dot plots, grades 3-5 - region 4 education service … conference presentations...(b) organize a...

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Dot Plots, Grades 3-5

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©20

13 T

exas

Edu

catio

n Ag

ency

. All

Rig

hts

Res

erve

d 20

13

Intr

oduc

tion

to th

e Re

vise

d M

athe

mat

ics T

EKS:

Ver

tical

Alig

nmen

t Cha

rt K

inde

rgar

ten

– Gr

ade

6 36

Kind

erga

rten

G

rade

1

Gra

de 2

G

rade

3

Gra

de 4

G

rade

5

Gra

de 6

Re

pres

entin

g Da

ta

(8)

Data

ana

lysis

. The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

colle

ct a

nd

orga

nize

dat

a to

mak

e it

usef

ul fo

r int

erpr

etin

g in

form

atio

n. T

he st

uden

t is

expe

cted

to:

(8)

Data

ana

lysis

. The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

orga

nize

dat

a to

mak

e it

usef

ul fo

r in

terp

retin

g in

form

atio

n an

d so

lvin

g pr

oble

ms.

The

st

uden

t is e

xpec

ted

to:

(10)

Dat

a an

alys

is. T

he

stud

ent a

pplie

s m

athe

mat

ical

pro

cess

st

anda

rds t

o or

gani

ze d

ata

to m

ake

it us

eful

for

inte

rpre

ting

info

rmat

ion

and

solv

ing

prob

lem

s. T

he

stud

ent i

s exp

ecte

d to

:

(8)

Data

ana

lysis

. The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

solv

e pr

oble

ms

by c

olle

ctin

g, o

rgan

izing

, di

spla

ying

, and

inte

rpre

ting

data

. The

stud

ent i

s ex

pect

ed to

:

(9)

Data

ana

lysis

. The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

solv

e pr

oble

ms

by c

olle

ctin

g, o

rgan

izing

, di

spla

ying

, and

inte

rpre

ting

data

. The

stud

ent i

s ex

pect

ed to

:

9) D

ata

anal

ysis.

The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

solv

e pr

oble

ms

by c

olle

ctin

g, o

rgan

izing

, di

spla

ying

, and

inte

rpre

ting

data

. The

stud

ent i

s ex

pect

ed to

:

(12)

Mea

sure

men

t and

da

ta. T

he st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

use

num

eric

al

or g

raph

ical

repr

esen

tatio

ns

to a

naly

ze p

robl

ems.

The

st

uden

t is e

xpec

ted

to:

(A)

colle

ct, s

ort,

and

orga

nize

dat

a in

to tw

o or

th

ree

cate

gorie

s.

(A)

colle

ct, s

ort,

and

orga

nize

dat

a in

up

to th

ree

cate

gorie

s usin

g m

odel

s/re

pres

enta

tions

su

ch a

s tal

ly m

arks

or T

-ch

arts

.

(A)

expl

ain

that

the

leng

th

of a

bar

in a

bar

gra

ph o

r th

e nu

mbe

r of p

ictu

res i

n a

pict

ogra

ph re

pres

ents

the

num

ber o

f dat

a po

ints

for a

gi

ven

cate

gory

.

(B)

use

data

to c

reat

e re

al-

obje

ct a

nd p

ictu

re g

raph

s.

(B)

use

data

to c

reat

e pi

ctur

e an

d ba

r-ty

pe g

raph

s.

(B)

orga

nize

a c

olle

ctio

n of

da

ta w

ith u

p to

four

ca

tego

ries

usin

g pi

ctog

raph

s and

bar

gr

aphs

with

inte

rval

s of o

ne

or m

ore.

(A)

sum

mar

ize a

dat

a se

t w

ith m

ultip

le c

ateg

orie

s us

ing

a fr

eque

ncy

tabl

e, d

ot

plot

, pic

togr

aph,

or b

ar

grap

h w

ith sc

aled

inte

rval

s.

(A)

repr

esen

t dat

a on

a

freq

uenc

y ta

ble,

dot

plo

t, or

st

em-a

nd-le

af p

lot m

arke

d w

ith w

hole

num

bers

and

fr

actio

ns.

(A) r

epre

sent

cat

egor

ical

da

ta w

ith b

ar g

raph

s or

freq

uenc

y ta

bles

and

nu

mer

ical

dat

a, in

clud

ing

data

sets

of m

easu

rem

ents

in

frac

tions

or d

ecim

als,

w

ith d

ot p

lots

or s

tem

-and

-le

af p

lots

.

(A) r

epre

sent

num

eric

dat

a gr

aphi

cally

, inc

ludi

ng d

ot

plot

s, st

em-a

nd-le

af p

lots

, hi

stog

ram

s, a

nd b

ox p

lots

.

(B

) rep

rese

nt d

iscre

te

paire

d da

ta o

n a

scat

terp

lot.

