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Grade 10

Mathematics

Exponents and Logarithms

The mathematical power behind modern technology and exponential growth.

  • Exponent Concepts

  • Exponent Properties

  • Property Proofs

  • Function Exploration

  • Function Definition

  • Exponential Growth

  • Exponential Decay

  • Radical Forms

  • Rationalizing Radicals

  • Logarithm Definition

  • Logarithm Properties

Sequence and Series

Amazing patterns connecting numbers in fascinating sequences.

  • Sequence Concepts

  • Arithmetic Sequence

  • Geometric Sequence

  • Difference between Arithmetic and Geometric Sequence

  • Series Concept

  • Arithmetic Series

  • Geometric Series

  • Infinite Geometric Series

  • Difference between Convergence and Divergence

  • Difference between Arithmetic and Geometric Series

  • Difference between Sequence and Series

Vectors and Operations

Core concepts of 3D games, physics, and satellite navigation.

  • Vector Concept

  • Vector Types

  • Vectors and Coordinate System

  • Two-Dimensional Vector

  • Vector Components

  • Equivalent Vectors

  • Three-Dimensional Vector

  • Column and Row Vectors

  • Unit Vector from a Vector

  • Position Vector

  • Opposite Vector

  • Vector Addition

  • Vector Subtraction

  • Zero Vector

  • Scalar Vector Multiplication

Trigonometry

The language of triangles for building structures and exploring space.

  • Trigonometry Concept

  • Right Triangle Side Naming

  • Trigonometric Comparison: Tan θ

  • Applications of Tan θ Trigonometric Comparison

  • Trigonometric Comparison: Sin θ and Cos θ

  • The Three Primary Trigonometric Comparisons

  • Special Angles in Trigonometric Comparisons

Systems of Linear Equations and Inequalities

The key to optimizing business and solving real-world problems.

  • Linear Equation Systems

  • Linear Inequality Systems

Quadratic Functions

Parabolic curves explaining projectile motion and bridge design.

  • Quadratic Equations

  • Quadratic Equation Factorization

  • Completing the Square

  • Quadratic Formula

  • Types of Quadratic Equation Roots

  • Imaginary or Non-Real Roots

  • Characteristics of Quadratic Functions

  • Constructing Quadratic Functions

  • Determining Maximum Area

  • Determining Minimum Area

Statistics

The art of data analysis for real-world decision making.

  • Histogram

  • Relative Frequency

  • Mode and Median

  • Mean (Average)

  • Applications of Measures of Central Tendency

  • Mean for Grouped Data

  • Median and Modal Class for Grouped Data

  • Quartiles for Ungrouped Data

  • Quartiles for Grouped Data

  • Percentiles for Grouped Data

  • Interquartile Range

  • Variance and Standard Deviation for Ungrouped Data

  • Variance and Standard Deviation for Grouped Data

Probability

Mathematics of uncertainty behind AI, weather forecasting, and game strategy.

  • Probability Distribution

  • Addition Rule

  • Mutually Exclusive Events A and B

  • Non-Mutually Exclusive Events A and B

References

Source codeVideosCommunity
  • MathematicsGrade 10
Chapter
  • Exponents and Logarithms
  • Sequence and Series
  • Vectors and Operations
  • Trigonometry
  • Systems of Linear Equations and Inequalities
  • Quadratic Functions
  • Statistics
  • Probability
  • Report