Lesson 5: Does the Order Matter?

Transcription

1 : Does the Order Mtter? Opeig Activity You will eed: Does the Order Mtter? sortig crds [dpted fro 5E Lesso Pl: Usig Order of Opertios to Evlute d Siplify Expressios, Pt Tyree] 1. Rerrge the crds so they ke sese. Discussio. Whe does the order of ctios tter i th?. Wht kid of th proble hs ultiple steps?. Does order tter i sequeces or c sequece be i y order? Oe wy to reeber the correct order i th expressios is with eoic (eory id) like the oe show i the coic t the right. 5. How does the phrse Plese Excuse My Der Aut Sllie or PEMDAS help with order of opertios? [source: : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.55

2 Sice expoets pper ofte i theticl sequeces d expressios, let s review the expoet rules order of opertios with expoets. Explortory Activity. A. With your prter, fill i the tble below bout expoets d the describe the Product Rule. 7 B. The Product Rule for Expoets: 7. A. With your prter, fill i the tble below bout expoets d the describe the Divisio Rule d Negtive Expoet Rule. 17 B. The Divisio Rule for Expoets: x x C. The Negtive Expoet Rule: x : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.5

3 8. With your prter, fill i the tble below bout expoets d the describe the ptter you see. Expressio with Expoets Siplified Expressio without Expoets A. With your prter, fill i the tble below bout expoets d the describe the Zero Expoet Rule. B. The Zero Expoet Rule: 0 x, x 0. : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.57

4 10. A. With your prter, fill i the tble below bout expoets d the describe the Power of Product or Quotiet Rule. ( ) ( 5 ) ( bc ) 5 ( x ) c B. The Power of Product or Quotiet Rule for Expoets: ( xy ) d x y 11. A. With your prter, fill i the tble below bout expoets d the deterie the Power to Power Rule. ( ) ( 5 ) ( b c ) 5 ( x ) c B. The Power to Power Rule for Expoets: ( x ) : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.58

5 Lesso Sury Rules for Expoets Product Rule Zero Expoet Rule 0, 0 Divisio Rule Power of Product Rule ( b ) Power of Quotiet Rule b Negtive Expoet Rule 1 Power to Power Rule b p p d ( ) b : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.5

6 Hoework Proble Set 1. Thik bout order of opertios to isert pretheses to ke ech stteet true. If you re hvig trouble reeberig the Order of Opertios, wtch the YouTube video by Mth Atics A B C D Siplify ech expressio so tht there re o egtive expoets.. ( xy ) 0. ( ) x. y x 5. 1 ( ) 1 bc b c bc. 7. b p p ( ) p 11. def d e f 1 1. d d d 1. e e ee 7 : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.0

7 Deterie wht iteger c be plced i the blk to ke the stteet true b b b 15. ( b ) b ( b ) b b b 18. Four Nuber Ge: Use the ubers 1,, d o ore th oce for ech proble. You y use y opertios icludig powers d pretheses. You y NOT crete -digit uber (1 & 1). For exple, if the uber ws 10, the we could do y of the followig: or + 10 or A. The uber is 1: B. The uber is 15: C. The uber is 5: D. The uber is : : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.1

8 : Does the Order Mtter? Uit 5: Fuctios & Sequeces S.