Children learning together with a tablet and colored pencils

Advanced Math · Grades 1–5

A Singapore Math Course for Homeschoolers Without Rote Memorization

Build deep mathematical understanding at home through Singapore Math principles and the Concrete–Pictorial–Abstract method, with a structured path from concepts to logical reasoning.

G1–G5
Advanced Math range
CPA
Learning method
4.5/5
Trustpilot score
95%
Reported 5-star ratings

A clear starting point

What Is a Singapore Math Course for Homeschoolers?

A Singapore Math course for homeschoolers is a structured elementary mathematics program that prioritizes conceptual understanding, visual models, and reasoning rather than memorizing procedures. ACE Academy’s Advanced Math line is designed for students in Grades 1–5 and uses the CPA sequence: students first work with concrete ideas, then represent relationships pictorially, and finally move to abstract notation. It is intended for families seeking more depth than a conventional pace while building a foundation for Honors Math and future competition study.

Designed for the homeschool journey

A Deeper Math Path for Elementary Learners

Teacher helping children study mathematics

Concepts before procedures

The course emphasizes understanding mathematical relationships, model building, logical reasoning, and problem solving. This gives homeschool families a learning framework that goes beyond completing isolated worksheets.

Student participating in an online mathematics lesson

A fit for ambitious homeschool plans

Advanced Math is designed for students who want systematic training and deeper exploration beyond the usual learning pace. It can serve as the first stage of a pathway toward Honors Math and Competition Math.

Child attending a live online class with a teacher

Live instruction with structure

Families can explore live online learning through ACE Academy’s broader math program. The format supports guided explanation, questions, and a consistent progression instead of leaving every lesson to parent-led instruction.

ACE Academy mathematics problem-solving example about a geometric lune

Reasoning that can be seen

ACE Academy learning materials include worked mathematical examples, including geometry problems that connect diagrams, formulas, and step-by-step reasoning. These examples show how a student can move from a visual model to an abstract solution.

Families comparing options can also explore Singapore Math for middle school readiness, Singapore Math for problem solving, and Singapore Math for gifted elementary students.

Outcomes that matter at home

What You Get

Build conceptual understanding before relying on memorized procedures.

Use models and visual representations to make mathematical relationships clearer.

Develop logical reasoning and structured problem-solving habits.

Extend beyond regular learning progress with deeper mathematical exploration.

Create a foundation for the later Honors Math and Competition Math pathways.

Practice explaining mathematical ideas instead of only presenting an answer.

A practical enrollment path

How It Works

Step 1

Share your learner’s goals

Start with the student’s grade, current needs, and interest in deeper or accelerated mathematics.

What you see: A clearer starting point.
Step 2

Find the appropriate level

Use a placement conversation or evaluation to identify the most suitable point in the math pathway.

What you see: A recommended learning direction.
Step 3

Begin systematic practice

Move through CPA-based learning that develops concepts, models, reasoning, and readiness for future study.

What you see: A structured math routine.

Built around a progression

Features

Core workflow features

  • Advanced Math designed for Grades 1–5.
  • Singapore Math teaching principles.
  • Concrete–Pictorial–Abstract progression.
  • Concept, model, and reasoning emphasis.
  • Content aligned with excellent private-school standards.

Reliability & control

  • Placement support to help identify an appropriate level.
  • Live online class option through the wider program.
  • Small-group Honors classes of 6–12 students.
  • Clear progression from elementary enrichment to advanced study.
  • Parent-facing trial and contact options before enrollment.

Integrations & export

  • Connect Advanced Math to the Honors Math pathway.
  • Progress toward Pre-Algebra and later secondary mathematics.
  • Potential continuation into Algebra I, Geometry, and Algebra II.
  • Longer-term coverage can extend through Pre-Calculus and Calculus.
  • Future competition preparation can follow through Competition Math.

For families planning ahead, see Singapore Math for advanced students, the Singapore Math placement process, and Singapore Math for competition preparation.

Evidence families can review

Proof

  • ACE Academy reports a Trustpilot TrustScore of 4.5/5.
  • Site figures report that 95% of families gave five-star ratings.
  • A site survey reports 93% stronger logic after eight lessons.
  • Additional site survey figures report 91% better learning habits and 95% increased confidence.
  • The broader faculty information states that more than 87% of instructors reported holding master’s or doctoral degrees.

