summer learning reading and math challenge · the story. picture/comic book – create a picture...

Summer Learning

Reading and Math Challenge (Incoming Grade 8)

Aprendizaje de Verano

Reto de Lectura y Matemáticas (Para los estudiantes que entraran al 8vo grado)

Patricia Garcia, Ph.D. Superintendent of Schools

355 High Street, Unit B

Willimantic, CT 06226

(860) 465-2310 Fax (860) 465-2311 [email protected]

Every student, every day, in every classroom!

Ms. Lynne Ide Chair of the Board of Education

Dr. Murphy Sewall Vice-chair of the Board of Education

Dr. Jaime Gomez Secretary of the Board of Education

June, 2019

Dear Parents and Guardians,

The Windham Public Schools recognizes a significant body of academic research that suggests

academic skills are lost during summer vacation. The brain, like any other muscle in our bodies,

becomes weaker without the daily practice it receives during the school year. The term often used to

describe this phenomenon is the “summer slide”. Since our district strives to ensure our vision of

“Every student, every day, in every classroom will be deeply engaged in their own learning, challenged

by high expectations, supported by staff, family, and community, and will graduate with the competence

and confidence needed for success”, it is necessary for our students to continue practicing academic

skills during the summer. In addition to the academic benefits gained by summer practice, students Pre

K-12th grade who complete both their reading and math practice assignments and hand them in during

the first week of school will be invited to attend a Summer Learning Celebration in the fall.

Parents and guardians, we thank you in advance for your help ensuring your children continue to learn

and grow throughout the summer vacation. If you have any questions related to Summer Learning,

please do not hesitate to contact Dr. Tracy A. Youngberg at (860) 465-2535 or

[email protected]. Additional information can also be found on our district website

www.windhamps.org.

Sincerely,

Dr. Patricia Garcia Superintendent of Schools

mailto:[email protected]

http://www.windhamps.org/

Patricia Garcia, Ph.D. Superintendent of Schools



(860) 465-2310 Fax (860) 465-2311 [email protected]

Every student, every day, in every classroom!

Ms. Lynne Ide Chair of the Board of Education

Dr. Murphy Sewall Vice-chair of the Board of Education

Dr. Jaime Gomez Secretary of the Board of Education

Junio de 2019

Estimados Padres y Encargados:

Las Escuelas Públicas de Windham reconocen una investigación significativa por parte del sistema

educativo académico, la cual sugiere que lo que los estudiantes han aprendido durante el año escolar

pueda que una parte se pierda durante las vacaciones de verano. El cerebro, como cualquier otro

musculo en nuestros cuerpos, se debilita al no tener la práctica diaria que este ha recibido durante el

año escolar. El término que es usado frecuentemente para este fenómeno es el “resbalón de verano”.

Dado que nuestro distrito escolar se esfuerza por asegurar de que nuestra visión “Cada Estudiante,

Cada Día, en Cada Salón de Clase estará profundamente comprometido en su propio aprendizaje,

desafiado por las altas expectativas educacionales, apoyado por el personal docente, la familia y la

comunidad, y logrará graduarse con la capacidad y confianza necesaria para el éxito”, es necesario

que nuestros estudiantes continúen practicando sus habilidades académicas durante el verano.

Además de los beneficios académicos obtenidos durante la práctica de verano, los estudiantes que

comenzarán en los grados Pre K – 12 y que completen ambas tareas/asignaciones de lectura y

matemáticas, y estas sean entregadas durante la primera semana de clases serán invitados a asistir a la

“Celebración de Aprendizaje de Verano” en el otoño.

Deseo agradecer de antemano a los Padres y Encargados por toda la ayuda que les darán a sus niños

para asegurarse que continúen su aprendizaje y sigan creciendo durante este verano. Si tiene alguna

pregunta relacionada con el Aprendizaje de Verano, no dude en comunicarse con Dra. Tracy

Youngberg llamando al (860) 465-2535 o por correo electrónico [email protected].

Además, si desea más información la puede encontrar en nuestra página web www.windhamps.org.

