Singapore Math vs Saxon Math: Which Homeschool Math Fits Your Child?

Updated · By Edulist · 8 sources

Saxon Math vs Singapore Math: side by side

Saxon MathSingapore Math
GradesK through CalculusK to 6 (Primary Mathematics)
StructureIncremental spiral: one small new idea, then mixed reviewMastery units: concrete, pictorial, abstract
Daily lessonWarm-up, new increment, practice, 20–30 mixed problemsParent-led problem with objects, then textbook and practice pages
Parent involvementHigh in K–3 (scripted); moderate from Math 5/4High through most grades
StrengthRetention through constant reviewConceptual understanding, mental math, word problems
Watch out forLong problem sets; rule-drivenLight on fact drill; edition choices confuse buyers
FormatPrint kitsPrint books
Typical cost (Oct 2026)About $120–$200 per level kit at homeschool retailersAbout $53 per semester (2022 Edition, three books), two semesters a year
ExtrasK–3 manipulatives kit, about $75Counters, base-ten blocks; optional word-problem books
PlacementFree placement tests from retailersFree placement tests on singaporemath.com
Religious contentNoneNone
Scholarship/ESA fitPrint curriculum is commonly allowable; each program decidesPrint curriculum is commonly allowable; each program decides
Scholarship programs on EdulistNone yetNone yet

Who should choose which

Saxon Math

Gr. K–12 · Curriculum · Books

Choose Saxon Math if…

Saxon fits kids who like predictable lessons and lots of practice, families who want one series from kindergarten to calculus, and students in grade 4 and up who can learn from worked examples with a parent checking answers.

Singapore Math

Gr. K–6 · Curriculum · Books

Choose Singapore Math if…

Singapore Math fits elementary children who are ready for deep thinking and multi-step word problems, parents who can teach lessons with counters and blocks, and families who want strong number sense and mental math.

Not sure yet? Save both and decide later. Your wishlist shows which scholarships can pay for each.

Singapore Math vs Saxon Math: the short answer

These are two of the most-used print math programs in American homeschools, and they come from opposite design ideas.

Singapore Math (Primary Mathematics) teaches each topic thoroughly before moving on. Children see an idea with objects, then pictures, then numbers, and they solve a lot of multi-step word problems. A parent teaches most lessons.

Saxon Math teaches in small increments. Each day adds one new idea, then a long mixed problem set reviews almost everything learned so far. Older students can read lessons alone, and the series runs from kindergarten to calculus.

If you want deep understanding in elementary and can teach daily, pick Singapore. If you want steady routine, strong retention and one series through high school, pick Saxon.

Teaching approach

Singapore Math uses a concrete-pictorial-abstract sequence and bar models to turn word problems into pictures. Mental math and number sense show up early, and geometry and early algebra thinking appear sooner than in most US programs. It is light on fact drill, so many families add practice.

Saxon Math is really two programs. Math K–3, by Nancy Larson, is scripted and parent-led, with a daily "Meeting" for calendar, money and counting. From Math 5/4 up, by Stephen Hake and John Saxon, it becomes a textbook: warm-ups, one new increment, a few practice problems, then a mostly-review problem set.

What a lesson looks like

Singapore: You work a problem together with counters or blocks, look at how the Student Book draws it, then your child does the Additional Practice pages. Each grade is split into A and B halves. By grades 4 and 5, many kids read the examples alone, but word problems still go better when you talk them through.

Saxon (5/4 and up): Your child does fact practice, a mental math item and a word problem, reads the new lesson, tries a few practice problems, then works 20 to 30 mixed problems. A parent checks answers with the solutions manual. Tests come every few lessons.

Price and value

Both are inexpensive next to boxed curricula, but they price differently. As of October 2026, a Singapore 2022 Edition semester (Student Book, Additional Practice and Home Instructor's Guide) is about $53 at list price, so a full grade is two semesters. Shipping applies to orders under $100.

Saxon homeschool kits usually run about $120 to $200 per level at major homeschool retailers, with higher HMH list prices. K–3 levels need a manipulatives kit, about $75 at Christianbook, and workbooks and tests are consumable for each child.

Singapore's edition choices (2022, US, Standards) and Saxon's skill-level names (5/4, 6/5, 7/6) both trip up first-time buyers, so take the free placement tests first.

Who should choose Saxon

  • Kids who like routine and do well with lots of practice
  • Students who forget skills unless they review them often
  • Families who want one series from K to calculus
  • Older students who can learn from worked examples on their own

Who should choose Singapore Math

  • Children who enjoy puzzles and thinking problems through
  • Parents who can teach most lessons, especially in K–3
  • Families who want strong mental math and bar-model problem solving
  • Kids who get bored with long sets of mixed review

Alternatives to both

See the best homeschool math curriculum and best elementary math curriculum.

Can you use a scholarship for either?

Often, yes. Print curriculum like Saxon and Singapore Math is commonly an allowable expense in education savings account programs such as the Arizona ESA and Florida's FES-UA. Each program decides what it covers and which vendors you can buy from, and some require purchases through a marketplace. Save both to your wishlist and apply once to the scholarships your family may qualify for.

Alternatives to Saxon Math and Singapore Math

Neither one feels right? These cover similar ground.

Math-U-See

Gr. K–12 · Curriculum · Books

Math Mammoth

Gr. K–8 · Curriculum · Books

Beast Academy

Gr. 1–6 · Curriculum · Books

Dimensions Math

Gr. Pre-K–8 · Curriculum · Books

Teaching Textbooks

Gr. 3–12 · App · Curriculum

Sources

  1. Christianbook: Saxon Math homeschool
  2. Cathy Duffy review: Saxon Math K–3
  3. Cathy Duffy review: Saxon 5/4 through Calculus
  4. Saxon middle grades placement test (PDF)
  5. Singapore Math FAQ
  6. Singapore Math placement tests
  7. Primary Mathematics 2022 Edition
  8. Cathy Duffy review: Singapore Primary Mathematics

Questions

Is Saxon spiral and Singapore mastery?

Mostly, yes. Saxon introduces one small piece at a time and mixes old topics into every problem set, which is the classic spiral design. Singapore teaches a topic in a unit until it is understood, with cumulative reviews to keep older skills fresh.

Which is harder, Saxon or Singapore?

Singapore's word problems and mental math feel harder to most kids, and students switching in from other programs often place a level or two below grade. Saxon's challenge is stamina: 20 to 30 mixed problems a day can feel long.

Can you switch from Saxon to Singapore Math?

Yes, but take Singapore's free placement test first. Because topics come in a different order, a child moving from Saxon may need to start lower than expected. Switching the other way usually means using Saxon's placement tests and its odd book names, like 5/4 and 7/6.

What do families use after Singapore Math?

Primary Mathematics ends at grade 6. Common next steps include Singapore's Dimensions Math for middle school, Saxon Algebra 1/2 or Algebra 1, Math-U-See or an online course. Placement tests help you pick the right start.

Do I need manipulatives?

For Saxon K–3, yes: the lessons call for a manipulatives kit, which Christianbook sells for about $75. Singapore works best with counters and base-ten blocks in the early grades, though many families use household objects.

Keep your favorites together.

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