Ch 5: Exponential Expressions: Homeschool Curriculum

About This Chapter

The Exponential Expressions unit of this High School Algebra II Homeschool course is designed to help homeschooled students learn about exponential expressions. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

Who's it for?

This unit of our High School Algebra II Homeschool course will benefit any student who is trying to learn about exponential expressions. There is no faster or easier way to learn about exponential expressions. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn the relationship between exponents and multiplication, scientific notation, simplification and solutions for expressions in exponential notation, rules for order of operations, multiplication and division of exponential expressions, and use of negative exponents to write powers of fractions or decimals.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a math curriculum that appeals to multiple learning types (visual or auditory).
  • Gifted students and students with learning differences.

How it works:

  • Students watch a short, fun video lesson that covers a specific unit topic.
  • Students and parents can refer to the video transcripts to reinforce learning.
  • Short quizzes and an exponential expressions unit exam confirm understanding or identify any topics that require review.

Exponential Expressions Unit Objectives:

  • Discuss how exponents relate to multiplication.
  • Show how to write numbers using scientific notation.
  • Demonstrate how to simplify and solve expressions in exponential notation
  • Use the rules for order of operations to simplify expressions.
  • Explain how to multiply and divide exponential expressions.
  • Outline how to use negative exponents to write powers of fractions or decimals.

9 Lessons in Chapter 5: Exponential Expressions: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
How to Use Exponential Notation

1. How to Use Exponential Notation

Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.

Scientific Notation: Definition and Examples

2. Scientific Notation: Definition and Examples

Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.

Simplifying and Solving Exponential Expressions

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.

Exponential Expressions & The Order of Operations

4. Exponential Expressions & The Order of Operations

When performing mathematical operations, there is a specific order in which the operations should be performed. This includes when to simplify the exponents. This lesson will describe in what order exponents should be solved as you are performing mathematical operations.

Multiplying Exponential Expressions

5. Multiplying Exponential Expressions

There are certain rules that govern working with exponential expressions. This lesson deals with the rule for multiplying exponential expressions. It will describe the rule and give some examples of how it works.

Dividing Exponential Expressions

6. Dividing Exponential Expressions

Any time you work with expressions that contain exponents, you have to follow a specific set of rules that are not the same as when you are working with expressions that do not contain exponents. This lesson will describe the rules associated with dividing terms that contain exponents.

The Power of Zero: Simplifying Exponential Expressions

7. The Power of Zero: Simplifying Exponential Expressions

Raising a number to the power of zero is not the same as if the exponent is a number other than zero. This lesson will explain the rule involving using zero as an exponent and will give some examples of how it works.

Negative Exponents: Writing Powers of Fractions and Decimals

8. Negative Exponents: Writing Powers of Fractions and Decimals

Most numbers can be written in different ways, either as a fraction, decimal or exponent. This lesson will teach you how to write fractions and decimals using exponents and how to convert between the two.

Power of Powers: Simplifying Exponential Expressions

9. Power of Powers: Simplifying Exponential Expressions

Mathematics is a very logical science. There is a rule for everything and not many exceptions to those rules. Working with exponents is no different. This lesson will describe the rule for raising a power to a power and also will give some examples in how to solve them.

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

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