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Algebra 2

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Algebra 2

Foundations

  • Order of Operations: Review the order of operations (PEMDAS).
  • Linear Equations: Solve linear equations and write them in different forms.
  • Graphing Linear Equations: Graph linear equations.
  • Absolute Value Equations and Inequalities: Solve absolute value equations and inequalities.

Functions Families Part 1

  • Graphing Functions: Graph absolute value and quadratic functions.
  • Characteristics of Functions: Analyze the characteristics of linear, absolute value, and quadratic functions.

Factoring and Quadratics

  • Factoring: Factor polynomials using different techniques.
  • Solving Quadratics: Solve quadratic equations by factoring, graphing, using the quadratic formula, and completing the square.
  • Complex Numbers: Work with complex numbers.

Polynomial Functions

  • Polynomials: Understand the basics of polynomials.
  • Synthetic Division and Zeros: Find zeros of polynomial functions using synthetic division.
  • Rational Roots: Find rational roots of polynomial functions.

Exponential and Logarithmic Functions

  • Parent Functions and Transformations: Explore the parent functions and transformations of exponential and logarithmic functions.
  • Applications: Apply exponential functions to real-world problems.

Functions Families Part 2

  • Characteristics of Functions: Analyze the characteristics of polynomial, exponential, and logarithmic functions.
  • Composite and Inverse Functions: Understand composite and inverse functions.

Rational Functions

  • Graphing Rational Functions: Graph rational functions and analyze their characteristics.
  • Operations with Rational Expressions: Perform operations on rational expressions.
  • Solving Rational Equations: Solve rational equations.

Trigonometry

  • Right Triangle Trigonometry: Explore the basics of right triangle trigonometry.
  • Special Right Triangles: Work with special right triangles.
  • Trigonometry on the Unit Circle: Understand radian measure, the unit circle, and trigonometric functions on the unit circle.
  • Law of Sines and Cosines: Apply the Law of Sines and Law of Cosines.

Extended Topics (if time permits)

  • Sequences and Series: Explore arithmetic and geometric sequences and series.
  • Radicals: Work with radicals and solve radical equations.
  • Statistics: Learn about permutations, combinations, and normal distribution.
  • Variation: Understand direct, inverse, and joint variation.
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