Atentamente,

Patricia Garcia, Ph.D

Superintendente de las Escuelas

mailto:[email protected]

http://www.windhamps.org/

Every Student, Every Day, in Every Classroom 5 | P a g e

Windham Public Schools

Summer Reading 2019

Grades 6-8

Mission Statement

It is the intent of Windham Public Schools summer reading program to challenge students to become

lifelong readers and learners by encouraging them to read during non-instructional time. Through this

reading program, the school promotes intellectual stimulation, social awareness, diversity of viewpoints,

and independent thinking.

Summer Reading Instructions:

This is your first graded assignment due September 6th.

Fiction book- Choose from Summer Reading Committee list or the Nutmeg Book Award list *50

points*

Parents & Students: While we are strongly encouraging students choose books from the suggested

reading lists, we are most interested in students reading from “good fit books” this summer. Please

use your judgement to ensure students are actively reading.

1) Preview your book selection.

2) Choose from the list of books. Make sure you’ve chosen one “just right” for you. “Just right”

means not too easy, not too hard, and interesting.

3) Review the list of ideas for projects and select one that interests you.

Keep in mind you must explain why you chose each image or event to present. Your choices

should reflect the following:

● Plot (What happens in the story?)

● Characters (Who are they? What part do they play?)

● Setting (Where and when does the book take place?)

● Theme (What message is the author trying to convey?)

● Significance (How does this connect to your own life and personal experiences?)

Second book- Nonfiction. *50 points* (Any non-fiction of your choice.)

Create a written Critique. Write a critique of the book. What are some of the positive

characteristics of your book? What could the author have done better? Should other students read this

book? Who would it be perfect for?

*Copies of books will be available for checkout at the Willimantic Public Library*


Summer Reading Project Options

Soundtrack/Playlist- Think about the main character(s) in your book and the situations they have been

through. Or few specific scenes that really stood out to you. What do you think the playlist to

those moments would sound like? Choose five songs and print out the lyrics. In a full paragraph

for EACH song, explain how the song directly relates to the moments you’ve chosen. Make sure

you include why each song may relate to the plot, characters, setting, theme, or significance of

the story.

Picture/Comic Book – Create a picture book or comic book version of the story that keeps the essential

parts of the plot. Illustrations must help tell the story and be relevant parts of the book. The

project must be at least 10 pages/frames with 2-3 sentences minimum per page/frame.

In the News! - Create the front page of a newspaper that tells about events and characters in your book.

The newspaper might include weather reports (that relate to the book), and advertisements from

at least 2 things in the book. (example: a wand advertisement for the book Harry Potter.) The

title of the newspaper should be something appropriate to the book. Include 1 paragraph about

why someone should read this book.

Movie Trailer or Filmed Key Scene- Become the writer and director you’ve always wanted to be!

Turn in a script to accompany your trailer or key scene. You may choose friends to help you, but

all of you are responsible for your own Summer Reading Project. Your movie should follow

your script exactly. Be sure you portray the characters, plot, setting, theme, and significance of

your book. Add a soundtrack if necessary plus credits. Your film must be between three and

seven minutes.

Points:

Fiction Project….…...50 points.

Non-fiction Project.....50 points

Total………………. 100 Points


Extra 25 Points- Attend a Book Talk at the Willimantic Public Library

If you read one of the books we are discussing, please come! Proof must be provided that you

attended the book talk. A sign off from the librarian and notes about the discussion of the book. Please

register with the Willimantic Public Library ahead of time. Your project and non-fiction critique still

need to be completed.

Middle School Summer Reading book talks title and dates

OCDaniel by Wesley King

Wednesday, July 11, 2019 from 6:00 pm - 7:00 pm

Willimantic Public Library, Second Floor

The Hate U Give

Wednesday, August 8th from 6:00 pm – 7:00 pm

Willimantic Public Library, Second Floor

https://en.wikipedia.org/wiki/File:The_Hate_U_Give_(2017_cover).jpg


Summer Reading Committee List

Title Author Genre Age

Level

Grade

Level Lexile

A Dogs Purpose Bruce, Cameron Animals 11-13 6-8 940

A Great and Terrible Beauty Bray, Libba Historical 13+ 8 700

BFG Dahl, Ronald Classic 8-12 6-8 750

Crossover Alexander, Kwame Sports 9-12 6-8 750

Dear Martin Stone, Nic Realistic 14+ 8 HL720

Drama Telgemeier, Raina Graphic 11-13 6-8 GN320

Game Changer Greenwald, Tommy Sports 8-12 6-8 750

Goosebumps: Night of the Living

Dummy Stine, R.L. Horror 9-12 6-8 470

Halo: Battle Born Clark, Cassandra Science 12+ 7-8 HL660

Harry Potter Rowling, J.K. Fantasy 8+ 6-8 880

Hot Hands Lupica, Mike Sports 8-12 6-8 930

Invisible Emmie Libenson, Terri Graphic 8-12 6-8 670

Loki's Wolves Armstrong, Kelly Fantasy 8-10 6-8 680

OCD DANIEL King, Wesley Realistic 8-12 6-8 560

R.I.P Eliza Hart Sheinmen, Alyssa Mystery 12-17 7-8 HL740

Silver Eyes- FNAF Cawthorn,Scott Horror 11+ 6-8 790

The Egypt Game Snyder, Zilpha Keatly Mystery/Classic 8-12 6-8 1010

The Fixer Barnes, Jennifer Lynn Adventure 12-17 7-8 HL620

The Graveyard Book (Novel or

Graphic Novel) Gaiman, Neil Fantasy/Mystery 10+ 6-8 GN550/820

The Hate You Give Thomas, Angie Realistic 14+ 8 HL590

The One and Only Ivan Applegate, Katherine Animals 8-10 6-8 570

The Raft Bodeen, S.A. Adventure 12+ 7-8 HL680

Walking With Miss Millie Bundy, Tamara Historical 10+ 6-8 790

Wonder Palacio, J.R. Realistic 8+ 6-8 790

2020 Nutmeg Book Award

Intermediate 4-6 Nominees

All Rise for the Honorable

Perry T. Cook by Leslie Connor Perry T. Cook is being raised in a minimum

security prison with his mother. When there

is a “changing of the guard,” Perry is forced

to live outside for the first time. Perry soon

discovers that home is where you are loved,

even if it is behind bars..

Ban This Book by Alan Gratz When Amy Anne discovers her favorite book

is missing from her elementary school library

because a parent thought it was inappropriate,

she fights back by starting an illegal locker

library, which turns into a battle over book

banning and censorship in her school.

The Dreadful Tale of Prosper

Redding by Alexandra Bracken From an extraordinary, popular, and powerful

family, Prosper Redding is woefully

ordinary—until he discovers that a demon

coexists inside him and reveals that the

Redding family’s wealth and influence is due

to a contract with this demon.

Estranged

by Ethan M. Aldridge Two babies were switched at birth. Now

Childe and his fae double Edmund live in a

world where they don’t belong. When the fae

underworld is taken over by an evil sorceress,

Childe and Edmund must go on a quest to

restore balance. But in which world will they

end up?

Fuzzy by Tom Angleberger &

Paul Dellinger Understanding middle school is hard for

humans but for the AI Fuzzy, it’s impossible!

Vice Principal Barbara is determined to weed

out all students who don’t measure up and

Fuzzy is her number one target. Can Maxine

help Fuzzy survive VP Barbara when he can

barely navigate the hallways?

Greetings from Witness

Protection! by Jake Burt An expert pickpocket and orphan in foster

care, Nicki Demere is placed with a family

hiding in Witness Protection where she must

learn to fit in as a daughter and sister while

protecting her new family.

The Jumbies by Tracey Baptiste Corrine LaMer is smart, fast, and fearless. It’s

no surprise she entered the nearby forest to

retrieve a cherished item, despite warnings

never to enter. Soon a stranger appears in her

loving and close knit community changing her

life forever.

