About This Chapter
Below is a sample breakdown of the Exponents and Exponential Expressions chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday|| How to Use Exponential Notation; |
Scientific Notation: Definition and Examples
| The process of writing exponential notation; |
Writing the two parts of a scientific notation
|Tuesday|| Simplifying and Solving Exponential Expressions; |
Exponential Expressions and the Order of Operations
| Different kinds of exponential expressions, including exponents, positive and negative integers, fractions and variables; |
The required steps of the order of operations
|Wednesday|| Multiplying Exponential Expressions; |
Dividing Exponential Expressions
| The rules for multiplying exponents; |
The process of dividing and simplifying expressions
|Thursday|| The Power of Zero: Simplifying Exponential Expressions; |
Negative Exponents: Writing Powers of Fractions and Decimals
| A look at what occurs when zero is used as an exponent; |
The process of writing fractions as decimals
|Friday||Power of Powers: Simplifying Exponential Expressions||Examples of the process of raising a power to a power|
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.
10. Scientific Notation: Practice Problems
Scientific notation has a lot of exponents, but it's really not that bad - and it's really convenient for working with awkwardly big or small numbers! Get some practice here.
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Other chapters within the Algebra I Curriculum Resource & Lesson Plans course
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