About This Chapter
Below is a sample breakdown of the Dividing Radicals & 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||Exponent properties||Arithmetic with signed numbers, the five main exponent properties|
|Tuesday||Division of radical expressions||Applications of the quotient of powers property, methods for simplifying radical expressions and rationalizing the denominator|
|Wednesday||Division of exponential expressions||Strategies for dividing exponential expressions with similar and different bases|
|Thursday||Negative exponents||Methods for converting negative exponents to fractions|
|Friday||Reciprocals||Steps for taking the reciprocal of a radical|
1. Arithmetic Calculations with Signed Numbers
Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.
2. 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!
3. Quotient Of Powers: Property & Examples
The quotient of powers rule states that when dividing two powers with the same base, just subtract the exponents. Don't worry if that doesn't make sense off the bat; this lesson will clear everything up, give some examples, and provide a quiz for you to test your knowledge.
4. Dividing Radical Expressions
When dividing radical expressions, we use the quotient rule. This lesson will describe the quotient rule and how to use it to solve these radical expressions.
5. 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.
6. Changing Negative Exponents to Fractions
A negative exponent isn't like a normal exponent. In this lesson, we'll learn about negative exponents and how they lead us to fractions. We'll practice with numbers and variables.
7. Division and Reciprocals of Radical Expressions
Watch this video lesson to learn what you need to do when dividing radical expressions. Learn what you need to look out for before you divide and why you can't leave your radical in your denominator.
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Other chapters within the Division Lesson Plans & Curriculum Resource course