©20

13 T

exas

Edu

catio

n Ag

ency

. All

Rig

hts

Res

erve

d 20

13

Intr

oduc

tion

to th

e Re

vise

d M

athe

mat

ics T

EKS:

Ver

tical

Alig

nmen

t Cha

rt K

inde

rgar

ten

– Gr

ade

6 37

Kind

erga

rten

G

rade

1

Gra

de 2

G

rade

3

Gra

de 4

G

rade

5

Gra

de 6

Dr

awin

g Co

nclu

sion

s and

Sol

ving

Pro

blem

s Usi

ng R

epre

sent

atio

ns o

f Dat

a (8

) Da

ta a

naly

sis. T

he

stud

ent a

pplie

s m

athe

mat

ical

pro

cess

st

anda

rds t

o co

llect

and

or

gani

ze d

ata

to m

ake

it us

eful

for i

nter

pret

ing

info

rmat

ion.

The

stud

ent i

s ex

pect

ed to

:

(8)

Data

ana

lysis

. The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

orga

nize

dat

a to

mak

e it

usef

ul fo

r in

terp

retin

g in

form

atio

n an

d so

lvin

g pr

oble

ms.

The

st

uden

t is e

xpec

ted

to:

(10)

Dat

a an

alys

is. T

he

stud

ent a

pplie

s m

athe

mat

ical

pro

cess

st

anda

rds t

o or

gani

ze d

ata

to m

ake

it us

eful

for

inte

rpre

ting

info

rmat

ion

and

solv

ing

prob

lem

s. T

he

stud

ent i

s exp

ecte

d to

:

(8)

Data

ana

lysis

. The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

solv

e pr

oble

ms

by c

olle

ctin

g, o

rgan

izing

, di

spla

ying

, and

inte

rpre

ting

data

. The

stud

ent i

s ex

pect

ed to

:

(9)

Data

ana

lysis

. The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

solv

e pr

oble

ms

by c

olle

ctin

g, o

rgan

izing

, di

spla

ying

, and

inte

rpre

ting

data

. The

stud

ent i

s ex

pect

ed to

:

9) D

ata

anal

ysis.

The

st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

solv

e pr

oble

ms

by c

olle

ctin

g, o

rgan

izing

, di

spla

ying

, and

inte

rpre

ting

data

. The

stud

ent i

s ex

pect

ed to

:

(13)

Mea

sure

men

t and

da

ta. T

he st

uden

t app

lies

mat

hem

atic

al p

roce

ss

stan

dard

s to

use

num

eric

al

or g

raph

ical

repr

esen

tatio

ns

to so

lve

prob

lem

s. T

he

stud

ent i

s exp

ecte

d to

:

(C)

draw

con

clus

ions

from

re

al-o

bjec

t and

pic

ture

gr

aphs

.

(C)

draw

con

clus

ions

and

ge

nera

te a

nd a

nsw

er

ques

tions

usin

g in

form

atio

n fr

om p

ictu

re a

nd b

ar-t

ype

grap

hs.

(D)

draw

con

clus

ions

and

m

ake

pred

ictio

ns fr

om

info

rmat

ion

in a

gra

ph.

(A) i

nter

pret

num

eric

dat

a su

mm

arize

d in

dot

plo

ts,

stem

-and

-leaf

plo

ts,

hist

ogra

ms,

and

box

plo

ts.

(C)

writ

e an

d so

lve

one-

step

wor

d pr

oble

ms

invo

lvin

g ad

ditio

n or

su

btra

ctio

n us

ing

data

re

pres

ente

d w

ithin

pic

togr

aphs

and

bar

gr

aphs

with

inte

rval

s of o

ne.

(B)

solv

e on

e- a

nd tw

o-st

ep

prob

lem

s usin

g ca

tego

rical

da

ta re

pres

ente

d w

ith a

fr

eque

ncy

tabl

e, d

ot p

lot,

pict

ogra

ph, o

r bar

gra

ph

with

scal

ed in

terv

als.

(B)

solv

e on

e- a

nd tw

o-st

ep

prob

lem

s usin

g da

ta in

w

hole

num

ber,

deci

mal

, an

d fr

actio

n fo

rm in

a

freq

uenc

y ta

ble,

dot

plo

t, or

st

em-a

nd-le

af p

lot.

(C) s

olve

one

- and

two-

step

pr

oble

ms u

sing

data

from

a

freq

uenc

y ta

ble,

dot

plo

t, ba

r gra

ph, s

tem

-and

-leaf

pl

ot, o

r sca

tter

plot

.

(B) d

istin

guish

bet

wee

n sit

uatio

ns th

at y

ield

dat

a w

ith a

nd w

ithou

t var

iabi

lity.

Dot Plot: Which item would you like in the school store?

Skate Board Kindle Fire Movie Tickets Schlitterbahn

Tickets Chuck-e Cheese’s

Gift Card

Key: =

Creating a Frequency Table:

Item Tally Frequency

Skate Board:

Kindle Fire:

Movie Tickets:

Schlitterbahn Tickets:

Chuck-e Cheese’s Gift Card:

What questions could we ask regarding the data in this dot plot?

Skate Board

Kindle Fire

Movie Tickets

Schlitterbahn Tickets

Chuck-E-Cheese’s

Gift Card

Student Name: _____________________________ Date: ________________

© Region 4 Education Service Center Engaging Mathematics, Volume II: Grade 3 All rights reserved. Preproduction Copy

Which Graph Fits? Cut apart the Statement Cards. Use the dot plots below to determine where to place each of the cards in the Venn diagram. Attach the cards when you have found the correct placement. Mr. Johnson’s Class

Ms. Rivera’s Class

Key = 1 student

Favorite Color

Red Blue Green Orange Purple

Key = 2 students

Favorite Color

Red Blue Green Orange Purple



Which Graph Fits?

Communicating about Mathematics Write an additional statement to describe data from one or both graphs.

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

Mr. Johnson’s Class Mrs. Rivera’s Class


Statement Cards Cut along the bold dotted lines. Eight sets of cards are provided.

Four students voted for orange.

The total number of students voting is 20.

Three more students voted for blue than green.

Twice as many students voted for red than purple.































Ice Cream Comparisons Mary Beth, Antonio, and Jamal each used the dot plot shown below to answer the question that follows. Circle the student who solved the problem correctly. Explain why he or she used the equation shown to determine the solution.

How many more students like chocolate, vanilla, or strawberry than cookies ‘n cream and rocky road?

Mary Beth Antonio Jamal

240 – 210 = 30 9 – 7 = 2 270 – 210 = 60

Key = 30 students

Favorite Ice Cream Flavor

Chocolate Vanilla Strawberry Cookies Rocky ‘n Cream Road

Communicating about Mathematics Choose an incorrect solution from above and explain why the student’s work was incorrect.

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________

________________________________________________________


© Region 4 Education Service Center Grade 4 All rights reserved.

The Missing Dots Dilemma Jacob started the dot plot below for this team project; however he was not able to complete it. Use sticky dots and the data to complete his dot plot below.

Number of Blocks Stacked Number of Students 20 |||| 21 |||| 22 || 23 |||| | 24 ||||

Number of Blocks Stacked per Student

20 22 24

Key: = 2 students



Class Shoe Size – Part A Each student in Mr. Garcia’s morning class and afternoon class recorded the length of his or her foot. The dot plot shows the foot lengths in the two classes.

Student Foot Length (Inches)

Key: =1 student

Statement Circle One Justify your answer.

1 Only one student’s foot was 162

inches. True

False

2 Eight students had a foot that is 9 inches or longer.

True

False

3 The number of students with feet that

measured 172

inches is twice as many as

the number of students with feet that measured 7 inches.

True

False

4 A new student joins Mr. Garcia’s class. His foot measures 172

inches.

• Using a colored pencil, add this data to the dot plot above. • Answer each question again using the same colored pencil.

162

1102

172

192

182



Class Shoe Size – Part B Each student in Mr. Garcia’s morning class and afternoon class recorded the length of his or her foot. The dot plot shows the foot lengths in the two classes.

Student Foot Length (Inches)

Key: =2 students

Statement Circle One Justify your answer.

1 Only one student’s foot was 162

inches. True

False

2 Eight students had a foot that is 9 inches or longer.

True

False

3 The number of students with feet that

measured 172

inches is twice as many as

the number of students with feet that measured 7 inches.

True

False

4 A new student joins Mr. Garcia’s class. His foot measures 172

inches.

• Using a colored pencil, add this data to the dot plot above. • Answer each question again using the same colored pencil.

162

1102

172

192

182



Data and Dot Plots The table below shows the amount of money collected in dollars during a fundraiser by students in Ms. Henry’s class. Use the data to complete the dot plot.

54.00 51.50 52.00 50.00 52.50

55.00 54.50 52.50 54.50 54.00

53.00 54.00 54.00 53.00 55.00

52.50 53.50 53.50 54.50 53.00

51.00 52.00 52.00 52.50 53.00

Fundraiser Collection Amounts

Key: = 1 student

50 51 52 53 54 55



Number of Songs Downloaded The fifth-graders at Highland Elementary School created the dot plot below to represent the number of songs downloaded last month by each student.

Number of Songs Downloaded by Each Student

Key: = 2 students Use the dot plot to answer the questions below.

1 What was the most common number of songs downloaded?

2 What fraction of the students downloaded more than 30 songs?

3 How many more students downloaded 25 to 30 songs than downloaded 15 to 20 songs?

4 If each song cost $1.50, how much money was spent by the six students who downloaded the most songs?

Explain how each of the answers above would change if a dot represented only one student, instead of two students.

15

20

25

30

35

dot plots, grades 3-5 - region 4 education service … conference presentations...(b) organize a...

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