About This Chapter
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.
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.
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.
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. 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.
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.
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.
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.
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.
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.
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Other chapters within the High School Algebra II: Homeschool Curriculum course
- Basic Arithmetic: Homeschool Curriculum
- Algebraic Equations: Homeschool Curriculum
- Real Numbers: Homeschool Curriculum
- Complex & Imaginary Numbers: Homeschool Curriculum
- Properties of Functions: Homeschool Curriculum
- Linear Equations: Homeschool Curriculum
- Systems of Linear Equations: Homeschool Curriculum
- Inequalities: Homeschool Curriculum
- Matrices & Determinants: Homeschool Curriculum
- Absolute Value: Homeschool Curriculum
- Polynomials: Homeschool Curriculum
- Factoring: Homeschool Curriculum
- Factoring Quadratic Equations: Homeschool Curriculum
- Rational Expressions: Homeschool Curriculum
- Graphing & Functions: Homeschool Curriculum
- Roots & Radical Expressions: Homeschool Curriculum
- Quadratic Equations: Homeschool Curriculum
- Logarithmic Functions: Homeschool Curriculum
- Conic Sections: Homeschool Curriculum
- Sequences & Series: Homeschool Curriculum
- Sets in Algebra: Homeschool Curriculum
- Combinatorics: Homeschool Curriculum
- Ratios & Percent: Homeschool Curriculum
- Statistics: Homeschool Curriculum
- Trigonometry: Homeschool Curriculum