S
20UMM 15 ER
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 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 Team
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 Team
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
K-6
Online collection of animated, talking pictue books and chapter books
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
Tumblebooks
Think Through Math
Spacial Temporal Math
from Mind Research Institute
6
Game-based instructional software designed to boost math comprehension and proficiency through visual learning
URL
www.tumblebooks.com
https://hosted274.ren learn.com/2406896
1-8
Online eBooks
2
Username: ideaps Password: reads Username: School ID # Password: ABC123 Username: School ID # Password: School Password
http://web.stmath.com/ entrance/
https://ips.follettdesti ny.com FolletShelf
log-in
(1. select your school, 2. enter username and password, 3. select “FollettShelf” at top of the screen)
Username: School ID # Password: School Password Username: School ID # Password: School Password
Username: School ID# Password: abc123
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
summer reading texts
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
6th Grade The Watsons Go to Birmingham by Christopher Paul Curtis
9th Grade The Lord of the Flies
by William Golding
7th Grade The Outsiders
8th Grade Ender’s Game
by S.E. Hinton
10th Grade The Kite Runner by Khaled Hosseini
by Orson Scott Card
11th Grade The Great Gatsby by F. Scott Firzgerald &
The Autobiography of Malcom X: As Told BY Alex Haley
Also, 12th grade students must choose one of these additional texts: 12th The Things They Carried by Tim O’brien
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
8
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 Grade A Long Walk to Water
7th Grade The Bugles are Silent
Three Wishes: Palestinian and Israeli Children Speak
Lone Star: A history of Texas and the Texans
by Linda Sue Park
by John Knaggs
by T.R. Fehrenbach
by Deborah Ellis
by Edward Weems
Blood on the River: Jamestown, 1607 The Fifth of March: A Story of the Boston Massacre
The Circuit
by Beverly Naidoo
by Laurie Halse
by Elisa Carbone
Story of Texas
Journey to Jo ‘Burg-A South African Story
8th Grade Chains by Laurie Halse and Forge
by Francisco Jimenez
by Ann Rinaldi
One Day in the Tropical Rainforest
The Slave Dancer by Paula Fox
by Jean Craighead
ap human geography
ap World history
ap US history
ap Government & economics
Kiss the Dust by Elizabeth Laird
A History of the World in 6 Glasses by Tom Standage
The Tragedy of American Diplomacy by William Appleman Williams
The Libery Amendments: Restoring the American Repulic by Mark Levin
A People’s History of the United States by Howard Zinn
The Orange Book: Reclaiming Liberalism
How Soccer Explains the World by Franklin Foer
Guns, Germs and Steel by Jared Diamond
Fast Food Nation: The Dark Side of the AllAmerican Meal by Eric Schlosser
Year of the Hyenas: A Novel of Murder in Ancient Egypt by Brad Geagley
Nickel and Dimed: On Not Getting by in America by Barbara Ehrenreich
The Creation of Patriarchy by Gerda Lerner
From Columbus to ConAgra by Alessandro Bonanno
Bury My Heart at Wounded Knee by Dee Brown
Mexico: From the Olmecs to the Aztecs by M. Coe & R. Koontz
9
Basic Economics 5th Ed: A Common Sense Guide to the Economy
by Thomas Sowell
The Cold War by John Gaddis
Freakonomics: A Rogue Economist Explores the Hidden Side of Everything
Unbroken by Lauren Hillenbrand
by S. Dubner and S. Levitt 1984 by George Orwell
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
10
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 (chaching)! You will turn in your log when you return from summer to cash in for prizes!
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: PARENT’S SIGNATURE: PARENT’S SIGNATURE:
TITLE: _______________________________ TITLE :________________________________ TITLE :________________________________
DATE: __________ PAGES READ:______
DATE: __________ PAGES READ:______
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?
14
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan ent! Main Ev
________________________________________
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.
In 5 sentences, explain what you dislike about this book so far.
SATURDAY:
What events in the story reminded you of another story you’ve read?
