Advanced Math for Grades 1–5
Help your child understand quantity relationships, draw the right model, and solve multi-step problems without relying on memorized formulas.
A clearer way to learn
Singapore Math bar model tutoring teaches students to represent quantities and relationships visually before moving to equations and abstract notation. A bar model can make a difficult word problem easier to see by showing the whole, its parts, comparisons, or proportional relationships. ACE Academy Advanced Math uses this approach with the CPA sequence: concrete understanding, pictorial representation, and abstract reasoning. The goal is not simply to produce an answer, but to help students explain why a solution works.
This is especially useful for learners who need support with multi-step applications, fractions, ratios, percentages, unit conversion, rate, time, and distance. Families comparing approaches can also explore Singapore Math versus traditional tutoring when deciding which learning structure fits their child.
Built around visible thinking
Students practice identifying the whole, the known parts, the unknown part, and the relationship between quantities. This visual step helps them choose an operation or equation with a reason rather than guessing.
Once the model is clear, students connect it to numbers, fractions, ratios, or algebraic expressions. The progression supports explanation, strategy selection, and independent problem solving across increasingly complex tasks.
Pre-Algebra extends model-based thinking into equations, inequalities, number theory, geometry, statistics, probability, and realistic applications. Students learn to recognize structure instead of treating every question as unrelated.
The learning cycle combines explanation, teacher demonstration, independent practice, and classroom discussion. ACE Academy states that 39% of classroom time is devoted to student active output.
A practical example
Suppose the number of boys and girls in a class is in the ratio 4:5, and there are 12 boys. A student can draw four equal sections for the boys and five equal sections for the girls. Since four sections represent 12 students, one section represents 3 students. The five girl sections therefore represent 15 students.
Draw 4 equal units for boys and 5 equal units for girls.
12 ÷ 4 = 3 students per unit.
5 × 3 = 15 girls.
The child can see that 12 corresponds to four equal parts before calculating the value of five parts. That same structure can support more complex questions involving three quantities, fractions, percentages, rates, and unit conversions.
See problem-solving applications →Outcomes families can see
Connect concrete quantities, visual models, and abstract notation in a deliberate sequence.
Translate written information into diagrams, relationships, equations, and solutions.
Break larger problems into manageable steps and select strategies with greater purpose.
Create a foundation for Honors Math, including Pre-Algebra, Algebra I, Geometry, Algebra II, Pre-Calculus, and Calculus.
Explain models, compare strategies, and show how an answer follows from the information given.
Use assignments, videos, reports, assessments, and parent APP visibility to support continuity.
A structured learning journey
Begin with a trial or placement conversation to identify the student’s goals and instructional fit.
What you see: a recommended starting point.
Teachers connect concrete ideas, pictorial models, and abstract mathematics through live small-group instruction.
What you see: models, examples, practice, and discussion.
Students complete practice and assessments while families review assignments, performance, and learning reports.
What you see: feedback and a continuing learning path.
Designed for continuity
Evidence and voices
“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.”
“Expert teachers. Engaging learning. Real results.”
Choose with clarity
| Decision factor | ACE Academy Advanced Math | Formula-first tutoring | Independent practice |
|---|---|---|---|
| Primary emphasis | Concepts, models, reasoning, and problem solving | Applying procedures and formulas | Individual repetition and review |
| Word-problem process | Visualize relationships before abstract notation | May begin directly with an operation or formula | Depends on the learner’s chosen strategy |
| Live support | Live, teacher-led classes in groups of 6–12 | Format varies by provider | No built-in live classroom |
| Progress support | Assignments, reports, assessments, and parent APP | Depends on the tutor or service | Learner or family monitors progress |
| Next pathway | Honors Math from Pre-Algebra through Calculus | Depends on curriculum continuity | Requires the family to plan progression |
The comparison describes the instructional structure documented for this program and general differences between the named learning formats. It is not a comparison with a specific competing company.
At a glance
Years of combined math education and talent-development experience cited for the research team
Of instructors reported as holding master’s or doctoral degrees
Average teaching experience cited for instructors
Teacher selection rate cited for competitive math faculty
Academic pathway
Advanced Math for G1–G5 can lead into Honors Math courses including Pre-Algebra, Algebra I, Geometry, Algebra II, Pre-Calculus, and Calculus. The Honors pathway is described as using AoPS materials for further logical thinking, modeling, and problem-solving practice.
Explore advanced student pathways →Common questions from families
Singapore Math bar model tutoring uses visual bars to represent quantities and the relationships between them. Students use the model to understand parts, wholes, comparisons, ratios, and unknown values before writing an equation. This approach is part of a broader concrete–pictorial–abstract progression. It is designed to support conceptual understanding rather than asking students to memorize a formula first. In ACE Academy’s Advanced Math pathway, the method is intended for G1–G5 students and is connected to logic, modeling, and problem-solving practice.
The program is designed for students in grades 1 through 5. It may suit learners who want stronger conceptual understanding instead of relying only on memorized formulas. It is also relevant for students who need visual support with multi-step word problems, ratios, fractions, percentages, and unit conversions. Families preparing a child for Honors Math or future math competition work may consider the pathway because the stated curriculum emphasizes logical thinking and problem solving. Placement or a free trial can help the family and teaching team identify an appropriate starting level.
The documented class length is 90 minutes. The described flow includes a five-minute math game, a 45-minute first core explanation, a five-minute energy break, a 30-minute second core explanation, and a five-minute summary. Instruction follows an explain–demonstrate–independent-practice sequence. ACE Academy states that 39% of class time is used for student active output. Families can also receive pre-class preparation, homework, explanation videos, assessments, and learning suggestions.
The related Pre-Algebra content includes arithmetic, number theory, equations and inequalities, introductory geometry, combinations and probability, statistics, fractions, decimals, percentages, ratios, and unit conversion. Students also work with rate, time, distance, real-world modeling, and application problems. Pre-Algebra A includes fraction applications, multi-part ratios, proportional relationships, unit conversions, work, relative speed, average speed, and AMC 8 foundational problem types. Pre-Algebra B includes percentages, angles, perimeter, area, right triangles, quadrilaterals, charts, data, counting principles, probability, and problem-solving strategies. The exact sequence depends on the course and placement information provided by the program.
ACE Academy offers live online classes and also operates learning centers in selected locations. The Singapore Math Advanced Math information describes small-group classes with approximately 6–12 students. The classes are taught in English by North American teachers with mathematics or related engineering backgrounds. Availability, scheduling, and learning-center options can vary, so families should confirm those details during the trial or enrollment process. The online format includes live instruction, classroom practice, assignments, and parent-facing progress information.
The supplied math pricing examples show 36 lessons at $999 and 72 lessons at $1,819. These figures are sample package pricing shown in the company information and should be confirmed before enrollment because packages and availability may change. ACE Academy also promotes free trial classes and placement evaluations to help match students with an appropriate level. A family can use the trial to understand the class format, teacher interaction, and expected learning path. For current package details, the safest next step is to contact the team or use the booking page.
Start with the right model
Book a free trial to explore Singapore Math-inspired bar model instruction for G1–G5 learners.