Scat

ter

P

lots

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Course 3

Course 3

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8.SP.1

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yrig

ht ©

McG

raw

-Hill

Edu

catio

n. P

erm

issi

on is

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nted

to r

epro

duce

for

clas

sroo

m u

se.

Course 3 • Countdown • 2 Weeks 49

Program: SBAC Component: Count Down 1

PDF PassVendor: MPS Grade: Course 3

Countdown: 2 Weeks1. Yasmin records the number of miles driven and the number

of gallons of gas used on her road trip.

Distance (mi) 50 90 140 180 200

Gas Used (gal) 2 3 6 8 9

Part A: Construct a scatter plot of the data.

Part B: What patterns do you see in the data? What conclusion can you draw?

2. A map is shown on a coordinate plane, where each square represents one square mile. The school is located at (–3, –5). The bus barn is located at (2, 1). Select whether each statement is true or false.

True False

You can make a right triangle by adding a point at (2, –5) or (–3, 1).

The school is approximately 7.8 miles from the bus barn.

The buses can travel only along the grid lines. The distance that the bus must travel from the school to the bus barn is almost twice the distance that the school is from the barn along a straight line.

The exact distance between the school and the bus barn is √

__ 51 miles.

40 80 120 160 200

321

456

Ga

s U

sed

(g

al)

789

10

Distance (mi)

0

y

x

y

xO 4 62-2-4-6

-2

-4

-6

2

4

6

School

Bus Barn

Think Smart for SBAC On the actual test, you might be asked to click the appropriate box for each statement. In this book, you will be asked to shade in the boxes instead.

049-050_SBAC_A_C3_CD02_793945.indd 49049-050_SBAC_A_C3_CD02_793945.indd 49 11/24/14 11:58 AM11/24/14 11:58 AM

8.G.5

8.SP.2

8.SP.4

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McG

raw-H

ill Education. Permission is granted to reproduce for classroom

use.

50 Course 3 • Countdown • 2 Weeks

Program: SBAC Component: Count Down 1

PDF PassVendor: MPS Grade: Course 3

3. Complete the sentences.

The sum of the angles in a triangle is always the same: m∠1 + m∠2 +

m∠3 = . The sum m∠ + m∠3 = 180° because these

angles are . Because the angle sums are the

same, you can write an equation with these expressions equal to each

other. Subtract m∠ from each side to get m∠1 + m∠2 = m∠ .

So, for any exterior angle of a triangle, its measure is equal to the sum

of the interior angles.

4. The length of time it takes Carlita to run a lap depends on the number of laps she has already completed.

Part A: Draw a line of best fit on the scatter plot. .

Part B: Write the equation of your line of best fit. How fast can she run her first lap before she runs any other laps? After how many laps will it take her 14 minutes to run a lap? Justify your answer.

5. Two basketball teams play a total of 44 games. No game can end in a tie. The Lions won 13 games. There were a total of 15 losses, and the Tigers won twice as many games as they lost.

Part A: Complete the two-way table.

Part B: Select all of the conclusions that are valid about the data.

The Tigers played 4 more games than the Lions.

The relative frequency of winning in the Lions’ column is 0.45.

The relative frequency of the Tigers losing by row is 0.20 greater than the relative frequency of their losing by column.

The Tigers played about 55% of the total number of games.

2

1 3 4

A B D

C

1 2 3 4 5 6 7 8 9 10

321

456

Tim

e (

min

)

789

101112

Number of Laps Already Run

0

y

x

Lions Tigers Total

Wins 13

Losses 15

Total

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Cou

ntdo

wn

Cop

yrig

ht ©

The

McG

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-Hill

Com

pani

es, I

nc. P

erm

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epro

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8.SP

.1

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.8

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

Cou

rse

3 •

Cou

ntdo

wn

• 2

Wee

ks

49

Cou

ntdo

wn:

2 W

eeks

1.

Yasm

in r

ecor

ds th

e nu

mbe

r of

mile

s dr

iven

and

the

num

ber

of g

allo

ns o

f gas

use

d on

her

roa

d tr

ip.

Dis

tanc

e (m

i)5

09

014

018

020

0

Gas

Use

d (g

al)

23

68

9

Par

t A

: C

onst

ruct

a s

catte

r pl

ot o

f the

dat

a.

Par

t B

: W

hat p

atte

rns

do y

ou s

ee in

the

data

? W

hat

conc

lusi

on c

an y

ou d

raw

?

2.

A m

ap is

sho

wn

on a

coo

rdin

ate

plan

e, w

here

eac

h sq

uare

re

pres

ents

one

squ

are

mile

. The

sch

ool i

s lo

cate

d at

(–

3, –

5).

The

bus

barn

is lo

cate

d at

(2, 1

). Se

lect

whe

ther

ea

ch s

tate

men

t is

true

or

fals

e.

Tr

ue

Fals

e

Yo

u ca

n m

ake

a rig

ht tr

iang

le b

y ad

ding

a p

oint

at

(2, –

5) o

r (–

3, 1

).

Th

e sc

hool

is a

ppro

xim

atel

y 7.

8 m

iles

from

the

bus

barn

.

Th

e bu

ses

can

trav

el o

nly

alon

g th

e gr

id li

nes.

Th

e di

stan

ce th

at th

e bu

s m

ust t

rave

l fro

m th

e sc

hool

to th

e bu

s ba

rn is

alm

ost t

wic

e th

e di

stan

ce th

at th

e sc

hool

is fr

om th

e ba

rn a

long

a

stra

ight

line

.

Th

e ex

act d

ista

nce

betw

een

the

scho

ol a

nd th

e bu

s ba

rn is

√ __

51

mile

s.

4080

120

160

200

3 2 1456

Gas Used (gal)

78910

Dis

tan

ce (

mi)

0

y

x

y

xO

46

2-

2-

4-

6

-2

-4

-6246

Scho

ol

Bus

Barn

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 th

e ap

prop

riate

box

for e

ach

stat

emen

t. In

this

boo

k, y

ou

will

be

aske

d to

sha

de in

the

boxe

s in

stea

d.

a po

sitiv

e lin

ear

asso

ciat

ion;

Sam

ple

answ

er: A

s th

e di

stan

ce in

crea

ses,

mor

e ga

s is

use

d.

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.2

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.4

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

50

C

ours

e 3

• C

ount

dow

n •

2 W

eeks

3.

Com

plet

e th

e se

nten

ces.

Th

e su

m o

f the

ang

les

in a

tria

ngle

is a

lway

s th

e sa

me:

m∠

1 + m∠

2 +

m∠

3 =

. The

sum

m∠

+ m∠

3 =

180

° bec

ause

thes

e

an

gles

are

. B

ecau

se th

e an

gle

sum

s ar

e th

e

sa

me,

you

can

writ

e an

equ

atio

n w

ith th

ese

expr

essi

ons

equa

l to

each

ot

her.

Subt

ract

m∠

from

eac

h si

de to

get

m∠

1 + m∠

2 = m∠

.

So

, for

any

ext

erio

r an

gle

of a

tria

ngle

, its

mea

sure

is e

qual

to th

e su

m

of

the

inte

rior

angl

es.

4.

The

leng

th o

f tim

e it

take

s C

arlit

a to

run

a la

p de

pend

s on

the

num

ber

of la

ps s

he h

as a

lread

y co

mpl

eted

.

Par

t A

: D

raw

a li

ne o

f bes

t fit

on th

e sc

atte

r pl

ot.

A s

ampl

e lin

e is

sho

wn.

Par

t B

: W

rite

the

equa

tion

of y

our

line

of b

est f

it. H

ow fa

st

can

she

run

her

first

lap

befo

re s

he r

uns

any

othe

r la

ps?

Afte

r ho

w m

any

laps

will

it ta

ke h

er 1

4 m

inut

es to

run

a la

p?

Just

ify y

our

answ

er.

5.

Two

bask

etba

ll te

ams

play

a to

tal o

f 44

gam

es.

No

gam

e ca

n en

d in

a ti

e. T

he L

ions

won

13

gam

es. T

here

wer

e a

tota

l of 1

5 lo

sses

, an

d th

e Ti

gers

won

twic

e as

man

y ga

mes

as

they

lost

.

Par

t A

: C

ompl

ete

the

two-

way

tabl

e.

Par

t B

: Se

lect

all

of th

e co

nclu

sion

s th

at a

re v

alid

abo

ut th

e da

ta.

The

Tige

rs p

laye

d 4

mor

e ga

mes

than

the

Lion

s.

The

rela

tive

freq

uenc

y of

win

ning

in th

e Li

ons’

col

umn

is 0

.45

.

The

rela

tive

freq

uenc

y of

the

Tige

rs lo

sing

by

row

is 0

.20

gre

ater

th

an th

e re

lativ

e fr

eque

ncy

of th

eir

losi

ng b

y co

lum

n.

The

Tige

rs p

laye

d ab

out 5

5%

of t

he to

tal n

umbe

r of

gam

es.

2

13

4

AB

D

C

12

34

56

78

910

3 2 1456

Time (min)

789101112

Nu

mb

er

of

La

ps

Alr

ea

dy

Ru

n

0

y

x

Lion

sTi

gers

Tota

l

Win

s13

Loss

es15

Tota

l

Sam

ple

answ

er: y

= 2

x +

3; f

irst

lap:

3 m

in,

beca

use

it is

the

y-in

terc

ept;

7 la

ps,

subs

titut

e 17

for

y a

nd s

olve

for

x.

180

º supp

lem

enta

ry

rem

ote

4

43

7 20

24816

29 44

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_A_C

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PDF PassVendor: MPS Grade: Course 3

Course 3 • Countdown 189

Countdown: 2 Weeks

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