
Course Description
We aim to help students not only master calculation techniques but also understand the essence of mathematics and the reasoning behind each step, thereby developing logical thinking, the ability to explain their reasoning, and confidence in their own learning abilities.
Grade 4 is a pivotal stage where mathematical knowledge begins to transition from the “familiar” to the “more complex.” Students not only work with large numbers but also learn to handle fractions, decimals, unit conversions, data analysis, and geometric properties.
At this level, students need more than just “remembering formulas”—they must understand why a formula exists and how to apply it in various contexts. This is also the ideal time to practice reasoning, interpretation, and critical thinking in problem-solving.
The program is designed according to the Common Core State Standards (CCSS), delivering a deep, coherent, and personalized math learning experience, integrating a variety of activities from online study to real-world practice. Students are encouraged to take mathematics beyond the textbook—seeing it as a part of life, not just a subject in school.
Learning Content
The Grade 4 Math curriculum is divided into 5 main topics:
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Numbers and Operations in Base Ten
Work with numbers up to the millions; read, write, and analyze place value; round and estimate large numbers; flexibly apply the decimal place value system. -
Operations and Algebraic Thinking
Master multi-digit multiplication and division; solve multi-step word problems; become familiar with expressions containing variables and relationships between operations. -
Fractions and Decimals
Compare, find common denominators, simplify, and add/subtract fractions; understand the relationship between fractions and decimals; begin working with simple decimals (0.1, 0.01). -
Measurement and Data
Convert between standard units of length, mass, and volume; calculate area and perimeter; use charts and tables to collect, analyze, and interpret data. - Geometry
Classify plane figures by their properties; measure and draw angles using a protractor; identify and analyze shapes with lines of symmetry; explore quadrilaterals, polygons, and spatial geometry features.
Learning Methodology
Mathematics at this level requires students not only to “get the right answer” but also to “understand deeply” and “articulate” their thinking process. Therefore, the program is designed to build mathematical confidence through experience, reasoning, and real-life application.
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Visual Learning – Use images, models, and diagrams to illustrate concepts, helping students grasp the essence of operations and number structures.
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Math Talk – Encourage students to explain their reasoning, discuss, and critique each other’s strategies, fostering mathematical reasoning and reflexes.
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Game-based Practice – Integrate educational games and logic challenges to develop skills and increase learning motivation.
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Real-life Problems – Design math problems connected to everyday situations: sharing portions, measuring, shopping, building models—helping students see math as practical and relevant.
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Personalized Pacing – Allow students to learn at their own pace with multiple challenge levels and content tailored to individual abilities.