Exploring Patterns. IWORKSHEET 11 Name. For each pattern, follow these instructions: Function. step 10. units: units: units:
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1 IWORKSHEET Name _ Explorig Patters For each patter, follow these istructios:. Study the patter your teacher has provided.. Build step 4.. Make a sketch of step 4 ad step 5. How may uits make up each step? 4. Use the patter you discover to sketch step 0. How may uits make up step O? S. Describe ay umber patters you otice. 6. Suggest other ways to describe how this patter grows. Fuctio step 4 step 5 step 0 uits: uits: uits: What patters do you otice? _ Ca you suggest other ways this patter might grow? Fuctio step 4 step 5 step 0 uits: uits: uits: What patters do you otice? ---, _ Ca you suggest other ways this patter might grow? _ Copyright 00 Key Curriculum Press / The Patter ad Fuctio Coectio 5
2 WORKSHEET (Cotiued) step 4 step 5 step 0 uits: uits: uits: What patters do you otice? Ca you suggest other ways this patter might grow? Fuctio step 4 step 5 step 0 uits: uits: uits: What patters do you otice? _ Ca you suggest other ways this patter might grow? Fuctio step 4 step 5 step 0 uits: uits: uits: What patters do you otice? _ Ca you suggest other ways this patter might grow? ( 6 The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
3 IHOM~WORK ] Explorig Patters For each patter, sketch steps 4 ad 5. The predict how may uits would be i step 0. Describe the patter. Fuctio. Cout the toothpicks. = f L I. I ees I - "'..., 5 4 ] How may would be i step 0? How is the patter chagig or growig? Fuctioit. Cout the toothpicks. ~ I ~~ I\I~"I 4 5 How may would be i step 0? How is the patter chagig or growig? I Fuctio. Cout the toothpicks. "'" " =- == " 5 4 How may would be i step 0? How is the patter chagig or growig? I Copyright 00 Key Curriculum Press/ The Patter ad Fuctio Coectio 7
4 HOMEWORK (Cotiued) Ftmctio 4. Cout the toothpicks. IJ II I,---4 ~II~S How may would be i step 0? How is the patter chagig or growig? _ Fuctio 5. Cout the tiles., '-----5_I How may would be i step 0? How is the patter chagig or growig? _ Fuctio 6. Cout the tiles. _4 5 How may would be i step 0? How is the patter chagig or growig? ----_ (. 8 The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
5 HOMEWORK (Cotiued) Fid the ext three umbers i each patter. The fid step 0. Describe i words how the patter is chagig. Fudio 7. step 4 S 6 0 result 8 6 Describe the patter. Fuctio 8. step 4 'S 6 0 result 7 5 Describe the patter. Fuctio 9. step result 8 8 Describe the patter. Fuctio 0. step 4 S 6 0 result 5 Describe the patter. Fuctio. step 4 S 6 0 result S 9 Describe the patter. Copyright 00 Key Curriculum Press/ The Patter ad Fuctio Coectio 9
6 HOMEWORK (Cotiued) furildeofl] 0 step :~ 4 5 () 0 result S7 6:~ 69 Describe the patter. Fuctio. step 4 S 6 0 result Describe the patter. Fuctio 4. step result Describe the patter. Fuctio 5. step result Describe the patter. Fuctio 6. step result 4 8 Describe the patter. ( r 0 The Patter ad Fuctio Coectio / Copyright 00 Key Curriculum Press
7 lworksheet J Name Graphig Fuctios Fuctio Fuctio Fuctio fe) 7 fe) 7 fe) fe) Fuctio Fuctio Fuctio fe) fe) fe) fe) The Patter ad Fuctio Coectio / Copyright 00 Key Curriculum Press
8 [ffomework ~ Nale ~ _ Graphig Fuctios Costruct a T-table for each of these fuctios from Homework : Explorig Patters. The graph each fuctio o the grid. Determie the value of the fuctio at step 0 ad put this i the table too. Fuctio Fuctio!fuctio fe) fe) fe) fe) Fuctio 4 Fuctio 5 Fuctio 6 fe) fe) fe) Copyright 00 Key Curriculum Press / The Patter ad Fuctio Coectio 9
9 HOMEWORK (Cotiued) Costruct a Tvtablc for each of these fuctios from Homework : Explorig Patters. The graph each fuctio Oil the grid. Determie the value of the fuctio at step 0 ad put this i the table too. Fum::Uo Fuctio Fuctio (II) (() () fe) Fuctio 4 fuctio 5 Fuctio 6 fe) fe) fe) SO The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
10 fe) ~ I fe) o 7 6 The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
11 WORKSHEET Name Workig Backward Below are te fuctios ad six pictures. Below each pictorial represetatio, write the letter of the matchig fuctio. O the back of this sheet, desig a pictorial represetatio for the four fuctios that are ot pictured. Label them with their fuctios. a. fe) = 4 - b. fe) = + c. fe) = + d. fe) = 4 +.~~~~~~ ~~~. +.:.:.:.: e. fe) = + f. fe) = g. fc) = + 6 h. fe) = 6-5 i. fe) = 6 - j. fe) = 6 +. cout squares. cout circles. cout toothpicks +.:.:.+ Fuctio -- Fuctio Fuctio cout squares 5. cout hexagos 6. cout squares II Fuctio Fuctio ~ Fuctio Copyright 00 Key Curriculum Press / The Patter ad Fuctio Coectio
12 IHOMEWORK 4] N~re.. _ Workig Backward Below arc ie fuctios. For each oe, desig a pictorial represetatio ad show three steps. Use polygos, lies, toothpicks, dots, or other shapes. Be creative.. (() = +. (7) =. ((II) = (() = 4 5. (() = (() = S + 7. f( ) = + 8. fe) = + 9. f( ) = - (,.. The Patter ad Fuctio Coectio / Copyright 00 Key Curriculum Press
13 f() o fe) Copyright 00 Key Curriculum Press I The Patter ad Fuctio Coectio 7
14 [WORKSHEET 5] Name Advaced Fuctios Fuctio Fuctio Fuctio fe) fe) fe) fe) , Fuctio Fuctio Fuctio fe) fe) fe) ' ' 8 The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
15 [HOMEWORK 5J Advaced Fuctios Fill i a T-table for each fuctio below. The graph the fuctio. Write the fuctio's expressio i the bottom of the table. Fucthm ') fuctso : fe) II fe) m fe) II 0 0 z z z rllilili 7 7 Fuctio Fuctio 4 fe) fe) Copyright 00 Key Curriculum Press / The Patter ad Fuctio Coectio. 9
16 HOMEWORK 5 (Cotiued) Fill i a T-table for each fuctio below. The graph the fuctio. Write the fuctio's expressio i the bottom of the table. fe) Fuctio 5 fuctio 6 fe) I a a. 7 I.II.B. 7 fe) Fuctio 7 Fuctio 8 fe).. JlIIII 0 III a II II II fe) 7 II 7 40 The Patter ad Fuctio Coectio f Copyright 00 KeyCurriculum Press
17 HOMEWORK 5 (Cotiued) Fill i a J-table for each fuctio below. The graph the fuctio. Write the fuctio's expressio i the bottom of the table. f() Ft!lctso 9 lfuctio 0 fe) ri fe) II 0 0 II..,.. II..,.. It 7 7 Fuctio Fuctio 5.7 fe) fe) Copyright 00 Key Curriculum Press I The Patter ad Fuctio Coectio 4
18 ," Rady already has $ 70 i his savigs accout. He will add $40 per moth. How much moey will he have? A) How much moey will he have after the first five moths? 5) How much moey will he have after the teth moth? c) How much moey will he have after the eighteeth moth?. Agela already has $0 i her savigs accout. She will add $5 per moth. How may moths will it take before she ad Rady have the same amout of moey i their accouts? How much will each of them have?. Rady wats to kow whe he will have at least $,000. Fid a way to determie this for him. 4. Agela fids she has exactly $,0. How may moths has she bee savig? Copyright 00 Key Curriculum PressI The Patter ad Fuctio Coectio 49
