Modeling Two-Variable Data - September
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Describe the form, direction, strength, and outliers of a scatter plot visually
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Interpret the slope and y-intercept in context
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Make a prediction by evaluating the line of best fit
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Calculate and interpret residuals
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Create a Least Squares Regression Line
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Create upper and lower bounds and use them to create a range of predictions
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Find and interpret the correlation coefficient
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Make a conjecture about lurking variables
Rational Functions - October
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Simplify rational expressions using Laws of Exponents and factoring
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Add, subtract, multiply and divide rational expressions
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Simplify complex fractions
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Solve rational equations and check for extraneous solutions
Quadratic Functions – October/November
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Solve quadratics by factoring, square roots, quadratic formula, and completing the square
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Use the vertical motion formula to model objects in motion
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Program the calculator to perform the quadratic formula
Parent Functions - November
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Identify domain and range from an equation, table, and graph
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Determine whether relations between two variables are functions
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Identify, transform, and graph linear, quadratic, cubic, square root, exponential, reciprocal, and absolute value functions
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Complete the square to graph quadratics
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Transform non-parent graphs
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Graph piecewise functions
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Find equations of and sketch circles
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Identify odd and even functions
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Determine intervals on which functions are increasing and/or decreasing
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Determine relative maximum and minimum values of functions
Polynomial Functions - December
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Identify, evaluate, and multiply polynomials
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Use synthetic division to divide polynomials by binomials
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Factor polynomials using synthetic division
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Find rational zeros of a polynomial function
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Solve the box and fence problem using optimization
Rational Exponents and Radical Equations - January
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Evaluate expressions with rational exponents
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Rationalize denominators
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Find the composition of one function with another function
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Find the inverses of functions algebraically and graphically
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Verify functions are inverses of each other
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Solve radical equations and check for extraneous solutions
Exponential and Logarithmic Functions - February
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Graph exponential and logarithmic functions
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Evaluate logarithmic expressions
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Use the change-of-base formula to rewrite and evaluate logarithmic expressions
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Simplify logarithmic expressions by condensing and expanding
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Solve exponential and logarithmic equations
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Model real-life problems using exponential growth and decay
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Find equations for exponential functions
Unit Circle – February/March
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Convert between radian and degree measure of angles
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Identify the special angles on the unit circle
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Identify cosine, sine, tangent, secant, cosecant, and cotangent of the special angles on the unit circle
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Evaluate the six trig functions for given angles on the unit circle
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Simplify trig expressions using the Pythagorean, cofunction, supplement, and even/odd identities
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Calculate the area of a sector of a circle
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Calculate length of an arc
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Graph sine, cosine, and tangent graphs and identify their domain, range, and period
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Calculate missing sides and angles of triangles using Law of Sines and Law of Cosines
Graphing and Solving Trigonometry Graphs and Equations – March/April
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Graph transformed sine and cosine curves
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Write equations for transformed sine and cosine curves
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Model real-life problems with sine and cosine curves
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Graph inverse trig curves
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Evaluate inverse trig expressions
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Solve trig equations
Trig Identities – April/May
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Simplify trig expressions using reciprocal, Pythagorean, cofunction, and supplement identities and Sum and Difference and Double angle formulas
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Verify trig expressions using reciprocal, Pythagorean, cofunction, and supplement identities and Sum and Difference and Double angle formulas
Into to Calculus – May
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Find a limit by substitution
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Evaluate right and left-handed limit to determine if limits exist
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Evaluate limits going to infinity
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Evaluate limits of rational functions
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Evaluate difference quotient and average rate of change
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