that builds retention can feel tedious to quick learners. The presentation is dry (black-and-white workbooks, minimal visuals), and some parents find it "drill and kill." Students who grasp concepts quickly may resent reviewing material they've already mastered.
Best for: Methodical learners who benefit from routine and repetition. Families who value standardized test performance. Students who understand concepts but easily forget without practice.
Cost: Approximately $100-150 per grade level for full set. Strong used market available.
Singapore Math: The Thinking Curriculum
Singapore Math refers to curricula modeled on Singapore's national math standards—which consistently produce top-scoring students in international assessments. The approach moves from concrete (manipulatives) to pictorial (bar models and diagrams) to abstract (numbers and symbols).
What works: Deep conceptual understanding. Singapore students learn why mathematical procedures work, not just how to execute them. The bar model method for word problems is particularly powerful—visual representations help students tackle complex problems systematically. A North Carolina school implementing Singapore Math saw a 52% improvement in math scores after one year.
What doesn't: Singapore Math requires significant parent involvement, especially in early grades. The approach assumes mathematical confidence from the teacher. Unlike scripted programs, you need to understand the concepts yourself to teach them effectively. The U.S. editions (Primary Mathematics, Dimensions Math) vary in quality and support materials.
Best for: Families who value mathematical thinking over computation speed. Parents confident in their own math abilities. Students who ask "why?" and need to understand concepts to retain them. Gifted students who are bored by other programs.
Cost: $50-120 per grade level depending on edition and components.
Math-U-See: Hands-On Mastery
Math-U-See combines video instruction with physical manipulatives (colored blocks representing place values). The mastery approach means students work on one concept until they've genuinely learned it before moving forward.
What works: The hands-on blocks help visual and kinesthetic learners grasp abstract concepts. Video instruction means parents don't need to teach directly—Steve Demme explains each lesson while you watch alongside your child. Many families report that children who struggled with other curricula finally "get" math with Math-U-See. The "teach-back" method (having students explain concepts) builds genuine understanding.
What doesn't: The mastery approach means some topics receive extensive time while others feel rushed. Some parents note insufficient review of previously learned concepts—once you've "mastered" multiplication, you may not practice it for months. The blocks are essential for early levels but some children resist using manipulatives as they get older.
Best for: Visual and kinesthetic learners. Students who struggled with other programs. Families wanting video instruction without teaching directly. Kids who need to understand "why" before they can reliably execute "how."
Cost: $140-180 per level including blocks and materials. Blocks can be reused across levels.
Teaching Textbooks: Independent Learning
Teaching Textbooks is the curriculum homeschool parents recommend most often when asked "what's easiest to implement?" Video lessons teach each concept, students work problems on the computer, and everything is automatically graded. Parents can step back entirely.
What works: True independence. Students can learn math without parent instruction or grading. The animated presentation engages reluctant learners more than textbooks. Immediate feedback on every problem helps students catch mistakes in real time. Parents report dramatically reduced math-related stress.
What doesn't: Teaching Textbooks runs approximately one grade level behind other rigorous programs. A student finishing "Algebra 1" may not be fully prepared for a standard Algebra 2 course. Some parents notice their children earn A's on Teaching Textbooks but score below average on standardized tests. The program emphasizes getting correct answers over deep understanding, and critical thinking development can lag.
Best for: Families needing hands-off implementation. Students who resist parent-taught math. Households where parent time is extremely limited. Learners who need engaging presentation to stay motivated.
Watch out: Don't rely solely on Teaching Textbooks grades to assess progress. Supplement with occasional standardized testing or independent problem-solving to ensure genuine learning.
Cost: $67 per year subscription (online access).
Beast Academy: Challenge for Advanced Learners
Beast Academy (and its high school continuation, Art of Problem Solving) targets students who find standard curricula too easy. The comic-book format presents advanced concepts through engaging storylines featuring monster characters attending math school.
