Scat

ter

P

lots

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

• Smarter Balanced Assessment Item Types

• Countdown to SBAC

• Chapter Tests in SBAC Format

• Chapter Performance Tasks, Rubrics, and Student Work Samples

• Benchmark Tests with Performance Tasks

Think Smart for the Smarter Balanced Assessment

Thin

k Smart for th

e Smarter Balan

ced Assessm

ent

Course 3

Course 3

www.mheonline.com connectED.mcgraw-hill.com

NAME DATE PERIOD SCORE

8.NS.1

8.NS.2

8.EE.2

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.

Program: SBAC Component: Countdown 20

PDF PassVendor: MPS Grade: Course 3

Course 3 • Countdown • 20 Weeks 13

Countdown: 20 Weeks1. A supplier makes rulers that are supposed to be at least

0.78 inch wide. However, the machine that makes the rulers has been having problems. The table shows a sample of eight rulers and their widths. A supervisor states that if at least half of the samples are smaller than the desired width, he will call someone to fix the machine. Explain whether he needs to call. Convert 0.78 to a simplified fraction in your answer.

2. A teacher wants to demonstrate π to her students, so she plans to cut a piece of wood exactly 2π feet in length and show it to them. Explain why she cannot do this. Then give an approximation for how long the piece of wood should be.

Explanation:

Approximate Length:

3. A company makes square poster frames whose sides are integer lengths. Select all of the areas that would satisfy this requirement.

16 ft2

24 ft2

2.5 ft2

4 ft2

1 ft2

36 ft2

48 ft2

Ruler Widths

39 _ 50 inch 26

_ 33 inch

4 _ 5 inch 9 _ 10 inch

76 _ 99 inch 2 _ 3 inch

1 _ 2 inch 7 _ 9 inch

Think Smart for SBAC On the actual test, you might be asked to click all of the correct answer choices. In this book, you will be asked to shade a box next to each correct answer choice.

013-014_SBAC_A_C3_CD20_793945.indd 13013-014_SBAC_A_C3_CD20_793945.indd 13 11/24/14 12:08 PM11/24/14 12:08 PM

8.NS.1

8.EE.5C

opyright © M

cGraw

-Hill Education. Perm

ission is granted to reproduce for classroom use.

Program: SBAC Component: Countdown 20

PDF PassVendor: MPS Grade: Course 3

14 Course 3 • Countdown • 20 Weeks

4. A school has a 20:2 student-teacher ratio.

Part A: Graph a line representing this scenario.

Part B: What is the unit rate? How is it represented in the graph?

5. Veronica and Abdul are having a contest to see who can mow the greater area of lawn over the course of a week. The table shows the amount each person mowed on each day.

Part A: Sort the days into the bin of the person who mowed the greater area that day.

Monday Tuesday

Wednesday Thursday

Friday Saturday

Sunday

Veronica Mowed More Abdul Mowed More

Part B: Who won the contest?

Day Veronica Abdul

Monday 1

_ 2 acre 0.65 acre

Tuesday 1

_ 3 acre 20% of an acre

Wednesday 6

_ 5 acres 1

1

_ 4 acres

Thursday 1 acre 100.5% of an acre

Friday 0.767 acre 19 _ 25 acre

Saturday 33.3% of an acre 1 _ 3 acre

Sunday 0.55 acre 13 _ 25 acre

Think Smart for SBAC On the actual test, you might be asked to drag the days to a bin. In this book, you will be asked to write each day in the space provided.

1 2 3 4 5 6 7 8

15105

202530

Nu

mb

er

of

Stu

de

nts

3540

Number of Teachers

0

Student-Teacher Ratio

y

x

013-014_SBAC_A_C3_CD20_793945.indd 14013-014_SBAC_A_C3_CD20_793945.indd 14 11/24/14 12:08 PM11/24/14 12:08 PM

Cou

ntdo

wn

Cop

yrig

ht ©

The

McG

raw

-Hill

Com

pani

es, I

nc. P

erm

issi

on is

gra

nted

to r

epro

duce

for

clas

sroo

m

NA

ME

D

ATE

P

ERIO

D

SC

OR

E

8.N

S.1

8.N

S.2

8.EE

.2

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

Cou

rse

3 •

Cou

ntdo

wn

• 20

Wee

ks

13

Cou

ntdo

wn:

20

Wee

ks1.

A

sup

plie

r mak

es ru

lers

that

are

sup

pose

d to

be

at le

ast

0.78

inch

wid

e. H

owev

er, t

he m

achi

ne th

at m

akes

the

rule

rs h

as b

een

havi

ng p

robl

ems.

The

tabl

e sh

ows

a sa

mpl

e of

eig

ht ru

lers

and

thei

r wid

ths.

A s

uper

viso

r st

ates

that

if a

t lea

st h

alf o

f the

sam

ples

are

sm

alle

r tha

n th

e de

sire

d w

idth

, he

will

cal

l som

eone

to fi

x th

e m

achi

ne.

Expl

ain

whe

ther

he

need

s to

cal

l. C

onve

rt 0.

78 to

a

sim

plifi

ed fr

actio

n in

you

r ans

wer

.

2.

A te

ache

r w

ants

to d

emon

stra

te π

to h

er s

tude

nts,

so

she

plan

s to

cut

a

piec

e of

woo

d ex

actly

2π

feet

in le

ngth

and

sho

w it

to th

em. E

xpla

in w

hy

she

cann

ot d

o th

is. T

hen

give

an

appr

oxim

atio

n fo

r ho

w lo

ng th

e pi

ece

of

woo

d sh

ould

be.

Expl

anat

ion:

App

roxi

mat

e Le

ngth

:

3.

A c

ompa

ny m

akes

squ

are

post

er fr

ames

who

se s

ides

are

in

tege

r le

ngth

s. S

elec

t all

of th

e ar

eas

that

wou

ld s

atis

fy th

is

requ

irem

ent.

16 ft

2

24 ft

2

2.5

ft2

4 ft2

1 ft2

36 ft

2

48 ft

2

Rul

er W

idth

s

39

_

50

inc

h 26

_

33

inc

h

4 _ 5

inc

h 9

_ 10 i

nch

76

_

99

inc

h 2 _ 3 i

nch

1 _ 2 i

nch

7 _ 9

inc

h

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 al

l of t

he

corr

ect a

nsw

er c

hoic

es. I

n th

is b

ook,

you

will

be

aske

d to

sha

de a

box

nex

t to

each

co

rrec

t ans

wer

cho

ice.

Bec

ause

π is

an

irra

tiona

l num

ber,

it is

a n

onre

peat

ing,

no

nter

min

atin

g nu

mbe

r an

d ca

nnot

be

mea

sure

d ex

actly

.

Sam

ple

answ

er: 6

.28

fee

t

The

repe

atin

g de

cim

al 0

.78

equ

als

78

_

99

= 2

6

_

33 .

The

rule

r w

idth

s 39

_

5

0 ,

76

_

99

,

2 _

3 , 1 _ 2

, an

d 7 _ 9

are

all

less

tha

n th

at. S

o, m

ore

than

hal

f of

the

rul

ers

are

too

smal

l, an

d th

e su

perv

isor

nee

ds t

o ca

ll so

meo

ne t

o fix

the

m

achi

ne.

013-

014_

SB

AC

_A_C

3_C

D20

_793

945.

indd

13

11/2

3/14

5:

17 P

M

8.N

S.1

8.EE

.5

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

14

Cou

rse

3 •

Cou

ntdo

wn

• 20

Wee

ks

4.

A s

choo

l has

a 2

0:2

stu

dent

-tea

cher

rat

io.

Par

t A

: G

raph

a li

ne r

epre

sent

ing

this

sce

nario

.

Par

t B

: W

hat i

s th

e un

it ra

te?

How

is it

rep

rese

nted

in

the

grap

h?

5.

Ver

onic

a an

d A

bdul

are

hav

ing

a co

ntes

t to

see

who

can

mow

the

grea

ter

area

of l

awn

over

the

cour

se o

f a w

eek.

The

tabl

e sh

ows

the

amou

nt e

ach

pers

on m

owed

on

each

day

.

Par

t A

: So

rt th

e da

ys in

to th

e bi

n of

th

e pe

rson

who

mow

ed th

e gr

eate

r ar

ea th

at d

ay.

Mon

day

Tu

esda

y

Wed

nesd

ay

Thur

sday

Frid

ay

Satu

rday

Sund

ay

Ver

onic

a M

owed

Mor

eA

bdul

Mow

ed M

ore

Par

t B

: W

ho w

on th

e co

ntes

t?

Day

Ver

onic

aA

bdul

Mon

day

1 _ 2

acr

e0.

65

acr

e

Tues

day

1 _ 3

acr

e20

% o

f an

acre

Wed

nesd

ay 6

_ 5

acr

es1 1 _ 4

acr

es

Thur

sday

1 ac

re10

0.5

% o

f an

acre

Frid

ay0.

767

acre

19 _

25 a

cre

Satu

rday

33.3

% o

f an

acre

1 _ 3 a

cre

Sund

ay0.

55

acr

e 13

_

25 a

cre

Th

ink

Sm

art

fo

r S

BA

C

On

the

actu

al te

st, y

ou m

ight

be

ask

ed to

dra

g th

e da

ys to

a

bin.

In th

is b

ook,

you

will

be

ask

ed to

writ

e ea

ch d

ay

in th

e sp

ace

prov

ided

.

12

34

56

78

15 10 5202530

Number of Students

3540

Nu

mb

er

of

Te

ach

ers

0

Stu

de

nt-

Te

ach

er

Ra

tio

y

x

10:1

, or

10 s

tude

nts

for

ever

y 1

teac

her;

It is

the

slo

pe o

f th

e lin

e.

Tues

day

Frid

ayS

unda

y

Mon

day

Wed

nesd

ayTh

ursd

ayS

atur

day

Abd

ul

013-

014_

SB

AC

_A_C

3_C

D20

_793

945.

indd

14

11/2

3/14

5:

17 P

M

Program: SBAC Component: CD 20

PDF PassVendor: MPS Grade: Course 3

Course 3 • Countdown 171

Countdown: 20 Weeks

165-172_SBAC_A_C3_EM_2-UPS_793945.indd 171165-172_SBAC_A_C3_EM_2-UPS_793945.indd 171 11/24/14 10:33 AM11/24/14 10:33 AM