PC.1.1: Recognize and graph various types of functions, including polynomial, rational, algebraic, and absolute value functions. Use paper and pencil methods and graphing calculators.
PC.1.2: Find domain, range, intercepts, zeros, asymptotes, and points of discontinuity of functions. Use paper and pencil methods and graphing calculators.
PC.1.3: Model and solve word problems using functions and equations.
PC.1.4: Define, find, and check inverse functions.
PC.1.7: Apply transformations to functions.
PC.1.10: Write the equations of conic sections in standard form (completing the square and using translations as necessary), in order to find the type of conic section and to find its geometric properties (foci, asymptotes, eccentricity, etc.).
PC.2.2: Find the domain, range, intercepts, and asymptotes of logarithmic and exponential functions.
PC.2.3: Draw and analyze graphs of logarithmic and exponential functions.
PC.2.4: Define, find, and check inverse functions of logarithmic and exponential functions.
PC.4.1: Define sine and cosine using the unit circle.
PC.4.2: Convert between degree and radian measures.
PC.4.4: Solve word problems involving applications of trigonometric functions.
PC.4.5: Define and graph trigonometric functions (i.e., sine, cosine, tangent, cosecant, secant, cotangent).
PC.4.6: Find domain, range, intercepts, periods, amplitudes, and asymptotes of trigonometric functions.
PC.4.8: Define and graph inverse trigonometric functions.
PC.4.9: Find values of trigonometric and inverse trigonometric functions.
PC.4.11: Make connections between right triangle ratios, trigonometric functions, and circular functions.
PC.5.2: Use basic trigonometric identities to verify other identities and simplify expressions.
PC.5.3: Understand and use the addition formulas for sines, cosines, and tangents.
PC.6.4: Define complex numbers, convert complex numbers to trigonometric form, and multiply complex numbers in trigonometric form.
PC.7.4: Use recursion to describe a sequence.
PC.8.1: Find linear models using the median fit and least squares regression methods. Decide which model gives a better fit.
PC.8.2: Calculate and interpret the correlation coefficient. Use the correlation coefficient and residuals to evaluate a ?best-fit? line.
PC.8.3: Find a quadratic, exponential, logarithmic, power, or sinusoidal function to model a data set and explain the parameters of the model.
PC.9.4: Use the properties of number systems and order of operations to justify the steps of simplifying functions and solving equations.
PC.9.5: Understand that the logic of equation solving begins with the assumption that the variable is a number that satisfies the equation, and that the steps taken when solving equations create new equations that have, in most cases, the same solution set as the original. Understand that similar logic applies to solving systems of equations simultaneously.
Correlation last revised: 1/20/2017