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ALGEBRA 2/TRIG KHAN ACADEMY PRACTICE MODULES
ALGEBRA 2
TRIGONOMETRY
PROBABILITY AND STATISTICS
Ch. 1 - Foundations for Functions
Understanding function notation
Evaluating expressions with function notation
Domain and range from a graph
Domain of a function
Range of a function
Recognizing functions 1
Recognizing functions 2
Shifting and reflecting functions
Positive and zero exponents
Negative exponents
Ch. 2 - Linear Functions
Ordered pair solutions to linear equations
Identifying linear relationships
Solving for the x-intercept
Identifying slope of a line
Line graph intuition
Graphing linear equations
Solving for the y-intercept
Slope intercept form
Point slope form
Converting between slope-intercept and standard form
Converting between point-slope and slope-intercept
Finding the equation of a line
Equations from tables
Equations of parallel and perpendicular lines
Graphs of absolute value functions
Ch. 3 - Linear Systems
Graphing systems of equations
Systems of equations with simple elimination
Systems of equations with elimination
Systems of equations with substitution
Systems of equations
Systems of equations word problems
Solutions to systems of equations
Graphing systems with one, zero, or infinite solutions
Systems with one, zero, or infinite solutions
Graphing systems of inequalities
Graphing and Solving Systems of inequalities
Modeling constraints with 2-variable inequalities
Ch. 4 - Matrices
Matrix dimensions
Representing relationships with matrices
Scalar matrix multiplication
Matrix addition and subtraction
Matrix transpose
Defined and undefined matrix operations
Multiplying a matrix by a vector
Ch. 5 - Quadratic Functions
Factoring quadratics 1
Solving quadratics by factoring 1
Factoring quadratics 2
Solving quadratics by factoring 2
Factoring differences of squares 1
Factoring differences of squares 2
Factoring differences of squares 3
Solving quadratics by taking the square root
Solving quadratics by completing the square 1
Solving quadratics by completing the square 2
Using the quadratic formula
Quadratic formula with complex solutions
Solutions to quadratic equation
Imaginary unit powers
The imaginary unit and complex numbers
The complex plane
Adding and subtracting complex numbers
Multiplying complex numbers
Dividing complex numbers
Absolute value of complex numbers
Ch. 6 - Polynomial Functions
Add and subtract polynomials with one variable
Add and subtract polynomials with two variables
Multiply monomials by monomials
Multiply monomials by polynomials
Multiply binomials by binomials
Multiplying binomials by polynomials
Find special products of binomials (basic)
Find special products of binomials (advanced)
Factors and divisibility
Factoring monomials
Greatest common factor
Factor polynomials by taking a common factor
Expand powers of binomial expressions (pascal's triangle)
Prove polynomial identities
Factor quadratics with a leading coefficient of 1
Factor quadratics with a leading coefficient other than 1
Factor polynomials with quadratic forms
Factor simple special products
Factor differences of squares
Factor perfect squares
Factor polynomials with special product forms
Divide polynomials by polynomials with remainders
Use the Polynomial Remainder Theorem to analyze the factors of polynomials
Use the zeros of a polynomial to analyze its graph
Graphs of polynomials
(end behavior)
Positive and negative intervals
Interpreting graphs word problems
Comparing features of functions
Ch. 7 - Exponential and Logarithmic Functions
EXPONENTIAL GROWTH AND DECAY
EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Understanding linear and exponential models
Comparing growth rates of exponentials and polynomials
Equivalent forms of exponential expressions
Constructing linear and exponential models
Rewriting and interpreting exponential functions
Modeling with exponential functions
Graphs of exponentials and logarithms
Simplifying logarithms
Simplifying logarithms 2
Operations with logarithms
Ch. 8 - Rational and Radical Functions
RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS
RADICAL EQUATIONS AND FUNCTIONS
Ch. 9 - Properties and Attributes of Functions
Graphs of piecewise linear functions
Graphs of piecewise nonlinear functions
Understanding function notation
Evaluating expressions with function notation
Modeling with combined functions
Evaluating composite functions
Modeling with composite functions
Shifting and reflecting functions
Ch. 10 - Conic Sections
CONIC SECTIONS
Distance between two points
Midpoint formula
Graph a circle according to its features
Find the features of a circle from its graph
Find the features of a circle from its standard equation
Graphing a circle from its standard equation
Write the equation of a circle
Find the features of a circle from its expanded form
Graph a circle from its expanded equation
Center and radii of an ellipse and its graph
Find the center and radii of an ellipse from its equation
Write the equation of an ellipse from its graph
Find the foci of an ellipse from its graph
Find the foci of an ellipse from its radii
Find the foci of an ellipse from its equation
Write the equation of an ellipse from its foci and other features
Write the equation of a parabola from its focus and directrix
Vertices and direction of hyperbola
Find the foci of a hyperbola from its equation
Write the equation of a hyperbola from its features
Shift and scale parabolas
Ch. 11 - Probability and Statistics
PROBABILITY AND STATISTICS
Ch. 12 - Sequences and Serie
s
SEQUENCES AND SERIES
Ch.13 - Trigonometric Functions
TRIGONOMETRIC FUNCTIONS
TRIGONOMETRY
Ch. 14 - Trigonometric Graphs and Identities
TRIGONOMETRIC FUNCTIONS
TRIGONOMETRY
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