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Algebra 2

9 units · 53 topics · 1,254 lessons · Grade 10 or 11

Polynomial, radical, exponential, logarithmic, rational, and trigonometric functions, plus sequences, series, and statistics.

  1. 1Functions and Transformations
  2. 2Quadratic Functions and Complex Numbers
  3. 3Polynomial Functions
  4. 4Radical Functions and Inverses
  5. 5Exponential and Logarithmic Functions
  6. 6Rational Functions
  7. 7Sequences and Series
  8. 8Trigonometric Functions
  9. 9Probability and Statistics
1

Functions and Transformations

Parent functions, transformations, and linear systems.

  1. 1Parent FunctionsUp next31 lessons
  2. 2Transformations of Functions16 lessons
  3. 3Piecewise and Absolute Value Functions33 lessons
  4. 4Systems of Equations in Three Variables22 lessons
  5. 5Linear Programming44 lessons
2

Quadratic Functions and Complex Numbers

Forms of quadratics, solving them, and the complex numbers.

  1. 1Forms of Quadratic FunctionsCoverage growing
  2. 2Solving Quadratic Equations7 lessons
  3. 3Complex Numbers48 lessons
  4. 4Quadratics with Complex SolutionsCoverage growing
  5. 5Quadratic Inequalities31 lessons
  6. 6Modeling with Quadratic Functions22 lessons
3

Polynomial Functions

Graphs, division, zeros, and identities of polynomials.

  1. 1Graphs of Polynomial Functions25 lessons
  2. 2Adding, Subtracting, and Multiplying Polynomials40 lessons
  3. 3Dividing Polynomials43 lessons
  4. 4The Remainder and Factor Theorems46 lessons
  5. 5Factoring Polynomials20 lessons
  6. 6Finding Zeros of Polynomials7 lessons
  7. 7The Fundamental Theorem of Algebra35 lessons
  8. 8Polynomial Identities25 lessons
4

Radical Functions and Inverses

Rational exponents, radical equations, composition, and inverses.

  1. 1nth Roots and Rational Exponents36 lessons
  2. 2Simplifying Radical Expressions12 lessons
  3. 3Graphing Radical Functions31 lessons
  4. 4Solving Radical Equations8 lessons
  5. 5Function Operations and Composition24 lessons
  6. 6Inverse Functions22 lessons
5

Exponential and Logarithmic Functions

Growth, decay, logarithms, and solving exponential equations.

  1. 1Exponential Growth and Decay Functions13 lessons
  2. 2The Natural Base e11 lessons
  3. 3Logarithms and Logarithmic Functions28 lessons
  4. 4Properties of Logarithms25 lessons
  5. 5Solving Exponential and Logarithmic Equations17 lessons
  6. 6Modeling with Exponential and Logarithmic Functions31 lessons
6

Rational Functions

Inverse variation, graphs of rational functions, and rational equations.

  1. 1Inverse Variation17 lessons
  2. 2Graphing Rational Functions29 lessons
  3. 3Multiplying and Dividing Rational Expressions26 lessons
  4. 4Adding and Subtracting Rational Expressions10 lessons
  5. 5Solving Rational EquationsCoverage growing
7

Sequences and Series

Patterns, sums, and sigma notation.

  1. 1Defining and Using Sequences9 lessons
  2. 2Arithmetic Sequences and Series26 lessons
  3. 3Geometric Sequences and Series8 lessons
  4. 4Infinite Geometric Series31 lessons
8

Trigonometric Functions

The unit circle, radians, and graphs of periodic functions.

  1. 1Angles and Radian Measure51 lessons
  2. 2Right Triangle Trigonometry10 lessons
  3. 3Trigonometric Functions of Any Angle23 lessons
  4. 4The Unit Circle36 lessons
  5. 5Graphing Sine and Cosine46 lessons
  6. 6Graphing Other Trig Functions5 lessons
  7. 7Modeling Periodic Phenomena7 lessons
  8. 8The Pythagorean Identity24 lessons
9

Probability and Statistics

Probability, normal distributions, and drawing conclusions from data.

  1. 1Probability and Counting31 lessons
  2. 2The Normal Distribution38 lessons
  3. 3Populations, Samples, and Surveys35 lessons
  4. 4Margin of Error and Inference35 lessons
  5. 5Analyzing ExperimentsLessons from this unit