Polynomial Classification: Naming by Degree and Terms

Algebra 2 Grades High School 3:45 Video
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Lesson Description

Learn to classify polynomials by degree and number of terms. This lesson covers monomials, binomials, trinomials, and polynomials, as well as first, second, third, and higher-degree polynomials.

Video Resource

Polynomials Name

Kevinmathscience

Duration: 3:45
Watch on YouTube

Key Concepts

  • Monomial, binomial, trinomial, polynomial
  • Degree of a polynomial
  • Classifying polynomials by degree and number of terms

Learning Objectives

  • Students will be able to identify the number of terms in a polynomial.
  • Students will be able to determine the degree of a polynomial.
  • Students will be able to name polynomials based on their degree and number of terms.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing what a polynomial is and its basic structure (terms, coefficients, exponents). Briefly discuss the importance of classifying polynomials for further algebraic manipulations.
  • Video Presentation (7 mins)
    Play the YouTube video 'Polynomials Name' by Kevinmathscience. Instruct students to take notes on key vocabulary (monomial, binomial, trinomial, degree) and examples.
  • Guided Practice (10 mins)
    Work through examples similar to those in the video, naming polynomials based on their degree and number of terms. Start with simpler examples and gradually increase complexity. For example: 3x^2 + 2x - 1, 5x^4, 7x + 9.
  • Independent Practice (10 mins)
    Provide students with a worksheet or online exercise containing a variety of polynomials. Students should classify each polynomial by degree and number of terms. Provide answer key and feedback.
  • Wrap-up and Q&A (3 mins)
    Summarize the key concepts of the lesson. Address any remaining questions students may have. Preview how this knowledge will be used in future lessons (e.g., polynomial operations, factoring).

Interactive Exercises

  • Polynomial Sort
    Create cards with different polynomials written on them. Have students sort the cards into categories based on the number of terms (monomial, binomial, trinomial, polynomial) or degree (first, second, third, etc.).

Discussion Questions

  • Why is it important to classify polynomials?
  • How does the degree of a polynomial affect its graph?

Skills Developed

  • Classification
  • Algebraic Reasoning

Multiple Choice Questions

Question 1:

A polynomial with one term is called a:

Correct Answer: Monomial

Question 2:

A polynomial with two terms is called a:

Correct Answer: Binomial

Question 3:

A polynomial with three terms is called a:

Correct Answer: Trinomial

Question 4:

The degree of the polynomial 5x^3 + 2x - 1 is:

Correct Answer: 3

Question 5:

Which of the following is a binomial?

Correct Answer: 4x + 5

Question 6:

Which of the following is a trinomial?

Correct Answer: x^2 + 3x + 2

Question 7:

What is the degree of the polynomial x^5 + 3x^2 - 7?

Correct Answer: 5

Question 8:

What is the name for a polynomial with a degree of 1?

Correct Answer: Linear

Question 9:

What is the name for a polynomial with a degree of 2?

Correct Answer: Quadratic

Question 10:

Which of the following is a 7th degree polynomial?

Correct Answer: x^7 + x^4

Fill in the Blank Questions

Question 1:

A polynomial with one term is called a ________.

Correct Answer: monomial

Question 2:

A polynomial with two terms is called a ________.

Correct Answer: binomial

Question 3:

A polynomial with three terms is called a ________.

Correct Answer: trinomial

Question 4:

The degree of a polynomial is determined by the ________ exponent of the variable.

Correct Answer: highest

Question 5:

The polynomial 4x + 7 is a first degree ________.

Correct Answer: binomial

Question 6:

A second-degree polynomial is also called a ________ polynomial.

Correct Answer: quadratic

Question 7:

The polynomial 9x^2 - 3x + 1 is a second degree ________.

Correct Answer: trinomial

Question 8:

Any polynomial with four or more terms is simply called a ________.

Correct Answer: polynomial

Question 9:

x^3 - 2x^2 + x - 5 is a third degree ________.

Correct Answer: polynomial

Question 10:

The polynomial x^4 is a fourth degree ________.

Correct Answer: monomial

Educational Standards

A2.A.2.2:[Objective] Add, subtract, multiply, divide, and simplify polynomial expressions. A2.A.2.1:[Objective] Factor polynomial expressions including, but not limited to, trinomials, differences of squares, sum and difference of cubes, and factoring by grouping, using a variety of tools and strategies.

Teaching Materials

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