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Algebra II Math Mission

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The Algebra II Math Mission is a set of skills on Khan Academy. This mission consists of many topics that build off of the Algebra I Math Mission such as systems of equations, inequalities, functions, exponential and logarithmic functions, logarithms, and many more topics.
Algebra II

The Algebra II Math Mission Dashboard

Mission specifics

Mission Foundations

  1. Evaluating expressions with variables word problems
  2. Equations with parentheses
  3. Multiplying binomials 2
  4. Pythagorean theorem
  5. Equivalent expressions with distribution and combining like terms
  6. Adding and subtracting negative fractions
  7. Manipulating fractional exponents
  8. Graphing inequalities and checking solutions
  9. Slope-intercept equation from two solutions
  10. Linear models word problems
  11. Linear equation word problems
  12. Identifying terms, factors, and coefficients in expressions
  13. Approximating square roots
  14. Graphing parabolas in all forms
  15. Solving equations in terms of a variable
  16. Fractional exponents 2
  17. Simplifying rational expressions with exponent properties
  18. Adding and subtracting radicals

Manipulating functions

  1. Evaluate composite functions from formulas
  2. Evaluate composite functions from graphs and tables
  3. Compose functions
  4. Shift functions
  5. Summary: Transforming functions
  6. Model situations by combining functions using arithmetic operations
  7. Model situations by composing functions
  8. Find inverse values of functions
  9. Find inverses of polynomial, radical, and rational functions
  10. Verify that two functions are inverses
  11. Analyze invertible and non-invertible functions

Introduction to complex numbers

  1. Simplify powers of the imaginary unit
  2. The imaginary unit and complex numbers
  3. Plot complex numbers on the complex plane
  4. Adding and subtracting complex numbers
  5. Multiplying complex numbers
  6. Dividing complex numbers
  7. Find the absolute value of complex numbers
  8. Simplify square roots of negative numbers

Arithmetic with polynomials

  1. Add and subtract polynomials with one variable
  2. Add and subtract polynomials with two variables
  3. Multiply binomials by polynomials
  4. Find special products of binomials (advanced)
  5. Divide polynomials by monomials with remainders
  6. Divide polynomials by linear binomials with remainders
  7. Divide polynomials by polynomials with remainders
  8. Use the Polynomial Remainder Theorem to analyze factors of polynomials

Systems of equations and inequalities

  1. Solving systems of equations graphically
  2. Solving systems of linear equations with elimination 1
  3. Solving systems of linear equations with elimination 2
  4. Solving systems of linear equations with substitution
  5. Solving systems of two linear equations
  6. Analyze solutions to linear systems graphically
  7. Completing solutions of systems of inequalities
  8. Graphing systems of inequalities and checking solutions
  9. Two-variable linear inequalities word problems
  10. Intersecting functions
  11. Systems of nonlinear equations

Functions and their graphs

  1. Evaluating functions
  2. Evaluating function expressions
  3. Modeling with combined functions
  4. Domain and range from graph
  5. Domain of a function
  6. Range of a function
  7. Recognizing functions from tables
  8. Recognizing functions from graphs
  9. Evaluating composite functions
  10. Modeling with composite functions
  11. Inverses of linear functions
  12. Algebraically finding inverses
  13. Domain and range with inverse functions
  14. Understanding inverses of functions
  15. Graphs of absolute value functions
  16. Graphs of piecewise nonlinear functions
  17. Shifting and reflecting functions
  18. Graphs of square root functions
  19. Positive and negative intervals
  20. Determine if a function is even or odd from its graph
  21. Recognizing features of functions
  22. Interpreting graphs word problems
  23. Comparing features of functions
  24. Understanding linear and exponential models
  25. New operator definitions 1
  26. New operator definitions 2

Polynomial and rational functions

  1. Factoring quadratics 1
  2. Solving quadratics by factoring
  3. Factoring quadratics 2
  4. Factoring differences of squares
  5. Solve factorable quadratic equations (leading coefficient is other than 1)
  6. Factoring polynomials by grouping
  7. Solving quadratics by taking the square root
  8. Solving quadratics by completing the square 1
  9. Solving quadratics by completing the square 2
  10. Solve quadratic equations using the quadratic formula
  11. Quadratic formula with complex solutions
  12. Solutions to quadratic equations
  13. Adding and subtracting polynomials
  14. Multiplying polynomials
  15. Equivalent forms of polynomial expressions
  16. Polynomial identities
  17. Dividing polynomials with remainders
  18. Remainder theorem of polynomials
  19. Using zeros to graph polynomials
  20. Graphs of polynomials
  21. Binomial theorem
  22. Partial fraction expansion
  23. Advanced structure in expressions
  24. The fundamental theorem of algebra

Rational expressions, equations, and functions

  1. Dividing polynomials by binomials 1
  2. Dividing polynomials by binomials 2
  3. Simplifying rational expressions 2
  4. Dividing polynomials by binomials 3
  5. Simplifying rational expressions 3
  6. Simplifying rational expressions 4
  7. Adding and subtracting rational expressions 1
  8. Adding and subtracting rational expressions 2
  9. Adding and subtracting rational expressions 3
  10. Adding and subtracting rational expressions 4
  11. Adding and subtracting rational expressions 5
  12. Adding and subtracting rational expressions 6
  13. Adding and subtracting rational expressions 7
  14. Graphs of rational functions
  15. Partial fraction expansion
  16. Solving rational equations 1
  17. Solving rational equations 2
  18. Extraneous solutions to rational equations
  19. Multiplying and dividing rational expressions 1
  20. Multiplying and dividing rational expressions 2
  21. Multiplying and dividing rational expressions 3
  22. Multiplying and dividing rational expressions 4
  23. Multiplying and dividing rational expressions 5
  24. Simplify rational expressions by canceling monomial factors

Exponential and logarithmic functions

  1. Understanding linear and exponential models
  2. Equivalent forms of exponential expressions
  3. Comparing growth rates of exponentials and polynomials
  4. Constructing linear and exponential functions
  5. Rewriting and interpreting exponential functions
  6. Modeling with exponential functions
  7. Using logarithms to solve exponential equations
  8. Graphs of exponentials and logarithms
  9. Solve exponential equations using logarithms (base-10 and base-e)
  10. Evaluating logarithms (basic)
  11. Evaluating logarithms (advanced)
  12. Understanding logarithms as inverse exponentials
  13. Operations with logarithms

Introduction to conic sections

  1. Pythagorean theorem and the equation of a circle
  2. Equation of a circle in factored form
  3. Graphing circles
  4. Equation of a circle in non-factored form
  5. Graphing circles 2
  6. Equation of an ellipse
  7. Exploring the foci of an ellipse
  8. Parabola intuition 1
  9. Parabola intuition 2
  10. Parabola intuition 3
  11. Asymptotes of a hyperbola

Polynomial expressions, equations, and functions

  1. Find the zeros of polynomials
  2. Determine the end behavior of polynomials
  3. Determine if a polynomial function is even or odd from its formula

Matrices

  1. Matrix dimensions
  2. Representing relationships with matrices
  3. Scalar matrix multiplication
  4. Matrix addition and subtraction
  5. Matrix transpose
  6. Multiplying a matrix by a matrix
  7. Defined and undefined matrix operations

Radical equations and functions

  1. Radical equations
  2. Extraneous solutions to radical equations
  3. Solve equations with two rational expressions
  4. Determine the end behavior of rational functions
  5. Identify and analyze discontinuities of rational functions

Miscellaneous

  1. Algebra II warmup

Users can view other Math Missions here.

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