M.S. Algebra – Ch. 9.1A Adding & Subtracting Polynomials Mr. Deyo

Learning Target By the end of the period, I will add and subtract polynomials in order to solve problems. I will demonstrate this by taking notes in a graphic organizer and by solving problems in a group/pair activity.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section __9.1___ 3) Section ______ TxtBk. Problems___Pg. 523__ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Pg. 523 #19, 20, 21, 22, 23, 24 31, 34, 35 Table of Contents Date Description Date Due

Vocabulary Monomial Polynomial Degree Number Teacher says the word. ALL Students repeat the word. Teacher counts out syllables as s/he says the word. ALL students repeat syllable count as they say the word. Student teams create a physical representation of the word. Class chooses one physical representation for ALL students. Student teams create a friendly definition for the word. Class chooses one friendly definition for the word.

Vocabulary Acquisition Friendly Definition Sketch Wordwork Sentence DAY 2 1. Review word Friendly Definition Physical Representation 2. Draw a sketch DAY 1 Use Visuals Introduce the word Friendly Definition Physical Representation Use Cognates Write friendly definition Word List Vocabulary Acquisition DAY 3 and/or DAY 4 1. Review the word Friendly Definition Physical Representation 2. Show how the word works Synonyms/antonym Word Problems Related words/phrases Example/non-example DAY 5 1. Review the word Friendly definition Physical Representation 3. Write a sentence at least 2 rich words (1 action) correct spelling correct punctuation correct subject/predicate agreement clear and clean writing

Notes:

3 15x + x3 – Rewrite a polynomial Example 1 Write so that the exponents decrease from left to right. Identify the degree and leading coefficient of the polynomial.

3 15x + x3 – 15x + x3 – 3 Rewrite a polynomial Example 1 Write so that the exponents decrease from left to right. Identify the degree and leading coefficient of the polynomial. SOLUTION The polynomial can be written as The table shows the degree of each term. The greatest degree is 3, so the degree of the polynomial is 3, and the leading coefficient is . 15x + x3 – 3 1 Term Degree

( 3x2 + x – 6 ) + ( x2 + 4x + 10 ). Add polynomials Problem A Example 4 Add polynomials Problem A Find the sum ( 3x2 + x – 6 ) + ( x2 + 4x + 10 ).

Group like terms and simplify. Example 4 Add polynomials Problem A Find the sum ( 3x2 + x – 6 ) + ( x2 + 4x + 10 ). x 3x2 + 6 – ( ) 4x x2 10 SOLUTION Group like terms and simplify. = x2 3x2 + ( ) 4x x 10 6 – = 5x + 4x2 4

a. – 3b2 + 7b2 5xy 2xy – b. Add and subtract monomials Problem B Example 3 Add and subtract monomials Problem B Find the sum or difference. a. – 3b2 + 7b2 5xy 2xy – b.

Combine like terms. Rewrite as a sum. Combine like terms. a. – 3b2 + Example 3 Add and subtract monomials Problem B Find the sum or difference. a. – 3b2 + 7b2 4b2 = Combine like terms. 5xy 2xy – b. + = 2xy 5xy – ( ) Rewrite as a sum. = 3xy – Combine like terms.

Learning Target By the end of the period, I will add and subtract polynomials in order to solve problems. I will demonstrate this by taking notes in a graphic organizer and by solving problems in a group/pair activity.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section __9.1___ 3) Section ______ TxtBk. Problems___Pg. 523__ Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Pg. 523 #19, 20, 21, 22, 23, 24 31, 34, 35 Table of Contents Date Description Date Due

Guided Practice for Examples 1, 2, 3, and 4 Find the sum or difference. 3. 2x2 + 4x2 4. 2ab2 7ab2 – 5. 4x 5x3 + 2x – ( ) 3x3 4x2 6

ANSWER 6x2 ANSWER 5ab2 – ANSWER 4x2 8x3 + 2x 6 – 3. 2x2 + 4x2 4. 2ab2 Guided Practice for Examples 1, 2, 3, and 4 Find the sum or difference. 3. 2x2 + 4x2 ANSWER 6x2 4. 2ab2 7ab2 – ANSWER 5ab2 – 5. 4x 5x3 + 2x – ( ) 3x3 4x2 6 ANSWER 4x2 8x3 + 2x 6 –

TPS (Think, Write, Discuss, Report) What is the difference between a binomial and a trinomial? The difference between a binomial and a trinomial is that _______________________ _______________________________________. What is the degree of a monomial or polynomial? The degree of a monomial or polynomial is ___

Vocabulary Review Monomial Polynomial Degree Number

Learning Target By the end of the period, I will add and subtract polynomials in order to solve problems. I will demonstrate this by taking notes in a graphic organizer and by solving problems in a group/pair activity.

Ticket OUT. Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you.