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Algebra 2 Syllabus

  1. The Basics
    • The order of operations
    • Evaluating expressions
    • Simplifying algebraic expressions
  2. Equations and Inequalities
    • Solving multi-step equations
    • Work word problems
    • Distance-rate-time word problems
    • Mixture word problems
    • Solving absolute value equations
    • Solving multi-step inequalities
    • Solving compound inequalities
    • Solving absolute value inequalities
  3. Linear Relations and Functions
    • Graphing linear equations
    • Writing linear equations
    • Graphing absolute value equations
    • Graphing linear inequalities
    • Systems of Equations and Inequalities
    • Graphing systems of two linear inequalities
    • Solving systems of two linear equations by graphing
    • Solving systems of two linear equations by elimination
    • Solving systems of two linear equations by substitution
    • Systems of two equations word problems
    • Points in three dimensions
    • Planes
    • Solving systems of three linear equations by elimination
    • Solving systems of three linear equations by substitution
  4. Matrices
    • Basic matrix operations
    • Matrix multiplication
    • Determinants
    • Matrix inverses
    • Cramer's Rule
    • Matrix equations
    • Geometric transformations with matrices
  5. Complex Numbers
    • Adding / subtracting / multiplying / absolute value of complex numbers
    • Graphing complex numbers
    • Rationalizing imaginary denominators
  6. Quadratic Functions and Inequalities
    • Graphing quadratic functions
    • Solving quadratic equations by graphing
    • Factoring quadratic trinomials
    • Factoring special case trinomials
    • Solving quadratic equations by taking square roots
    • Solving quadratic equations by factoring
    • Completing the square
    • Solving quadratic equations by completing the square
    • Solving quadratic equations using the Quadratic Formula
    • The discriminant
    • Graphing quadratic inequalities
  7. Polynomial Functions
    • Naming polynomials
    • Adding / subtracting / multiplying polynomials
    • The Binomial Theorem
    • Dividing polynomials
    • Factoring by grouping
    • Factoring sum/difference of cubes
    • Factoring quadratic form
    • Synthetic division and synthetic substitution
    • The Remainder Theorem and The Factor Theorem
    • Imaginary Root Theorem and Irrational Root Theorem
    • Polynomials, factors, and roots
    • Writing polynomial functions
    • The Rational Root Theorem
    • Descartes' Rule of Signs
    • The Fundamental Theorem of Algebra
    • Solving polynomial equations, all methods
    • End behavior of polynomial functions
    • Sketching the general shape of polynomial functions
    • Graphing polynomial functions, including minima/maxima
    • Solving polynomial functions by graphing
  8. General Functions
    • Evaluating functions
    • Function operations
    • Inverse functions
  9. Radical Functions and Rational Exponents
    • Simplifying radical expressions
    • Operations with radical expressions
    • Dividing radical expressions
    • Relating rational exponents and radical expressions
    • Evaluating rational exponent expressions
    • The laws of exponents
    • Solving radical equations
    • Solving rational exponent equations
    • Graphing radical functions
    • Domain and range of radical functions
  10. Conic Sections
    • Properties of parabolas
    • Writing equations of parabolas
    • Properties of circles
    • Writing equations of circles
    • Properties of ellipses
    • Writing equations of ellipses
    • Properties of hyperbolas
    • Writing equations of hyperbolas
    • General conic sections
    • Systems of quadratic relations
  11. Rational Expressions
    • Graphing simple rational expressions
    • Graphing general rational expressions
    • Simplifying rational expressions
    • Multiplying / dividing rational expressions
    • Adding / subtracting rational expressions
    • Complex fractions
    • Solving rational equations
  12. Exponential and Logarithmic Functions
    • Graphing exponential functions
    • Solving exponential equations not requiring logarithms
    • Rewriting logarithms
    • Evaluating logarithms
    • Logarithms and exponential functions as inverses
    • Properties of logarithms
    • Common logarithms
    • Natural logarithms
    • Solving exponential equations requiring logarithms
    • Solving logarithmic equations
    • Graphing logarithmic functions
  13. Sequences and Series
    • General sequences
    • Arithmetic sequences
    • Geometric sequences
    • Arithmetic and geometric mean
    • General series
    • Arithmetic series
    • Geometric series
    • Infinite geometric series
  14. Trigonometry
    • Angles and angle measure
    • Radians and degrees
    • Coterminal angles
    • Arc length and sector area
    • Right triangle trig.
    • Trig. functions of general angles
    • The Law of Sines
    • The Law of Cosines
    • Heron's Formula
    • Graphing trig. functions
    • Translations of trig. functions
    • Angle sum and angle difference identities
    • Half-angle and double-angle identities
    • Trig. equations, neither factoring nor identities required

Stay-Ahead™ Reading

  • Novice (6th Grade)
  • Intermediate (7th Grade)
  • Proficient (8th Grade)
  • Advanced (9th Grade)
  • Superior (10th Grade)

Stay-Ahead™ Writing

  • Novice (6th Grade)
  • Intermediate (7th Grade)
  • Proficient (8th Grade)
  • Advanced (9th Grade)
  • Superior (10th Grade)

Stay-Ahead™ Mathematics

  • Mathematics Core
  • Pre-Algebra
  • Algebra 1
  • Algebra 2
  • Geometry

Standardized Tests

  • SAT
  • PSAT
  • DukeTIP SAT
2011 Algebra II. SAT is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. ACT is a registered trademark of ACT, Inc. PSAT/NMSQT is a trademark jointly owned by the College Board and the National Merit Scholarship Corporation, which were not involved in the production of, and do not endorse, this product. None of the trademark holders are affiliated with Ramana Coaching Center or this website.
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