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How are polynomial functions written, graphed, and used to solve real-world problems?
How are operations on polynomials performed?
What techniques and theorems are used to find the zeros of polynomial functions?
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Student Learning Map
- Topic:Polynomials and Polynomial Functions
- Subject(s):Math
- Days:16
- Grade(s):10, 11, 12
Key Learning:
Describing characteristics of polynomials and polynomial functions help interpret real-world events and solve problems.
Unit Essential Question(s):
Lesson Essential Question(s):What is a polynomial function? (A)Why is the degree of a polynomial important and how is it determined? (A)Why is the degree of a polynomial important and how is it determined? (ET)Lesson Essential Question(s):What are the appropriate methods for performing operations on polynomials? (A)Vocabulary:Concept: Solving Polynomial Equations using the Rational Root Theorem Lesson Essential Question(s):How is synthetic division used to divide polynomials by linear factors?
Lesson Essential Question(s):How is the Factor Theorem used to relate the linear factors of a polynomial to its zeros? (A)Why is the remainder theorem useful in the real-world? (ET)How is the remainder theorem used to evaluate polynomials for a specific value? (A)Lesson Essential Question(s):How are polynomial equations solved? (A)How is the Rational Root Theorem used to help solve polynomial equations? (A)Lesson Essential Question(s):How are polynomial inequalities solved by examining the graph with and without the use of technology?
Lesson Essential Question(s):Lesson Essential Question(s):
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. What is a polynomial function?2. What are the appropriate methods for performing operations on polynomials?3. How are the zeros of a polynomial found graphically and algebraically?4. How is synthetic division used to divide polynomials by linear factors?5. How is the Factor Theorem used to relate the linear factors of a polynomial to its zeros?6. How are polynomial equations solved?7. Why is the degree of a polynomial important and how is it determined?8. What are some reasons why the zeros of a function important?9. How is the remainder theorem used to evaluate polynomials for a specific value?10. How is the Rational Root Theorem used to help solve polynomial equations?Extended Thinking Lesson(s):
1. Why is the degree of a polynomial important and how is it determined?2. What are some reasons why the zeros of a function important?3. Why does the process of synthetic division work?4. Why is the remainder theorem useful in the real-world?