19 I HOMEWORK ] Name Bakig o Algebra. Derek has $75 i his savigs accout. He will add $5 every moth. Use this T-table to show how Derek's accout will grow. Write a expressio or formula ad make a graph below. Derek's Accout moth o 4 5 I pricipal. Rosa has $06 i her savigs accout. She will add $4 every moth. Use this T-table to show how Rosa's accout will grow. Write a expressio or formula ad make a graph below. Rosa's Accout moth pricipal o 4 5 I. Whe will Derek have $ 700? _ 4. Whe will Rosa ad Derek have the same amout of moey? _ 5. How much moey will they each have the? _ (m) $800 ~ $700 $600 - ~ $ u I: $ ~ $00 What scale has bee used for the horizotal axis? Oe uit = _ What scale has bee used for the vertical axis? Oe uit = _ $00 $00 0 ttti~tt~~~t±~~±t~=tt±~~lm Moths 50 The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
20 HOMEWORK 7 (Cotiued) 6. Sa wats to buy a bicycle for $95. He curretly has $7 i his accout. If he adds $7 each moth, whe will he have eough moey for the bike? _ Sa's Accout moth pricipal o 4 5 m. Keisha wats the same bike that Sa wats. If she already has $5 i her accout, ad she adds $6 per moth, ca she buy her bike before Sa ca buy his? _ Keisha's Accout moth o m pricipal Graph the fuctio for problems 6 ad 7 o this grid. Choose a scale that allows the data to fit. Label each fuctio o the graph with its formula. f(m) What scale did you use for the horizotal axis? Oe uit = ---- What scale did you use for the vertical axis? Oe uit = _ ~ v... q I-< p... Moths Copyright 00 Key Curriculum Press / The Patter ad Fuctio Coectio Sl
21 HOMEWORK 7 (Cotiued) 8. Chris has $9 i the bak. He adds $ to it each moth. lie wats to buy a bike that costs $45. Every moth the bike's prlce is reduced by $0. Ilow may moths will it take for Chris to afford the bike? _ Chris's Accout Bike Sale moth pricipal moth bike price 0 0 $45 $ Graph the fuctio for problem 8 o this grid. Choose a scale that allows the data to fit. Label each fuctio o the graph with its formula. rem) What scale did you Use for the horizotal axis? Oe uit = _ What scale did you use for the vertical axis? Oe uit = _ Moths 5 The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
22 Schedule of Rates M Tu W Th F Sa Su 8 AM-S PM D D Em 5 PM-II PM... file] file]... EEl... D D PM-8 AM D D D D D D D Day F::: : : : : :... Eveig D Night From:. st add'i. st add'i. st add'i. Reddig mi. mi. mi. mi. mi. mi. To: Alturas $0. $0.07 $0.09 $0.06 $0.07 $0.04 Challege Millville Oroville Red Bluff Copyright 00 Key Curriculum Press / The Patter ad Fuctio Coectio 57
23 I HOMEWORK Bl Name ~ _ The Log-Distace Coectio Schedule of Rates M Tu W Th F Sa Su D D 8AM-S PM PM PM-II [5] E5J [ ill] [5] [5] D D PM-8 AM D D D D D D D Day ffii] Eveig 0 Night From: st add'l. st add'l. st add'l. Reddig mi. mi. mi. mi. mi. mi. To: Alturas $0. $0.07 $0.09 $0.06 $0.07 $0.04 Challege Millville Oroville Red Bluff O.lS Fill i the T-tables to compare the phoe rates of calls from Reddig to Oroville. Day Eveig Night mi. price mi. price mi. price m m m 58 The Patter ad Fuctio Coectio I Copyright 00 Key Curriculum Press
24 HOMEWORK 8 (Cotiued). Fill i the f-tables to compare the phoe rates of calls from Reddig to Red Bluff. Day Eveig Night mi. price mi. price mi. price m m m. Fill i the T-tables to compare the phoe rates of calls from Reddig to Challege. Day Eveig Night mi. price mi. price mi. price m m m Copyright 00 Key Curriculum Press/ The Patter ad Fuctio Coectio S9
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