summerboost playbook for future 6th through 8th graders!
DESCRIPTION
IDEA Public Schools wants our students to stay academically active over the summer so that they do not regress but instead see progress. #IDEASummerBOOST is intended to fuel this summer learning. Your child should have received a copy before the last day of school, but if s/he did not, please download a copy and get started.TRANSCRIPT
SummerboostI D E A P U B L I C S C H O O L S
Playbookfuture 6th - 8th Graders
SUMMER2015
NAME: ___________________________________ SCHOOL: ______________________________
SummerboostI D E A P U B L I C S C H O O L S
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.
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 great news is that IDEA Public Schools has established SummerBoost to combat this with the support of an at-home summer education guide -- this playbook!
Your child was sent home with this playbook with engaging, fun activities that help prevent the summer learning loss referenced above. One of the key elements for this home component is completing the Power Hour at home with the playbook. The Power Hour is simple, your child simply engages in a minimum of 20 minutes of Reading, 20 minutes of Writing, and 20 minutes of Math every day over the summer from June 1 through August 9, the eve of the first day of school.
Summer learning is meant to be enjoyable and we do not want students to have to struggle. We want reading, writing, and math to be fun and exciting.
The enclosed playbook includes: required reading lists, open response journals, math activities and more.
Sincerely,
Summer BOOST 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 IDEA Public Schools ha establecido SummerBoost para combatir esto con el apoyo de una guía de la educación en el hogar de verano - Este libro de jugadas!
Su hijo fue enviado a casa con este libro de jugadas con actividades divertidas, atractivas que ayudan a prevenir la pérdida de aprendizaje durante el verano. Uno de los elementos clave de este medioambiente casero es sumergir a su hijo/a en la Power Hour en casa con el libro de jugadas. El Power Hour es simple, su hijo simplemente tiene que dedicar un mínimo de 20 minutos de lectura, a 20 minutos de la escritura, y 20 minutos de matemáticas todos los días durante el verano del 1 de junio al 9 de agosto, la víspera del primer día de clases.
El aprendizaje de verano está destinado a ser agradable y no queremos que los estudiantes tengan que luchar. Queremos que la lectura, escritura y matemáticas sea divertido y emocionante.
El libro de jugadas incluye: listas de lecturas requeridas para el ano entrante, diarios de respuestas abiertas, actividades de matemáticas y más.
Atentamente,
Summer BOOST T eam
SummerBOOST
SummerboostI D E A P U B L I C S C H O O L S
Table of ContentsREADING 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
1
Number of words read: __________
Number of AR points to earn
(if internet access is available) _____ points
Number of books read(if access to the internet is limited) _____ books
Completed Writing Response Journals _____ journals
2
OnlineSoftware
Name of software
Grade Levels description URL log-in
Tumblebooks K - 6
Online collection of animated, talking pictue
books and chapter books
www.tumblebooks.com
Username:ideaps
Password:reads
AR (Accelerated
Reader)1 - 7
Once students complete a book, they log into this software to take a com-prehension quiz over the
book.
https://hosted274.renlearn.com/2406896
Username: School ID #
Password:ABC123
Reasoning Mind
2 - 5 (6th at IDEA
Carver)
Students should work through guided study or
wall of mastery. www.rmcity.org
Username: School ID #
Password:School Password
Think Through Math
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
Username:School ID #
Password:School Password
Spacial Temporal Math
from Mind Research Institute
6
Game-based instructional software designed to boost math comprehension and proficiency through visual
learning
http://web.stmath.com/entrance/
Username:School ID #
Password:School Password
FolletShelf 1 - 8 Online eBooks
https://ips.follettdestiny.com
(1. select your school, 2. enter username and
password, 3. select “FollettShelf” at top of
the screen)
Username:School ID#
Password:abc123
3
public libraries
PUBLIC LIBRARIESR I O G R A N D E VA L L E Y
Alamo Public Library416 N. Tower RoadAlamo, TX 78516(956) 787-6160
Harlingen Public Library410 76th Drive
Harlingen, TX 78550(956) 216-5800
Mercedes Memorial Library434 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 Library710 E Texano Dr
Hidalgo, TX 78557(956) 843-2093
Mission Public Library801 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 Library201 Palm Shores Blvd.
La Joya, TX 78560(956) 581-4533
Pharr Public Library121 E Cherokee Ave.
Pharr, TX 78577(956) 787-3966
Donna Public Library301 N. Main St.
Donna, TX 78537(956) 464-2221
McAllen Public Library (Main Library)
4001 N. 23rd St.McAllen, TX 78504
(956) 681-3000
San Benito Public Library101 W. Rose
San Benito, TX 78586(956) 361-3860
Edinburg Public Library401 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 Library1010 S Standard Ave. San Juan, TX 78589
(956) 702-0926
Elsa Public Library711 N. HidalgoElsa, TX 78543(956) 262-3061
McAllen Public Library (Palm View Branch)
3401 Jordan Ave.McAllen, TX 78503
(956) 681-3110
Weslaco Public Library525 S. Kansas Ave.
Weslaco, TX 78596(956) 968-4533
4
PUBLIC LIBRARIES
Faulk Central Library800 Guadalupe St.Austin, TX 78701(512) 974-7400
Howson Branch2500 Exposition Blvd.
Austin, TX 78703(512) 974-8800
Old Quarry Branch7051 Village Center Dr.
Austin, TX 78731(512) 974-8860
Carver Branch1161 Angelina St. Austin, TX 78702(512) 974-1010
Little Walnut Creek Branch835 W. Rundberg Ln.
Austin, TX 78758(512) 974-9860
Pleasant Hill Branch211 E. William Cannon Dr.
Austin, TX 78745(512) 974-3940
Cepeda Branch651 N. Pleasant Valley Rd.
Austin, TX 78702(512) 974-7372
Manchaca Road Branch5500 Manchaca Rd.
Austin, TX 78745(512) 974-8700
Hampton Branch At Oak Hill5125 Convict Hill Rd.
Austin, TX 78749(512) 974-99006
North Village Branch2505 Steck Ave. Austin, TX 78757(512) 974-9960
A U S T I N
5
PUBLIC LIBRARIES
Bazan Branch Library2200 W. Commerce
San Antonio, TX 78207Phone: (210) 207-9160
Guerra Branch Library7978 Military Drive WestSan Antonio, TX 78227Phone: (210) 207-9070
Mission Branch Library3134 Roosevelt Ave.
