Academic Standards
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.
Translating and Scaling Functions
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.
Solving Equations on the Number Line
Using Algebraic Equations
PC.1.4: Define, find, and check inverse functions.
Function Machines 3 (Functions and Problem Solving)
Logarithmic Functions
PC.1.7: Apply transformations to functions.
Absolute Value with Linear Functions
Exponential Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations
Zap It! Game
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.
Exponential Functions
Logarithmic Functions
PC.2.3: Draw and analyze graphs of logarithmic and exponential functions.
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic 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.
Cosine Function
Sine Function
Translating and Scaling Sine and Cosine Functions
PC.4.2: Convert between degree and radian measures.
Cosine Function
Sine Function
Tangent Function
PC.4.4: Solve word problems involving applications of trigonometric functions.
Sine, Cosine, and Tangent Ratios
PC.4.5: Define and graph trigonometric functions (i.e., sine, cosine, tangent, cosecant, secant, cotangent).
Cosine Function
Simplifying Trigonometric Expressions
Sine Function
Sine, Cosine, and Tangent Ratios
Sum and Difference Identities for Sine and Cosine
Tangent Function
Translating and Scaling Sine and Cosine Functions
PC.4.6: Find domain, range, intercepts, periods, amplitudes, and asymptotes of trigonometric functions.
Cosine Function
Sine Function
Tangent Function
PC.4.8: Define and graph inverse trigonometric functions.
PC.4.9: Find values of trigonometric and inverse trigonometric functions.
Translating and Scaling Functions
PC.4.11: Make connections between right triangle ratios, trigonometric functions, and circular functions.
Cosine Function
Sine Function
Tangent Function
PC.5.2: Use basic trigonometric identities to verify other identities and simplify expressions.
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine
PC.5.3: Understand and use the addition formulas for sines, cosines, and tangents.
Sum and Difference Identities for Sine and Cosine
PC.6.4: Define complex numbers, convert complex numbers to trigonometric form, and multiply complex numbers in trigonometric form.
Points in the Complex Plane
Roots of a Quadratic
PC.7.4: Use recursion to describe a sequence.
Arithmetic Sequences
Geometric Sequences
PC.8.1: Find linear models using the median fit and least squares regression methods. Decide which model gives a better fit.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
PC.8.2: Calculate and interpret the correlation coefficient. Use the correlation coefficient and residuals to evaluate a ?best-fit? line.
Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
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.
Solving Algebraic Equations II
Solving Equations on the Number Line
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.
Solving Linear Systems (Standard Form)
Correlation last revised: 1/20/2017