Save Me a Seat by Sarah W eeks Ravi has only just moved to America from

India. Joe has been here his whole life. Two

outcasts who don’t agree on anything, until

they’re shoved together by the universe (and

their teacher), and continue to… not get along.

Will they ever overcome their differences?

Unbound: A Novel in Verse

by Ann E. Burg Grace is called from the slave cabins to the big

house to work for the Master. Grace’s Mama

warned her to keep her questions to herself.

When Grace is unable to take the injustice, she

is forced to run away to the safety of the Great

Dismal Swamp.

The Van Gogh Deception

by Deron R. Hicks A boy named “Art” is found with amnesia in

the National Gallery in Washington D.C. With

help from his friend Camille, Art seeks to solve

two mysteries at the same time -- who he is

and why somebody doesn’t want him to

remember.

Copyright 2019-2020 Nutmeg Book Award Materials may not be altered without written permission.

2020 Nutmeg Book Award Middle School 7-8 Nominees

City of Saints & Thieves

by Natalie C. Anderson Going from a maid’s daughter to a highly

trained thief, Tina’s life has been far from easy.

With her mother dead, she is determined to

destroy the man who killed her. But as she gets

closer, will the truth come out the way she had

hoped? Set in the streets of Sangui City, Kenya

and the remote Congo, this adventure is a

nonstop ride.

Click’d

by Tamara Ireland Stone

CLICK'D is a empowering novel about

friendship, dreams, and following your heart.

Allie’s new app CLICK'D turns out to be a

huge hit and watching her app go viral is

amazing! But when she discovers a glitch that

threatens to expose everyone's secrets, she has

to figure out how to make things right. Can

Allie fix her app and win back her friends

before she presents CLICK'D to the judges?

Defy the Stars by Claudia Gray Noemi, a human girl, and Abel, a mechanized

warrior, are enemies, forced to try to survive

aboard a long abandoned ship. These enemies

become unlikely allies who must work together

to help the galaxy find peace. And along the

way, they just may find out what it truly means

to be human.

Frostblood by Elly Blake Ruby has been hiding her illegal power to

manipulate fire her whole life, but after being

captured and imprisoned by the Frostblood

King, she knows she must fight. When a rebel

group releases her, she vows to learn to use her

powers, and destroy the king.

Girls Made of Snow and Glass

by Melissa Bashardoust Can you escape your true nature? Lynet and her

stepmother, Mina, have always gotten along,

but when secrets from the past are revealed,

they find their relationship

changing. A dark and compelling

retelling of Snow White.

Copyright 2019-2020 Nutmeg Book Award Materials may not be altered without written permission.

Illegal by Eoin Colfer &

Andrew Donkin A solid graphic novel that highlights the plight

of an undocumented immigrant. Ebo sets out

from Ghana for Europe in search of his brother

Kwame and sister Sisi. Facing challenging

landscapes and circumstances, his only hope to

is be reunited with his family.

Midnight Without a Moon

by Linda Williams Jackson Rose Lee Carter can’t wait to move north, far

from the harsh climate of 1950s Mississippi.

However, before she can leave, Emmett Till is

murdered and Rose must make a decision—

leave the tumultuous south behind or stay to

fight for justice?

Piecing Me Together

by Renee Watson Jade is supposed to be fighting for a way out of

a poor neighborhood to save her future. She

attends a mostly white private school, takes

SAT prep classes, and has just joined Women

to Women, a program for “at risk” youth. But

Jade isn’t in a rush to leave her neighborhood.

She doesn’t want to be saved, she doesn’t need

to be saved, and it’s time she explains that to

the “helpful” adults in her life.

Posted by John David Anderson When cell phones are banned at Branton

Middle School, Frost and his D & D-playing

friends don’t care. Frost doesn’t even own a

cell. Frost and his friends start posting sticky

notes and it catches on. Soon everyone is

posting, but for every positive note, there is a

negative one. Words have power and school

will never be the same.

Saints and Misfits by S. K. Ali Janna, a Muslim teen, is struggling with her

identity while realizing that her extended family

contains saints, misfits, and monsters.