San Antonio, TX 78214Phone: (210) 207-2704
Brook Hollow Branch Library530 Heimer
San Antonio, TX 78232Phone: (210) 207-9030
Igo Branch Library13330 Kyle Seale PkwySan Antonio, TX 78249Phone: (210) 207-9080
Pan American Branch Library1122 W. Pyron Ave.
San Antonio, TX 78221Phone: (210) 207-9150
Carver Branch Library3350 E. Commerce
San Antonio, TX 78220Phone: (210) 207-9180
Johnston Branch Library6307 Sun Valley
San Antonio, TX 78227Phone: (210) 207-924
Parman Branch Library at Stone Oak20735 Wilderness OakSan Antonio, TX 78258Phone: (210) 207-2703
Cody Branch Library11441 Vance Jackson
San Antonio, TX 78230Phone: (210) 207-910
Landa Branch Library233 Bushnell
San Antonio, TX 78212Phone: (210) 207-9090
San Pedro Branch Library1315 San Pedro Ave.
San Antonio, TX 78212Phone: (210) 207-9050
Collins Garden Branch Library200 N. Park
San Antonio, TX 78204Phone: (210) 207-9120
Las Palmas Branch Library515 Castroville Rd.
San Antonio, TX 78237Phone: (210) 207-9200
Semmes Branch Library15060 Judson Rd.
San Antonio, TX 78247Phone: (210) 207-9110
Cortez Branch Library2803 Hunter Blvd.
San Antonio, TX 78224Phone: (210) 207-913
Maverick Branch Library8700 Mystic Park
San Antonio, TX 78254Phone: (210) 207-9060
Thousand Oaks Branch Library4618 Thousand Oaks
San Antonio, TX 78233Phone: (210) 207-9190
Forest Hills Branch Library5245 Ingram Rd.
San Antonio, TX 78228Phone: (210) 207-9230
McCreless Branch Library1023 Ada St.
San Antonio, TX 78223Phone: (210) 207-9170
Tobin Branch Library at Oakwell4134 Harry WurzbachSan Antonio, TX 78209Phone: (210) 207-9040
Great Northwest Branch Library9050 Wellwood
San Antonio, TX 78250Phone: (210) 207-9210
Memorial Branch Library3222 Culebra
San Antonio, TX 78228Phone: (210) 207-9140
Westfall Branch Library6111 Rosedale Ct.
San Antonio, TX 78201Phone: (210) 207-9220
S A N A N T O N I O
6
summer reading texts
8
english/language arts
These classic and modern texts are riveting, emotionally charged, and unforgettable. The summer months will never be the same again!
Every student should:
• Read the text(s) listed for their upcoming grade level
• Complete the summer reading assignment for the text (provided by the teacher)
• Begin school prepared to discuss the text (the first assessment is over the summer reading)
• Contact your campus’ English teacher if there are any questions
9th GradeThe Lord of
the Fliesby William Golding
12th
The Things They Carried
by Tim O’brien
10th GradeThe Kite Runner
by Khaled Hosseini
11th GradeThe Great Gatsby
by F. Scott Firzgerald&
The Autobiography of Malcom X: As Told
BY Alex Haley
6th GradeThe Watsons Go to
Birminghamby Christopher Paul Curtis
7th GradeThe Outsiders
by S.E. Hinton
8th GradeEnder’s Gameby Orson Scott Card
The Alchemist by Paulo Coelho
Bless Me, Ultima by Rodolfo Anaya
Flowers for Algernon by Daniel Keyes
The Adventures of Huckleberry Finn by Mark Twain
The Catcher in the Rye by J.D. Salinger
Also, 12th grade students must choose one of these additional texts:
9
Humanities Summer reading in Humanities creates a common culture and shared experience among students and gives them a framework for upcoming course content.
Every student should:
• Teachers will assign students to read at least one of the text(s) listed for their upcoming course.
• Complete the summer reading assignment for the text (provided by the teacher).
• Begin school prepared to discuss the text (the first assessment is over the summer reading).
• Contact your campus’ English teacher if there are any questions.
6th GradeA Long Walk to Water
by Linda Sue Park
Three Wishes: Palestinian and Israeli Children
Speak by Deborah Ellis
Journey to Jo ‘Burg-A South African Story
by Beverly Naidoo
One Day in the Tropical Rainforest
by Jean Craighead
ap human geography
Kiss the Dust by Elizabeth Laird
How Soccer Explains the World
by Franklin Foer
Fast Food Nation: The Dark Side of the All-
American Meal by Eric Schlosser
Nickel and Dimed: On Not Getting by in
America by Barbara Ehrenreich
From Columbus to ConAgra by Alessandro
Bonanno
ap World history
A History of the World in 6 Glasses
by Tom Standage
Guns, Germs and Steelby Jared Diamond
Year of the Hyenas: A Novel of Murder in
Ancient Egyptby Brad Geagley
The Creation of Patriarchy
by Gerda Lerner
Mexico: From the Olmecs to the Aztecs
by M. Coe & R. Koontz
ap US history
The Tragedy of American Diplomacy
by William Appleman Williams
A People’s History of the United Statesby Howard Zinn
Bury My Heart at Wounded Knee
by Dee Brown
The Cold Warby John Gaddis
Unbrokenby Lauren Hillenbrand
ap Government & economics
The Libery Amendments: Restoring the American
Repulicby Mark Levin
The Orange Book: Reclaiming Liberalism
Basic Economics 5th Ed: A Common Sense Guide to
the Economyby Thomas Sowell
Freakonomics: A Rogue Economist Explores the
Hidden Side of Everythingby S. Dubner and S. Levitt
1984by George Orwell
7th GradeThe Bugles are Silent
by John Knaggs
Lone Star: A history of Texas and the Texans
by T.R. Fehrenbach
Story of Texas by Edward Weems
The Circuit by Francisco Jimenez
8th GradeChains by Laurie Halse
and Forge by Laurie Halse
Blood on the River: Jamestown, 1607
by Elisa Carbone
The Fifth of March: A Story of the Boston
Massacre by Ann Rinaldi
The Slave Dancer by Paula Fox
10
Humanities power houruse 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
11
reADER RESPONSE JOURNAL ENTRIES
INSTRUCTIONS:
1. On the days listed on this sheet, we recommend you read 30 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 (cha-ching)! You will turn in your log when you return from summer to cash in for prizes!
