Course Description
The program aims to help students master the core mathematical foundations of middle school, enabling them to confidently transition to high school with a solid grasp of algebraic thinking, strong data analysis skills, and the ability to solve problems in an academic, systematic manner.
Grade 8 is a pivotal year before students enter high school mathematics, which covers major topics such as algebra, calculus, and solid geometry. It is also the stage to consolidate and expand key concepts such as systems of equations, linear functions, the Pythagorean theorem, exponents, quadratic expressions, and inferential statistics.
The program is built upon the Common Core State Standards (CCSS), focusing on developing academic mathematical thinking, modeling skills, and reasoning presentation—while also training students to use digital tools as an essential part of modern mathematics learning.
Learning Content
The Grade 8 Math program is divided into five main topics:
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The Number System
Working with rational and irrational numbers; understanding square roots and negative exponents; representing real numbers on the number line; applying these concepts to problems involving distance and measurement quantities.
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Expressions and Equations
Manipulating expressions with exponents and roots; solving first-degree equations with one or two variables; setting up and solving systems of equations; applying equations to real-world problems with given conditions.
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Functions
Understanding the concept of a function, especially linear functions; representing functions through tables, graphs, and equations; distinguishing between linear and nonlinear functions using real-life contexts.
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Geometry
Applying the Pythagorean theorem; working with transformations (translation, reflection, rotation, dilation); calculating volume and surface area of three-dimensional shapes; working with the coordinate plane in basic analytic geometry.
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Statistics and Probability
Analyzing data using frequency charts and two-way tables; calculating mean, deviation, and range; identifying linear relationships through scatter plots and evaluating the degree of correlation.
Learning Methodology
At this level, students need to be prepared both in terms of academic thinking skills and standardized test-taking abilities. We focus on developing students through reasoning – modeling – critical thinking – and clear presentation, supported by digital technology and tiered exercises aligned with high school readiness.
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Visual Learning
Enhance the use of function graphs, coordinate systems, spatial models, and real-world data to help students grasp complex concepts in an intuitive, accessible way.
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Math Talk
Provide opportunities for students to practice expressing mathematical thinking clearly, using academic language when explaining their process or engaging in small-group discussions.
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Game-based Practice
Incorporate logic games, advanced math puzzles, and strategic challenges to spark passion for learning and strengthen independent practice skills.
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Real-life Problems
Design highly practical problems such as cost analysis, financial planning, and statistical risk assessment to model the connections between arithmetic and geometry in real life.
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Personalized Pacing
Customize learning pathways with tiered exercises—basic, advanced, and extended—ensuring that all students have the opportunity for sustainable growth.
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Structured Reasoning
Train students in structured reasoning: stating assumptions, choosing strategies, outlining solution steps, and verifying results—preparing them for standardized exams and academic research.
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Multi-strategy Exploration
Encourage students to compare multiple approaches to a single problem, then select the optimal strategy and justify their decision.
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Digital Tools for Modeling
Develop proficiency in using technology platforms to create expressions, graphs, and data tables—familiarizing students with modern, STEM-oriented math learning methods.
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Mathematical Writing
Practice academic-style mathematical writing: expressing ideas clearly and accurately with supporting evidence—helping students excel in mathematical essay questions and international standardized tests.
Required Materials
This course is delivered entirely online and does not require or rely on any specific printed textbook. Students will need access to the following resources to support both online and offline learning activities:
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A scanner, smartphone camera, or similar device to digitize handwritten work or hand-drawn illustrations.
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Headphones or speakers, along with a microphone for recording and participation in interactive tasks.
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A printer for selected assignments and practice activities.
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A folder, binder, or notebook to organize offline tasks and project work.
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Basic stationery and learning materials for completing offline activities.
Lessons:
