Summerboost - IDEA Public Schools

Summerboost
IDEA PUBLIC SCHOOLS
Playbook
future 6th - 8th Graders
NAME: ___________________________________ SCHOOL: ______________________________
Summerboost
IDEA PUBLIC SCHOOLS
Conceptualized and Produced by 2015 IDEA Public Schools ALP Team: Vanessa Barry, Cecilia Gallagher, Renee
Livesay, Alisa Ozuna and Emily Tucker. Advised by IDEA Public Schools Vice President, Elizabet Garza.
SummerBOOST
Dear College Prep Parent,
Summer is a great time for your child to practice what s/he has learned throughout the school year.
There is no better activity for your child than to engage in reading, writing, and math for the summer
months of June and July. Not only will your child discover the joy of being lost in a book, but s/he will
practice the many skills and strategies s/he has learned all year.
Teachers and other educators identify summer learning loss as a major challenge when starting off
the new school year. However, students who read over the summer return to school ready to continue
learning with little or no learning loss. On average, students regress (backslide) one full grade level in
reading if they don’t read over the summer. Imagine all of that hard work and dedication lost.
The good new is that we can work together to change this!
To prepare for this successful change, we ask that you talk to your child and plan together to do the
following over the summer: complete a Power Hour each week day and complete this Playbook.
The Power Hour is simple, your child engages in a minimum of 20 minutes of Reading, 20 minutes of
Writing, and 20 minutes of Math every week day over the summer months.
Finally, this playbook includes a list of public libraries in your area as well as their addresses so you
and your child can visit them to participate in ongoing fun teen activities and check out books.
Sincerely,
Program Innovation T eam
SummerBOOST
Estimado padre de College Prep,
Es una buena idea utilizar parte del verano para que su hijo/a practique lo aprendido a través del año
escolar. No hay mejor actividad para su hijo/a que leer en el verano. Su hijo/a no sólo descubrirá el
gozo de perderse en un libro, sino que también practicará las muchas destrezas y estrategias que ha
aprendido durante todo el año.
Los maestros y otros educadores saben que la pérdida del aprendizaje durante el verano es uno de los
mayores desafíos que enfrentan al empezar el nuevo año escolar. Sin embargo, los alumnos que leen
durante el verano vuelven a la escuela listos para seguir su aprendizaje con poca o ninguna pérdida
del aprendizaje.
!La buena noticia es que juntos podemos cambiar esto!
Para prepararse para este cambio con éxito , le pedimos que hable con su hijo y planificar juntos para
hacer lo siguiente durante el verano : completar un Power Hour cada día de la semana y completar las
actividades en este libro. La hora del poder es simple , su hijo se involucra en un mínimo de 20 minutos
de lectura , a 20 minutos de la escritura, y 20 minutos de matemáticas todos los días de la semana
durante los meses de verano
El libro de jugadas incluye: listas de lecturas requeridas para el ano entrante, diarios de respuestas
abiertas, actividades de matemáticas y más.
Por último, este libro incluye una lista de las bibliotecas públicas en su área, así como direcciones para
que usted y su hijo pueden visitar y participar en actividades para adolescentes en curso sacar libros
Atentamente,
Program Innovation T eam
Summerboost
IDEA PUBLIC SCHOOLS
Table of Contents
READING AND WRITING
Reading Summer Goal Sheet
1
Online Software (URL)
2
Local Library Information
4
College Prep Required English / Language Arts Summer Reading
8
College Prep Required Humanities Summer Reading
9
Power Hour
10
Reader Response Journals
12
MATH
Math Fun Pages
41
Summer boost
Goal sheet
__________
Number of words read:
Number of AR points
to earn
_____ points
Number of books read
_____ books
(if internet access is available)
(if access to the internet is limited)
Completed Writing
Response Journals
_____ journals
1
Online
Software
Name of
software
Grade
Levels
description
URL
log-in
6 - 12
An online reading
program that grows a
student’s independent
reading abilities.
www.portal.
achieve3000.com/index
Same as used
during the school
year
AR
(Accelerated
Reader)
1-7
Once students complete
a book, they log into this
software to take a comprehension quiz over the
book.
Reasoning Mind
2-5
(6th at
IDEA
Carver)
Students should work
through guided study or
wall of mastery.
www.rmcity.org
6-7
An adaptive online learning
program that deepens
students’ understanding of
critical math concepts and
problem-solving skills
http://lms.
thinkthroughmath.com/
users/sign_in
Achieve 3000
Think Through
Math
Spacial
Temporal Math
from Mind Research
Institute
Khan Academy
6
6-12
Game-based instructional
software designed to boost
math comprehension and
proficiency through visual
learning
An Online learning
program that
focuses on math,
science, computer
programming, history,
art history,
& economics.
2
https://hosted274.ren
learn.com/2406896
Username:
School ID #
Password:
ABC123
Username:
School ID #
Password:
School Password
http://web.stmath.com/
entrance/
www.khanacademy.org
Username:
School ID #
Password:
School Password
Username:
School ID #
Password:
School Password
GMail,
Facebook, or
Clever
(www.tinyurl.
com/zjnmduw)
public libraries
3
PUBLIC LIBRARIES
R I O G R A N D E VA L L E Y
Alamo Public Library
416 N. Tower Road
Alamo, TX 78516
(956) 787-6160
Harlingen Public Library
410 76th Drive
Harlingen, TX 78550
(956) 216-5800
Mercedes Memorial Library
434 South Ohio Street
Mercedes, TX 78570-3196
(956) 565-2371
Brownsville Public Library (Main
Branch)
2600 Central Blvd.
Brownsville, TX 78520
(956) 548-1055 ext. 2115
Hidalgo Public Library
710 E Texano Dr
Hidalgo, TX 78557
(956) 843-2093
Mission Public Library
801 E. 12th St.
Mission, TX 78572
(956) 580-8750
Brownsville Public Library
(Southmost Branch)
4320 Southmost Blvd.
Brownsville, TX 78521
(956) 548-1055 ext. 2201
La Joya Public Library
201 Palm Shores Blvd.
La Joya, TX 78560
(956) 581-4533
Pharr Public Library
121 E Cherokee Ave.
Pharr, TX 78577
(956) 787-3966
McAllen Public Library (Main
Library)
4001 N. 23rd St.
McAllen, TX 78504
(956) 681-3000
San Benito Public Library
101 W. Rose
San Benito, TX 78586
(956) 361-3860
Edinburg Public Library
401 E Cano St.
Edinburg, TX 78539
(956) 383-6246
McAllen Public Library (Lark
Branch)
2601 Lark Ave.
McAllen, TX 78504
(956) 681-3100
San Juan Public Library
1010 S Standard Ave.
San Juan, TX 78589
(956) 702-0926
Elsa Public Library
711 N. Hidalgo
Elsa, TX 78543
(956) 262-3061
McAllen Public Library (Palm View
Branch)