12
Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
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Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
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Reader RESPONSEJOURNAL ENTRIES
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READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
Main Event!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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EAD
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EAD
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Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
DA
TE:
____
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__
MIN
UTE
S R
EAD
:___
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TITL
E:__
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ENT’
S SI
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RE:
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TE:
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16
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
DA
TE:
____
____
__
MIN
UTE
S R
EAD
:___
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TITL
E:__
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ENT’
S SI
GN
ATU
RE:
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TE:
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ES R
EAD
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Reader RESPONSEJOURNAL ENTRIES
17
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
Cinemark!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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PAG
ES R
EAD
:___
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E: _
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ENT’
S SI
GN
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TE:
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ES R
EAD
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ENT’
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Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
DA
TE:
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MIN
UTE
S R
EAD
:___
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TITL
E:__
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TE:
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19
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
DA
TE:
____
____
__
MIN
UTE
S R
EAD
:___
___
TITL
E:__
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PAR
ENT’
S SI
GN
ATU
RE:
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TE:
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ES R
EAD
:___
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E :_
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ENT’
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RE:
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Reader RESPONSEJOURNAL ENTRIES
20
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to a
restaurant of your cho
ice!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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PAG
ES R
EAD
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E: _
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ENT’
S SI
GN
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RE:
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TE:
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EAD
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RE:
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21
Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
DA
TE:
____
____
__
MIN
UTE
S R
EAD
:___
___
TITL
E:__
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22
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
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Reader RESPONSEJOURNAL ENTRIES
23
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
Best Buy!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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24
Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
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25
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
DA
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UTE
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Reader RESPONSEJOURNAL ENTRIES
26
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
Schlitterbahn!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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27
Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
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TE:
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MIN
UTE
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28
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
DA
TE:
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MIN
UTE
S R
EAD
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Reader RESPONSEJOURNAL ENTRIES
29
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
Main Event!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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PAG
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EAD
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30
Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
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UTE
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31
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
DA
TE:
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UTE
S R
EAD
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Reader RESPONSEJOURNAL ENTRIES
32
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
Target!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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PAG
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33
Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
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UTE
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34
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
DA
TE:
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UTE
S R
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Reader RESPONSEJOURNAL ENTRIES
35
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
Starbucks!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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PAG
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36
Reader RESPONSEJOURNAL ENTRIES
In 5 sentences, write about how you can connect your life to what you read today.
In 5 sentences, describe the setting of the text you are reading.
MONDAY:
TUESDAY:
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UTE
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37
Copy a quote from your book/text that has meaning for you, then explain the meaning and why you chose it in 5 sentences.
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!)
WEDNESDAY:
THURSDAY:
DA
TE:
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MIN
UTE
S R
EAD
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Reader RESPONSEJOURNAL ENTRIES
38
READER responseJournal Entries
In 5 sentences, explain what you like about this book so far.
In 5 sentences, explain what you dislike about this book so far.
What events in the story reminded you of another story you’ve read?
Take a picture of what you’re
reading, share it on social
media,
and tag #IDEASummerBoost for
the chance to win a gift ca
rd to
La Plaza Mall!
FRIDAY:
SATURDAY:
SUNDAY:
DA
TE:
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39
maTHFUN
PAGES
multiplying & Dividing decimalsMULTIPLYING WHOLE NUMBERS
BY DECIMALSDIVIDING DECIMALS BY
WHOLE NUMBERS
MULTIPLYING WHOLE NUMBERS BY DECIMALS
USING GRIDS TO MULTIPLY DIVIDING A DECIMAL BY A DECIMAL
• Add the number of decimal places in each factor. • Place the decimal point in the product
There are ______ sets of ______ tenths.
• Multiply as you would with whole numbers. • Add the number of decimal places in each factor.• Place the decimal point in the product.
• The overlapping squares that are shaded twice show the product of 0.6 x 0.3.
• Multiply as you would with whole numbers. How many 2 tenths are there in 3 wholes?
Multiply: 6 x 5.37 = m Divide: 3 ÷ 0.2 = p
Divide: 5.4 ÷ 0.8 = n
3 ÷ 0.2 = ____
Multiply: 6 x 5.37 = n
0.8 5.4 8. 54.
m=____
n=6.75
=
0.59 x 4.8=____
5.37x 6
___ decimal places
move decimal ___ places
___ decimal places+
0.59x4 .8
___ decimal places
move decimal ___ places
___ decimal places+
• Shade 0.6 of the grid
• Shade 0.3 of the grid with a different color or pattern in the other direction.
0.6 x 0.3 =___ or
1 2 3 4 5 1 2 3 4 5 1 2 3 4 5
VOCABULARY TERMS decimal multiply
decimal place power of 10
decimal point product
divide quotient
dividend tenth
divisor whole number
• Change the divisor and the divident to a whole number by multiplying each by the same power of 10.
• Divide as you would divide whole numbers. Add zeros as needed.
• Place the decimal point in the quotient directly above the decimal point in the dividend.
5.40.8
08. 54.00
42
multiplying & Dividing decimalsNAME:_____________________ DATE :______________ CLASS:______________
MULTIPLY:
MULTIPLY:
DIVIDE:
DIVIDE:
DIVIDE: MULTIPLY:
78.9x 14.0
$1.25x 23
80.1 ÷ 9 =
806.4 ÷ 0.6 =
13.86 ÷ 3.3 = 13.5 ÷ .35 =
A. 2,102.54B. 21.0254C. 210.254D. 2.10254
A. 1,104.6B. 11.4405C. 11,046D. 1.1046
A. 910B. 5460C. 105D. 312
A. $28.75B. $29.50C. $2,875D. $8.75
A. 89B. 0.89C. 8.9D. 9.1
A. 134.4B. 1,344C. 13.44D. 1.344
A. 42.0B. .42C. 4.2D. 40.2
A. 1,225B. .1225C. 1.225D. 12.25
Jenny works 17.5 hours a week at the library. How many hours does Jenny work in 52 weeks?
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?
17.5x 52
1.006x2.090
MULTIPLYING FRACTIONS
multiplying & dividing fractions
MODEL MULTIPLICATION
MODELING DIVISION DIVIDING FRACTIONS
VOCABULARY
denominator multiplydivide numeratordivisor productfraction reciprocalgreatest common factor (GCF) whole number
Multiply 3/4 x 2/3
Divide 9/16 ÷ 3/16 Divide 6 ÷ 2/3
Multiply 3/4 x 2/3
3/4 x 2/3 =
Therefore, 3/4 x 2/3 = _or _ The answer of 1/2 is
the simplest form.
Shade 3/4 of the rectangle.
Step 1: Multiply the numerators.Step 2: Multiply the denominators.
Step 1: Write the whole number as a fraction.
Step 2: Flip the divisor (2/3) upside down to find the reciprocal.
The reciprocal of 2/3 is
Step 3: Rewrite as multiplication using the reciprocal.
Step 4: Simplify before multiplying.
