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MJ2A

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william-mason
18 diapositives · 293 Views · Oct 31, 2014

MJ2A. Ch 13.2 – Adding Polynomials. Bellwork. Find the degree of each polynomial 38 3y 2 – 2 w 2 + 2x – 3y 3 -7z -17n 2 p – 11np 3. Solutions. 0. 2. 3. 4. Assignment Review. Text p. 671 # 18 – 40. Before we begin…. Please take out your notebook and get ready to work…

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  1. MJ2A Ch 13.2 – Adding Polynomials

  2. Bellwork • Find the degree of each polynomial • 38 • 3y2 – 2 • w2 + 2x – 3y3 -7z • -17n2p – 11np3 Solutions 0 2 3 4

  3. Assignment Review • Text p. 671 # 18 – 40

  4. Before we begin… • Please take out your notebook and get ready to work… • In the last lesson we worked with identifying and classifying polynomials • In today’s lesson we will add polynomials…

  5. Objective 13.2 • Students will add polynomials

  6. Adding Polynomials • Monomials that contain the same variables to the same power are called like terms. • You can add polynomials by combining like terms • There are 2 methods to adding polynomials • Vertically • Horizontally • But first…a look at like terms and unlike terms…

  7. Like Terms 7x and 2x -x2y and 5x2y In each instance they have the same variable raised to the same power Unlike Terms -6a and 7b 4ab2 and 4a2b In the 1st example the terms have different variables In the 2nd example the terms don’t have the same power Like Terms v. Unlike Terms

  8. Adding – Vertical Method • To add using the vertical method line up the terms and then add • Let’s look at an example… • Reminder – the sign in front of the term stays with the term.

  9. Example • Add (3x + 5) + (2x + 1) • Set up the problem like this: Align like terms under each other 3x + 5 + 2x + 1 5x + 6

  10. Adding – Horizontal Method • Add (3x + 5) + (2x + 1) The associative & commutative properties of addition allow you to regroup the terms. (3x+ 5) + (2x+ 1) (3x + 2x) + (5 + 1) 5x+ 6

  11. Comments • This is really easy to do…The key to being successful is to be organized… • Some Strategies… • Vertically – if both sets of polynomials do not have the same amount of terms leave a blank space when setting up the problem • Horizontally – As you group the terms it’s a good idea to circle them…this way you know the terms that you have already grouped

  12. Your Turn • In the notes section of your notebook write the problem and add using the vertical AND horizontal method • (2x2 + x – 7) + (x2 + 3x + 5) • (9c2 + 4c) + (-6c + 8)

  13. Vertically 2x2 + x – 7 x2 + 3x + 5 3x2 + 4x – 2 Your Turn Solution #1 +

  14. Your Turn Solution #1 • Horizontally (2x2+ x– 7) + (x2+ 3x+ 5) (2x2 + x2) + (x + 3x) + (-7 +5) 3x2+ 4x– 2

  15. Vertically 9c2 + 4c -6c + 8 9c2 – 2c + 8 Your Turn Solution #2 Line up like terms +

  16. Your Turn Solution #2 • Horizontally (9c2+ 4c) + (-6c+ 8) (9c2) + (4c – 6c) + (8) 9c2– 2c+ 8

  17. Summary • In the notes section of your notebook summarize the key concepts covered in today’s lesson • Today we discussed • Adding polynomials • What are the 2 methods

  18. Assignment • Text p. 676 # 11 – 22 Reminder • This assignment is due tomorrow • I do not accept late assignments • To may use either method to add the polynomials. However, you must show how you got your answer (no work = no credit)