SUNDAY:
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan k! Cinemar
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: PARENT’S SIGNATURE: PARENT’S SIGNATURE:
TITLE: _______________________________ TITLE :________________________________ TITLE :________________________________
DATE: __________ PAGES READ:______
DATE: __________ PAGES READ:______
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?
20
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________________________________________
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.
In 5 sentences, explain what you dislike about this book so far.
SATURDAY:
What events in the story reminded you of another story you’ve read?
SUNDAY:
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan ! Bes t Buy
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: PARENT’S SIGNATURE: PARENT’S SIGNATURE:
TITLE: _______________________________ TITLE :________________________________ TITLE :________________________________
DATE: __________ PAGES READ:______
DATE: __________ PAGES READ:______
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?
26
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan bahn! Schlitter
________________________________________
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: PARENT’S SIGNATURE: PARENT’S SIGNATURE:
TITLE: _______________________________ TITLE :________________________________ TITLE :________________________________
DATE: __________ PAGES READ:______
DATE: __________ PAGES READ:______
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?
29
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan ent! Main Ev
________________________________________
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.
In 5 sentences, explain what you dislike about this book so far.
SATURDAY:
What events in the story reminded you of another story you’ve read?
SUNDAY:
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan Target!
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.
In 5 sentences, explain what you dislike about this book so far.
SATURDAY:
What events in the story reminded you of another story you’ve read?
SUNDAY:
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan s! Starbuck
35
________________________________________
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.
36
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!)
37
_________________________________ _________________________________ _________________________________
PARENT’S SIGNATURE: PARENT’S SIGNATURE: PARENT’S SIGNATURE:
TITLE: _______________________________ TITLE :________________________________ TITLE :________________________________
DATE: __________ PAGES READ:______
DATE: __________ PAGES READ:______
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?
38
yo u’re of what e r u t ic me d ia, Take a p n social o it e r a sh os t for read ing, m merB o u S A E D I # rd to and tag a g ift ca in w to e c the chan Mall! La Plaza
maTH FUN PAGES
39
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 รท 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 รท 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 รท .35 =
13.86 รท 3.3 = A. 42.0
A. 1,225
B. .42
B. .1225
C. 4.2
C. 1.225
D. 40.2
D. 12.25
42
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 รท 3/16 How many sets of
3/16 are there in 9/16?
Divide 6 รท 2/3 Step 1: Write the whole number as a fraction.
6 รท 2/3 =
dividend
9/16
=
รท
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 รท 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
44
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
to an equivalent fraction with a Change 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.
46
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 รท 3 = 29/4 รท 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 รท 2 1/10 = 31/5 รท 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
48
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
50
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
B
D. 3 out of 8
B. 14 out of 14 C. 14 out of 10
G
D. 4 out of 10
F
L
A. 8 out of 11 C. 3 out of 11
A. 14 out of 51
E
D
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?
C
A
A. 7 out of 1
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
52
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 0Ëš 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 radius is one-half the diameter. True or false?
A. True
diameter
The measure of the following angle is less than 90 degrees. 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˚
54
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
56
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
58
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%
60
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:_____________________
What is the fraction 2/3 as a percent?
DATE :______________
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 90Ëš about 26% of the time. How many days was the temperature above 90Ëš?
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
62
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 cm3
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 in
3
B. 1,236.4 in3
10 in
D. 2,880 in
3
h = 21 in
C. 1,854.6 in3
C. 1,440 in3 12 in
D. 3,461.9 in3
24 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 cm3
A. 13 cm B. 15 cm C. 26 cm
V = 38,772.72 cm3
A. 21 cm 11 cm
B. 33 cm C. 42 cm
D. 169 cm
D. 66 cm
64
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
12 m = 4 5 • = • =
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
66
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. 2 x 3 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. 25 x 23
B. 1
C. 24 x 21
C. 100
D. 24 x 23
D. 8
68
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?
A. X ≤ -7
B. X ≤ -3
B. X < -7
-4
-3 -2 -1
0
1
3
4
5
6
7
8
9
A number, x, is less than 7. Which inequality represents this?
A. X < -3 C. X > -3
CLASS:______________
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
70
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