What are Polynomials?
Unit 2 ● Lesson 3 ● Activity 1
Which one doesn’t belong?
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Warm-up: Which One Doesn’t Belong?
Introducing Polynomials
Unit 2
Lesson 3
Polynomials and Rational Functions
Expressions and Equations
ALGEBRA 2
Unit 2 ● Lesson 3
I can identify important characteristics of polynomial graphs and expressions.
Learning
Targets
Algebra 2
degree
Unit 2 ● Lesson 3
The degree of a polynomial in x is the highest exponent occuring on x when you write the polynomial out as a sum of non-zero constants times powers of x (with like terms collected).
The leading coefficient of a polynomial is the coefficient of the leading term.
leading coefficient
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Glossary
relative maximum
relative minimum
Unit 2 ● Lesson 3
A point on the graph of a function that is higher than any of the points around it.
A point on the graph of a function that is lower than any of the points around it.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Glossary
Card Sort: Equations and Graphs
Unit 2 ● Lesson 3 ● Activity 2
Your teacher will give you a set of cards. Group them into pairs that represent the same polynomial function. Be prepared to explain your reasoning.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Identifying Features
Unit 2 ● Lesson 3 ● Activity 4
Write an equation for a polynomial with all the following features:
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Lesson Synthesis
Cool-down
Identifying Features
Unit 2 ● Lesson 3 ● Activity 4
Identify the approximate input values of any relative maximums and minimums of this 5th degree polynomial.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Lesson Synthesis
Cool-down