3401 Jordan Ave.
McAllen, TX 78503
(956) 681-3110
Weslaco Public Library
525 S. Kansas Ave.
Weslaco, TX 78596
(956) 968-4533
Donna Public Library
301 N. Main St.
Donna, TX 78537
(956) 464-2221
4
PUBLIC LIBRARIES
A U ST I N
Faulk Central Library
800 Guadalupe St.
Austin, TX 78701
(512) 974-7400
Howson Branch
2500 Exposition Blvd.
Austin, TX 78703
(512) 974-8800
Old Quarry Branch
7051 Village Center Dr.
Austin, TX 78731
(512) 974-8860
Carver Branch
1161 Angelina St.
Austin, TX 78702
(512) 974-1010
Little Walnut Creek Branch
835 W. Rundberg Ln.
Austin, TX 78758
(512) 974-9860
Pleasant Hill Branch
211 E. William Cannon Dr.
Austin, TX 78745
(512) 974-3940
Cepeda Branch
651 N. Pleasant Valley Rd.
Austin, TX 78702
(512) 974-7372
Manchaca Road Branch
5500 Manchaca Rd.
Austin, TX 78745
(512) 974-8700
Hampton Branch At Oak Hill
5125 Convict Hill Rd.
Austin, TX 78749
(512) 974-99006
North Village Branch
2505 Steck Ave.
Austin, TX 78757
(512) 974-9960
5
PUBLIC LIBRARIES
SAN ANTONIO
Bazan Branch Library
2200 W. Commerce
San Antonio, TX 78207
Phone: (210) 207-9160
Guerra Branch Library
7978 Military Drive West
San Antonio, TX 78227
Phone: (210) 207-9070
Mission Branch Library
3134 Roosevelt Ave.
San Antonio, TX 78214
Phone: (210) 207-2704
Brook Hollow Branch Library
530 Heimer
San Antonio, TX 78232
Phone: (210) 207-9030
Igo Branch Library
13330 Kyle Seale Pkwy
San Antonio, TX 78249
Phone: (210) 207-9080
Pan American Branch Library
1122 W. Pyron Ave.
San Antonio, TX 78221
Phone: (210) 207-9150
Carver Branch Library
3350 E. Commerce
San Antonio, TX 78220
Phone: (210) 207-9180
Johnston Branch Library
6307 Sun Valley
San Antonio, TX 78227
Phone: (210) 207-924
Parman Branch Library at Stone Oak
Cody Branch Library
11441 Vance Jackson
San Antonio, TX 78230
Phone: (210) 207-910
Landa Branch Library
233 Bushnell
San Antonio, TX 78212
Phone: (210) 207-9090
San Pedro Branch Library
1315 San Pedro Ave.
San Antonio, TX 78212
Phone: (210) 207-9050
Collins Garden Branch Library
200 N. Park
San Antonio, TX 78204
Phone: (210) 207-9120
Las Palmas Branch Library
515 Castroville Rd.
San Antonio, TX 78237
Phone: (210) 207-9200
Semmes Branch Library
15060 Judson Rd.
San Antonio, TX 78247
Phone: (210) 207-9110
Cortez Branch Library
2803 Hunter Blvd.
San Antonio, TX 78224
Phone: (210) 207-913
Maverick Branch Library
8700 Mystic Park
San Antonio, TX 78254
Phone: (210) 207-9060
Thousand Oaks Branch Library
4618 Thousand Oaks
San Antonio, TX 78233
Phone: (210) 207-9190
Forest Hills Branch Library
5245 Ingram Rd.
San Antonio, TX 78228
Phone: (210) 207-9230
McCreless Branch Library
1023 Ada St.
San Antonio, TX 78223
Phone: (210) 207-9170
Tobin Branch Library at Oakwell
4134 Harry Wurzbach
San Antonio, TX 78209
Phone: (210) 207-9040
Great Northwest Branch Library
9050 Wellwood
San Antonio, TX 78250
Phone: (210) 207-9210
Memorial Branch Library
3222 Culebra
San Antonio, TX 78228
Phone: (210) 207-9140
Westfall Branch Library
6111 Rosedale Ct.
San Antonio, TX 78201
Phone: (210) 207-9220
6
20735 Wilderness Oak
San Antonio, TX 78258
Phone: (210) 207-2703
power hour
use it or lose it
20 Minutes of reading, AR testing, computer-based
software
1.Achieve 3000
2.Accelerated Reader
3.Imagine Learning
4.Newsela.com
5.Folletshelf
20 minutes of Math Worksheet or Computer based
software
1.Think through Math
2.Khan Academy
20 minutes of Journal Writing
1.Text Connections
2.Text to Text
3.Text to Self
4.Text to World
5.Reading Log Journals
7
reADER RESPONSE
JOURNAL ENTRIES
INSTRUCTIONS:
1.On the days listed on this sheet, we recommend you read
20 minutes per day.
2.Answer the question listed in the box for the day. Each
night’s answer must be at least 5 sentences.
3.After completing your reading and writing, your parent/
guardian must sign your reading log.
4.Reading Logs must be completed from Monday through
Friday. Saturday and Sunday give you extra points (chaching)! You will turn in your log when you return from
summer to cash in for prizes!
8
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
9
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
10
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
11
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
12
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
13
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
14
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
15
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
16
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
17
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
18
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
19
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
20
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
21
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
22
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
23
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
24
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
25
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
26
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
27
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
28
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
29
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
30
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
31
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
32
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
________________________________________
PARENT’S SIGNATURE:
TITLE:________________________________
DATE: __________ PAGES READ:______
Reader RESPONSE
JOURNAL ENTRIES
MONDAY:
In 5 sentences, write about how you can connect your life to
what you read today.
TUESDAY:
In 5 sentences, describe the setting of the text you are
reading.
33
Reader RESPONSE
JOURNAL ENTRIES
________________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
WEDNESDAY:
Copy a quote from your book/text that has meaning for
you, then explain the meaning and why you chose it in 5
sentences.
________________________________________
PARENT’S SIGNATURE:
TITLE:__________________________________
DATE: __________ MINUTES READ:______
THURSDAY:
Create a 5 sentence paragraph using 4 words you had
difficulty understanding or have learned from your reading.
(Don’t be afraid to use dictionary.com to look up words!)
34
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE :________________________________
DATE: __________ PAGES READ:______
_________________________________
PARENT’S SIGNATURE:
TITLE: _______________________________
DATE: __________ PAGES READ:______
READER response
Journal Entries
FRIDAY:
In 5 sentences, explain what you like about this book so far.
SATURDAY:
In 5 sentences, explain what you dislike about this book so
far.
SUNDAY:
What events in the story reminded you of another story
you’ve read?
t yo u’re
e of wha
r
u
t
ic
p
Take a
l me d ia
on socia
it
e
r
a
h
s
LEARN!
read ing,
ASUMMER
E
D
I
#
g
and ta
35
maTH
FUN
PAGES
36
multiplying & Dividing decimals
MULTIPLYING WHOLE NUMBERS
BY DECIMALS
DIVIDING DECIMALS BY
WHOLE NUMBERS
Multiply: 6 x 5.37 = m
•
•
•
Divide: 3 ÷ 0.2 = p
Multiply as you would with whole numbers.
