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Algebra 2

  1. Beginning Algebra
    1. Order of operations
    2. Simplifying algebraic expressions
  2. Equations and Inequalities
    1. Multi-step equations
    2. Work word problems
    3. Distance, rate, time word problems
    4. Mixture word problems
    5. Absolute value equations
    6. Multi-step inequalities
    7. Compound inequalities
    8. Absolute value inequalities
  3. Relations and introduction to Functions
    1. Discrete relations
    2. Continuous relations
    3. Evaluating and graphing functions
  4. Linear Relations and Functions
    1. Graphing linear equations
    2. Writing linear equations
    3. Graphing absolute value equations
    4. Graphing linear inequalities
    5. Direct and Inverse Variation
  5. Systems of Equations and Inequalities
    1. Graphing systems of linear inequalities
    2. Solving systems by graphing (2 variables)
    3. Solving systems by elimination (2 variables)
    4. Solving systems by substitution (2 variables)
    5. Systems of equations word problems (2 variables)
    6. Points in three dimensions
    7. Planes
    8. Solving systems with three variables
  6. Matrices
    1. Operations
    2. Determinants
    3. Inverses
    4. Cramer’s Rule
    5. Equations
    6. Geometric transformations
  7. Complex Numbers
    1. Operations
    2. Graphing
    3. Absolute value
    4. Rationalizing denominators
  8. Quadratic Functions and Inequalities
    1. Graphing quadratic functions
    2. Graphing quadratic inequalities
    3. Factoring quadratic expressions
    4. Factoring special case quadratic expresions
    5. Solving equations by taking square roots
    6. Solving equations by factoring
    7. Completing the square
    8. Solving equations by completing the square
    9. Solving equations with the Quadratic Formula
    10. The discriminant
  9. Polynomial Functions
    • Naming
    • Adding and subtracting
    • Multiplying
    • Multiplying special cases
    • The Binomial Theorem
    • Dividing
    • Factoring by grouping
    • Factoring a sum/difference of cubes
    • Factoring quadratic form
    • Factoring, all techniques
    • The Remaninder Theorem
    • Writing functions
    • Conjugate roots and factoring
    • Conjugate roots & writing functions
    • Descartes’ Rule of Signs
    • Rational Zero/Root Theorem
    • Fundamental Theorem of Algebra
    • Solving polynomial equations
    • End behavior and general graph shape
    • Graphing
  10. General Functions
    1. Evaluating
    2. Operations
    3. Inverses
  11. Radical Functions and Rational Exponents
    1. Simplifying radicals
    2. Adding and subtracting radical expressions
    3. Multiplying radical expressions
    4. Dividing radical expressions
    5. Connecting radical expressions and rational exponents
    6. Evaluating rational exponent expressions
    7. The properties of exponents
    8. Radical equations
    9. Rational exponent equations
    10. Graphing radical equations
    11. Domain and range of radical functions
  12. Conic Sections
    1. Parabolas, graphing & properties
    2. Parabolas, writing equations
    3. Circles, graphing & properties
    4. Circles, writing equations
    5. Ellipses, graphing & properites
    6. Ellipses, writing equations
    7. Hyperbolas, graphing & properties
    8. Hyperbolas, writing equations
    9. Classifying
    10. Systems of quadratic equations
  13. Rational Expressions
    1. Graphing
    2. Simplifying
    3. Multiplying and dividing
    4. Adding and subtracting
    5. Complex fractions
    6. Equations
  14. Exponential and Logarithmic Expressions
    1. Graphing exponential functions
    2. Exponential equations not requiring logarithms
    3. Exponents and logarithms
    4. Evaluating logarithms
    5. Logarithms and exponents as inverses
    6. Properties of logarithms
    7. Writing logs in terms of others
    8. Expnential equations requiring logarithms
    9. Inverses of
    10. Logarithmic equations, simple
    11. Logarithmic equations, hard
    12. Graphing logarithmic functions
    13. Discrete exponential growth and decay word problems
    14. Continuous exponential growth and decay word problems
  15. Sequences and Series
    1. General sequences
    2. Arithmetic sequences
    3. Geometric sequences
    4. Arithmetic and geometric mean
    5. General series
    6. Arithmetic series
    7. Geometric series
  16. Trigonometry
    1. Angles and angle measure
    2. Radians and degrees
    3. Degrees and degrees-minutes-seconds
    4. Coterminal angles
    5. Arc length and sector area
    6. Right triangle trig: Finding ratios
    7. Right trinagle trig: Finding angle measures
    8. Right triangle trig: Finding angles and sides
    9. Trig functions of any angle
    10. The Law of Sines
    11. The Law of Cosines
    12. Area and Laws of Sines and Cosines
    13. Graphing trig functions
    14. Angle sum/difference identities
    15. Double-angle/half-angle identities
    16. Equations
  17. Probability and Statistics
    1. Sample spaces and the Fundamental Counting Principle
    2. Probability of independent and dependent events, word problems
    3. Probability of independent and dependent events
    4. Probability of mutually exclusive events, word problems
    5. Probability of mutually exclusive events
    6. Permutations
    7. Combinations
    8. Permutations vs. combinations
    9. Probability with permutations and combinations

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