Step 3: Use the greatest common factor (GCF) to simplify the product, if necessary. The GCF of 6 & 12 is 6.
How many sets of 3/16 are there in 9/16?
There are ___ groups of 3/16 in 9/16?
Therefore 9/16 ÷ 3/16 =
Divide rectangle into thirds.
Shade 2/3 of the rectangle with a different color or pattern in the other direction. The overlapping sections
(green) that are shaded twice show the product of 3/4 x 2/3.
xx
=
=6/12
9/166 ÷ 2/3 = ÷
dividend divisor
x
x = =
44
multiplying & dividing fractionsNAME:_____________________ DATE :______________ CLASS:______________
What is the product of 4/7 x 1/9?
12 ÷ 4
20 ÷ 4
5/10 ÷ 4/6 =
You can reduce 12/20 to ___.
Divide the following fractions and reduce the quotient to its lowest terms.
A. 5/16B. 4/9C. 4/63D. 4/56
A. 4/17 B. 4/10C. 3.10
D. 3/70
A. correctB. incorrect
1/9
1/10
4/7
3/7
3/7 x 1/10 =
A. 12/17B. 32/56C. 32/56D. 35/63
A. 3/5B. 2/3C. 4/5D. 3/4
A. 1/3B. 20/30C. 30/40D. 3/4
A. correctB. incorrect
7/9
1/10
4/10
5/85/8 x 7/9 =
1/10 x 4/10 = 4/10
1/2 ÷ 4/5 = 1/2 x 5/4 =
3/10 ÷ 3/5 = 9/50
÷
÷
A. 4/10B. 8/5C. 2/5D. 5/8
Equal ratios: 4/1 = =
Ratio, proportion & Percents
RATIO
PROPORTION
PERCENT
Lemonade Making Directions
What percent of this grid is shaded.
A ratio is a comparison of two numbers. These numbers are called the terms of radio.
A _____________ is an equation showing that two ratios are equal. Ratios that are equal to each other are called ___________ ____________.
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.
Mix 4 parts water with 1 part lemon juice.
Change 4/5 to an equivalent fraction with a denominator of 100.
= water = lemon juice
Step 1: Count the number of green marbles: ___Count the number of blue marbles: ___
Step 2: Write a ratio to compare. Ratios can be written in three different ways.
Write a ratio to compare the number of green and blue marbles. RATIO FRACTION
FORMWORD FORM
USING A COLON
green to blue
blue to the total number of marbles
green to the total number of marbles
4/5 x = = %
1/10 x = % 1/4 x = % 1/2 x = %
to :
:
:
to
to
= = =÷ ÷ ÷= = =
VOCABULARYdenominatorequal ratioequivalent fractionfractionpercentproportionratio
1/51/51/51/5
3/4 x = % 10/10 x100/100= %
46
Ratio, proportion & percentsNAME:_____________________ DATE :______________ CLASS:______________
A. 6/20B. 20/6C. 20.6
D. 1/6
A. 10:5
B. 10 to 5
C. 5/10D. 1/5
A. 7:19
B. 7:28
C. 19:7
D. 19:24
A. 4:4
B. 1:4
C. 4:12
D. 1:12
A. 1/100B. 11/1000C. 11/100D. 11/10
A. 5/10B. 5/100C. 50/100D. 5/1
A. 30%
B. 3%
C. 300%
D. 0.3%
A. 10:7
B. 10 to 7
C. 7:10
D. 1/10
Another way to write 20 to 6 is ______. Write the percent as a fraction.
Write the percent as a fraction.
Write the fraction as a percent.
Another way to write the ratio 7/10 is
Another way to write 5:10 is ______.
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?
What is the ratio of to ?
11%
5%
3/100
SUBTRACTION
operations with mixed numbers
ADDITION
MULTIPLICATION DIVISION
VOCABULARYaddition
dividend
division
divisor
equivalent fraction
factor
fraction
improper fraction
least common denominator (LCD)
mixed number
multiplication
numerator
product
quotient
reciprocalsubtraction
Add 22/3 + 3 1/6 Add 22/3 + 3 1/6
Multiply 21/4 x 2/3 = m Multiply 12/3 x 1 3/7 = n
21/4 =
21/4 x 2/3 =
5/3 x 7/10 =
7/6 =
Step 1: Find the least common denominator (LCD) of 2/3 and 1/6.
Step 1: Write the mixed number as an improper fraction. Step 1: Write the mixed number as improper fractions.
Step 2: Rewrite as multiplication using the reciprocal of the divisor.
Step 3: Multiply the numerators and denominators and simplify.
Step 4: Write as a mixed number.
Step 2: Multiply the numerators and then denominators of the two factors.
Step 3: Simplify the product.
Step 4: Write the product as a mixed number if it is an improper fraction.
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.
Step 1: Find the LCD and write equivalent factions. LCD of 3/4 and 5/8 is .
Step 2: Subtract the fractionsfirst, then the whole numbers. Simplify the difference if necessary.
=
=
2 2/3
35/30
+3 1/6
=4 3/4
-2 5/8
12/3 = 13/7 =
=
+ -
2/3 multiples of 3: _,_,_,_,_,... 1/6 multiples of 6: _,_,_,_,_,...
=
=x
=
factor dividend
improper fraction
improper fraction
mixed number
mixed number
factor divisorproduct quotient
48
operations with mixed numbersNAME:_____________________ DATE :______________ CLASS:______________
A. 7 9/27B. 8 20/27C. 6 18/27D. 8 2/27
A. 17 11/12B. 18 11/13C. 17 11/24D. 18 22/24
A. trueB. false
A. 6 4/8B. 2 4/8C. 6 2/8D. 2 2/8
A. 5 35/55B. 3 35/55C. 1 100/105D. 2 20/21
A. 7 1/9B. 8 1/9C. 7 10/9D. 8 5/9
A. 10
B. 3 3/5C. 16
D. 9 3/5
A. 2 1/2
B. 21 3/4C. 2 5/12D. 2 7/12
Add 711/27 + 1 9/27 =
Add 9 10/12 + 8 1/12 = True or false?
Subtract 4 3/8 - 2 1/8 =
Subtract 12 4/5 - 3 1/5 =
7 1/4 ÷ 3 = 29/4 ÷ 3/1 = 29/4 x 1/3 =
6 1/5 ÷ 2 1/10 = 31/5 ÷ 21/10 = 31/5 x 10/21 =
5 5/9 + 2 5/9 =
2 2/5 x 4 1/6 = 12/5 x 25/6 = 300/30 = 10
introduction to algebra
ALGEBRAIC EXPRESSIONS
TRANSLATING WORD PHRASES INTO ALGEBRAIC EXPRESSIONS
SOLVING EQUATIONS
EVALUATING ALGEBRAIC EXPRESSIONS
An algebraic expression is a mathematical phrase consisting of variables, numbers and operations.