5.37
x 6
How many 2 tenths are there in 3 wholes?
___ decimal places
+ ___ decimal places
move decimal
___ places
1 2 3 4 5
3 ÷ 0.2 = ____
m=____
DIVIDING A DECIMAL BY A DECIMAL
Divide: 5.4 ÷ 0.8 = n
Multiply: 6 x 5.37 = n
Change the divisor
and the divident to
a whole number by
multiplying each
by the same power
of 10.
•
•
•
Shade 0.6 of
the grid
•
Shade 0.3 of the
grid with a different
color or pattern in
the other direction.
0.8 5.4
•
The overlapping squares that are shaded
twice show the product of 0.6 x 0.3.
0.6 x 0.3 =___ or
MULTIPLYING WHOLE NUMBERS
BY DECIMALS
0.59
x4.8
1 2 3 4 5
There are ______ sets of ______ tenths.
Add the number of decimal places in each factor.
Place the decimal point in the product
USING GRIDS TO MULTIPLY
1 2 3 4 5
•
5.4
0.8
=
8. 54.
Divide as you
would divide whole
numbers. Add zeros
as needed.
08. 54.00
Place the decimal
point in the quotient
directly above the
decimal point in the
dividend.
___ decimal places
n=6.75
+ ___ decimal places
VOCABULARY TERMS
move decimal
___ places
•
•
•
Multiply as you would with whole numbers.
Add the number of decimal places in each factor.
Place the decimal point in the product.
0.59 x 4.8=____
decimal
multiply
decimal place
power of 10
decimal point
product
divide
quotient
dividend
tenth
divisor
whole number
multiplying & Dividing decimals
NAME:_____________________
MULTIPLY:
A. 2,102.54
1.006
x2.090
DATE :______________
Ms. Jackson, a third grade teacher, wants to giver her
students pencils. She has 23 students in her class. If
each pencil is $1.25, how much money will Ms. Jackson
need?
A. $28.75
B. 21.0254
B. $29.50
C. 210.254
C. $2,875
D. 2.10254
D. $8.75
DIVIDE:
80.1 ÷ 9 =
CLASS:______________
$1.25
x 23
Jenny works 17.5 hours a week at the library. How many
hours does Jenny work in 52 weeks?
A. 89
A. 910
B. 0.89
B. 5460
C. 8.9
C. 105
D. 9.1
D. 312
DIVIDE:
17.5
x 52
MULTIPLY:
806.4 ÷ 0.6 =
78.9
x 14.0
A. 1,104.6
A. 134.4
B. 11.4405
B. 1,344
C. 11,046
C. 13.44
D. 1.1046
D. 1.344
DIVIDE:
MULTIPLY:
13.5 ÷ .35 =
13.86 ÷ 3.3 =
A. 42.0
A. 1,225
B. .42
B. .1225
C. 4.2
C. 1.225
D. 40.2
D. 12.25
39
multiplying & dividing fractions
MODEL MULTIPLICATION
MULTIPLYING FRACTIONS
Multiply 3/4 x 2/3
Multiply 3/4 x 2/3
Step 1: Multiply the numerators.
Step 2: Multiply the denominators.
3/4
2/3
The
overlapping sections
(green) that are shaded twice
show the product of 3/4 x 2/3.
Therefore,
3/4 x 2/3 = _or _
Shade
of the
rectangle with a different
color or pattern in the
other direction.
x
x
3/4 x 2/3 =
Divide rectangle into
thirds.
Shade
of
the rectangle.
Step 3: Use the greatest common
factor (GCF) to simplify the product, if
necessary. The GCF of 6 & 12 is 6.
6/12 =
VOCABULARY
denominator
multiply
divide
numerator
divisor
product
fraction
reciprocal
The answer of 1/2 is
the simplest form.
greatest common factor (GCF) whole number
MODELING DIVISION
DIVIDING FRACTIONS
Divide 9/16 ÷ 3/16
How many sets of
3/16 are there in 9/16?
Divide 6 ÷ 2/3
Step 1: Write the whole number as a
fraction.
6 ÷ 2/3 =
dividend
9/16
=
÷
divisor
2/3) upside down to
Step 2: Flip the divisor (
find the reciprocal.
The reciprocal of
2/3 is
Step 3: Rewrite as multiplication using the
reciprocal.
There are ___ groups of
Therefore
3/16 in 9/16?
9/16 ÷ 3/16 =
x
Step 4: Simplify before multiplying.
x
=
=
multiplying & dividing fractions
NAME:_____________________
What is the product of
5/16
B. 4/9
C. 4/63
D. 4/56
DATE :______________
4/7 x 1/9?
1/2 ÷ 4/5 = 1/2 x 5/4 =
4/10
B. 8/5
C. 2/5
D. 5/8
4/7
A.
A.
1/9
3/7 x 1/10 =
3/7
4/17
B. 4/10
B. incorrect
1/10
5/8 x 7/9 =
12/17
B. 32/56
C. 32/56
D. 35/63
÷
A. correct
C. 3.10
3/70
÷
3/10 ÷ 3/5 = 9/50
A.
D.
CLASS:______________
You can reduce
5/8
3/5
B. 2/3
C. 4/5
D. 3/4
A.
A.
7/9
12/20 to ___.
12 ÷ 4
20 ÷ 4
Divide the following fractions and reduce the
quotient to its lowest terms.
1/10 x 4/10 = 4/10
4/10
1/3
B. 20/30
C. 30/40
D. 3/4
A.
A. correct
B. incorrect
1/10
41
5/10 ÷ 4/6 =
Ratio, proportion & Percents
RATIO
Step 2:
Write a ratio to compare. Ratios can be written in
three different ways.
A ratio is a comparison of two numbers. These
numbers are called the terms of radio.
Write a ratio to compare the number of green and
blue marbles.
FRACTION
FORM
WORD
FORM
USING A
COLON
green to blue
to
:
blue to the
total number
of marbles
to
:
green to the
total number
of marbles
to
:
RATIO
Step 1:
Count the number of green marbles: ___
Count the number of blue marbles: ___
Lemonade Making Directions
PROPORTION
A _____________ is an
equation showing that two
ratios are equal. Ratios that
are equal to each other
are called ___________
____________.
= water
Mix 4 parts water with 1 part lemon juice.
= lemon juice
VOCABULARY
denominator
=
equal ratio
÷
=
=
÷
equivalent fraction
fraction
Equal ratios:
percent
=
=
4/1 =
÷
=
=
proportion
ratio
1/5
1/5
1/5
1/5
PERCENT
Percents show up everywhere in our
daily live - sales tax on purchases,
tips at restaurants, discounts at
stores, among others. Percent
means “per hundreds”. It is a ratio
that compares a number to 100. For
sample, 36 percent is a 36 to 100 or
36 out of 100.
1/10 x
=
%
What percent of this grid is
shaded.
4/5
Change
to an equivalent fraction with a
denominator of 100.
4/5 x
1/4 x
=
%
1/2 x
=
%
3/4 x
=
=
=
%
%
10/10 x100/100=
%
Ratio, proportion & percents
NAME:_____________________
DATE :______________
Another way to write 20 to 6 is ______.
Write the percent as a fraction.
1/100
B. 11/1000
C. 11/100
D. 11/10
6/20
B. 20/6
A.
A.
C. 20.6
D.
1/6
11%
Write the fraction as a percent.
Another way to write 5:10 is ______.
A. 10:5
B. 10 to 5
A. 30%
5/10
D. 1/5
B. 3%
C.
3/100
C. 300%
D. 0.3%
While cleaning his room, Max found the following
marbles: 7 black, 19 red, and 2 violet. What is the ratio
of black marbles to red marbles?
Write the percent as a fraction.
5/10
B. 5/100
C. 50/100
D. 5/1
A.
A. 7:19
B. 7:28
C. 19:7
D. 19:24
What is the ratio of
CLASS:______________
to
?
5%
Another way to write the ratio
A. 4:4
B. 1:4
A. 10:7
C. 4:12
B. 10 to 7
D. 1:12
C. 7:10
D.
43
1/10
7/10 is
operations with mixed numbers
SUBTRACTION
ADDITION
Add 22/3 + 31/6
Add 22/3 + 31/6
+
-
2/3 and 1/6.
multiples of 3: _,_,_,_,_,...
multiples of 6: _,_,_,_,_,...
Step 1: Find the least common denominator (LCD) of
2/3
1/6
Step 1: Find the LCD and write equivalent factions. LCD of
3/4 and 5/8 is
VOCABULARY
.
addition
dividend
division
Step 2: Write the
equivalent fractions with
a denominator of 6.
Step 3: Add the
fraction. Then add
the whole numbers.
Simplify the sum, if
necessary.
divisor
43/4 =
22/3 =
+31/6
equivalent fraction
factor
fraction
-25/8
Step 2:
Subtract the fractions
first, then the whole
numbers. Simplify the
difference if necessary.
improper fraction
least common denominator
(LCD)
mixed number
multiplication
numerator
product
quotient
reciprocal
subtraction
MULTIPLICATION
Multiply factor
21/4 x 2/3
=m
factor
product
Step 1: Write the mixed number as an improper fraction.
21/4 =
=
x
=
Step 3: Simplify the
product.
Multiply 12/3 x 13/7 = n
dividend
divisor
13/7 =
Step 2: Rewrite as multiplication using the reciprocal of the
divisor.
Step 3: Multiply the numerators and denominators and
simplify.
5/3 x 7/10 =
=
quotient
Step 1: Write the mixed number as improper fractions.
12/3 =
Step 2: Multiply the numerators and then denominators of
the two factors.
21/4 x 2/3 =
DIVISION
35/30 =
Step 4: Write as a mixed number.
Step 4: Write the product
as a mixed number if it is
an improper fraction.
=
improper fraction
improper fraction
mixed number
7/6 =
mixed number
operations with mixed numbers
NAME:_____________________
DATE :______________
Add 711/27 + 1 9/27 =
A. 7
7 1/4 ÷ 3 = 29/4 ÷ 3/1 = 29/4 x
9/27
B. 8 20/27
A. 2
1/2
B. 21
3/4
C. 6
18/27
C. 2
5/12
D. 8
2/27
D. 2
7/12
Add 9 10/12 + 8
1/12 =
2
2/5 x 4 1/6 = 12/5 x 25/6 = 300/30 = 10
B. 18
11/13
A. true
C. 17
11/24
B. false
D. 18
22/24
A. 6
4/8
B. 2
4/8
C. 6
2/8
D. 2
2/8
Subtract 12
3/8 - 2 1/8 =
6
35/55
B. 3 35/55
C. 1 100/105
D. 2 20/21
5 5/9 + 2
4/5 - 3 1/5 =
3/5
C. 16
D. 9
1/5 ÷ 2 1/10 = 31/5 ÷ 21/10 = 31/5 x 10/21 =
A. 5
A. 10
B. 3
1/3 = True or false?
A. 17 11/12
Subtract 4
CLASS:______________
3/5
5/9 =
A. 7
1/9
B. 8
1/9
C. 7
10/9
D. 8 5/9
45
introduction to algebra
ALGEBRAIC EXPRESSIONS
Examples of Algebraic Expressions
An algebraic expression is a mathematical phrase
consisting of variables, numbers and operations.
3 x 2m = is an _______ ________
The letter m is a _____________ which represents
an unknown number.
Addition:
Subtraction:
Multiplication:
Division:
TRANSLATING WORD PHRASES
INTO ALGEBRAIC EXPRESSIONS
Operation
Addition
Word Phrase
Algebraic
Expression
A number plus 9
To evaluate algebraic expressions, replace the variable
with a number.
evaluate m + 5 for m = 4
The sum of m and 9
9 more than a number
a number increased by 9
Replace m with
The difference between a
number and 9
Subtraction
EVALUATING ALGEBRAIC
EXPRESSIONS
A number minus 9
m+5
9 less than a number
A number decreased by 9
Multiplication
9 more than twice a number
2 x a number
+5=
A number multiplied by 2
The product of 2 and a number
Division
in the expression.
A number divided by 9
9 divided by a number
The quotient of a number and 9
SOLVING EQUATIONS
Solve the equation to find the value of the variable
that makes the equation true. The value of the variable
is called the solution.
An equation is a mathematical sentence which shows that
two expressions or values are equal.
Think of an equation as a balance scale.
VOCABULARY
algebra
solve 16 + m = 28
algebraic expressions
difference
equation
increase
m + 16
expression
=
equal sign
more
28
expression
plus
product
quotient
solution
sum
variable
28
m
16
What number plus 16 equals 28?
+ 16 = 28
= 28
solution m =
Introduction to algebra
NAME:_____________________
DATE :______________
Evaluate the following equation then choose the
answer that best completes the equation.
Evaluate the following equation then choose the
answer that best completes the equation.
11 - x = 4; x =
5 x r = 25; r =
A. 7
A. 2
B. 8
B. 3
C. 9
C. 4
D. 10
D. 5
Evaluate the following equation then choose the
answer that best completes the equation.
Evaluate the following equation then choose the
answer that best completes the equation.
15 + y = 23; y =
16 - 9 = x; x =
A. 10
A. 9
B. 8
B. 8
C. 3
C. 7
D. 9
D. 6
Evaluate the following equation then choose the
answer that best completes the equation.
CLASS:______________
Evaluate the following equation then choose the
answer that best completes the equation.
t x 2 = 14; t =
x - 7 = 3; x =
A. 8
A. 1
B. 9
B. 5
C. 10
C. 7
D. 11
D. 9
Evaluate the following equation then choose the
answer that best completes the equation.
Evaluate the following equation then choose the
answer that best completes the equation.
9 = 3 x y; y =
30 = c + 15; c =
A. 5
A. 2
B. 10
B. 3
C. 15
C. 4
D. 20
D. 5
47
probability concepts
ALGEBRAIC EXPRESSIONS
The probability of an event shows the __________ that some event will
occur.
When we toss a number cube, there are
possible different outcomes. It can show
either __,__,__,__,__ or __.
An event is all the possible __________.
An impossible event has a probability of __________.
A certain event has a probability of ___.
On which color is the spinner more likely to land?
It is ______ ______that the
It is __________that the spinner
that the spinner will land on a green
spinner will land on a green section;
will land on a green section;
or
and ______ ______that it will
and ___________ that it will land
yellow section.
land on a yellow section.
on a yellow section.
There is an ______
______
VOCABULARY
FINDING PROBABILITIES
certain
chance
You can determine the probability of an event by
comparing the number of favorable outcomes with the
total number of possible outcomes.
even chance
event
favorable outcome
number of favorable outcomes
impossible
= number of possible outcomes
probablity of an event
less likely
more likely
possible outcome
probability
What is the probability that you will
pick a red ball?
If you pick 2 balls from the bag, what is the
probability that they will be red and green?
Step 1: Count the number of red balls.
Step 2: Count the total number of balls.
Step 3: Write a fraction.
probability of picking
a red ball
number of red balls.
= total number of balls =
probablity of picking a
red ball
=
=
probability of picking
a red ball
=
=
probability of picking
a green ball
=
=
+
=
probability of picking
a red & a green ball
=
probability concepts
NAME:_____________________
DATE :______________
On the spinner, what is the probability of spinning
the letter F?
B. 1 out of 7
C. 7 out of 7
D. 4 out of 7
C
A
A. 7 out of 1
B
D. 3 out of 8
B. 14 out of 14
C. 14 out of 10
D. 4 out of 10
F
L
A. 8 out of 11
C. 3 out of 11
A. 14 out of 51
G
On this spinner, what is the probability of spinning
the letter H?
B. 3 out of 5
A bag contains 4 red marbles, 16 yellow marbles,
5 purple marbles, 16 blue marbles, and 10 green
marbles. What is the probability of pulling out a red
or green marble?
E
D
On this spinner, what is the probability of spinning
the letter G?
A. 7 out of 7
H
B. 3 out of 7
J
K
H
C. 10 out of 7
H
J
CLASS:______________
D. 7 out of 10
K
A bag contains 10 red marbles, 3 purple marbles,
11 yellow marbles, 3 green marbles, and 3 blue
marbles. What is the probability of pulling out a red
or a green marble?
F
F
G
B
G
G
C
If one is chosen at random from the work
knickknack, the probability that the letter “a” is
chosen is 1 out of ______.
A. 9
A. 13 out of 30
B. 8
B. 2 out of 30
C. 10
C. 13 out of 13
D. 11
D. 2 out of 13
A bag contains 3 yellow marbles, 18 blue marbles,
5 purple marbles, 8 red marbles, and 10 green
marbles. The probability of pulling out a green
marble is _____ out of 44.
A number cube has 6 sides. The sides are
numbered 1 to 6. If the cube is thrown once, what is
the probability of rolling the number 6?
A. 1 out of 6
A. 3
B. 6 out of 6
B. 5
C. 5 out of 6
C. 18
D. 4 out of 6
D. 10
49
lines, angles & circles
LINES
POINT
LINE
LINE SEGMENT
RAY
ANGLE
define
define
define
define
define
example
example
example
example
example
ANGLES
VOCABULARY
A
E
H
D
F
G
MEASURING ANGLES
I
DRAWING ANGLES
B
Measure
BAC
Step 1
A
C
Step 1: Place the center point of the protractor over the vertex (corner) of the angle.
Step2
Step 2: Place the protractor so that ray AC is over the base line of the protractor and
passes through the 0˚ mark.
Step 3: Read the measure where the other ray AB crosses the projector.
CIRCLES & RELATED FIGURES
F
E
A
B
center
D
AB is a ______________.
C
Step 3
Step 4
AC is a ______________.
EF is a ______________.
DBC is a _____________.
Step 5
acute angle
point
angle
protractor
circle
radius
cord
ray
diameter
right angle
line
straight angle
line segment
straight line
obtuse angle
vertex
lines, angles & circles
NAME:_____________________
DATE :______________
You may use a protractor to measure the following
angle.
CLASS:______________
You may use a protractor to measure the indicated
angle for the geometric shape.
A. 360 degrees
A. 120˚
B. 180 degrees
B. 360˚
C. 90 degrees
C. 90˚
D. 45 degrees
H
D. 60˚
The measure of the following angle is less than 90
degrees. True or false?
A. True
diameter
The radius is one-half the diameter. True or false?
A. True
B. False
B. False
Identify the angle as right, straight, obtuse, or
acute.
radius
The PNO equals 5 degrees, what is the measure
of MNP?
A. 5˚
B. 75˚
A. obtuse
P
C. 85˚
B. right
D. 175˚
C. acute
D. straight
M
If the measure of
is the measure of
You may use a protractor to measure the indicated
angle for the geometric shape?
N
LOM equals 135 degrees, what
MON?.
A. 55˚
Y
O
M
B. 45˚
C. 315˚
A. 108˚
D. 225˚
B. 90˚
C. 120˚
L
D. 60˚
51
O
N
slope
Slope is used to describe _________________________________
_________________________________________________
_____________.
y-axis
VOCABULARY
coordinate
function
The slope of a line can be found by dividing the _________
by the __________.
incline
linear equation
rise
x-axis
Slope
run
=
slope
x-axis
y-axis
The y-intercept is the y-value at which the line
y-intercept
crosses the __________.
GRAPHING LINEAR FUNCTIONS
The graphs of linear equations are straight lines.
IDENTIFYING SLOPE &
Y-INTERCEPT OF A LINE
y
The slope-intercept form of a linear equation is:
y = mx + b
(
,
)
run:
slope y-intercept
Graph: y = -1/4x + 3
rise:
y
x
(
x
,
)
rise
run
Slope
=
=
=
=
A horizontal line has a slope of ___________.
Slope is ________. The y-intercept is _____. From the y-intercept,
move ____ unit up (rise) and _____ units left (run) to find another line
coordinate. Draw a line to connect these points.
A vertical line has ____ _______.
A line with a __________ slope resembles a line going
uphill.
A line with a __________slope resembles a line going
downhill.
NAME:_____________________
slope
DATE :______________
What is the slope of the line shown?
What is the equation of a line that has a slope of -7
and crosses the y-axis at the point (0,5)?
A. positive
A. y = 5x - 7
B. negative
B. y = 5x + 7
C. zero
C. y = -7x + 5
D. undefined
D. y = -7x - 5
What is the equation of the line with a slope of 5
and a y-intercept of -2?
What is the slope of the line shown?
A. y = -2x + 5
A. positive
B. y = -5x + 2
B. negative
C. y = 5x - 2
C. zero
D. y = 5x +2
D. undefined
What is the equation of the line with a slope of -3
and a y-intercept of 9?
CLASS:______________
According to the graph shown, what are the
y-values for the x-values of 5,6, and 7?
A. y = 3x + 9
A. -2,-4,-6
B. y = -9x - 3
B. 2.4.6
C. y = 9x - 3
C. 0,2,4
D. y = -3x + 9
D. 0,-2,-4
What is the equation of a line that has a slope of 4
and crosses the y-axis at the point (0, -1)?
The equation of a line -3x + y =-4. What is the slope
of the line?
A. y = -x + 4
A. 4
B. y + 4x - 1
B. 3
C. y = 4x +1
C. -3
D. y = x + 4
D. -4
53
The Pythagorean theorem
A right triangle is a triangle with an __________ or
__________. The two sides that from the right triangle are
called __________. The side opposite of the right triangle is the
___________.
VOCABULARY
THE PYTHAGOREAN THEOREM
angle
hypotenuse
leg
__________was one of the first mathematicians to recognize the
Pythagorean Theorem
relationship between the sides of a right triangle. The special relationship
SQUARE A
The Pythagorean Theorem states ____________
right triangle
SQUARE C
forms the __________ ____________ .
a
side
c
b
__________________________________
______________________________.
SQUARE B
According to the Pythagorean Theorem, the sum of
the two green squares, is equal to the area of the
blue square.
=
Area of square B =
Area of square C =
Area of square A
Therefore in algebraic terms, the
Pythagorean Theorem is stated as:
+
=
USING THE PYTHAGOREAN
THEOREM
C
3cm
4cm
Find the length of the hypotenuse (C).
a2 +
b2 =
+
+
=
=
Substitute for the known
variables.
=
=
Take the square root of
both sides.
=
c2
C
The length of the
hypotenuse.
The Pythagorean Theorem
NAME:_____________________
DATE :______________
In the figure shown, CB is one of the legs. True or
false?
CLASS:______________
In the figure shown, JLK is right angle. True or
false?
L
C
A. true
A. true
B. false
B. false
A
J
B
How long is the hypotenuse in the triangle shown?
Based on the figure shown, how long is the
hypotenuse?
a2 + b2 = c2
8m
A. 6 m
B. 8 m
B. 1,296 cm
10m
D. 100 m
C. 60 cm
D. 36 cm
a2 + b2 = c2
B. 12 cm
12cm
5cm
A. 20 cm
B. 4 in.
20cm
c
C. √635 cm
13m
D. √685 cm
In a right triangle, one leg measures 3 inches and the
other leg measures 4 inches. What is the length of the
hypotenuse?
A. 3 in.
48cm
B. 26 cm
C. 13 cm
D. 17 cm
36cm
Based on the figure shown, how long is the
hypotenuse?
What is the measure of the longer leg of the
triangle shown?
A. 5 cm
c
A. 3.600 cm
6m
C. 10 m
K
15cm
A ladder leans against a house as shown in the angle
below. It is 5 feet away from the house. The ladder
reaches the house 12 feet from the gound. What is the
length of the ladder?
a2 + b2 = c2
A. 17 ft
B. 15 ft
C. 5 in.
C. 14 ft
D. 14 in.
D. 13 ft
55
a2 + b2 = c2
12ft
5ft
Introduction to probability
WHAT IS PROBABILITY?
VOCABULARY
certain
Impossible
Probability is the possibility that
As likely as not
Unlikely
Certain
Likely
dependent event
event
a _______ ________will
experimental probability
occur. An event that is certain to
0
occur has a probability of ___.
fraction
An event that cannot occur has
1/4
1/2
3/4
1
___.
possible outcome
probability
theoretical probability
percent
EXPERIMENTAL PROBABILITY
independent event
permutation
0%
occurring is always between
impossible
outcome
decimal
the probability of an event
favorable outcome
likely
0
a probability of ___. Therefore,
___ and
combination
unlikely
THEORETICAL PROBABILITY
Experimental probability is ______________________________
Theoretical probability is _______________________________
__________________________________.
__________________________________.
experimental
Probability
≈
number of times
an event occurs
total number of
trials
INDEPENDENT EVENTS
theoretical
probability
≈
number of favorable
outcomes
total number of
possible outcomes
DEPENDENT EVENTS
Probability is _________________________________________
The dependent event is _________________________________
___________________________________.
__________________________________.
Probability of two independent variables.
Probability of two dependent variables.
P (a and b) = P (a) • P (b)
P (a and b) = P (a) • P (b after a)
probability of
both events
probability of probability of
first event
second event
COMBINATIONS
probability of
both events
probability of
first event
Probability of
second event
PERMUTATIONS
A combination is ______________________________________
The number of ways that an event can occur depends on the
___________________________________.
Example: How many different combinations can be made
when picking 2 letters out of the word DOG?
order. A permutation is _________________________________
There are ___
possible letter
combinations:
DG, OD, GO
D
O
G
Cross out the
duplicates.
_____________________.
Example: Arrange 3 students in 3 chairs.
3 • 2 • 1 or 3! =
3
2
1
•
•
•
•
•
•
•
•
•
•
•
•
Introduction to probability
NAME:_____________________
DATE :______________
Probability is a fraction, decimal,or percent that
represents how likely a favorable event is to occur
based on the total number of times the event occurs.
It is always between 0 and 2. True or false?
CLASS:______________
There are 52 cards in a standard deck of cards,
what is the probability of picking a 3?
1/52
B. 2/52
C. 3/52
D. 4/52
A.
A. True
B. False
If an event is most likely to happen, the probability
gets closer to___________.
A letter is picked from the word MISSISSIPPI. What
is the probability of picking an “S”?
1/2
B. 1/4
C. 4/11
D. 4/12
A.
A. 0
B. 0.25
C. 0.50
D. 1
Ashley flips a penny 15 times and keeps track of
the results. She thinks heads will land up the most.
Her results are H, T, T, H,T,H,T,T,T,H,H,H,T,T, and H.
What is the experimental probability that heads
landed up?
The probability that 14-year old Joe did not have a
birthday last year is _______.
A. 0
1/12
C. 1/2
B.
A. 54%
B. 53%
C. 47%
D. 1
D. 50%
A die is rolled and a coin is flipped. What is the
probability of getting a 2 or a head?
The Angels soccer team has a 75% chance of
making the playoffs. What does that mean?
A. They certainly will not make the playoffs.
A. 8%
B. They most likely will not make the playoffs.
B. 50%
C. They most likely will make the playoffs.
C. 58%
D. They certainly will make the playoffs.
D. 67%
57
all about percents
Percents can be written as
VOCABULARY
decimals or fractions.
The percent means _________.
Fraction
Decimal
Percent
It is the ratio of a number to 100.
0.
10%
The symbol ___ is then added after a
0.
25%
0.
33.3%
0.
50%
number to indicate that it is a percent.
20%
23%
=
=
0.
75%
0.
100%
DECIMALS AS
PERCENTS
PERCENTS AS
DECIMALS
PERCENTS AS
FRACTIONS
0.09
=
decimal
decimal point
denominator
equation
equivalent fraction
fraction
percent
proportion
=
FRACTIONS AS
PERCENTS
3/5
=
=
=
•
•
=
=
Write percent as a fraction
Write the percent as a fraction
Write the decimal as a fraction.
with a denominator of 100.
with a denominator of 100.
Write the decimal as a percent
Simplify, in needed.
Convert the fraction to a
by moving the decimal point
decimal.
two places to the right.
Write an equivalent fraction
with a denominator of 100.
Write the fraction as a percent.
SOLVING PROBLEMS USING PERCENTS
DETERMINING THE
PERCENT OF A NUMBER
USING PROPORTIONS
What is 57% of 80?
35 is what percent of 70?
57
m
=
100
80
•
=
•
=
m
35
=
100
70
•
=
•
=
•
•
= m
57% of 80 is ___
m =
35 is ___ of 70
USING EQUATIONS
36 is 15% of what number?
36 = 15% • m
=
=
•
•
= m
36 is 15% of ___
all about percents
NAME:_____________________
DATE :______________
What is the fraction 2/3 as a percent?
One hundred twenty-five is what percent of 500?
A. 33.3%
A. 20%
B. 66.7%
B. 25%
C. 75%
C. 27%
D. 80%
D. 303%
What is the decimal 0.84 as a percent?
CLASS:______________
What is 150% of 280?
A. 4.8%
A. 450
B. 8.4%
B. 420
C. 48%
C. 45
D. 84%
D. 42
What is 30% of 20?
What is 280% of 315?
A. 4
A. 84.0
B. 5
B. 88.2
C. 6
C. 840
D. 8
D. 882
In the month of July, the temperature was above
90˚ about 26% of the time. How many days was the
temperature above 90˚?
What is 42.5% as a fraction?
17/40
B. 18/40
C. 21/50
D. 22/50
A.
A. 5
B. 6
C. 7
D. 8
59
a/b = p/100
finding volume
VOLUME OF PRISMS
Rectangular
Prism
VOLUME OF CYLINDERS
v = π r2h
π ≈ 3.14
V=lxwxh
V = __ •__•__
V = __
3 cm
(h )
3 cm
(w)
diameter (d) = ____
radius (r) = ____
radius (r) = ____
5 cm
(l)
r = ____
V = base area (b)•height (h)
Prism
Since the bases are triangles, the area
of each triangle is:
7 cm
B = 1/2b • h, or 1/2•__•__=__
12 cm
4 cm
V ≈ 3.14•__•__
V ≈ 3.14•__•__
V ≈ ________
V = __•__
V = __
VOCABULARY
cone
cylinder
diameter
pi (π)
prism
pyramid
radius
rectangular prism
sphere
triangle
volume
VOLUME OF PRISMS
VOLUME OF PRISMS
VOLUME OF PRISMS
3 cm
8 cm
(h)
(r)
8 cm
(h)
3 cm
(r)
4 cm
6 cm
V = 1/3 π r2 h
V = 4/3 π r3
V = 1/3B • h
V ≈ 1/3 • 3.14•__ •__
V ≈ 4/3 • 3.14 •__
B= l • h
V ≈ 1/3 • 3.14•__ •__
V ≈ 4/3 • 3.14 •__
V ≈ 1/3 • __•__
V ≈ __________
V ≈ __________
V ≈ __________
finding volume
NAME:_____________________
DATE :______________
In the figure shown, each cube equals 1 unit. What is
the volume of the figure?
CLASS:______________
The volume of a can of paint is 265.33 inches. If
the diameter of the can is 6.5 inches, what is the
height?
V=lxwxh
π ≈ 3.14
v = π r2h
A. 14 units3
6.5 in
A. 2 in
B. 22 units
3
B. 6.5 in
C. 25 units3
h=?
C. 8 in
D. 40 units3
D. 13 in
What is the volume of the prism shown?
What is the volume of the pyramid shown?
V=lxwxh
V = 1/3Bh, where B is the area of the
base.
A. 5,400 cm3
45 cm
6 cm
B. 8,100 cm
3
A. 1,372 cm
h = 21 cm
B. 2,058 cm
3
C. 12,150 cm3
C. 3,087 cm3
30 cm
D. 40,500 cm
3
D. 4,116 cm3
14 cm
What is the volume of the prism shown?
What is the volume of the cone shown?
V = (1/2) x l x w x h
v = π r2h
7.5 in
A. 329 in3
A. 360 in3
B. 720 in3
B. 1,236.4 in3
10 in
D. 2,880 in
3
h = 21 in
C. 1,854.6 in3
C. 1,440 in3
D. 3,461.9 in3
24 in
12 in
If the volume of a sphere is 38,772.72 cm3, what is
it’s approximate diameter.
The volume of the cylinder shown is 5,836.26 cm3. The
height is 11 cm. What is the radius of the cylinder?
v = π r2h
π ≈ 3.14
π ≈ 3.14
v = π r2h
π ≈ 3.14
v = 5,837,26 cm
3
A. 13 cm
B. 15 cm
C. 26 cm
V = 38,772.72 cm3
A. 21 cm
B. 33 cm
11 cm
C. 42 cm
D. 169 cm
D. 66 cm
61
d=x
numerical & Geometric Proportions
NUMERICAL PROPORTIONS
An equation with two equal
Numerical Proportions compare two ___________
VOCABULARY
ratios is called a proportion.
_______________.
3
6
Ratios are used to compare quantities with the
___________ _______________.
_______ are used to compare quantities measured with
corresponding angle
corresponding side
1
2
=
cross multiply
cross product
denominator
equation
A cross product is the product of the
different units.
equivalent
________ in one ratio and the _______
_______ __________ are used to find a missing
•
numerator
in the other ratio.
quantity in a proportion.
3
5
m
12
=
5
4
•
=
•
=
geometric proportion
Cross multiply.
=
numerical proportion
proportion
6
10
rate
ratio
similar figure
triangle
Cross Product Rule
a
b
=
variable
c
4
When two ratios are equal, then the cross
product, a • d and b • c are ________.
Divide each side by __
to isolate the variable.
m =
GEOMETRIC PROPORTIONS
B
Geometric proportions compare two ______
____________.
A
Similar figures have equal corresponding ________
E
C
and corresponding ___________ that are in
__________________.
D
Determining whether two triangles are
similar.
Identify the corresponding sides in the two triangles.
K
H
Use ratios of the corresponding sides to determine whether
F
the triangles ∆GHI and ∆JKL are similar.
corresponds to
?
=
16 ft
4 cm
corresponds to
?
=
24 cm
6 cm
corresponds to
G
=
=
3 cm
I
J
12 cm
L
The triangles are _________ since their corresponding
sides are _____________.
Numerical & geographic proportions
NAME:_____________________
DATE :______________
What is x is to 45 as 9 is to 90 written in a proportion?
CLASS:______________
The figure shown is of similar triangles. True or
false?
12 m
A. x/9 = 90/45
B. x/45 = 90/9
A. true
C. x/45 = 9/90
B. false
4m
D. 45/x = 9/90
2m
6m
Lindsey is building a model of her house. She wants
to use the ratio of 1 inch for every 5 feet. If her
house is 35 feet tall, which proportion should she
use to get the height of her house?
In the figure shown, the triangles are similar. True or
false?
15 cm
30˚
5 cm 110˚
40˚
A. true
A. 1/35 = x/5
29˚
B. false
B. x/5 = 35/1
10 cm
C. 1/5 = x/35
10 cm
30 cm
41˚
110˚
D. 35/5 = 1/x
20 cm
Mariah is making a batch of cookies. A batch
needs 3 cups of flour and 2 cups of oatmeal to
make enough cookies for 16 people. If Mariah
wants to make enough cookies for 80 people,
much flour is needed?
The triangles shown are similar. What is the
measure of DFE?
A
D
A. 27˚
A. 2 cups / 3 cups = 16 people / x
B. 42˚
B. 2 cups / 16 people = x / 80 people
28 ft
16 ft
C. 53˚
C. 3 cups / 16 people = 80 people/x
D. 95˚
D. 3 cups / 16 people = x / 80 people
B
32˚
95˚
24 ft
E
18 ft
95˚
12 ft
21 ft
C
F
Given the similar polygons show, which side corresponds to side DF?
The quotient of 2 yards / 8 feet is a ratio. True or
false?
D
A. true
A. EF
B. false
B. AC
B
A
58˚
57˚
57˚
C. AB
D. BC
63
F
65˚
65˚
58˚
E
C
exponents, factors & multiples
EXPONENTS
POWER OF TENS & SCIENTIFIC NOTATION
43 = __ x __ x __ = ___
Power
of ten
An exponent tells how many times to multiply a number,
called base, by itself.
A number written with a base and an exponent is in
exponential form.
VOCABULARY
base
multiple
composite number
power of ten
exponent
prime factorization
exponential form
prime number
factor
scientific notation
greatest common factor standard form
least common factor
104 = __ x __ x __ = ___
2,380,000 = _____ x _____
standard form
scientific notation
Move the decimal point ___ places to get a number that is greater
than or equal to ___ and less than ___.
The _____________ is equal to the number of decimal places you
moved the point.
PRIME FACTORIZATION OF 120
120
PRIME FACTORIZATION
Prime factorization is ________________________
_______________________________________
___________________.
A prime number has exactly two factors: ______ and
____________.
•
•
•
•
•
•
•
The Prime Factorization of 120 is
•
•
•
•
=
•
•
A _________ __________ has more than two factors.
GREATEST COMMON FACTOR
LEAST COMMON FACTOR
The greatest common factor (GCF) of two or more numbers is
The least common multiple (LCM) of two or more numbers is
_________________________________________
_________________________________________
_________________________________________
_________________________________________
____________.
____________.
GREATEST COMMON FACTOR OF 36 & 54
LEAST COMMON FACTOR OF 5 & 6
36 = __,__,__,__,__,__,__,__,__
5 = __,__,__,__,__,__,...
54 = __,__,__,__,__,__,__,__
6 = __,__,__,__,__,__,...
The GCF is ________
The LCM is ________
exponents, factors & multiples
NAME:_____________________
DATE :______________
Numbers that have only two factors are_______?
What is the prime factorization of 1,440?
A. composite
A. 5 x 4 x 32 x 2
B. prime
B. 5 x 42 x 3 x 2
C. even
C. 5 x 4 x 32 x 2
D. factors
D. 52 x 42 x 3 x 2
Writing a number as a product of prime numbers is
called _______.
CLASS:______________
To simplify a fraction, divide the numerator and
denominator by their _______.
A. composite
A. Greatest Common Factor
B. factoring
B. Least Common Multiple
C. prime factorization
C. product
D. distributing
D. sum
What is the prime factorization of 72?
123 = 12 x 12 x 12 =
A. 23 x 32
A. 1,728
B. 22 x 33
B. 144
C. 2 x 33
C. 1,600
D. 23 x 3
D. 360
What is the prime factorization of 368?
17 = 1 x 1 x 1 x 1 x 1 x 1 x 1 = ___
A. 23 x 21
A. 7
B. 2 x 23
B. 1
C. 24 x 21
C. 100
D. 24 x 23
D. 8
5
65
INEQUALITIES
An _____________ is a mathematical sentence that
does not have an exact solution. Instead, a range of
An inequality uses one of the following symbols, instead of
an equal sign:
SYMBOL
solutions will satisfy the inequality.
MEANING
Greater than
More than
above
All the solutions of an inequality with more than one solution
are called ___________ _____.
less than
fewer than
below
________________ are used in many real-world
greater than or equal to
no less than
at least
situations. An example is a driving speed sign with a
number which tells you that your speed must be ≤65 mph.
less than or equal to
no more than
at most
GRAPHIC COMPOUND INEQUALITIES
GRAPHIC SIMPLE INEQUALITIES
x > -4
An ______ ______ is used when
Graph each inequality separately.
the variable is > or < a number.
x≥1
-6
-4
-2
0
2
4
-6
-4
0
2
the variable is ≥ or ≤ a number.
-2
0
2
4
-4
-2
0
2
Combine both graphs.
-6
6
closed circle
compound inequality
greater than
greater than or
equal to
less than
the same way as you would solve an
__________.
x+3≥5
-4
-2
open circle
2
4
6
simple inequality
solution
When you multiply or divide both sides of an
inequality by a negative integer, _______ the
direction of the ______ _________.
-2x > 6
-2x < 6
solution set
variable
less than or equal to
negative integer
x≥
-2
0
SOLVING INEQUALITIES BY
MULTIPLYING OR DIVIDING
VOCABULARY
Solve an addition or subtraction inequality
-4
4
A ______ ______ is used when
SOLVING INEQUALITIES BY ADDING
OR SUBTRACTING
-6
x < -2
6
-2
y≤1
EXAMPLE
x
0
2
4
6
-6
-4
-2
0
2
4
6
NAME:_____________________
Inequalities
DATE :______________
According to the number line, which inequality is
shown?
According to the number line, which inequality is
shown?
A. X ≥ -2
A. X ≥ 4
B. X ≤ -2
B. X > 4
C. X > -2
D. X < -2
-3
-2 -1
0
1
2
3
C. X < 4
D. X ≤ 4
According to the number line, which inequality is
shown?
3
4
5
6
7
8
9
A number, x, is less than 7. Which inequality represents
this?
A. X < -3
A. X ≤ -7
B. X ≤ -3
C. X > -3
CLASS:______________
B. X < -7
-4
-3 -2 -1
0
1
2
C. X < 7
D. X ≥ -3
D. X ≤ 7
A number, x, is less than or equal to 6. Which inequality
represents this?
Solve the inequality for x.
-3x < 42
A. X < -14
B. X < 14
A. X ≥ 6
C. X > 14
B. X ≤ 6
D. X > -14
C. X < 6
D. X > 6
A number, x, is greater than -1. Which inequality
represents this?
Solve the inequality for x.
x - 8 > -29
A. X > -37
B. X > -21
A. X > 1
C. X > 21
B. X < -2
D. X > 37
C. X < -1
D. X > -1
67
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