Scat

ter

P

lots

Go online for more! connectED.mcgraw-hill.com• Question Analysis Charts • Student Scoring Rubrics • Technology-Enhanced Questions • More Performance Tasks!

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k Smart for th

e Smarter Balan

ced Assessm

ent

Course 3

Course 3

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NAME DATE PERIOD SCORE

8.SP.3

8.F.4

8.G.4

Cop

yrig

ht ©

McG

raw

-Hill

Edu

catio

n. P

erm

issi

on is

gra

nted

to r

epro

duce

for

clas

sroo

m u

se.

Course 3 • Countdown • 7 Weeks 39

Program: SBAC Component: Count Down 7

PDF-PassVendor: MPS Grade: Course 3

Countdown: 7 Weeks1. Jeremy takes his heart rate (in beats per minute) after running

on the treadmill for different periods of time. Find and describe the constant rate of change for this function. Find and describe the initial value.

rate of change:

initial value:

2. Carrie creates triangular pendants to be worn as necklaces. Two pendants are shown. Select all of the statements that are true about the pendants.

�ABC � �DEF by the SAS Similarity Theorem.

Since there are two corresponding congruent angles, the third angles in the triangles must also be congruent.

m∠E � m∠B and m∠C � m∠F

By the Angle-Angle Similarity, �ABC ∼ �DEF.

The measure of the third angle in each triangle can be found by subtracting the sum of the given angles from 360º.

3. Members of a book club pay lower prices for individual books and a flat shipping rate. One member graphs how much she spends and draws a line of best fit. Write an equation for the line of best fit. What does the slope represent? What does the y-intercept represent?

Time (min)

Heart Rate(bpm)

4 84

10 108

B

A

C

E

F D33°

102°

45°

45°

21 43 65 87 109

642

81012

To

tal

Co

st (

$)

14161820

Number of Books Purchased

0

y

x

039-040_SBAC_A_C3_CD07_793945.indd 39039-040_SBAC_A_C3_CD07_793945.indd 39 11/19/14 5:14 PM11/19/14 5:14 PM

8.G.3

8.SP.2

Copyright ©

McG

raw-H

ill Education. Permission is granted to reproduce for classroom

use.

40 Course 3 • Countdown • 7 Weeks

Program: SBAC Component: Count Down 7

PDF-PassVendor: MPS Grade: Course 3

4. A road divides the neighborhood park into two parts. Calvin plots one part in a coordinate plane. The part of the park shown is a reflection over the x-axis of the other part.

Part A: Draw the other part of the park.

Part B: Write the coordinates of the vertices of the part that you drew. Then describe the effects of a reflection across the x-axis on the coordinates.

5. The choir started selling CDs of their concerts as a fundraiser in 2008. The table shows the number of CDs sold each year.

Part A: Draw a line of best fit.

Part B: Write the equation of the line of best fit. According to the model, how many CDs were sold in 2008? Predict how many CDs will be sold in 2016. Justify your answer.

y

x42-2

-2

-4

-6

-8

-4-6-8

2

4

6

8

6 8

B′

C′

A′

O

21 43 65 87 109

15010050

200250300N

um

be

r o

f C

Ds

So

ld

350400450500

Years Since 2008

0

y

x

Think Smart for SBAC On the actual test, you might be asked to click a button to graph a line. In this book, you will be asked to draw the line in the coordinate plane.

039-040_SBAC_A_C3_CD07_793945.indd 40039-040_SBAC_A_C3_CD07_793945.indd 40 11/19/14 5:14 PM11/19/14 5:14 PM

Copyright ©

The McG

raw-H

ill Com

panies, Inc. Permission is granted to reproduce for classroom

8.G

.3

8.SP

.2

Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.

40

C

ours

e 3

• C

ount

dow

n •

7 W

eeks

4.

A r

oad

divi

des

the

neig

hbor

hood

par

k in

to tw

o pa

rts.

C

alvi

n pl

ots

one

part

in a

coo

rdin

ate

plan

e. T

he p

art

of th

e pa

rk s

how

n is

a r

efle

ctio

n ov

er th

e x-

axis

of

the

othe

r pa

rt.

Par

t A

: D

raw

the

othe

r pa

rt o

f the

par

k.

Par

t B

: W

rite

the

coor

dina

tes

of th

e ve

rtic

es o

f the

pa

rt th

at y

ou d

rew

. The

n de

scrib

e th

e ef

fect

s of

a

refle

ctio

n ac

ross

the

x-ax

is o

n th

e co

ordi

nate

s.

5.

The

choi

r st

arte

d se

lling

CD

s of

thei

r co

ncer

ts a

s a

fund

rais

er in

20

08.

The

tabl

e sh

ows

the

num

ber

of

CD

s so

ld e

ach

year

.

Par

t A

: D

raw

a li

ne o

f bes

t fit.

Par

t B

: W

rite

the

equa

tion

of th

e lin

e of

bes

t fit.

Acc

ordi

ng

to th

e m

odel

, how

man

y C

Ds

wer

e so

ld in

20

08?