To evaluate algebraic expressions, replace the variable with a number.
An equation is a mathematical sentence which shows that two expressions or values are equal.
Think of an equation as a balance scale.
Solve the equation to find the value of the variable that makes the equation true. The value of the variable is called the solution.
What number plus 16 equals 28?
Replace m with in the expression.
The letter m is a _____________ which represents an unknown number.
3 x 2m = is an _______ ________
evaluate m + 5 for m = 4
solve 16 + m = 28
+ 16 = 28 = 28
solution m =
+ 5 =
m + 16 28=
m + 5
Examples of Algebraic ExpressionsAddition:Subtraction:
Multiplication:
Division:
Operation Word Phrase Algebraic Expression
Addition
Subtraction
Multiplication
Division
A number plus 9The sum of m and 99 more than a numbera number increased by 9The difference between a number and 9
A number minus 99 less than a numberA number decreased by 9
9 more than twice a number2 x a numberA number multiplied by 2The product of 2 and a number
A number divided by 99 divided by a numberThe quotient of a number and 9
expression expressionequal sign
28m 16
VOCABULARYalgebra
algebraic expressions
difference
equation
increase
more
plus
product
quotient
solution
sum
variable
50
Introduction to algebraNAME:_____________________ DATE :______________ CLASS:______________
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.
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.
Evaluate the following equation then choose the answer that best completes the equation.
A. 7B. 8C. 9D. 10
A. 2B. 3C. 4D. 5
A. 9B. 8C. 7D. 6
A. 1B. 5C. 7D. 9
A. 2B. 3C. 4D. 5
11 - x = 4; x = 5 x r = 25; r =
16 - 9 = x; x =
t x 2 = 14; t =
9 = 3 x y; y =
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.
Evaluate the following equation then choose the answer that best completes the equation.
A. 10B. 8C. 3D. 9
A. 8B. 9C. 10D. 11
A. 5B. 10C. 15D. 20
15 + y = 23; y =
x - 7 = 3; x =
30 = c + 15; c =
It is __________that the spinner
will land on a green section;
and ___________ that it will land
on a yellow section.
There is an ______ ______
that the spinner will land on a green
or
yellow section.
It is ______ ______that the
spinner will land on a green section;
and ______ ______that it will
land on a yellow section.
On which color is the spinner more likely to land?
probability concepts
ALGEBRAIC EXPRESSIONS
FINDING PROBABILITIES
The probability of an event shows the __________ that some event will occur. An event is all the possible __________.An impossible event has a probability of __________.A certain event has a probability of ___.
You can determine the probability of an event by comparing the number of favorable outcomes with the total number of possible outcomes.
If you pick 2 balls from the bag, what is the probability that they will be red and green?
probability of picking a red ball
probability of picking a green ball
probability of picking a red & a green ball
When we toss a number cube, there are possible different outcomes. It can show either __,__,__,__,__ or __.
probablity of an eventnumber of favorable outcomes
number of possible outcomes=
What is the probability that you will pick a red ball?
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 =
= =
= =
= =
= + =
VOCABULARYcertain
chance
even chance
event
favorable outcome
impossible
less likely
more likely
possible outcome
probability
52
probability conceptsNAME:_____________________ DATE :______________ CLASS:______________
On the spinner, what is the probability of spinning the letter F?
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?
On this spinner, what is the probability of spinning the letter G?
If one is chosen at random from the work knickknack, the probability that the letter “a” is chosen is 1 out of ______.
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. 7 out of 1B. 1 out of 7C. 7 out of 7D. 4 out of 7
A. 14 out of 51B. 14 out of 14C. 14 out of 10D. 4 out of 10
A. 7 out of 7B. 3 out of 7C. 10 out of 7D. 7 out of 10
A. 9B. 8C. 10D. 11
A. 3B. 5C. 18D. 10
On this spinner, what is the probability of spinning the letter H?
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?
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. 8 out of 11B. 3 out of 5C. 3 out of 11D. 3 out of 8
A. 13 out of 30B. 2 out of 30C. 13 out of 13D. 2 out of 13
A. 1 out of 6B. 6 out of 6C. 5 out of 6D. 4 out of 6
A C
E
GF
B
D
H F
G
GC
G
B
FJ
H
KJ
H
K
L
CIRCLES & RELATED FIGURES
lines, angles & circles LINES
ANGLES
MEASURING ANGLES DRAWING ANGLES
POINT LINE LINE SEGMENT RAY ANGLEdefine define
center
define define define
example example example example example
FD
E
A
H
G I
VOCABULARYacute angle point
angle protractor
circle radius
cord ray
diameter right angle
line straight angle
line segment straight line
obtuse angle vertex
A
B
C
Measure BAC
Step 1: Place the center point of the protractor over the vertex (corner) of the angle.
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.
FD
CBA
E
AB is a ______________.
AC is a ______________.
EF is a ______________.
DBC is a _____________.
Step 1
Step2
Step 3
Step 4
Step 5
54
lines, angles & circlesNAME:_____________________ DATE :______________ CLASS:______________
You may use a protractor to measure the following angle.
You may use a protractor to measure the indicated angle for the geometric shape.
The radius is one-half the diameter. True or false?
The PNO equals 5 degrees, what is the measure of MNP?
If the measure of LOM equals 135 degrees, what is the measure of MON?.
A. 360 degrees
B. 180 degrees
C. 90 degrees
D. 45 degrees
A. 120˚
B. 360˚
C. 90˚
D. 60˚
A. True
B. False
A. 5˚
B. 75˚
C. 85˚
D. 175˚
A. 55˚
B. 45˚
C. 315˚
D. 225˚
The measure of the following angle is less than 90 degrees. True or false?
Identify the angle as right, straight, obtuse, or acute.
You may use a protractor to measure the indicated angle for the geometric shape?
A. True
B. False
A. obtuse
B. right
C. acute
D. straight
A. 108˚
B. 90˚
C. 120˚
D. 60˚
Y
H
P
M
O
N
N
O
M
L
diam
eter
radius
slope
GRAPHING LINEAR FUNCTIONS IDENTIFYING SLOPE & Y-INTERCEPT OF A LINE
Slope is used to describe _______________________________________________________________________________________________.
The slope of a line can be found by dividing the _________ by the __________.
A horizontal line has a slope of ___________.
A vertical line has ____ _______.
