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Algebra – Ch. 9.1B Std. 10 Mult i-step Problems with Polynomials

Algebra – Ch. 9.1B Std. 10 Mult i-step Problems with Polynomials. Mr. Deyo. Learning Target. By the end of the period , I will add, subtract, multiply, and divide monomials and polynomials to solve multi-step problems.

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Algebra – Ch. 9.1B Std. 10 Mult i-step Problems with Polynomials

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  1. Algebra – Ch. 9.1B Std. 10 Multi-step Problems with Polynomials Mr. Deyo

  2. Learning Target By the end of the period, I will add, subtract, multiply, and divide monomials and polynomials to solve multi-step problems. I will demonstrate this by completing a graphic organizer and by solving problems in a pair activity.

  3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section ______ 3) Section ______ WkBk. Problems_________Notes Copiedon blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

  4. Storm Check (Think, Write, Discuss, Report)Questions on which to ponder and answer: How are the two images similar? How are they different? How can these two images be related to math? IMAGE 1 IMAGE 2 http://mathdl.maa.org/mathDL/47/?pa=content&sa=viewDocument&nodeId=3781&bodyId=4055

  5. Notes:

  6. Vocabulary Monomial Polynomial Degree Number • Teacher says the word. • ALL Students repeat the word. • Teacher counts out syllables ass/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.

  7. Sketch Friendly Definition Sentence Wordwork • 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 • Physical Representation Word List Vocabulary Acquisition • 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 • DAY 3 and/or DAY 4 • 1. Review the word • Friendly Definition • Physical Representation • 2. Show how the word works • Synonyms/antonym • Word Problems • Relatedwords/phrases • Example/non-example

  8. Example 5 Multiple Choice Practice x2 x2 x2 x2 – – – – 2x 4x 4x 2x – + – + 3 3 13 13 ( ) ( ) 4x2 – 3x + 5 – 3x2 – x – 8 =

  9. Example 5 Multiple Choice Practice x2 x2 x2 x2 x2 – – – – – 4x 2x 4x 2x 2x + + – + – 3 13 13 13 3 ( ) 5 + 8 SOLUTION ( ) ( ) 4x2 – 3x + 5 – 3x2 – x – 8 4x2 – 3x + 5 – 3x2 + x + 8 = ) ( ) ( – + 3x + x + 4x2 – 3x2 = = ANSWER The correct answer is C. ( ) ( ) 4x2 – 3x + 5 – 3x2 – x – 8 =

  10. Storm Check (Think, Write, Discuss, Report) What problem solving strategy did you use to get your answer? The problem solving strategy I used to get my answer was _________________________ _______________________________________.

  11. Example 6 Solve a multi-step problem BASEBALL ATTENDANCE Major League Baseball teams are divided into two leagues. During the period 1995–2001, the attendance N and A (in thousands) at National and American League baseball games, respectively, can be modeled by – = 488t2 + 5430t + 24,700and N – = 318t2 + 3040t + 25,600 A where t is the number of years since 1995. About how many people attended Major League Baseball games in 2001?

  12. Example 6 Solve a multi-step problem With tas the number of years since 1995, about how many people attended Major League Baseball games in 2001? – = 488t2 + 5430t + 24,700and N – = 318t2 + 3040t + 25,600 A

  13. ( ) ( ) – = – 488t2 + 5430t + 24,700 + 318t2 + 3040t + 25,600 M ( ) ( ) ( ) – – = 488t2 + 5430t + 318t2 3040t + 24,700 + 25,600 – = 806t2 + 8470t + 50,300 STEP 2 Substitute 6 for t in the model, because 2001 is 6 years after 1995. ( ) ( )2 – = 806 + 8470 6 + 50,300 ≈ 72,100 M 6 Example 6 Solve a multi-step problem SOLUTION STEP 1 Add the models for the attendance in each league to find a model for M, the total attendance (in thousands). (In thousands) ANSWER About 72,100,000 people attended Major League Baseball games in 2001.

  14. Guided Practice for Examples 5 and 6 ( ) ( ). – – 4x2 5x2 + 4x 9 – 7x 6. Find the difference

  15. Guided Practice for Examples 5 and 6 ( ) ( ). ANSWER – – 4x2 5x2 + 4x 9 – 7x – x2 – 11x + 9 6. Find the difference

  16. Learning Target By the end of the period, I will add, subtract, multiply, and divide monomials and polynomials to solve multi-step problems. I will demonstrate this by completing a graphic organizer and by solving problems in a pair activity.

  17. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section ______ 3) Section ______ WkBk. Problems_________Notes Copiedon blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

  18. Ticket OUT.

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