What works: Genuine challenge. Beast Academy is one of the few elementary curricula that truly stretches gifted students. Problem-solving emphasis prepares students for math competitions and STEM pursuits. The graphic novel format makes advanced content accessible to young children. Students develop mathematical creativity, not just computational skill.
What doesn't: Beast Academy is significantly harder than grade-level curricula. A typical third-grader may struggle with Beast Academy 3. The program assumes mathematical aptitude—struggling students will feel defeated, not challenged. Parent support may be needed even for capable students encountering legitimately difficult problems.
Best for: Gifted students bored by standard curricula. Families preparing children for math competitions. Students with strong mathematical reasoning who need to be challenged. Kids who love puzzles and logic problems.
Not for: Struggling learners. Students who need confidence-building. Families wanting a program everyone can use together.
Cost: $96-160 per year depending on format (online vs. print).
Math Curriculum Comparison Chart
Free and Low-Cost Options Worth Considering
Not every effective curriculum costs hundreds of dollars. Several free or inexpensive options serve families well:
Khan Academy offers comprehensive video instruction from elementary through advanced math, completely free. The adaptive practice adjusts to student performance. It works excellently as a primary curriculum for motivated independent learners or as a supplement for drilling specific skills. The main limitation: no physical materials or hands-on components.
The Good and the Beautiful provides free PDF curriculum downloads through 6th grade. The Charlotte Mason-inspired approach includes short lessons with nature-themed problems. Quality is high for a free resource, though some families find the pacing slow.
Math Mammoth isn't free but costs around $40 per grade level—remarkably affordable for comprehensive curriculum. The mastery-based, worksheet-heavy approach works well for independent learners. Author Maria Miller provides clear explanations that many parents find superior to expensive alternatives.
Don't discount library resources either. Supplementing any curriculum with library books about mathematical concepts, math puzzles, and real-world applications costs nothing and enriches learning.
Teaching Math When You're "Not a Math Person"
Here's the uncomfortable truth: parent math anxiety transfers to children. Research from the University of Nebraska-Lincoln found that children of math-anxious parents learned less math and were more likely to develop anxiety themselves—but only when those parents frequently helped with homework[2]. The more anxious parents tried to help, the worse their children performed.
The solution isn't avoiding math instruction. It's addressing the anxiety while teaching.
Stop saying "I'm not a math person." This phrase gives children permission to give up. It's also probably not true—you use math constantly without realizing it. Cooking, budgeting, planning trips, adjusting recipes—all math.
Choose curriculum that doesn't require you to teach. Programs like Teaching Textbooks, Math-U-See, and CTC Math include video instruction. Your job becomes facilitating rather than explaining. You watch alongside your child and learn together.
Use math in daily life. Cooking together, calculating sale prices, measuring for projects, managing allowance—practical math reduces anxiety because it's tied to real purposes rather than abstract problems. Research shows that regular math activities at home help children develop positive math attitudes regardless of parent confidence[3].
Consider a math tutor for advanced levels. There's no shame in hiring help when your child reaches algebra or beyond. Many excellent homeschool families outsource high school math to tutors, online courses, or community college classes. Your job is ensuring your child learns, not proving you can teach everything yourself.
When to Switch Math Curriculum
Switching curriculum feels like admitting failure. It's not. Different programs fit different children, and you can't always predict fit in advance.
Switch if: Math time consistently ends in tears—yours or your child's. Your child shows no progress after genuine effort. The program takes significantly longer than the publisher suggests. Your gut says this isn't working, and you've given it an honest chance (usually 6-8 weeks minimum).
Don't switch if: You're only two weeks in and hitting initial resistance. Your child complains but is actually learning. You're attracted to something shinier without clear problems with your current program.
When you do switch: Use placement tests. Most publishers offer free assessments. Don't assume your child will continue at the same level—programs vary in scope and sequence. What's "4th grade" in one curriculum might be "5th grade" in another. Place your child where they'll succeed, even if it means moving back.
One caveat: don't switch constantly. Children need some consistency to build mathematical foundations. If you've changed curricula three times in one year, the problem might not be the curricula.
