# Ch 9: Common Core HS Functions - Exponential & Logarithmic Functions

Teach your high school students about exponential and logarithmic functions with the help of this chapter as you fulfill the requirements for the Common Core. You'll receive tips about how you can fully utilize the lessons in the classroom and learn what students will be able to do once they've mastered the standard.

Standard: Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)t, y = (0.97)t, y = (1.01)12t, y = (1.2)t/10, and classify them as representing exponential growth or decay. (CCSS.Math.Content.HSF-IF.C.8b)

Standard: Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. (CCSS.Math.Content.HSF-LE.A.1a)

Standard: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function. (CCSS.Math.Content.HSF-LE.A.3 )

Standard: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another. (CCSS.Math.Content.HSF-LE.A.1c)

Standard: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. (CCSS.Math.Content.HSF-IF.C.7e)

Standard: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). (CCSS.Math.Content.HSF-LE.A.2)

Standard: For exponential models, express as a logarithm the solution to ab to the ct power = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. (CCSS.Math.Content.HSF-LE.A.4)

Standard: Interpret the parameters in a linear or exponential function in terms of a context. (CCSS.Math.Content.HSF-LE.B.5)

Standard: Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. (CCSS.Math.Content.HSF-BF.B.5)

After your students have a thorough knowledge of exponential and logarithmic functions, they'll be able to name the five main exponent properties and define both a zero and a negative exponent. Knowledge of exponential and logarithmic functions will also allow students to recognize exponential and logarithmic growth patterns and understand exponential decay and growth.

The lesson topics for this standard include:

• Exponential growth's ability to become enormous
• Graphing exponential functions
• Finding an exponential equation from points, graphs or descriptions
• Solving exponential equations using logarithms
• Interpreting to coefficients of an exponential equation in context
• Logarithmic and exponential functions as inverses of each other
• Graphing logarithmic functions

You'll know when students have a good grasp of the standard once they understand logarithmic properties, can solve logarithmic equations and fully understand transformations of the graphs of exponential and log functions. The lessons might be just what your students need to prepare for college and could even be used to help them gain employment in banking, geologic or chemical industries.

### How to Use These Lessons in Your Classroom

Stuck for ways to make exponential and logarithmic functions engaging? Try these tips to get your students interested in the lessons:

#### Give Students Lessons and Quizzes for Homework

Since there are so many lessons for this standard, you might want to think about occasionally giving students some of them for homework along with some practice problems. Take the lesson quiz in class together and go over the homework assignment in class.

#### Use Flashcards for Definitions

Have students use flashcards for lessons that include definitions, such as How to Define a Zero and Negative Exponent. Flashcards can also be used for learning the five main exponent properties. Have students create their own flashcards as additional learning tools that can help engage them in the lesson.

#### Group Lessons Together

Lessons that deal with similar subject matter can be grouped together. For example, any lessons that deal with definitions of exponential and logarithmic functions can be grouped together. Lessons that deal with solving equations or practice problems can also be grouped together. Grouping similar lessons together might be able to help students focus better than they normally would.

8 Lessons in Chapter 9: Common Core HS Functions - Exponential & Logarithmic Functions
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.