Pre

dict

ho

w m

any

CD

s w

ill b

e so

ld in

20

16. J

ustif

y yo

ur a

nsw

er.

y

x4

2-

2

-2

-4

-6

-8

-4

-6

-8

2468

68

B′ C

′

A′

O 21

43

65

87

109

150

100 50200

250

300

Number of CDs Sold

350

400

450

500

Ye

ars

Sin

ce 2

00

8

0

y

x

Th

ink

Sm

art

fo

r S

BA

C

On

the

actu

al te

st, y

ou m

ight

be

ask

ed to

clic

k a

butto

n to

gr

aph

a lin

e. In

this

book

, you

w

ill be

ask

ed to

dra

w th

e lin

e in

the

coor

dina

te p

lane

.

A(4

, –4)

, B(–

4, –

7), a

nd C

(–3,

–1)

; Th

e y-

coor

dina

te o

f th

e re

flect

ion

is t

he o

ppos

ite o

f th

e in

itial

y-

coor

dina

te, w

hile

the

x-c

oord

inat

es

do n

ot c

hang

e.

A s

ampl

e lin

e of

be

st f

it is

sho

wn.

Sam

ple

answ

er: y

= –

50

x +

50

0; 5

00

CD

s in

20

08

, bec

ause

it is

the

y-in

terc

ept,

whi

ch r

epre

sent

s 0

yea

rs s

ince

20

08

; 10

0 C

Ds

in 2

016

, bec

ause

20

16 is

8 y

ears

af

ter

20

08

, so

subs

titut

e 8

for

x in

to t

he

equa

tion

and

solv

e fo

r y.

039-

040_

SB

AC

_A_C

3_C

D07

_793

945.

indd

40

11/1

9/14

5:

14 P

M

NA

ME

D

ATE

P

ERIO

D

SC

OR

E

8.SP

.3

8.F.

4

8.G

.4

Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.

Cou

rse

3 •

Cou

ntdo

wn

• 7

Wee

ks

39

Cou

ntdo

wn:

7 W

eeks

1.

Jere

my

take

s hi

s he

art r

ate

(in b

eats

per

min

ute)

afte

r ru

nnin

g on

the

trea

dmill

for

diffe

rent

per

iods

of t

ime.

Fin

d an

d de

scrib

e th

e co

nsta

nt r

ate

of c

hang

e fo

r th

is fu

nctio

n. F

ind

and

desc

ribe

the

initi

al v

alue

.

rate

of c

hang

e:

initi

al v

alue

:

2.

Car

rie c

reat

es tr

iang

ular

pen

dant

s to

be

wor

n as

nec

klac

es.

Two

pend

ants

are

sho

wn.

Sel

ect a

ll of

the

stat

emen

ts th

at

are

true

abo

ut th

e pe

ndan

ts.

�A

BC

� �

DEF

by

the

SAS

Sim

ilarit

y Th

eore

m.

Sinc

e th

ere

are

two

corr

espo

ndin

g co

ngru

ent a

ngle

s,

the

third

ang

les

in th

e tr

iang

les

mus

t als

o be

con

grue

nt.

m∠

E �

m∠

B a

nd m

∠C

� m

∠F

By

the

Ang

le-A

ngle

Sim

ilarit

y, �

AB

C ∼

�D

EF.

The

mea

sure

of t

he th

ird a

ngle

in e

ach

tria

ngle

can

be

foun

d by

su

btra

ctin

g th

e su

m o

f the

giv

en a

ngle

s fr

om 3

60

º.

3.

Mem

bers

of a

boo

k cl

ub p

ay lo

wer

pric

es fo

r in

divi

dual

bo

oks

and

a fla

t shi

ppin

g ra

te. O

ne m

embe

r gr

aphs

how

m

uch

she

spen

ds a

nd d

raw

s a

line

of b

est f

it. W

rite

an

equa

tion

for

the

line

of b

est f

it. W

hat d

oes

the

slop

e re

pres

ent?

Wha

t doe

s th

e y-

inte

rcep

t rep

rese

nt?

Tim

e (m

in)

Hea

rt R

ate

(bpm

)

484

1010

8

B

A

C

E

FD

33°

102°

45°

45°

21

43

65

87

109

6 4 281012

Total Cost ($)

14161820

Nu

mb

er

of

Bo

ok

s P

urc

ha

sed

0

y

x

y =

3.5

x +

4; T

he s

lope

rep

rese

nts

the

aver

age

cost

of

a bo

ok, $

3.5

0. T

he

y-in

terc

ept

repr

esen

ts t

he s

hipp

ing

rate

of

$4.

4; F

or e

very

min

ute

he r

uns,

his

he

art

rate

incr

ease

s by

4 b

eats

pe

r m

inut

e.

68

; His

hea

rt r

ate

is 6

8 b

pm

befo

re h

e ru

ns.

039-

040_

SB

AC

_A_C

3_C

D07

_793

945.

indd

39

11/1

9/14

5:

14 P

M

Program: SBAC Component: CD 7

PDF PassVendor: MPS Grade: Course 3

184 Course 3 • Countdown

Countdown: 7 Weeks

183-185_SBAC_A_C3_CD_EM_2-UPS_793945.indd 184183-185_SBAC_A_C3_CD_EM_2-UPS_793945.indd 184 11/25/14 12:03 PM11/25/14 12:03 PM