Modeling TwoVariable Data  September

Describe the form, direction, strength, and outliers of a scatter plot visually

Interpret the slope and yintercept in context

Make a prediction by evaluating the line of best fit

Calculate and interpret residuals

Create a Least Squares Regression Line

Create upper and lower bounds and use them to create a range of predictions

Find and interpret the correlation coefficient

Make a conjecture about lurking variables
Rational Functions  October

Simplify rational expressions using Laws of Exponents and factoring

Add, subtract, multiply and divide rational expressions

Simplify complex fractions

Solve rational equations and check for extraneous solutions
Quadratic Functions – October/November

Solve quadratics by factoring, square roots, quadratic formula, and completing the square

Use the vertical motion formula to model objects in motion

Program the calculator to perform the quadratic formula
Parent Functions  November

Identify domain and range from an equation, table, and graph

Determine whether relations between two variables are functions

Identify, transform, and graph linear, quadratic, cubic, square root, exponential, reciprocal, and absolute value functions

Complete the square to graph quadratics

Transform nonparent graphs

Graph piecewise functions

Find equations of and sketch circles

Identify odd and even functions

Determine intervals on which functions are increasing and/or decreasing

Determine relative maximum and minimum values of functions
Polynomial Functions  December

Identify, evaluate, and multiply polynomials

Use synthetic division to divide polynomials by binomials

Factor polynomials using synthetic division

Find rational zeros of a polynomial function

Solve the box and fence problem using optimization
Rational Exponents and Radical Equations  January

Evaluate expressions with rational exponents

Rationalize denominators

Find the composition of one function with another function

Find the inverses of functions algebraically and graphically

Verify functions are inverses of each other

Solve radical equations and check for extraneous solutions
Exponential and Logarithmic Functions  February

Graph exponential and logarithmic functions

Evaluate logarithmic expressions

Use the changeofbase formula to rewrite and evaluate logarithmic expressions

Simplify logarithmic expressions by condensing and expanding

Solve exponential and logarithmic equations

Model reallife problems using exponential growth and decay

Find equations for exponential functions
Unit Circle – February/March

Convert between radian and degree measure of angles

Identify the special angles on the unit circle

Identify cosine, sine, tangent, secant, cosecant, and cotangent of the special angles on the unit circle

Evaluate the six trig functions for given angles on the unit circle

Simplify trig expressions using the Pythagorean, cofunction, supplement, and even/odd identities

Calculate the area of a sector of a circle

Calculate length of an arc

Graph sine, cosine, and tangent graphs and identify their domain, range, and period

Calculate missing sides and angles of triangles using Law of Sines and Law of Cosines
Graphing and Solving Trigonometry Graphs and Equations – March/April

Graph transformed sine and cosine curves

Write equations for transformed sine and cosine curves

Model reallife problems with sine and cosine curves

Graph inverse trig curves

Evaluate inverse trig expressions

Solve trig equations
Trig Identities – April/May

Simplify trig expressions using reciprocal, Pythagorean, cofunction, and supplement identities and Sum and Difference and Double angle formulas

Verify trig expressions using reciprocal, Pythagorean, cofunction, and supplement identities and Sum and Difference and Double angle formulas
Into to Calculus – May

Find a limit by substitution

Evaluate right and lefthanded limit to determine if limits exist

Evaluate limits going to infinity

Evaluate limits of rational functions

Evaluate difference quotient and average rate of change
