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Algebra 1

Algebra 1. 7.5 Polynomials. Learning Targets. Students should be able to… Classify polynomials and write polynomials in standard form. Evaluate polynomial expressions. ELL Targets. Language Goal Students should be able to classify polynomials and write polynomials in standard form.

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Algebra 1

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  1. Algebra 1 7.5 Polynomials

  2. Learning Targets • Students should be able to… • Classify polynomials and write polynomials in standard form. • Evaluate polynomial expressions.

  3. ELL Targets Language Goal • Students should be able to classify polynomials and write polynomials in standard form. Math Goal • Students should be able to use evaluate polynomial expressions. Essential Question • What information can you learn by classifying polynomials?

  4. Warm-up

  5. Vocabulary Monomial: a number, a variable, or a product of numbers and variables with whole number exponents. Degree of a monomial: the sum of the exponents of the variables. • A constant has degree 0. Polynomial: a monomial or a sum or difference of monomials.

  6. Vocabulary Degree of a polynomial: the degree of the term with the greatest degree. Standard form of a polynomial: a polynomial that contains one variable is written with the terms in order from greatest degree to least degree. Leading coefficient: when a polynomial is written in standard form, the coefficient of the first term.

  7. Vocabulary Quadratic: A polynomial of degree 2. Cubic: A polynomial of degree 3. Binomial: A polynomial with two terms. Trinomial: A polynomial with three terms.

  8. Example Type 1: Finding the Degree of a Monomial Find the degree of each monomial. A. B. 4 C. 8y

  9. Example Type 1: Finding the Degree of a Monomial Find the degree of each monomial. D. 1.5 E. 4x F.

  10. Example Type 2: Finding the Degree of a Polynomial Find the degree of each polynomial. A. 4x – 18 B. 0.5 + 0.25xy + 0.75

  11. Example Type 2: Finding the Degree of a Polynomial Find the degree of each polynomial. C. D.

  12. Example Type 3: Writing Polynomials in Standard Form Write each polynomial in standard form. Then give the leading coefficient. A. 20x - + 2 - B.

  13. Example Type 3: Writing Polynomials in Standard Form Write each polynomial in standard form. Then give the leading coefficient. C. D.

  14. Classifying Polynomials Constant Linear Monomial Quadratic Binomial Cubic Trinomial Quartic Polynomial Quintic 6th degree, 7th degree, and so on

  15. Example Type 4: Classifying Polynomials Classify each polynomial according to its degree and term. A. 5x – 6 B. + y + 4 C.

  16. Example Type 4: Classifying Polynomials Classify each polynomial according to its degree and number. D. E. F. 6

  17. Example Type 4: Word Applications A. A firework is lunched from a platform 6 feet above the ground at a speed of 200 feet per second. The firework has a 5-second fuse. The height of the firework in feet is given by the polynomial, where t is the time in seconds. How high will the firework be when it explodes?

  18. Example Type 4: Word Applications B. Another firework with a 5-second fuse is launched from the same platform at a speed of 400 feet per second. Its height is given by . How high will this firework be when it explodes?

  19. Lesson Quiz

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