Library
Mathematics
The Mathematics course is a comprehensive program covering various mathematical concepts, from basic numbers and operations to advanced topics like calculus, trigonometry, and linear algebra. Upon completing the 100 lessons, learners will be able to apply mathematical principles to solve real-world problems, analyze data, and think critically. For example, they can calculate the area and volume of complex shapes, such as a rectangular prism, to determine the amount of material needed for a construction project. By mastering these mathematical concepts, learners will develop a strong foundation for pursuing careers in fields like science, engineering, and finance.
ミニ学習計画・100 レッスン
初級 ・レッスン 1〜25
- Numbers and Counting Basics
- Addition and Subtraction
- Understanding Place Value
- Introduction to Multiplication
- Introduction to Division
- Even and Odd Numbers
- Comparing Numbers
- Simple Word Problems
- Introduction to Fractions
- Basic Shapes and Geometry
- Measuring Length
- Telling Time Basics
- Introduction to Money
- Patterns and Sequences
- Introduction to Data and Graphs
- Understanding Zero and Negative Numbers
- Rounding Numbers
- Introduction to Decimals
- Basic Probability Concepts
- Using a Number Line
- Introduction to Angles
- Symmetry and Reflections
- Perimeter of Simple Shapes
- Area of Rectangles
- Volume of Cubes and Boxes
中級 ・レッスン 26〜50
- Multiplication and Division Facts
- Advanced Fractions
- Equivalent Fractions
- Adding and Subtracting Fractions
- Multiplying Fractions
- Dividing Fractions
- Decimals and Place Value
- Adding and Subtracting Decimals
- Multiplying and Dividing Decimals
- Introduction to Ratios
- Percentages Basics
- Introduction to Algebraic Expressions
- Solving Simple Equations
- Properties of Numbers
- Coordinate Plane Basics
- Plotting Points
- Introduction to Integers
- Operations with Integers
- Introduction to Probability
- Mean, Median, Mode
- Introduction to Angles Measurement
- Triangles and Their Properties
- Quadrilaterals and Polygons
- Perimeter and Area of Complex Shapes
- Surface Area and Volume
上級 ・レッスン 51〜75
- Advanced Algebraic Expressions
- Solving Multi-step Equations
- Inequalities and Graphs
- Functions and Relations
- Linear Functions
- Systems of Equations
- Polynomials Basics
- Factoring Polynomials
- Quadratic Equations Introduction
- Graphing Quadratic Functions
- Radicals and Roots
- Exponents and Laws
- Scientific Notation
- Rational Expressions
- Complex Numbers Basics
- Sequences and Series
- Arithmetic Sequences
- Geometric Sequences
- Probability and Combinatorics
- Introduction to Trigonometry
- Trigonometric Ratios
- Circle Theorems
- Coordinate Geometry
- Vectors Basics
- Matrices Introduction
エキスパート （already in the field）・レッスン 76〜100
- Advanced Trigonometry
- Trigonometric Identities
- Conic Sections
- Advanced Functions
- Logarithmic Functions
- Exponential Functions
- Limits and Continuity
- Introduction to Calculus
- Derivatives Basics
- Applications of Derivatives
- Integrals Basics
- Applications of Integrals
- Differential Equations Introduction
- Sequences and Series Advanced
- Probability Distributions
- Statistics and Data Analysis
- Complex Numbers Advanced
- Linear Algebra Concepts
- Vector Spaces
- Eigenvalues and Eigenvectors
- Multivariable Calculus Basics
- Partial Derivatives
- Multiple Integrals
- Advanced Matrix Theory
- Mathematical Proof Techniques
Related subjects
- Whole Numbers and Place Value
- Basic Addition and Subtraction Facts
- Introduction to Fractions and Decimals
- Basic Algebraic Expressions and Equations
- Geometry Fundamentals: Points, Lines, and Planes
- Ratios and Proportional Relationships
- Percentages and Basic Interest Calculations
- Graphing Linear Equations and Functions
- Systems of Linear Equations and Inequalities
- Quadratic Equations and Functions
- Exponents, Exponential Functions, and Logarithms
- Trigonometry Fundamentals: Angles and Triangles