“I love teaching at ACE Academy because I get to work with students of all personalities, and my experience helps me connect with each of them in meaningful ways. The curriculum is also thoughtfully designed, using engaging characters that make lessons more enjoyable and easier to understand for both students and teachers.”

— Basel Am, Teacher

“I love teaching at ACE Academy because I get to work with students of all personalities.”

— Kathleena M.S.R, Teacher

“The curriculum is thoughtfully designed, using engaging characters that make lessons more enjoyable.”

— Basel Am, Teacher

“Join thousands of families who have transformed their children's academic journey with ACE Academy.”

— ACE Academy site CTA

Choose the right kind of structure

Comparison: Why ACE Academy vs Alternatives

Decision factor ACE Academy Generic homeschool materials Unstructured tutoring
Learning approachSingapore Math and CPADepends on materialDepends on tutor
Primary emphasisConcepts, models, reasoningMay emphasize completionOften lesson-specific
Grade focusAdvanced Math for G1–G5Varies by resourceVaries by tutor
Long-term pathwayAdvanced → Honors → CompetitionNot necessarily definedNot necessarily defined
Placement supportTrial and placement optionsFamily-ledTutor-led

At a glance

Credentials & Key Stats

G1–G5

Advanced Math grade range

6–12

Students in Honors classes

4.5/5

Trustpilot TrustScore

87%+

Instructors reporting advanced degrees

4.5 out of 5 stars

Questions homeschool families ask

FAQs

Is this Singapore Math course suitable for homeschoolers?+

The Advanced Math line is designed for students in Grades 1–5. It is relevant for homeschool families looking for a structured mathematics experience with more conceptual depth than routine practice alone. The course uses Singapore Math principles and the Concrete–Pictorial–Abstract method. Its stated focus is concept understanding, model construction, and logical reasoning. Families can use a free trial or placement conversation to discuss whether the level fits the student.

What does CPA mean in Singapore Math?+

CPA means Concrete, Pictorial, and Abstract. Concrete learning begins with tangible or directly understandable representations of a mathematical idea. Pictorial learning then uses diagrams, models, or visual relationships to represent that idea. Abstract learning moves toward symbols, equations, and formal mathematical language. In this course, the sequence is used to support understanding before students rely on abstract procedures.

How does the course fit into a homeschool math plan?+

The course can serve as a structured Advanced Math option for Grades 1–5. It is intended for students who want to move beyond regular learning progress and explore mathematical ideas in greater depth. The stated pathway continues from Advanced Math to Honors Math and then Competition Math. Honors Math covers a progression from Pre-Algebra through Calculus, while Competition Math supports higher-difficulty preparation. Placement support can help families determine where the student should begin.

Is the course only for students who are already advanced?+

The Advanced Math line is positioned for students with room and interest for deeper mathematical study. The available information does not state that every student must meet a particular test score or achievement threshold. ACE Academy offers placement evaluations and free trial classes to help match students to an appropriate level. Families can describe whether their priority is acceleration, deeper understanding, or preparation for later study. The most suitable recommendation therefore depends on the student’s current level and goals.

What are the class format and later course details?+

The Advanced Math information specifies the G1–G5 range and does not provide a fixed class length or package price for that line. Related Honors Math information states that classes contain 6–12 students. Honors classes are taught fully in English, with a formal term described as 18 lessons, one lesson per week, and 90 minutes per lesson. Honors content can include Pre-Algebra, Algebra I, Geometry, Algebra II, Pre-Calculus, and Calculus. Families should confirm current scheduling and pricing with ACE Academy before enrolling.

How much does the program cost, and is there a trial?+

The provided company information includes sample math package pricing of $999 for 36 lessons and $1,819 for 72 lessons. Those examples are identified as math pricing examples and should not automatically be treated as the current price of the Advanced Math homeschool course. Pricing can depend on the selected program, package, and enrollment details. ACE Academy promotes free trial classes and placement evaluations as ways to identify the right level. Families can use the trial link or contact the team at service@lingoace.zohodesk.com to confirm current availability and pricing.

Give Your Homeschool Math Plan More Depth

Start with a free trial or placement conversation to explore whether the G1–G5 Singapore Math pathway fits your learner.

Find a Singapore Math pathway for your homeschool learner