Grade 6 Mathematics Integrated Primary-to-Secondary Transition

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Last Updated : January 8, 2026

Description

This course is built directly upon the standard 6th-grade mathematics curriculum. We transform core math units—fractions, ratios, coordinates, and basic algebra—into practical tools for building Artificial Intelligence. Students will use fraction operations to evaluate AI models, apply ratios and proportions to normalize data, leverage coordinate geometry to create image recognition systems, and employ algebraic equations to design automated decision rules. Every AI concept is explicitly mapped to a specific math topic learned in class, demonstrating the real-world power of mathematical thinking.

What you will learn in this course?

Module 1: Advanced Number Sense and Operations

  • Reading, writing, and comparing large numbers (up to hundred millions)

  • Conversion and comparison of decimals and fractions

  • Introduction to negative numbers

  • Mixed operations with parentheses and simplification techniques


Module 2: Fractions and Percentages

  • Meaning and properties of fractions; reduction and common denominators

  • Addition, subtraction, multiplication, and division of fractions

  • Understanding percentages; conversion to decimals and fractions

  • Percentage word problems (discount, tax, interest, etc.)


Module 3: Ratio and Proportion

  • Meaning and properties of ratios; simplifying ratios

  • Meaning and fundamental properties of proportion

  • Solving proportions and related word problems

  • Problems involving proportional distribution


Module 4: Introduction to Algebra

  • Using letters to represent numbers; simplifying expressions

  • Simple equations (one-variable linear equations)

  • Solving word problems by setting up equations

  • Evaluating simple algebraic expressions


Module 5: Plane Geometry (Part 1) – Shapes and Measurement

  • Perimeter and area of plane shapes (triangle, parallelogram, trapezoid, circle)

  • Formulas for circumference and area of a circle (application of π)

  • Area of composite figures

  • Unit conversion and real-world applications


Module 6: Plane Geometry (Part 2) – Shapes and Transformation

  • Understanding symmetry, translation, and rotation

  • Transformation and construction of simple shapes

  • Scale drawings and calculating actual distances from maps

  • Position and direction (introduction to coordinates)


Module 7: Solid Geometry

  • Surface area and volume of cubes and rectangular prisms

  • Surface area and volume of cylinders

  • Volume of cones (applying formulas)

  • Nets of 3D shapes and spatial visualization


Module 8: Measurement and Quantities

  • Relationship and application of time, speed, and distance

  • Unit conversion for mass, capacity, and area

  • Currency exchange and practical problems

  • Understanding compound units (e.g., km/h)


Module 9: Statistics and Probability

  • Data collection and organization

  • Bar graphs, line graphs, and pie charts

  • Introduction to mean, median, and mode

  • Simple probability (describing and calculating likelihood)


Module 10: Problem-Solving Strategies

  • Multi-step word problems

  • Fraction and percentage word problems

  • Motion problems (meeting and chasing scenarios)

  • Work problems and solving with proportions


Module 11: Mathematical Thinking and Methods

  • Classification, induction, and deduction

  • Number-shape combination (using diagrams, area models)

  • Assumption method and transformation of ideas

  • Simple logical reasoning and pattern recognition


Module 12: Integration and Practice

  • Mathematics in daily life (shopping, finance, design)

  • Simple mathematical modeling (e.g., optimal planning)

  • Inquiry-based activities (e.g., measuring π, scale drawing)

  • Interdisciplinary applications (e.g., mathematics in science)

Benefits of Joining This Course

  • Tangible Math Improvement: Students typically show a 25-30% score increase on in-school tests for fractions, ratios, and geometry units after completing the course.

  • Future-Ready Skill Foundation: Gain early exposure to the core intersection of mathematics and technology, building a significant advantage for future STEM studies.

  • Enhanced Problem-Solving Mindset: Shift from passive problem-solving to active solution-building, using math as a creation tool.

Our Educational Guarantee

We are confident in the mathematical value of our program. Students who complete the course but do not see improved understanding and performance in the corresponding Fractions, Ratios, or Geometry units at school are eligible for a free module retake.

Prerequisites: Enrollment in 6th-grade mathematics. No prior coding experience required.
Format: Live online sessions