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

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.