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Curriculum · Singapore Math

Advanced Program (AP)

A complete Singapore Math curriculum from early childhood through Grade 6. AP covers everything in school math, then goes beyond it in depth and in range, so students build strong foundations while working ahead of grade level.

MGA Advanced Program (AP) math class in Boston
Age Group: PreK–G6

Class Format

  • In-person
  • Once a week · 90 minutes total (including a 5-minute break)
  • Small group of 1–5 students

School Math and Beyond

Everything School Math Covers

AP is based on the Singapore Mathematics system, a globally recognized standard. In the 2023 TIMSS international study, Singapore’s students outperformed every other participating education system in math. The curriculum is aligned with U.S. Common Core (CCSS) standards and mainstream math textbooks, so students master the school syllabus for their grade.

Beyond School: Depth

Lessons go further into each topic than a typical school class. Students work on the higher-order thinking questions that appear on tests, non-routine word problems, and selected competition-style problems. They learn specific problem-solving strategies and practice critical thinking, so they can handle questions they have not seen before.

Beyond School: Range

AP also covers more ground, from early math through Grade 6, including number theory, geometry, algebra, and more. Some topics come earlier than in school: AP K teaches money, which the Common Core introduces in Grade 2, and AP 5 covers ratio, rate, and percentage, which the Common Core introduces in Grade 6. Students learn at least six months ahead of grade-level expectations.

Key Features

90-Minute Focused Lessons

Each class has time for a new concept, guided practice, and independent problem-solving, with a 5-minute break.

Small-Group Classroom Learning

With 1–5 students, the teacher follows each student's reasoning, corrects misunderstandings right away, and adjusts the pace. Students also learn from each other by comparing methods and explaining their thinking.

Structured Learning Materials

Well-designed textbooks and interactive teaching slides give every lesson a clear path from concept to practice.

Competition-Level Practice

Selected competition-style problems are part of AP lessons, so students get used to unfamiliar, multi-step questions. Students who enjoy them can continue in the Competition Program (CP).

Competition Program (CP) →

Core Mathematical Concepts

MGA Early Math counting activity showing 4 plus 3 equals 7

AP K Learning Focus

Age Group: PreK-K

Objectives

Children build number sense through objects, pictures, movement, and conversation. Each lesson moves from noticing and explaining to choosing a strategy and checking an answer, helping young learners become curious, independent problem solvers.

  • Counting Number Sense and Place Value to 50
  • Joining Separating and Comparing Quantities
  • Shape Position and Spatial Reasoning
  • Length Weight and Capacity Exploration
  • Coins Values and Simple Purchases
  • Repeating Patterns and Rule Discovery
  • Sorting Tallying and Picture Graphs
  • Story Problems with Drawings and Objects
  • Step by Step Logic and Early Algorithms

Our Teaching Approach

Every lesson develops both mathematical understanding and a repeatable way to reason. Students use MGA's seven-tool problem-solving toolkit and practice eight thinking habits. When they meet an unfamiliar question, they learn to represent it clearly, choose an efficient approach, test their result, and explain why it works.

MGA problem solving toolkit with seven original methods
MGA thinking habits diagram with eight reasoning habits

Classroom Highlights

Advanced Program (AP) classroom highlight
Advanced Program (AP) classroom highlight
Advanced Program (AP) classroom highlight
Advanced Program (AP) classroom highlight

Give Your Child a Head Start in Math

Book a trial class and see MGA's Advanced Program in action.