Concepts before shortcuts
Students work with models, diagrams, and mathematical relationships before moving toward symbols and efficient procedures. This supports a more deliberate path from “I can calculate” to “I can explain.”
Advanced Math • Grades 1–5
Build lasting mathematical understanding through concrete models, visual representations, and abstract reasoning in a structured Advanced Math pathway.
A clear starting point
Singapore Math tutoring for 3rd grade is a structured approach to enrichment that helps children understand why mathematical methods work, not only how to perform calculations. ACE Academy’s Advanced Math line uses the CPA teaching method: students begin with concrete understanding, move to pictorial models, and then develop abstract reasoning. The program is designed for G1–G5 learners, including third graders who want deeper concepts, stronger problem solving, and a foundation for future Honors or Competition Math.
Students work with models, diagrams, and mathematical relationships before moving toward symbols and efficient procedures. This supports a more deliberate path from “I can calculate” to “I can explain.”
The G1–G5 Advanced Math line covers regular learning progress while adding depth. For a third grader, it can provide a systematic bridge toward Honors Math and Competition Math when the student is ready.
Designed around the learner
Third grade is a useful point to strengthen mathematical language and reasoning. The following situations are specifically identified as good fits for the Advanced Math Singapore Math pathway.
Useful for a student who can calculate but needs more support understanding concepts, relationships, and solution logic.
Visual models and concrete representations give students another way to approach complex mathematical questions.
The course follows regular learning progress while giving students room for systematic extension and deeper exploration.
Lessons emphasize mathematical models, logical reasoning, expression, and problem solving instead of formula memorization alone.
The Advanced Math pathway is intended to help students prepare for later Honors Math or Competition Math study.
By moving through concrete, pictorial, and abstract stages, students can develop clearer ways to communicate mathematical ideas.
See the method in context
Imagine a third grader facing a multi-step word problem. Rather than immediately choosing an operation, the learner can first represent the known quantities with a model, inspect how the parts relate, and then translate that relationship into an equation. This is the kind of progression the CPA method is intended to support.
The learner identifies the quantities and their relationship using tangible or clearly defined representations before selecting a procedure.
A bar model, diagram, or other visual representation can make the structure of the problem easier to inspect and discuss.
Once the relationship is understood, the student moves toward equations, calculations, and a solution that can be explained.
Visual learning resource
ACE Academy’s supplied learning materials include examples in geometry, algebra, pre-algebra, and competition mathematics that show problems alongside solution steps.
A connected academic pathway
The starting point is a level-appropriate Advanced Math experience, with later pathways available for students who want to continue into more advanced or competition-focused mathematics.
Use a placement evaluation and trial experience to understand the student’s level and learning goals.
What the user sees: a recommended starting point.
Move from concrete understanding to pictorial models and then abstract mathematical reasoning in live instruction.
What the user sees: structured lessons and small-group interaction.
Continue along the Advanced Math line or prepare for Honors Math and Competition Math as appropriate.
What the user sees: a longer-term academic pathway.
Program detail
Evidence and perspective
Reported stronger logic after only eight lessons, according to a site survey.
Reported better learning habits in the supplied site figures.
Reported increased confidence in the supplied site survey data.
Trustpilot TrustScore shown in the provided company information.
“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.”
“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.”
“Join thousands of families who have transformed their children's academic journey with ACE Academy.”
“Highly rated by hundreds of families” is the context supplied with the Trustpilot TrustScore of 4.5 out of 5.
Make the right comparison
The supplied information describes ACE Academy’s specific curriculum and teaching approach. It does not provide verified performance claims about unnamed tutoring alternatives, so the comparison below distinguishes documented features from information that is not specified.
| Decision factor | Advanced Math pathway | Generic alternative A | Generic alternative B |
|---|---|---|---|
| Teaching method | CPA: concrete, pictorial, abstract | Not specified in the supplied information | Not specified in the supplied information |
| Curriculum structure | G1–G5 Advanced Math line with later Honors and Competition pathways | Not specified | Not specified |
| Class format | Premium small-group experience; references vary by program | Not specified | Not specified |
| Placement support | Placement evaluations and free trial classes are offered | Not specified | Not specified |
| Published sample pricing | 36 lessons: $999; 72 lessons: $1,819 in supplied examples | Not specified | Not specified |
At a glance
LingoAce founded
Teacher selection rate cited for competitive math faculty
Instructors reported with master’s or doctoral degrees
Classes delivered in the supplied site figures
Learning locations
Global learning centers are listed in San Jose, Great Neck, Scarsdale, Melbourne, and Singapore, alongside online learning options.
Continue exploring
Families comparing conceptual Singapore Math with more traditional tutoring can focus on the role of models, explanations, and structured reasoning.
Compare Singapore Math approachesThe Advanced Math line is described as preparation for Honors Math and Competition Math, making progression a relevant planning question.
Plan for middle school readinessStudents with a solid foundation may use Advanced Math as a structured starting point before moving toward higher-level enrichment.
Explore elementary enrichmentQuestions parents ask
The Advanced Math Singapore Math line is described as serving G1–G5 students, which includes third grade. It is especially relevant for students who want systematic enrichment beyond their school mathematics course. It may also suit learners who can calculate but need more conceptual understanding and problem-solving structure. ACE Academy uses placement evaluations and free trial classes to help match a student to an appropriate level. Families should use that evaluation process rather than assuming that every third grader should begin at the same point.
CPA stands for Concrete, Pictorial, and Abstract. In practical terms, the learner first develops meaning through concrete understanding, then uses diagrams or models to represent relationships, and finally works with symbols and abstract mathematics. The sequence is intended to reduce dependence on memorized formulas and shortcuts. For a third grader, this can make a multi-step question easier to discuss because the model shows how quantities relate. The approach also gives teachers a structured way to move from an intuitive explanation toward formal mathematical expression.
The supplied description positions Advanced Math as a curriculum pathway rather than isolated, lesson-by-lesson homework assistance. It covers regular learning progress while adding conceptual depth, model building, logical reasoning, and problem solving. The course also has a stated connection to later Honors Math and Competition Math. That structure can be useful for families seeking continuity across multiple stages of mathematics. The available information does not claim that the program replaces a child’s school course or provides every form of homework support, so parents should clarify their specific need during placement.
ACE Academy provides live online classes and also operates learning centers in selected locations. The supplied locations include San Jose, Great Neck, Scarsdale, Melbourne, and Singapore. Availability, scheduling, and the exact class format can vary by program and location. The company information describes small-group classes, with references ranging from six to twelve students depending on the program. Families who prefer a physical center should confirm the nearest location, while families learning remotely can ask about online placement and scheduling.
The supplied company information gives sample math package pricing of $999 for 36 lessons and $1,819 for 72 lessons. These figures are presented as examples, so they should not be treated as a universal quote for every third grade student or schedule. Pricing may depend on the selected program, package, class format, and enrollment terms. A placement evaluation or consultation can help clarify which course and package are appropriate. Families should confirm current pricing directly with ACE Academy before enrolling.
Yes, the supplied course information specifically describes Advanced Math as a foundation for future Honors Math and Competition Math. The stated progression is Advanced Math Singapore Math enrichment to Honors Math, or Advanced Math to Competition Math. Honors Math is described as using AoPS materials across Pre-Algebra, Algebra I, Geometry, and Calculus, while Competition Math focuses on higher-difficulty contest preparation. A third grader does not need to choose a future track immediately. Placement, readiness, and the student’s goals should guide the next step.
Start with the right level
Book a free trial or speak with the team about a Singapore Math pathway built around conceptual understanding, models, and reasoning.