Student Resources

UNIT VI: Exponential and Logarithmic Functions

Graphing Calculator

1 Compound Interest
This calculator activity shows how to use the Time, Value, Money Solver application to solve compound interest problems.

Reviews

2 Applications of Exponential Functions
This link provides practice for solving application problems dealing with exponential functions.
3 e and ln
This link reviews the concepts of e and the natural log.
4 Logarthmic Models
This link provides review of examples of logarithmic models.
5 Simplify ln and e
This website gives practice to using the log properties to simplify expressions that involve ln and e.

Video Segments

6 Using Logs to Analyze Earthquakes (DE Streaming) Video Clip 4
This video shows how logarithms are used to measure the intensity of earthquakes and how these value vary (Student Login: hcpss_student, Password: student).

UNIT VI: Exponential and Logarithmic Functions

Labs

1 Disappearing Discs
This lab has students collect data and develop an exponential decay model to fit the set of collected data.
2 P Soup
This activity will involve measuring the pH of a set of buffered solutions. Once the pH is determined, the concentration of the hydronium ion can be calculated.

Reviews

3 Changing an Exponential Equation to a Logarithmic Equation
This link reviews how to change an exponential equation to a logarithmic equation.
4 Graphing Logarithmic Functions of Different Bases
This link reviews how to graph logarithmic functions of different bases.
5 Graphs of Exponential Functions
This link provides a review for graphing exponential functions.
6 Properties of Logarithms
This link reviews the properties of logarithms.
7 Simplifying Expressions with Rational Exponents
This link provides practice for evaluating expressions with rational exponents.
8 Solving Exponential Equations
This link provides a review for solving exponential equations.
9 Solving Logarithmic Equations
This link provides a review for solving logarithmic equations.
10 Transformations of Exponential Functions
This link provides a review for identifying transformations of exponential functions.

UNIT VII: Radical Functions

1 Changing Exponential Form to Radical Form
This link provides review for changing expressions in exponential form to radical form.
2 Changing Radical Form to Exponential Form
This link provides practice changing expressions in radical form to exponential form.
3 Finding the Domain of Radical Functions
This website provides practice problems and solutions to finding the domain of radical functions.
4 Graphing Radical Functions
This link provides a review for graphing radical functions.
5 Radical Functions
This link contains a review of radical functions.
6 Simplifying Radical Expressions
This link provides a review for simplifying radical expressions.
7 Solving Radical Equations
This link provides a review for solving radical equations.

Tutorials

8 Operations with Radical Expressions
This link contains video tutorials and PowerPoint presentations to review operations with radical expressions.

Video Segments

9 Real World Model for Radical Functions
This videos gives an example of where radical functions are used in the real world (Student Login: hcpss_student, Password: student).

UNIT VIII: Rational Functions

eTools

1 Adding Rational Expressions
This applet allows the user to work through rational operations.

Graphing Calculator

2 Asymptotes and Zeros
Students relate the graph of a rational function to the graphs of the polynomial functions of its numerator and denominator. Students graph these polynomials one at a time and identify their y-intercepts and zeros. Using the handheld's manual manipulation functions, students can manipulate the graphs of the numerator and denominator functions and see the effect on the rational function.
3 Graphing Rational Functions on Calculator
This activity reviews how to graph rational functions on the graphing calculator.

Reviews

4 Domain of Rational Functions
This link reviews how to find the domain of a rational function.
5 Graphing Rational Functions
This link reviews graphing of rational functions.
6 Inverse Variation
This link reviews the concept of inverse variation.
7 Multiplying and Dividing Rational Expressions
This link provides practice with multiplying and dividing rational expressions.
8 Operations with Rational Expressions
This link reviews how to add, subtract, multiply, and divide rational expressions.
9 Rational Functions
This link reviews the definition of rational functions.
10 Simplifying Rational Expressions
This link provides a review for simplifying rational expressions.
11 Solving Rational Equations
This link provides a review for solving rational equations.
12 Vertical Asymptotes
This website gives the steps on how to find the equations of vertical asymptotes.