Teaching Multiple Children at Different Levels
Unlike history or science, math can't be taught family-style. A second-grader learning addition and a sixth-grader learning fractions need different instruction. This creates real logistical challenges for families with multiple children.
Schedule math at the same time, different levels. Start your oldest on a video lesson, move to your middle child for direct instruction, then check on your youngest doing manipulative work. Rotate through during the math block.
Lean on video instruction. Programs like Math-U-See and Teaching Textbooks let children work somewhat independently while you rotate between them.
Accept that older children can work more independently. By fourth or fifth grade, many children can read instructions and attempt problems before asking questions. Reserve your intensive teaching time for younger children who need more guidance.
Stagger ages if possible. Teaching a first-grader and third-grader simultaneously is manageable. Teaching a first-grader, fourth-grader, and seventh-grader stretches anyone thin. Consider focusing intensive instruction on the child at the most critical stage.
The goal isn't perfection—it's progress for everyone. Some days you'll feel like you're juggling poorly. That's normal. What matters is that each child moves forward over time.
Math Curriculum Selection Checklist
Math Curriculum Selection Checklist
- Identify your child's learning style
Visual learner? Needs hands-on materials? Benefits from repetition or prefers deep dives?
- Assess your available teaching time
Some programs require 10 minutes of parent time daily; others require an hour.
- Determine your budget
Options range from free to $400+/year. Used curriculum and resale value matter too.
- Check your state's math requirements
Some states require specific topics at specific grades. Know before you choose.
- Request or download sample lessons
Most publishers offer free samples. Try before you buy.
- Consider your long-term path
Will this curriculum carry you through high school, or will you need to switch?
- Verify ESA/EFA eligibility if applicable
If using education savings accounts, confirm your choice qualifies for reimbursement.
Special Situations: Struggling and Gifted Learners
Standard curriculum recommendations assume a "typical" learner. But what if your child struggles with math or blows through content meant for kids three years older?
For struggling learners: Look for programs with hands-on manipulatives (Math-U-See, RightStart Math), video instruction that can be replayed, and mastery approaches that don't rush forward. Consider that "struggling" might mean curriculum mismatch rather than inability. A child who fails with Saxon might thrive with Singapore Math, or vice versa. If struggle persists across multiple approaches, screening for dyscalculia or other learning differences may be worthwhile.
For gifted learners: Standard grade-level curricula bore advanced students, leading to behavior problems mistaken for attitude issues. Beast Academy offers genuine challenge for elementary students. Art of Problem Solving serves middle and high schoolers who exhaust standard options. Don't just accelerate—move faster through regular curriculum and you'll hit the same ceiling earlier. Look for programs that go deeper, not just faster.
Both struggling and gifted learners share one need: placement that matches their actual level, regardless of age or grade. A brilliant fourth-grader might need sixth-grade math. A struggling sixth-grader might need to solidify third-grade foundations. Ego investment in "grade level" hurts children. Place them where they'll learn.
The Bottom Line
Choosing math curriculum feels weighty because math builds on itself. Choose wrong, and you risk gaps that compound over years. But here's what the research actually shows: homeschooled students succeed in mathematics across vastly different curricula. Families using Saxon produce capable mathematicians. So do families using Singapore Math, Math-U-See, or eclectic approaches assembled from multiple sources.
What matters more than the specific curriculum: consistency, appropriate challenge level, and willingness to adjust when something isn't working. A child who completes any coherent math program through high school—staying engaged enough to keep learning—will be mathematically prepared for life.
Start with one program that seems to match your child's learning style and your family's constraints. Give it an honest trial of six to eight weeks. Pay attention to whether your child is learning, not just whether they're complaining. Adjust as needed—switching isn't failure; it's responsiveness.
And remember: you taught this child to count, to recognize shapes, to understand "more" and "less." You've been teaching math since they were toddlers. A curriculum is just a tool to continue what you've already begun.
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