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Algebra II, American: syllabus

The lessons in book order, one card per unit. Open any lesson that has an episode if you have access; locked lessons are greyed out.

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Unit 1: Sequences and Functions

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  1. Introducing Geometric Sequences

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  2. Different Types of Sequences (arithmetic and geometric)

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  3. Sequences Are Functions

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  4. Representing Sequences (recursive definitions)

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  5. The nth Term

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  6. What's the Equation? (explicit formulas)

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  7. Situations and Sequence Types

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Unit 2: Polynomials and Rational Functions

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  1. Modeling with Polynomials (Let's Make a Box)

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  2. Introducing Polynomials

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  3. Combining Polynomials

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  4. Connecting Factors and Zeros

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  5. Different Forms of Polynomials

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  6. Using Factors and Zeros

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  7. End Behavior

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  8. Multiplicity

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  9. Finding Intersections

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  10. Polynomial Division

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  11. The Remainder Theorem

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  12. Minimizing Surface Area (rational models)

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  13. Graphs of Rational Functions

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  14. End Behavior of Rational Functions

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  15. Rational Equations

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  16. Solving Rational Equations

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  17. Polynomial Identities

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  18. Summing Up (sum of a geometric series)

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  19. Using the Sum (geometric series formula)

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Unit 3: Complex Numbers and Rational Exponents

17 lessonsno episodes yet
  1. Properties of Exponents

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  2. Square Roots and Cube Roots

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  3. Exponents That Are Unit Fractions

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  4. Positive Rational Exponents

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  5. Negative Rational Exponents

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  6. Squares and Square Roots (solving equations)

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  7. Inequivalent Equations (extraneous solutions)

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  8. Cubes and Cube Roots

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  9. Solving Radical Equations

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  10. A New Kind of Number

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  11. Introducing the Number i

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  12. Arithmetic with Complex Numbers

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  13. Multiplying Complex Numbers

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  14. Solving Quadratics

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  15. Completing the Square and Complex Solutions

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  16. The Quadratic Formula and Complex Solutions

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  17. Real and Non-Real Solutions

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Unit 4: Exponential Functions and Equations

15 lessonsno episodes yet
  1. Representations of Growth and Decay

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  2. Understanding Rational Inputs

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  3. Changes Over Rational Intervals

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  4. Writing Equations for Exponential Functions

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  5. Interpreting and Using Exponential Functions

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  6. Unknown Exponents

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  7. What Is a Logarithm?

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  8. Interpreting and Writing Logarithmic Equations

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  9. Evaluating Logarithmic Expressions

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  10. The Number e

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  11. Exponential Functions with Base e

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  12. Solving Exponential Equations

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  13. Using Graphs and Logarithms to Solve Problems

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  14. Logarithmic Functions

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  15. Applications of Logarithmic Functions

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Unit 5: Transformations of Functions

8 lessonsno episodes yet
  1. Moving Functions (translations)

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  2. Reflecting Functions

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  3. Some Functions Have Symmetry (even and odd functions)

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  4. Expressing Transformations of Functions Algebraically

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  5. Scaling the Outputs

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  6. Scaling the Inputs

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  7. Combining Functions

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  8. Making a Model for Data

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Unit 6: Trigonometric Functions

14 lessonsno episodes yet
  1. Moving in Circles

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  2. Revisiting Right Triangles

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  3. The Unit Circle

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  4. The Pythagorean Identity

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  5. Finding Unknown Coordinates on a Circle

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  6. Rising and Falling (periodic behavior)

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  7. Introduction to Trigonometric Functions

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  8. Beyond 2π: Extending the Domain of Trigonometric Functions

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  9. Tangent

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  10. Amplitude and Midline

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  11. Transforming Trigonometric Functions

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  12. Features of Trigonometric Graphs (period)

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  13. Comparing Transformations

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  14. Modeling Circular Motion

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Unit 7: Statistical Inferences

14 lessonsno episodes yet
  1. Being Skeptical (bias in data)

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  2. Study Types (surveys, observational studies, experiments)

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  3. Randomness in Groups (random assignment)

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  4. Describing Distributions

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  5. Normal Distributions

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  6. Areas in Histograms

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  7. Areas under a Normal Curve

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  8. Variability in Samples

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  9. Estimating Proportions from Samples

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  10. Reducing Margin of Error

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  11. Estimating a Population Mean

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  12. Experimenting (comparing treatment groups)

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  13. Using Normal Distributions for Experiment Analysis

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  14. Questioning Experimenting (evaluating conclusions)

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