A line with a __________ slope resembles a line going uphill.
A line with a __________slope resembles a line going downhill.
The graphs of linear equations are straight lines.
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.
The slope-intercept form of a linear equation is:
The y-intercept is the y-value at which the line
crosses the __________.
=Slope
=rise=run
VOCABULARYcoordinate
function
incline
linear equation
rise
run
slope
x-axis
y-axis
y-intercept
y = mx + bslope y-intercept
run:
rise:Graph: y = -1/4x + 3
( , )
( , )
y
y
y-axis
x-axis
x
x
= =Slope
56
slopeNAME:_____________________ DATE :______________ CLASS:______________
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)?
What is the slope of the line shown?
According to the graph shown, what are the y-values for the x-values of 5,6, and 7?
A. positiveB. negativeC. zeroD. undefined
A. y = -2x + 5B. y = -5x + 2C. y = 5x - 2D. y = 5x +2
A. y = 3x + 9B. y = -9x - 3C. y = 9x - 3D. y = -3x + 9
A. y = 5x - 7B. y = 5x + 7C. y = -7x + 5D. y = -7x - 5
A. -2,-4,-6B. 2.4.6C. 0,2,4D. 0,-2,-4
A. positiveB. negativeC. zeroD. undefined
A. 4B. 3C. -3D. -4
What is the equation of the line with a slope of 5 and a y-intercept of -2?
What is the equation of the line with a slope of -3 and a y-intercept of 9?
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 + 4B. y + 4x - 1C. y = 4x +1D. y = x + 4
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
___________.
__________was one of the first mathematicians to recognize the
relationship between the sides of a right triangle. The special relationship
forms the __________ ____________ .
The Pythagorean Theorem states ____________
__________________________________
______________________________.
According to the Pythagorean Theorem, the sum of
the two green squares, is equal to the area of the
blue square.
Therefore in algebraic terms, the
Pythagorean Theorem is stated as:
Find the length of the hypotenuse (C).
VOCABULARYangle
hypotenuse
leg
Pythagorean Theorem
right triangle
side
THE PYTHAGOREAN THEOREM
USING THE PYTHAGOREAN THEOREM
SQUARE A
SQUARE C
SQUARE B
a c
b
=Area of square A=Area of square B
=Area of square C
=+
=+=+
=+
===
C3cm
4cm
C
a2 b2 c2
Substitute for the known variables.
Take the square root of both sides.
The length of the hypotenuse.
58
The Pythagorean TheoremNAME:_____________________ DATE :______________ CLASS:______________
In the figure shown, CB is one of the legs. True or false?
In the figure shown, JLK is right angle. True or false?
Based on the figure shown, how long is the hypotenuse?
Based on the figure shown, how long is the hypotenuse?
A. trueB. false
A. 6 mB. 8 mC. 10 mD. 100 m
A. 5 cmB. 12 cmC. 13 cmD. 17 cm
A. trueB. false
A. 3.600 cmB. 1,296 cmC. 60 cmD. 36 cm
A. 20 cmB. 26 cmC. √635 cmD. √685 cm
A. 17 ftB. 15 ftC. 14 ftD. 13 ft
How long is the hypotenuse in the triangle shown?
What is the measure of the longer leg of the triangle shown?
In a right triangle, one leg measures 3 inches and the other leg measures 4 inches. What is the length of the hypotenuse?
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?
A. 3 in.B. 4 in.C. 5 in.D. 14 in.
C
A B
36cm
20cm
48cm
15cm
c
c
L
KJ
8m
5cm 12cm
13m
10m
5ft
12ft
6m
a2 + b2 = c2
a2 + b2 = c2
a2 + b2 = c2a2 + b2 = c2
Introduction to probability
Probability is the possibility that
a _______ ________will
occur. An event that is certain to
occur has a probability of ___.
An event that cannot occur has
a probability of ___. Therefore,
the probability of an event
occurring is always between
___ and ___.
EXPERIMENTAL PROBABILITY
INDEPENDENT EVENTS
COMBINATIONS
THEORETICAL PROBABILITY
DEPENDENT EVENTS
PERMUTATIONS
WHAT IS PROBABILITY?VOCABULARY
certain
combination
dependent event
event
experimental probability
favorable outcome
impossible
independent eventlikelyoutcome
permutation
possible outcome
probability
theoretical probability
unlikely
Experimental probability is ______________________________
__________________________________.
Theoretical probability is _______________________________
__________________________________.
Probability is _________________________________________
___________________________________.
A combination is ______________________________________
___________________________________.
The number of ways that an event can occur depends on the
order. A permutation is _________________________________
_____________________.
The dependent event is _________________________________
__________________________________.
experimentalProbability
P (a and b) = P (a) • P (b) P (a and b) = P (a) • P (b after a)
Probability of two independent variables.
Example: How many different combinations can be made when picking 2 letters out of the word DOG?
Example: Arrange 3 students in 3 chairs.
Probability of two dependent variables.
theoretical probability
number of times an event occurs
number of favorable outcomes
total number of trials
total number of possible outcomes
≈ ≈
probability of both events
There are ___ possible letter combinations:DG, OD, GO
Cross out the duplicates.
probability of both events
probability of first event
probability of first event
probability of second event
Probability of second event
DOG
321
• •• •• •• •• •• •
3 • 2 • 1 or 3! =
Impossible
Unlikely
fraction
decimal
percent
Likely
As likely as not Certain
0
0
0%
11/4 1/2 3/4
60
Introduction to probability NAME:_____________________ DATE :______________ CLASS:______________
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?
There are 52 cards in a standard deck of cards, what is the probability of picking a 3?
A letter is picked from the word MISSISSIPPI. What is the probability of picking an “S”?
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?
A die is rolled and a coin is flipped. What is the probability of getting a 2 or a head?
A. TrueB. False
A. 1/52B. 2/52C. 3/52D. 4/52
A. 1/2B. 1/4C. 4/11D. 4/12
A. 8%B. 50%C. 58%D. 67%
A. 54%B. 53%C. 47%D. 50%
If an event is most likely to happen, the probability gets closer to___________.
The probability that 14-year old Joe did not have a birthday last year is _______.
The Angels soccer team has a 75% chance of making the playoffs. What does that mean?
A. 0B. 0.25C. 0.50D. 1
A. 0
B. 1/12C. 1/2D. 1
A. They certainly will not make the playoffs.B. They most likely will not make the playoffs. C. They most likely will make the playoffs. D. They certainly will make the playoffs.
all about percents
The percent means _________.
It is the ratio of a number to 100.
The symbol ___ is then added after a
number to indicate that it is a percent.
Write percent as a fraction
with a denominator of 100.
Simplify, in needed.
Write the percent as a fraction
with a denominator of 100.
Convert the fraction to a
decimal.
Write an equivalent fraction
with a denominator of 100.
Write the fraction as a percent.
Write the decimal as a fraction.
Write the decimal as a percent
by moving the decimal point
two places to the right.
Percents can be written as
decimals or fractions. VOCABULARY
decimaldecimal pointdenominatorequationequivalent fractionfractionpercent proportion
Fraction Decimal Percent
0. 10%
0. 25%
0. 33.3%
0. 50%
0. 75%
0. 100%
PERCENTS AS FRACTIONS
PERCENTS AS DECIMALS
DECIMALS AS PERCENTS
FRACTIONS AS PERCENTS
= = =
=
=
= = =
=
20%
What is 57% of 80?
57100 m
10036 = 15% • m=
= = == = =
= ==
=m80
m mm
3570
35 is what percent of 70? 36 is 15% of what number?
23% 0.09••
• •
• •
• • ••
3/5
SOLVING PROBLEMS USING PERCENTSDETERMINING THE PERCENT OF A NUMBER USING PROPORTIONS USING EQUATIONS
57% of 80 is ___ 35 is ___ of 70 36 is 15% of ___
62
all about percents NAME:_____________________ DATE :______________ CLASS:______________
What is the fraction 2/3 as a percent? One hundred twenty-five is what percent of 500?
What is 150% of 280?
In the month of July, the temperature was above 90˚ about 26% of the time. How many days was the temperature above 90˚?
A. 5B. 6C. 7D. 8
A. 84.0B. 88.2C. 840D. 882
What is the decimal 0.84 as a percent?
What is 30% of 20? What is 280% of 315?
What is 42.5% as a fraction?
A. 4.8%B. 8.4%C. 48%D. 84%
A. 450B. 420C. 45D. 42
A. 33.3%B. 66.7%C. 75%D. 80%
A. 20%B. 25%C. 27%D. 303%
A. 4B. 5C. 6D. 8
A. 17/40B. 18/40C. 21/50D. 22/50
a/b = p/100
finding volumeVOLUME OF PRISMS
VOLUME OF PRISMS VOLUME OF PRISMS VOLUME OF PRISMS
VOCABULARYcone
cylinder
diameterpi (π)prismpyramid
radius
rectangular prism
spheretrianglevolume
V ≈ 3.14•__•__V ≈ 3.14•__•__V ≈ ________
(l)
VOLUME OF CYLINDERS
v = π r2hπ ≈ 3.14diameter (d) = ____
radius (r) = ____
radius (r) = ____
r = ____
V = l x w x hV = __ •__•__V = __
5 cm
3 cm
3 cm
(w)
(h )
Rectangular Prism
4 cm12 cm
Prism
7 cm
Since the bases are triangles, the area
of each triangle is:
B = 1/2b • h, or 1/2•__•__=__
V = base area (b)•height (h)
V = __V = __•__
V = 1/3 π r2 h
V ≈ 1/3 • 3.14•__ •__V ≈ 1/3 • 3.14•__ •__V ≈ __________
V = 4/3 π r3
V ≈ 4/3 • 3.14 •__V ≈ 4/3 • 3.14 •__V ≈ __________
V = 1/3B • hB= l • h
V ≈ 1/3 • __•__V ≈ __________
3 cm
3 cm8 cm
8 cm
4 cm6 cm
(h)(h)
(r)
(r)
64
12 in24 in
10 in
finding volume NAME:_____________________ DATE :______________ CLASS:______________
In the figure shown, each cube equals 1 unit. What is the volume of the figure?
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?
What is the volume of the pyramid shown?
If the volume of a sphere is 38,772.72 cm3, what is it’s approximate diameter.
A. 21 cmB. 33 cmC. 42 cmD. 66 cm
A. 329 in3
B. 1,236.4 in3
C. 1,854.6 in3
D. 3,461.9 in3
What is the volume of the prism shown?
What is the volume of the prism shown? What is the volume of the cone shown?
The volume of the cylinder shown is 5,836.26 cm3. The height is 11 cm. What is the radius of the cylinder?
A. 5,400 cm3
B. 8,100 cm3
C. 12,150 cm3
D. 40,500 cm3
A. 1,372 cm
B. 2,058 cm3
C. 3,087 cm3
D. 4,116 cm3
A. 14 units3
B. 22 units3
C. 25 units3
D. 40 units3
A. 2 inB. 6.5 inC. 8 inD. 13 in
A. 360 in3
B. 720 in3
C. 1,440 in3
D. 2,880 in3
A. 13 cmB. 15 cmC. 26 cmD. 169 cm
V = l x w x h
V = l x w x h V = 1/3Bh, where B is the area of the base.
V = (1/2) x l x w x h
45 cm
30 cm
6 cm
h = ?
h = 21 cm
h = 21 in
d = x
V = 38,772.72 cm3
7.5 in
14 cm
6.5 in
v = π r2h v = π r2h
v = π r2h
v = π r2h
π ≈ 3.14 π ≈ 3.14
π ≈ 3.14
π ≈ 3.14
11 cm
v = 5,837,26 cm3
numerical & Geometric Proportions
Numerical Proportions compare two ___________
_______________.
Geometric proportions compare two ______
____________.
Similar figures have equal corresponding ________
and corresponding ___________ that are in
__________________.
Identify the corresponding sides in the two triangles.
Use ratios of the corresponding sides to determine whether
the triangles ∆GHI and ∆JKL are similar.
The triangles are _________ since their corresponding
sides are _____________.
An equation with two equal
ratios is called a proportion.
A cross product is the product of the
________ in one ratio and the _______
in the other ratio.
Cross Product Rule
Ratios are used to compare quantities with the
___________ _______________.
_______ are used to compare quantities measured with
different units.
_______ __________ are used to find a missing
quantity in a proportion.
NUMERICAL PROPORTIONS
GEOMETRIC PROPORTIONS
Determining whether two triangles are similar.
m5
ab
36
35=
=
=
===
=
= ==? =?
124
c4
12
610
m
•
•
•Cross multiply.
Divide each side by __ to isolate the variable.
When two ratios are equal, then the cross product, a • d and b • c are ________.
corresponds to
corresponds to
corresponds to
VOCABULARYcorresponding angle
corresponding side
cross multiply
cross product
denominator
equation
equivalent
geometric proportion
numerator
numerical proportion
proportion
rate
ratiosimilar figuretriangle
variable
H K
L JG I
24 cm
12 cm
16 ft6 cm
3 cm
4 cm
B
CA E
DF
66
B
D
F E C
A B
A
CF
ED
Numerical & geographic proportionsNAME:_____________________ DATE :______________ CLASS:______________
What is x is to 45 as 9 is to 90 written in a proportion? The figure shown is of similar triangles. True or false?
In the figure shown, the triangles are similar. True or false?
Given the similar polygons show, which side corre-sponds to side DF?
A. EF
B. AC
C. AB
D. BC
A. 27˚
B. 42˚
C. 53˚
D. 95˚
A. true
B. false
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?
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?
The quotient of 2 yards / 8 feet is a ratio. True or false?
A. 1/35 = x/5B. x/5 = 35/1C. 1/5 = x/35D. 35/5 = 1/x
A. x/9 = 90/45B. x/45 = 90/9C. x/45 = 9/90D. 45/x = 9/90
A. 2 cups / 3 cups = 16 people / x
B. 2 cups / 16 people = x / 80 people
C. 3 cups / 16 people = 80 people/x
D. 3 cups / 16 people = x / 80 people
A. true
B. false
12 m
4 m
2 m
6 m
30 cm
41˚110˚
29˚
20 cm
10 cm
15 cm
10 cm
5 cm 110˚30˚
40˚A. true
B. false
28 ft
18 ft
12 ft21 ft
24 ft
16 ft
95˚
65˚ 58˚
58˚ 65˚
57˚57˚
95˚
32˚
exponents, factors & multiples
An exponent tells how many times to multiply a number,
called base, by itself.
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.
The Prime Factorization of 120 is
Powerof ten
standard form scientific notation
A number written with a base and an exponent is in
exponential form.
Prime factorization is ________________________
_______________________________________
___________________.
A prime number has exactly two factors: ______ and
____________.
A _________ __________ has more than two factors.
EXPONENTS
PRIME FACTORIZATION
PRIME FACTORIZATION OF 120
POWER OF TENS & SCIENTIFIC NOTATION
VOCABULARYbase multiple
composite number power of ten
exponent prime factorization
exponential form prime number
factor scientific notation
greatest common factor standard form
least common factor
GREATEST COMMON FACTOR LEAST COMMON FACTOR
43 = __ x __ x __ = ___ 104 = __ x __ x __ = ___
36 = __,__,__,__,__,__,__,__,__ 5 = __,__,__,__,__,__,...
54 = __,__,__,__,__,__,__,__ 6 = __,__,__,__,__,__,...
2,380,000 = _____ x _____
• •
• • •
• •
• • • • = • •
120
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
The GCF is ________ The LCM is ________
68
exponents, factors & multiples NAME:_____________________ DATE :______________ CLASS:______________
Numbers that have only two factors are_______? What is the prime factorization of 1,440?
To simplify a fraction, divide the numerator and denominator by their _______.
17 = 1 x 1 x 1 x 1 x 1 x 1 x 1 = ___
A. 7B. 1C. 100D. 8
A. 1,728B. 144C. 1,600D. 360
Writing a number as a product of prime numbers is called _______.
What is the prime factorization of 72? 123 = 12 x 12 x 12 =
What is the prime factorization of 368?
A. compositeB. factoringC. prime factorizationD. distributing
A. Greatest Common FactorB. Least Common MultipleC. productD. sum
A. compositeB. primeC. evenD. factors
A. 5 x 4 x 32 x 2B. 5 x 42 x 3 x 2C. 5 x 4 x 32 x 2D. 52 x 42 x 3 x 2
A. 23 x 32
B. 22 x 33
C. 2 x 33
D. 23 x 3
A. 23 x 21B. 25 x 23C. 24 x 21D. 24 x 23
INEQUALITIESAn _____________ is a mathematical sentence that
does not have an exact solution. Instead, a range of
solutions will satisfy the inequality.
All the solutions of an inequality with more than one solution
are called ___________ _____.
________________ are used in many real-world
situations. An example is a driving speed sign with a
number which tells you that your speed must be ≤65 mph.
An ______ ______ is used when
the variable is > or < a number. Graph each inequality separately.
Solve an addition or subtraction inequality
the same way as you would solve an
__________.
When you multiply or divide both sides of an
inequality by a negative integer, _______ the
direction of the ______ _________.
A ______ ______ is used when
the variable is ≥ or ≤ a number. Combine both graphs.
An inequality uses one of the following symbols, instead of
an equal sign:
VOCABULARYclosed circle open circlecompound inequal-ity simple inequality
greater than solutiongreater than or equal to solution set
less than variable
less than or equal to
negative integer
SYMBOL MEANING EXAMPLEGreater thanMore than above
less than fewer thanbelow
greater than or equal tono less thanat least
less than or equal tono more thanat most
GRAPHIC SIMPLE INEQUALITIES
SOLVING INEQUALITIES BY ADDING OR SUBTRACTING
SOLVING INEQUALITIES BY MULTIPLYING OR DIVIDING
GRAPHIC COMPOUND INEQUALITIES
x > -4
x + 3 ≥ 5 -2x > 6-2x < 6
x ≥x
x ≥ 1 x < -2
y ≤ 1
-6 -4 -2 0 2 4 6
-6 -4 -2 0 2 4 6 -6 -4 -2 0 2 4 6
-2 0 2 4 -4 -2 0 2
-6 -4 -2 0 2 4 6 -6 -4 -2 0 2 4 6
70
Inequalities NAME:_____________________ DATE :______________ CLASS:______________
According to the number line, which inequality is shown?
According to the number line, which inequality is shown?
A number, x, is less than 7. Which inequality represents this?
A number, x, is less than or equal to 6. Which inequality represents this?
A number, x, is greater than -1. Which inequality represents this?
According to the number line, which inequality is shown?
Solve the inequality for x.-3x < 42
Solve the inequality for x.x - 8 > -29
A. X < -3
B. X ≤ -3
C. X > -3
D. X ≥ -3
A. X ≤ -7
B. X < -7
C. X < 7
D. X ≤ 7
A. X ≥ 6
B. X ≤ 6
C. X < 6
D. X > 6
A. X > 1
B. X < -2
C. X < -1
D. X > -1
A. X ≥ -2
B. X ≤ -2
C. X > -2
D. X < -2
A. X ≥ 4
B. X > 4
C. X < 4
D. X ≤ 4
A. X < -14
B. X < 14
C. X > 14
D. X > -14
A. X > -37
B. X > -21
C. X > 21
D. X > 37
-3 -2 -1 0 1 2 3
-4 -3 -2 -1 0 1 2
3 4 5 6 7 8 9
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