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Curipod generated lesson: "Intro to Polynomials". #8-10

Updated 5 months ago

1. Word cloud

120 seconds

What does the prefix "poly" mean?

2. Slide

60 seconds

"I can define and describe polynomials by degree, terms, coefficients, constants, and/or variables."

Learning objective:

3. Slide

60 seconds

Polynomial: A mathematical expression made up of monomials, each of which is composed of a numerical coefficient and a variable raised to a power. Monomial: 1 term Binomial: 2 terms Trinomial: 3 terms Degree of a Polynomial: The highest power of the variable in a polynomial expression, which determines the number of terms in the polynomial. Term: Each monomial in a polynomial that is separated between plus or minus signs. Coefficient: The numerical factor that multiplies the corresponding variable in a polynomial expression.

Concepts:

4. Slide

60 seconds

5. Drawings

150 seconds

Circle a term, square a coefficient, diamond a constant, point to an operator

6. Slide

60 seconds

7. Open question

120 seconds

Work together in pairs: What is the degree of the polynomial 5x^3 + 7x - 2?

8. Open question

120 seconds

Work together in pairs: What is the degree of the polynomial 4x^5 + 2x^3 + 7?

9. Drawings

450 seconds

Brain break: Draw a pizza with wings and a superhero mask

10. Slide

60 seconds

The oldest known polynomial equation dates back to Babylonian clay tablets from over 3,500 years ago. The expression “binomial coefficient” is a combination of two Latin words, “bi” which means two, and “nomen” which means name Every polynomial equation of degree n has at most n distinct roots or solutions

Did you know?

11. Slide

60 seconds

A polynomial can only be made up of terms with whole number exponents by addition, subtraction, or multiplication. All other operations are OUT!

What is a polynomial?

12. Drawings

270 seconds

Create an example of a polynomial and a non-polynomial.

13. Poll

90 seconds

Which of these expressions is a polynomial?

- 3x^4y^2 + 5xy - x^(1/3)y^(4/5)
- (x-1)/(x+1)
- x^2 + 2x-1

14. Poll

90 seconds

What is the degree of a polynomial?

- The constant term in a polynomial
- The highest power (exponent) on the variable in a polynomial
- The lowest power (exponent) on the variable in a polynomial

15. Poll

120 seconds

What does it mean for two polynomials to be equal?

- They have exactly identical terms with the same degree and coefficient
- They have different coefficients but same degrees
- They have different degrees but same coefficient

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