Course Description
The program aims to equip students with algebraic thinking, proportional reasoning, and academic argumentation skills—preparing them for the challenging journey of high school mathematics, while also building the ability to approach real-world problems with systematic solutions.
Grade 7 is a pivotal stage where students move from simply working with numbers to manipulating expressions, variables, equations, and more complex datasets. They gain deeper exposure to concepts of ratios, probability, algebra, and geometry—not only to excel in mathematics, but also to begin thinking like scientists.
The program is designed in alignment with the Common Core State Standards (CCSS), emphasizing logical reasoning, data analysis, mathematical modeling, and the use of digital tools to explore and present knowledge.
Through this learning process, students not only answer “How do I solve this?” but also understand “Why does this method work?”, confidently articulating their reasoning as independent mathematics learners with a clear academic direction
Learning Content
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Ratios and Proportional Relationships
Work with problems involving ratios, percentages, unit rates, and value comparisons. Apply proportional reasoning in real-life contexts such as speed, discounts, taxes, and interest rates. -
The Number System
Perform operations fluently with integers, decimals, and fractions (including negative numbers). Understand the relationships among different number forms and apply them in practical calculations. -
Expressions and Equations
Analyze and simplify algebraic expressions; solve one-step and two-step equations and inequalities; model real-world relationships using equations with variables. -
Geometry
Calculate the area, perimeter, and volume of more complex shapes; apply the basic Pythagorean Theorem in practical contexts; work with proportional relationships in geometric figures. -
Statistics and Probability
Collect and analyze random data; calculate probabilities of simple and compound events; interpret graphs, tables, and statistical measures such as mean, median, mode, and range.
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.
Learning Methodology
As students enter Grade 7, they are expected to think in a structured way, present ideas strategically, and engage in evidence-based reasoning. The program is designed to strengthen independent, academic, and applied mathematical skills.
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Visual Learning
Extensive use of geometric models, number lines, charts, and drawing tools to visually represent numerical and algebraic relationships, supporting abstract thinking. -
Math Talk
Facilitated mathematical discussions where students present arguments, provide evidence, and respond to counterarguments—building clarity, coherence, and academic confidence. -
Game-based Practice
Sustain learning motivation through strategy games, speed challenges, logic puzzles, and interactive applications that develop quick mathematical thinking. -
Real-life Problems
Engage in practical math projects such as analyzing payroll data, calculating budgets, designing housing models, and applying algebraic expressions to solve everyday problems. -
Personalized Pacing
Offer differentiated exercises and flexible learning paths, enabling students to work at their own pace while meeting CCSS grade-level expectations. -
Structured Reasoning
Teach students to solve problems systematically—from defining assumptions and selecting strategies to executing solutions and verifying results—fostering coherent logical thinking. -
Multi-strategy Exploration
Encourage comparison of multiple solution methods for the same problem; analyze the efficiency of each approach and apply strategies flexibly in open-ended contexts. -
Digital Tools for Modeling
Incorporate platforms such as Desmos, GeoGebra, and Google Sheets to create data tables, graphs, and simulations of real-world scenarios, developing mathematical skills in a digital environment. -
Mathematical Writing
Train students to write mathematically in an academic format—presenting reasoning, evidence, and illustrations through precise language, symbols, and visuals—preparing them for academic competitions and mathematical essays.
Lessons:
