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How are radical and binomial radical expressions, including expressions containing rational exponents, simplified?
How are radical equations solved?
What are some real-world situations that involve radical functions?
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Student Learning Map
- Topic:Radical Functions and Rational Exponents
- Subject(s):Math
- Days:17
- Grade(s):10, 11, 12
Key Learning:
Describing characteristics of radical functions and rational exponents help interpret real-world events and solve problems.
Unit Essential Question(s):
Lesson Essential Question(s):How is the "Nth" root of a radical expression calculated?
What is the process for simplifying a radical expression?
Why is it useful to determine roots of a radical expression?
Lesson Essential Question(s):What are the appropriate methods for multiplying and dividing radical expressions?
What are the appropriate methods for adding and subtracting radical expression?
What are some similarities and differences between the process of adding or subtracting radicals and multiplying or dividing radicals?
Lesson Essential Question(s):How are radical expressions that are in the form of binomials multiplied and divided? (A)
Lesson Essential Question(s):How are radical expression written using a rational exponent? (A)How are expressions involving rational exponents simplified? (A)
Lesson Essential Question(s):How are radical equations solved? (A)How are equations containing a rational exponent solved? (A)
Additional Info:
Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Culminating Activities:
1. Untitled Culminating ActivityStudent Assessment(s):
1. Untitled Student AssessmentAcquisition Lesson(s):
1. How is the "Nth" root of a radical expression calculated?2. What are the appropriate methods for multiplying and dividing radical expressions?3. How are radical expressions that are in the form of binomials multiplied and divided?4. How are radical expression written using a rational exponent?5. How are radical equations solved?6. What is the process for simplifying a radical expression?7. What are the appropriate methods for adding and subtracting radical expression?8. How are expressions involving rational exponents simplified?9. How are equations containing a rational exponent solved?Extended Thinking Lesson(s):
1. Why is it useful to determine roots of a radical expression?2. What are some similarities and differences between the process of adding or subtracting radicals and multiplying or dividing radicals?