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.
Advanced Math · Grades 1–5
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.
A clear starting point
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
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.
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.
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 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
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
Start with the student’s grade, current needs, and interest in deeper or accelerated mathematics.
What you see: A clearer starting point.Use a placement conversation or evaluation to identify the most suitable point in the math pathway.
What you see: A recommended learning direction.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
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
“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
| Decision factor | ACE Academy | Generic homeschool materials | Unstructured tutoring |
|---|---|---|---|
| Learning approach | Singapore Math and CPA | Depends on material | Depends on tutor |
| Primary emphasis | Concepts, models, reasoning | May emphasize completion | Often lesson-specific |
| Grade focus | Advanced Math for G1–G5 | Varies by resource | Varies by tutor |
| Long-term pathway | Advanced → Honors → Competition | Not necessarily defined | Not necessarily defined |
| Placement support | Trial and placement options | Family-led | Tutor-led |
At a glance
Advanced Math grade range
Students in Honors classes
Trustpilot TrustScore
Instructors reporting advanced degrees
Questions homeschool families ask
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.
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.
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.
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.
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.
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.
Start with a free trial or placement conversation to explore whether the G1–G5 Singapore Math pathway fits your learner.