About This Chapter
Standard: Use the properties of exponents to transform expressions for exponential functions. (CCSS.Math.Content.HSA-SSE.B.3c)
About This Chapter
Students who have mastered this standard are able to analyze and calculate formulas that feature several different types of exponents. By understanding the five main exponent properties, you will be able to take complex expressions and simplify them into shorter expressions. Some of our video lessons also teach you how to graph exponents.
Lessons in this standard cover concepts such as:
- Identifying the five main exponent properties
- Defining a zero and negative exponent
- Simplifying expressions using exponents
- Explaining an exponential function
- Demonstrating exponential growth vs. decay
Students demonstrate mastery of this standard by correctly solving math problems that feature regular, zero and/or negative exponents as well as being able to detail exponential functions. Mastery of this standard is important if they want to enter a career where they have to chart the growth or decay of a business, service or product.
How to Use These Lessons in Your Classroom
Here are some tips for how to use these lessons to support instruction in this standard:
Zero and Negative Exponent Lessons
Develop a worksheet consisting of negative and zero exponent problems. Display the video lesson 'How to Define a Zero and Negative Exponent.' Assign the worksheet for homework and talk about the results the next day. When going over the worksheet, demonstrate alternative ways that the zero and negative exponents can be displayed.
Five Main Exponent Properties Lessons
Exhibit the video lesson 'What are the Five Main Exponent Properties?' Give the students sample problems that follow concepts found in the video lesson. Instruct the students to answer the problems. Spend time discussing the results with the class. Require them to identify which property each problem follows.
Growth vs. Decay Lessons
Display exponential growth and decay charts on the chalkboard and pass out graph paper. Have the class watch the 'Exponential Growth vs. Decay' video lesson. Call on students to fill out the charts on the chalkboard. Instruct the students to plot the decay and growth points on their graph paper. Discuss the results and what asymptote means.
1. What Are the Five Main Exponent Properties?
We'll look at the five important exponent properties and an example of each. You can think of them as the order of operations for exponents. Learn how to handle math problems with exponents here!
2. How to Define a Zero and Negative Exponent
The zero and negative exponent properties are two you will use quite a lot in mathematics. The negative exponent property can be confusing, but when you remember a couple fun ideas, you will get it right every time!
3. Simplifying and Solving Exponential Expressions
What do we do with an exponent? In this lesson, we'll learn how to simplify and solve expressions containing exponents. We'll solve a variety of types of exponential expressions.
4. What Is an Exponential Function?
Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!
5. Exponential Growth vs. Decay
How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!
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Other chapters within the Common Core Math - Algebra: High School Standards course
- Common Core HS Algebra: Algebraic Expressions
- Common Core HS Algebra: Linear Equations
- Common Core HS Algebra: Linear Inequalities
- Common Core HS Algebra: Quadratics
- Common Core HS Algebra: Polynomials
- Common Core HS Algebra: Rational and Radical Expressions and Equations
- Common Core HS Algebra: Systems of Equations
- Common Core HS Algebra: Matrices
- Common Core HS Algebra: Sequences and Series
- Understanding Common Core Standards