Algebra 1 Common Core Student Edition, Grade 8-9

Pu l l It A l l T o g e t h e r

Co m p l e t i n g t h e Pe r f o r m a n c e Task

To so l ve t h ese
problems,
you will pull
together many
concep t s and
sk i l l s r el at ed
to expressions,
real-number
properties and
operations, and
equat ions.

L o o k b a c k a t y o u r r e s u lts f r o m th e A p p ly W h a t Y o u ’v e L e a r n e d s e c tio n s i n L e s s o n s 1 - 1 ,1 - 7 ,

and 1-8. Use the w ork you did to com plete the following.

1. S o lv e t h e p r o b le m i n th e T a s k D e s c r ip t io n o n p a g e 3 b y d e t e r m in in g t h e n u m b e r o f
   a th le te s th e s c h o o l w i l l b e a b le to h o n o r o n t h e w a lk o f fa m e. S h o w a ll y o u r w o r k a n d
   explain each step of your solution.


2. Reflect C h o o s e o n e o f t h e M a t h e m a t ic a l P r a c tic e s b e lo w a n d e x p la in h o w y o u
   a p p lie d i t i n y o u r w o r k o n t h e P e r f o r m a n c e T a sk.
   MP 2: Reason abstractly and quantitatively.
   M P 4: M o d e l w i t h m a th e m a tic s.
   M P 7: L o o k f o r a n d m a k e u s e o f s tr u c tu r e.

On Yo u r Ow n

C liv e s u g g e s ts a d if f e r e n t d e s ig n f o r th e w a lk o f fa m e. I n h is d e s ig n , th e w a lk w a y is m a d e

u p o f t ile s a n d g r o u n d - c o v e r p la n ts. T h e g r o u n d - c o v e r p la n t s a re p la n t e d i n th e p a t t e r n

s h o w n b e lo w. I n th e p a t t e r n , n is th e n u m b e r o f n a m e s o n e a c h s id e o f th e w a lk. T h e

g r o u n d - c o v e r p la n t s a re r e p r e s e n te d b y th e c r o s s - s h a p e d f ig u r e s b e t w e e n t h e tile s.

lya'

mb qttqb

n= 1 n= 2

p —iii—if—if

□pppp

pe| pe| |w^e|

n= 3

E a c h g r o u n d - c o v e r p la n t c o s ts $2. A s b e fo r e , i n s c r ib e d t ile s c o s t $ 1 5 e a c h a n d p la i n tile s

c o s t $5 e a c h. C liv e 's t o t a l b u d g e t f o r t h e t ile s a n d p la n t s is th e s a m e as N a o m i’s ($ 5 0 0 ).

a. W r it e a n e x p r e s s io n t h a t r e p r e s e n ts th e n u m b e r o f p la n t s w h e n t h e r e a re n n a m e s o n

each side o f the w alk. Then, w rite and sim plify an expression for the cost o f the plants.

b. H o w m a n y a th le te s w i l l t h e s c h o o l b e a b le t o h o n o r i f C liv e 's d e s ig n is u s e d?

f Ifl iAWJllifWH« ) | Chapter 1 Pull It A ll Together^67

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