# Activities

• • • ##### Subject Area

• Math: Algebra II: Logarithms and Exponentials
• Math: Algebra II: Trigonometric Functions
• Math: Algebra II: Logarithmic Functions
• Math: Algebra II: Polynomials

• ##### Author 9-12

60 Minutes

Derive™ 6

## Using Derive

#### Activity Overview

In this activity, students use the Derive™ software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area between curves, study normal distribution, and calculate standard deviation.

#### Before the Activity

• Install the Derive 6™ software on the computer
• See the attached PDF file for detailed instructions for this activity
• Print the attached PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Define a polynomial function, solve it, graph the curve, and label all points on it
• Plot an absolute value function, and understand that the negative values of the function are reflected across the x-axis

• Solve trigonometric equations in either radians or degrees
• Simplify or expand trigonometric expressions using double angle formulas

• Simplify and solve exponential and logarithmic equations
• Find the inverse of a function
• Plot the graphs of the function and its inverse in the same plane
• Find the equations of the tangent and normal to a function at a given value using various methods

• Evaluate definite and indefinite integrals
• Draw a graph of the region bounded by the function and the x-axis, and find its area
• Trace the point of intersection

• Study the statistical distributions and determine probabilities for various situations
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary