Scavenger Hunt - Big Ideas Learning€¦ · Scavenger Hunt Student Directions Group 3 Sketch a rectangular prism. ” 1 min Your first card will look like this. Materials: • Lined

®

© Big Ideas Learning, LLC

Materials: • Student directions (one for each group) • Group 1 (cylinder)

• Group 2 (rectangular pyramid)• Group 3 (rectangular prism)• Group 4 (hexagonal pyramid)• Group 5 (triangular pyramid)• Group 6 (pentagonal prism)• Group 7 (triangular prism)• Group 8 (cone)

• Review cards (Fold each card vertically so the crease is on the right. Then fold each card horizontally so the crease is on the top.)

• 8 sets (one for each group)• 2 decoy sets

• Solution I (the last solution, which is the same for all groups) • Lined paper • Calculators

Directions: Divide the students into 8 groups. The students will work in these groups to solve 9 problems.

As the students work, be sure each student shows all work on lined paper. The fi rst question is on the directions page. From there, the students are able to fi nd the next card based on the answer. Once they have checked their answer, they can solve the next problem. The solid assigned to each group from the directions page will appear on each solution for that group. In each group, there should be a time keeper, messenger and a researcher. The time keeper watches the clock to make sure the group fi nishes the problem within the time given on the card. It is also their job to keep the group on task. The messenger is responsible for retrieving the next card and checking the group’s solution on the card. Each student is responsible for showing all work on lined paper. The researcher is responsible for looking up how to solve the problem if the students cannot fi gure it out as a group. The activity is complete when each group has completed all questions correctly. If the students solve the problems within the time limit given on each card, this activity should take about 30 minutes.

Scavenger Hunt

Back

Front

Opened card

Your next card will look like this.

Big Ideas Math®

Game Closet

Back-to-School Review Game Blue

Objectives: This is a back-to-school review game. Use it before you start the Blue Book. The student will • identify a given solid.

• construct a stem-and-leaf plot.• write and solve a proportion.• evaluate an expression involving exponents and absolute value.• write and solve a two-step equation.• graph two points and fi nd the slope of the line.• write and simplify an expression involving fractions.• convert between systems of measurement and calculate the surface area of a solid.• graph fi gures in a coordinate plane and determine which two fi gures are similar.

®

© Big Ideas Learning, LLC

Materials: • Lined paper • Review cards • Calculators

Directions: Decide who in the group will be the researcher, timekeeper, and messenger. There are Key Ideas on the

back of each card, but if your group gets stuck, the researcher is responsible for looking in a book to help your group fi nd the solution. The timekeeper makes sure that your group fi nds the solution in the time limit given. Once each group member has shown all work on the lined paper, and arrived at the same solution, the messenger retrieves the next card by using your group’s solution. Once you have completed all the cards, your group is fi nished!

Start by solving the problem below.

Scavenger HuntStudent Directions

Group 1

Sketch a cylinder.

“Name these shapes.”

1min

Your first card will look like this.

Big Ideas Math®

Game Closet


Group 2

Sketch a rectangular pyramid.


1min






Big Ideas Math®

Game Closet


Group 3

Sketch a rectangular prism.


1min






Big Ideas Math®

Game Closet


Group 4

Sketch a hexagonal pyramid.


1min






Big Ideas Math®

Game Closet


Group 5

Sketch a triangular pyramid.


1min






Big Ideas Math®

Game Closet


Group 6

Sketch a pentagonal prism.


1min






Big Ideas Math®

Game Closet


Group 7

Sketch a triangular prism.


1min






Big Ideas Math®

Game Closet


Group 8

Sketch a cone.


1min






Big Ideas Math®

Game Closet

Solu

tion:

A cylin

der is a

solid th

at h

as tw

o para

llel,

congru

ent circu

lar ba

ses. S

o, the solid

show

n is a

cylind

er.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

th

is solid. If you

do

not se

e a

cylind

er,

go ba

ck and

try again

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

204516

142512

52031

34189

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 4

5, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $3

7.50

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

8 ticke

ts cost.

3min


Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4

5 9

2 4 6 8

0 0 5

1 4

5

Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

3

8 =

5 Cross Products Property

3

00

=Multiply.

6

0 =

Divide.

It costs $6

0 for 8

tickets to th

e m

ovies.

when x =

- 3 a

nd

y = 1.

3min


Rem

ind

er

$60.00

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

37.5

0

5

x8

Solu

tion:

Substitu

te - 3

for x and

1 for y. Then sim

plify.

x2 —

| y — 2 | +

—

= (- 3

)2 —

| 1 — 2 | +

—

= 9

— | -1 | +

(-4)

= 9

— 1 +

(-4)

= 9

+ (-1) +

(-4)

= 4

The pe

rimete

r of the tra

pezoid

is 40

.

What is th

e va

lue of x?

4min


x 5 x 3

x + 5x + 5

Rem

ind

er

4

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

12x12- 3

Solu

tion:

P

= S

um

of side le

ngth

s

40

= (x +

5) +

3x + (x +

5) +

5x

40

= 10x +

10 —

10

— 10

3

0 =

10x

30

= 10x

10

10

3

= x

The va

lue of x is 3

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

(4, 6

). Then fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

3

Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

What is th

e d

iffere

nce

of 1— a

nd

- 3—

?

2min


Rem

ind

er

2 3

Key Id

eas

ad

d its o

pposite

.

LC

D

.

45

310

——

—.

yx46

23

23

y

x2

4

2 4 6

-2-4

Solu

tion:

1— —

( - 3—)

= 1—

+ 3

—

= —

+ —

= —

+ —

= —

= 5

—

The d

iffere

nce

is 5—

.

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 105

45

310

45

310

9551

10

110

110

3310

18103

310

15.24 cm

1 in. ≈ 2.54 cm

9 in.

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 15

.24 ce

ntim

ete

rs to inch

es.

15.24

cm x —

≈ 6 in

.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(6)

2 + 2

(6)(9

)

= 72

+ 10

8

= 18

0

≈

56

5.2 in

. 2

The su

rface

are

a is a

bout 5

65.2 sq

uare

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min

Congratulations!Once you have checked

the solution with your teacher,

your group is all done!

565.2 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

A re

ctangula

r pyram

id is a

solid th

at h

as

one re

ctangula

r base

and

four tria

ngula

r

late

ral fa

ces. S

o, the solid

show

n is a

recta

ngula

r pyram

id.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

this

solid. If you

do n

ot see

a re

ctangula

r pyram

id,

go ba

ck and

try again

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

26456

14621

52019

34349

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 4

5, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $3

7.50

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

3 ticke

ts cost.

3min


Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4

5 6 6 9

4 9

0 1 6

4 4

5

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

3

3 =


112

.5 =

Multiply.

22

.5 =

Divide.

It costs $22

.50

for 3 ticke

ts to the m

ovies.

when x =

2 and

y = -1.

3min


Rem

ind

er

$22.50

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

37.5

0

5

x3

Solu

tion:

Substitu

te 2 for x a

nd

-1 for y. Then sim

plify.

x2 —

| y — 2 | +

—

= 2

2 — | -1 —

2 | + —

= 4

— | - 3

| + 6

= 4

— 3

+ 6

= 4

+ (- 3

) + 6

= 7

The pe

rimete

r of the tra

pezoid

is 30

.

What is th

e va

lue of x?

4min


x 5 x 3

x + 5x + 5

Rem

ind

er

7

12x122

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

Solu

tion:

P

= S

um

of side le

ngth

s

3

0 =

(x + 5

) + 3x +

(x + 5

) + 5x

3

0 =

10x + 10

— 10

—

10

20

= 10x

20

= 10x

10

10

2 =

xTh

e va

lue of x is 2

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

(0, 3

). Then fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

2

Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

What is th

e d

iffere

nce

of 1— a

nd

-2—?

2min


Rem

ind

er

1 2

Key Id

eas

ad

d its o

pposite

.

LC

D

.

45310

— —

.

yx12

12

y

x2

4

2 4 6

-2-4

3

Solu

tion:

1— —

( -2—) = 1—

+ 2—

= —

+ —

= —

+ —

= —

= 4

—

The d

iffere

nce

is 4—

.

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 104

45

310

45

310

1 31041

10

110

110

145

1 310

2810

17.78 cm

1 in. ≈ 2.54 cm

9 in.

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 17.78

centim

ete

rs to inch

es.

17.78 cm

x — ≈ 7 in

.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(7)

2 + 2

(7)(9

)

= 9

8 +

126

= 224

≈

703

.4 in

. 2

The su

rface

are

a is a

bout 70

3.4

square

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min




703.4 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

A re

ctangula

r prism

is a solid

that h

as tw

o para

llel,

congru

ent re

ctangula

r base

s. Th

e oth

er fa

ces a

re

para

llelog

ram

s. S

o , the solid

show

n is a

recta

ngula

r prism.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

this

solid. If you

do n

ot see

a re

ctangula

r prism,

go ba

ck and

try again

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

74539

142713

52045

34229

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 4

5, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $3

7.50

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

9 ticke

ts cost.

3min


Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4

5 7 9

3 4

0 2 7

4 9

5 5

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

3

9 =


3

37.5

=Multiply.

6

7.5 =

Divide.

It costs $6

7.50

for 9 ticke

ts to the m

ovies.

when x =

3 a

nd

y = -1.

3min


Rem

ind

er

$67.50

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

37.5

0

5

x9

Solu

tion:

Substitu

te 3 for x a

nd

-1 for y. Then sim

plify.

x2 —

| y — 2 | +

—

= 3

2 — | -1 —

2 | + —

= 9

— | - 3

| + 4

= 9

— 3

+ 4

= 9

+ (- 3

) + 4

= 10

The pe

rimete

r of the tra

pezoid

is 60

.

What is th

e va

lue of x?

4min


x 5 x 3

x + 5x + 5

Rem

ind

er

10

12x123

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

Solu

tion:

P

= S

um

of side le

ngth

s

6

0 =

(x + 5

) + 3x +

(x + 5

) + 5x

6

0 =

10x + 10

— 10

—

10

5

0 =

10x

50

= 10x

10

10

5

= x

The va

lue of x is 5

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

(1, 2). Then fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

5

Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

What is th

e d

iffere

nce

of 1— a

nd

3—

?

2min


Rem

ind

er

0

Key Id

eas

ad

d its o

pposite

.

LC

D

.

45310

—

0yx

03

y

x2

4

2 4 6

-2-4

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 2-1

12.7 cm

1 in. ≈ 2.54 cm

9 in.

Solu

tion:

1— —

3—

= 1—

+ ( - 3

—) = —

+ ( -—

) = —

+ ( -—

) = -—

= -1—

The d

iffere

nce

is -1—.

45

310

4595

310

1810151012

12

3310

3310

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 12

.7 centim

ete

rs to inch

es.

12.7 cm

x — ≈ 5

in.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(5)

2 + 2

(5)(9

)

= 5

0 +

90

= 14

0

≈

43

9.6

in. 2

The su

rface

are

a is a

bout 4

39

.6 sq

uare

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min




439.6 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

A h

exa

gon

al pyra

mid

is a solid

that h

as on

e

hexa

gon

al ba

se a

nd

six triangula

r late

ral fa

ces.

So, th

e solid

show

n is a

hexa

gon

al pyra

mid

.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

this

solid. If you

do n

ot see

a h

exa

gon

al pyra

mid

, go ba

ck and

try again

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

364534

142716

52034

34419

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 4

5, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $3

7.50

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

6 ticke

ts cost.

3min


Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4

5 9

4 6

0 7

4 4 4 6

1 5

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

3

6 =


225

=Multiply.

45

=Divide.

It costs $45

for 6 ticke

ts to the m

ovies.

when x =

-2 and

y = 1.

3min


Rem

ind

er

$45.00

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

37.5

0

5

x6

Solu

tion:

Substitu

te -2 for x and

1 for y. Then sim

plify.

x2 —

| y — 2 | +

—

= (-2)

2 — | 1 —

2 | + —

= 4

— | -1 | +

(-6)

= 4

— 1 +

(-6)

= 4

+ (-1) +

(-6)

= - 3

The pe

rimete

r of the tra

pezoid

is 100

.

What is th

e va

lue of x?

4min


x 5 x 3

x + 5x + 5

Rem

ind

er

-3

12x12-2

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

Solu

tion:

P

= S

um

of side le

ngth

s

10

0 =

(x + 5

) + 3x +

(x + 5

) + 5x

10

0 =

10x + 10

—

10

— 10

9

0 =

10x

90

= 10x

10

10

9

= x

The va

lue of x is 9

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

( 3, 0

). Then fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

9

Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

What is th

e d

iffere

nce

of -1— a

nd

2—?

2min


Rem

ind

er

Key Id

eas

ad

d its o

pposite

.

LC

D

.

45310

—

-—.

yx-25

25

y

x2

4

2 4 6

-2-4

( 3

2 5–

Solu

tion:

-1— —

2—

= -1—

+ ( -2—)

= -—

+ ( -—

) = -—

+ ( -—

) = -—

= -4

—

The d

iffere

nce

is -4—

.

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 10-4

45

310

45

310

1 31041

10

110

110

145

1 310

2810

20.32 cm

1 in. ≈ 2.54 cm

9 in.

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 20

. 32 ce

ntim

ete

rs to inch

es.

20. 3

2 cm x —

≈ 8 in

.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(8)

2 + 2

(8)(9

)

= 128

+ 14

4

= 272

≈

85

4.1 in

. 2

The su

rface

are

a is a

bout 8

54.1 sq

uare

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min




854.1 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

A tria

ngula

r pyram

id is a

solid th

at h

as on

e

triangula

r base

and

thre

e tria

ngula

r late

ral fa

ces.

So, th

e solid

show

n is a

triangula

r pyram

id.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

this

solid. If you

do n

ot see

a tria

ngula

r pyram

id,

go ba

ck and

try again

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

94560

144924

52031

63179

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 6

3, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $41.25

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

8 ticke

ts cost.

3min


Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4 5 6

5 9 9

4 7

0 4

1 5 9

0 3

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

41.25

8 =


3

30

=Multiply.

6

6 =

Divide.

It costs $6

6 for 8

tickets to th

e m

ovies.

when x =

1 and

y = - 3

.

3min


Rem

ind

er

$66.00

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

41.25

5

x8

Solu

tion:

Substitu

te 1 for x and

- 3 for y. Th

en sim

plify.

x2 —

| y — 2 | +

—

= 1

2 — | (- 3

) — 2 | +

—

= 1 —

| -5 | +

12

= 1 —

5 +

12

= 1 +

(-5) +

12

= 8

The pe

rimete

r of the tra

pezoid

is 42.

What is th

e va

lue of x?

4min


x 5 x 2

x + 3x + 3

Rem

ind

er

8

12x121

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

Solu

tion:

P

= S

um

of side le

ngth

s

42 =

(x + 3

) + 2x +

(x + 3

) + 5x

42 =

9x + 6

— 6

—

6

3

6 =

9x

36

= 9x

9

9

4 =

xTh

e va

lue of x is 4

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

(1, -1). Then fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

4

Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

2min


Rem

ind

er

Key Id

eas

oppos

ite

LC

D

.

.

yx33

y

x4

2 4 6

-1

—3—

453

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 2115.24 cm

1 in. ≈ 2.54 cm

8 in.

Solu

tion:

-1— —

( - 3—)

= -1—

+ 3

—

= -—

+ —

= -—

+ —

= —

= 1—

The d

iffere

nce

is 1—.

45

310

4595

310

1810

151012

12

3310

3310

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 15

.24 ce

ntim

ete

rs to inch

es.

15.24

cm x —

≈ 6 in

.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(6)

2 + 2

(6)(8

)

= 72

+ 9

6

= 16

8

≈

527.5

in. 2

The su

rface

are

a is a

bout 5

27.5 sq

uare

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min




527.5 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

A pe

nta

gon

al pris

m is a

solid th

at h

as tw

o para

llel,

congru

ent pe

nta

gon

al ba

ses. Th

e oth

er fa

ces a

re

para

llelog

ram

s. S

o, the solid

show

n is a

penta

gon

al prism

.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

this

solid. If you

do n

ot see

a pe

nta

gon

al prism

, go

back a

nd

try again

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

84535

143117

52031

63489

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 6

3, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $41.25

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

3 ticke

ts cost.

3min


Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4 5 6

5 8 9

4 7

0 1 1 5

5 8

3

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

41.25

3 =


12

3.75

=Multiply.

24

.75 =

Divide.

It costs $24

.75 for 3

tickets to th

e m

ovies.

when x =

-1 and

y = 2

.

3min


Rem

ind

er

$24.75

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

41.25

5

x3

Solu

tion:

Substitu

te -1 for x and

2 for y. Then sim

plify.

x2 —

| y — 2 | +

—

= (-1)

2 — | 2 —

2 | + —

= 1 —

| 0 | +

(-12)

= 1 —

0 +

(-12)

= 1 +

(-12)

= -11

The pe

rimete

r of the tra

pezoid

is 78.

What is th

e va

lue of x?

4min


x 5 x 2

x + 3x + 3

Rem

ind

er

-11

12x12-1

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

Solu

tion:

P

= S

um

of side le

ngth

s

78

= (x +

3) +

2x + (x +

3) +

5x

78 =

9x + 6

— 6

—

6

72 =

9x

72 = 9x

9

9

8

= x

The va

lue of x is 8

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

(0, -2). Th

en fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

8

Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

2min


Rem

ind

er

Key Id

eas

oppos

ite

LC

D

.

.

yx4

y

x4

4

-2

—— 45

7

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 2-4

17.78 cm

1 in. ≈ 2.54 cm

8 in.

Solu

tion:

-1— —

2—

= -1—

+ ( -2—)

= -—

+ ( -—

) = -—

+ ( -—

) = -—

= -4

—

The d

iffere

nce

is -4—

.

45710

45710

17104510

12

12

145

1710

2810

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 17.78

centim

ete

rs to inch

es.

17.78 cm

x — ≈ 7 in

.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(7)

2 + 2

(7)(8

)

= 9

8 +

112

= 210

≈

65

9.4

in. 2

The su

rface

are

a is a

bout 6

59

.4 sq

uare

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min




659.4 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

A tria

ngula

r prism

is a solid

that h

as tw

o para

llel,

congru

ent tria

ngula

r base

s. Th

e oth

er fa

ces a

re

para

llelog

ram

s. S

o, the solid

show

n is a

an tria

ngula

r prism.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

this

solid. If you

do n

ot see

a tria

ngula

r prism, g

o ba

ck and

try again

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

334560

144315

52031

6359

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 6

3, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $41.25

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

4 ticke

ts cost.

3min


Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4 5 6

5 5 9

4 5

0 1 3

3 5

0 3

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

41.25

4 =


16

5 =

Multiply.

3

3 =

Divide.

It costs $3

3 for 4

tickets to th

e m

ovies.

when x =

-1 and

y = 3

.

3min


Rem

ind

er

$33.00

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

41.25

5

x4

Solu

tion:

Substitu

te -1 for x and

3 for y. Th

en sim

plify.

x2 —

| y — 2 | +

—

= (-1)

2 — | 3

— 2 | +

—

= 1 —

| 1 | + (-12)

= 1 —

1 + (-12)

= 1 +

(-1) + (-12)

= -12

The pe

rimete

r of the tra

pezoid

is 60

.

What is th

e va

lue of x?

4min


x 5 x 2

x + 3x + 3

Rem

ind

er

-12

12x12-1

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

Solu

tion:

P

= S

um

of side le

ngth

s

6

0 =

(x + 3

) + 2x +

(x + 3

) + 5x

6

0 =

9x + 6

— 6

—

6

5

4 =

9x

54 =

9x

9

9

6

= x

The va

lue of x is 6

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

(1, 1). Then fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

6

Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

2min


Rem

ind

er

Key Id

eas

oppos

ite

LC

D

.

—

-—.

yx-13

13

y

x4

2

2-2 4

-2-4

1 3

—3—

45310

-

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 10-5

22.86 cm

1 in. ≈ 2.54 cm

6 in.

Solu

tion:

-1— —

3—

= -1—

+ ( - 3

—)

= -—

+ ( -—

) = -—

+ ( -—

) = -—

= -5

—

The d

iffere

nce

is -5—

.

45

310

45

310

9551

10

110

110

3310

1810

3310

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 22

.86

centim

ete

rs to inch

es.

22.8

6 cm

x — ≈ 9

in.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(9)

2 + 2

(9)(6

)

= 16

2 +

108

= 270

≈

847.8

in. 2

The su

rface

are

a is a

bout 8

47.8

square

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min




847.8 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

A con

e is a

solid th

at h

as on

e circu

lar ba

se

and

one ve

rtex. S

o, the solid

show

n is a

cone.

Make

a ste

m-a

nd

-leaf plot of th

e n

um

ber

of songs d

ownloa

ded

.

4min


Each

card

for your

grou

p shou

ld h

ave

this

solid. If you

do n

ot see

a con

e, g

o back a

nd

try a

gain

.

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Songs Downloaded

414527

14615

52031

63159

Rem

ind

er

Solu

tion:

To make

a ste

m-a

nd

-leaf plot:

1.) O

rder th

e d

ata

.

2.) C

hoose

the ste

ms a

nd

the le

ave

s. B

eca

use

the

data

valu

es ra

nge from

5 to 6

3, u

se th

e tens d

igits

for the ste

ms a

nd

the ones d

igits for th

e le

ave

s.

3

.) Write

the ste

ms to th

e left of th

e ve

rtical lin

e.

4.) W

rite th

e le

ave

s for each

stem

to the right

of the ve

rtical lin

e.

5.) C

reate

a title

and

a ke

y.

It costs $41.25

for 5 ticke

ts to the m

ovies.

Write

and

solve a

proportion to d

ete

rmin

e

how

much

9 ticke

ts cost.

3min


Key Id

eas

propo

rtion is a

n e

quation

sta

ting th

at tw

o ratios a

re

equiva

lent.

th

e M

ultiplica

tion P

rope

rty

of E

quality or th

e C

ross

P

roducts

Pro

perty.

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4 5 6

5 5 9

4 5

0 7

1 1 5

1 3

Solu

tion:

Write

and

solve a

proportion.

—

= —

dollars

tickets

41.25

9 =


3

71.25 =

Multiply.

74

.25 =

Divide.

It costs $74

.25 for 9

tickets to th

e m

ovies.

when x =

1 and

y = -2

.

3min


Rem

ind

er

$74.25

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

x2 —

| y — 2 | +

— 12x

41.25

5

x9

Solu

tion:

Substitu

te 1 for x and

-2 for y. Then sim

plify.

x2 —

| y — 2 | +

—

= 1

2 — | -2 —

2 | + —

= 1 —

| -4| +

12

= 1 —

4 +

12

= 1 +

(-4) +

12

= 9

The pe

rimete

r of the tra

pezoid

is 96

.

What is th

e va

lue of x?

4min


x 5 x 2

x + 3x + 3

Rem

ind

er

9

12x121

Key Id

eas

perim

ete

r of a fig

ure

is th

e su

m of th

e sid

e le

ngth

s.

Solvin

g a

n e

quation

1. C

ombin

e like

term

s.

2. U

nd

o ad

dition

and

subtra

ction.

3

. Und

o multiplica

tion a

nd

d

ivision.

Solu

tion:

P

= S

um

of side le

ngth

s

9

6 =

(x + 3

) + 2x +

(x + 3

) + 5x

9

6 =

9x + 6

— 6

—

6

9

0 =

9x

90

= 9x

9

9

10

= x

The va

lue of x is 10

.

Gra

ph th

e lin

e th

at pa

sses th

rough th

e tw

o points

(-2, 2) and

( 3, 4

). Then fin

d th

e slope

of the lin

e.

3min


Rem

ind

er

10Key Id

eas

ord

ere

d pa

ir (x, y) is a pa

ir of

num

bers th

at is u

sed

to locate

a

poin

t in a

coordin

ate

plane.

Slo

pe is th

e ra

te of ch

ange

be

tween a

ny tw

o points on

a lin

e.

To find

the slope

of a lin

e, fin

d

th

e ra

tio of the ve

rtical ch

ange

to th

e h

orizonta

l change.

Solu

tion:

2min


Rem

ind

er

Key Id

eas

oppos

ite

LC

D

.

—

—.

yx25

25

y

x4

2

2-2 4

-2-4

3

2 5

—— 45

7

Fin

d th

e su

rface

are

a of th

e cylin

der in

square

inch

es. R

ound

your a

nsw

er to th

e n

eare

st tenth

.

5min


Rem

ind

er

1 24

12.7 cm

1 in. ≈ 2.54 cm

6 in.

Solu

tion:

1— —

( -2—) = 1—

+ 2—

= —

+ —

= —

+ —

= —

= 4

—

The d

iffere

nce

is 4—

.

45710

45710

17104510

12

12

145

1710

2810

Key Id

ea

The su

rface

are

a of a

cylind

er is th

e

sum

of the a

reas of th

e ba

ses a

nd

the

late

ral su

rface

.

Surfa

ce A

rea: S

= 2

r2 +

2rh

r

h

Base

Lateral surface

rr

h

Base

r2

Solu

tion:

First, con

vert 12

.7 centim

ete

rs to inch

es.

12.7 cm

x — ≈ 5

in.

Then, fin

d th

e su

rface

are

a.

S =

2r

2 + 2

rh

= 2

(5)

2 + 2

(5)(6

)

= 5

0 +

60

= 110

≈

345.4

in. 2

The su

rface

are

a is a

bout 3

45.4

square

inch

es.

In a

coordin

ate

plane, d

raw

the fig

ure

s with

the g

iven

vertice

s. W

hich

figure

s are

simila

r? Expla

in you

r reason

ing

.

5min




345.4 in.2

1 in.

2.54 cm

Rem

ind

er

Key Id

eas

sh

ape

but n

ot nece

ssarily th

e

sa

me size

are

calle

d s

imila

r

fig

ure

s.

sim

ilar if

corre

spond

ing sid

e le

ngth

s are

proportion

al, a

nd

correspon

din

g

angle

s have

the sa

me m

easu

re.

Triangle A: (0, 0), (9, 0), (0, 9)

Triangle B: (0, 0), (6, 0), (0, 9)

Triangle C: (0, 0), (6, 0), (0, 6)

Solu

tion:

Triangle

s A a

nd

C a

re sim

ilar be

cause

correspon

din

g sid

e le

ngth

s are

proportional a

nd

correspon

din

g a

ngle

s have

the sa

me m

easu

re

Triangle

A

— =

— =

199

Leg 1 of A

Leg 2 of A

y

x2

46

8

2 4 6 8

(0, 0

)

(0, 9

)

(9, 0

)

Triangle

B

— =

— =

—69

23

Leg 1 of B

Leg 2 of B

y

x2

46

8

2 4 6 8

(0, 0

)

(0, 9

)

(6, 0

)

Triangle

C

— =

— =

166

Leg 1 of C

Leg 2 of C

y

x2

46

8

2 4 6 8

(0, 0

)

(0, 6

)

(6, 0

)

Key Id

ea

A s

tem

-and

-leaf plot

use

s the d

igits of d

ata

valu

es to org

anize

a d

ata

set. E

ach

data

valu

e is

broken in

to a ste

m (d

igit

or dig

its on th

e le

ft) and

a le

af (d

igit or d

igits on

the rig

ht).

Rem

ind

er

Rem

ind

er

Key:

1 | 4

= 1

4 s

ongs

Songs Downloaded

Stem

Leaf

0 1 2 3 4

5 8 8 9

2 4 5 8

0 1 4

5

Key Id

eas

propo

rtion

Multiplica

tion P

rope

rty

of E

quality

Cros

s

P

roducts

Pro

perty

Rem

ind

er

$7.50

Key Id

ea

Use

the o

rder o

f

ope

ration

s w

hen

eva

luatin

g a

n

expre

ssion.

Rem

ind

er

12

Key Id

eas

perim

ete

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Scavenger Hunt - Big Ideas Learning€¦ · Scavenger Hunt Student Directions Group 3 Sketch a rectangular prism. ” 1 min Your first card will look like this. Materials: • Lined