Algebra II

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About Course

Algebra II expands your algebra toolkit and prepares you for advanced mathematics, including Pre-Calculus and Calculus. You’ll move beyond linear equations into deeper function analysis and abstract reasoning.


Chapter 1: Linear Equations and Inequalities

  • Variable expressions
  • Linear Equations
  • Linear Inequalities

Chapter 2: Functions

  • What Are Functions?
  • Composition of Functions
  • Inverse Functions
  • Arithmetic and Geometric Progressions
  • Types of Functions
  • Transformation of Functions
  • Graphing Functions

Chapter 3: Relations

  • Equivalence Relation
  • Reflexive Relation
  • Symmetric Relations
  • Inverse Relation
  • Types Of Relations

Chapter 4: Cartesian and Coordinate System

  • Graphing linear equations
  • Cartesian Coordinate System

Chapter 5: Sequence

  • Geometric Sequence
  • Arithmetic Sequence
  • Arithmetic Sequence Formula
  • Geometric Sequence Formulas

Chapter 6: Solving Matrices

  • Matrices
  • Matrix Operations
  • Transformation Matrix
  • Properties of Matrices
  • Determinant of Matrix

Chapter 7: Vector

  • Vector Algebra
  • Scalar Product
  • Product of Vectors
  • Dot Product
  • Cross Product

Chapter 8: Polynomials

  • Polynomials
  • Types of Polynomials
  • Polynomial Function
  • Polynomial Equations

Chapter 9: Factoring and Solving by Factorization

  • Factorization of Algebraic Expressions
  • Factorization of Quadratic Equations
  • Factoring Polynomials

Chapter 10: Exponents And Exponential Functions

  • Exponents
  • Exponential Functions
  • Irrational Exponents
  • Operations on Exponential Terms

Chapter 11: Radical Expressions and Equations

  • Surds
  • Square and Square Root
  • Rationalization
  • Rationalize the Denominator

Chapter 12: Solving Quadratic Equations

  • Quadratic Equations
  • Roots of Quadratic Equation
  • Graphing Quadratic Functions
  • Complex Numbers

Chapter 13: Data Analysis And Probability

  • Data Handling
  • Statistics
  • Categorical Data
  • Permutation and Combination

Chapter 14: Sets

  • Sets
  • Types of Sets
  • Set Operations
  • Finite and Infinite Sets

Chapter 15: Logarithms

  • Introduction to Logarithms
  • Properties of Logarithms
  • Logarithmic Functions

Chapter 16: Conic Sections

  • Circles
  • Ellipse
  • Parabola
  • Hyperbola

Chapter 17: Trigonometry

  • Trigonometric Ratios
  • Trigonometric Functions
  • Trigonometric Chart
  • Trigonometric Identities

Target Audience

  • 10th–12th grade students

  • Students preparing for Pre-Calculus or SAT/ACT

  • Students pursuing STEM pathways

  • Anyone strengthening advanced algebra skills

 

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