A powerful coming-of-age story.

Math 8

Summer Student

Enrichment Packet

WINDHAM PUBLIC SCHOOLS

Summer 2019

5

Note to the Student

You learned so much in Grade 7! It is important that you keep practicing

your mathematical knowledge over the summer to be ready for Math 8.

In this packet, you will find weekly activities for the summer break.

MATH 8


Directions:

➢ For each week you should:

❖ Show all of your work.

❖ Have a clear and complete answer that explains your thinking.

❖ Be neat and organized.

➢ Pay attention to the gray boxes that you see at the beginning of each week’s activities.

Those boxes indicate the Common Core domain and standard that the subsequent

activities address. If you see a NON-CALCULATOR SYMBOL next to a gray box,

then do not use a calculator for the activities in that section!

Playing board and card games are a good way to reinforce basic computation skills and

mathematical reasoning. Try to play board and card games at least once a week. Some

suggested games to play are: Monopoly, Chess, War, Battleship, Mancala, Dominoes, Phase

10, Yahtzee, 24 Challenge, Sudoku, KenKen, Connect Four, and Risk.

Where to Go to Get Help … or Practice!

During the course of your math work this summer, you may need some assistance with

deepening your understanding the skills and concepts. You also might want to get some

more practice. Here are some sites you can visit online:

To get the exact definition of each standard, go to

www.corestandards.org and search for the content

standard (for example, 7.NS.1a).

LearnZillion has video lessons on every

Math standard. Go to

www.LearnZillion.com and search for any

math topic or standard.

Khan Academy has helpful videos and self-guided practice problems for every grade level. Go to www.khanacademy.org to get started.

http://www.corestandards.org/

http://www.learnzillion.com/

http://www.khanacademy.org/

http://www.LearnZillion.com

http://www.khanacademy.org

http://www.corestandards.org

MATH 8


Directions: Read the problem below, then answer the questions.

The Dysons love to give parties. Last Friday, they gave a party

and the doorbell rang 15 times. At the first ring, one guest

arrived. Each time the doorbell rang after that, two more guests

arrived than the time before.

On Saturday, they had another party. At the first ring of the

doorbell a single guest arrived, at the second ring two guests

appeared, at the third ring three guests and so on. If the doorbell

rang 20 times Saturday night, how many guests attended? Was

this party bigger than Friday's party? How do you know?

2. Draw a picture to show one way to solve this problem.

3. Create a table to show a second way to solve the problem.

4. Write your answer below and explain how you arrived at your solution.

WEEK 1 || Equations & Expressions Standards 7.EE.3-7.EE.4: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

MATH 8


Directions: Complete the following three problems to apply your understanding of percentages

and ratios.

Problem #1:

Jesse’s Awesome Autos advertised a special sale on cars – Dealer

cost plus 5%! Quinten and Shapera bought a luxury sedan for

$23,727.90. What was the dealer’s cost?

Problem #2:

You and some friends went out to T.G.I. Fridays for dinner. You ordered a root beer, sweet

potato fries, and cheese quesadillas. The total bill came to $21.86. Your dad has told you many

times that it’s important to leave a good tip; about 20%. You have $26.00 in your wallet. How

much would the total be if you left a 20% tip? Can you cover the cost?

Problem #3:

Builders have observed that windows in a home are most attractive if they have the width to

length ratio 3:5. If a window is to be 48 inches wide, what should its length be for the most

attractive appearance?

2. Create your own problems.

• Create one original problem involving a percentage (discount or tax).

• Create one original problem involving a ratio or part/whole relationship.

• Solve both and keep the answer key.

• Challenge a friend or family member to solve your problems.

WEEK 2 || Ratios & Proportions Standards 7.RP.1-7.RP.3: Analyze proportional

relationships and use them to solve real-world and mathematical problems.

MATH 8


WEEK 3 || Statistics & Probability Standards 7.SP.1- 7.SP.2: Use random sampling to

draw inferences about a population.

Directions: Look at the following data set. It shows the heights, in centimeters, of a group of

students:

Student Height in cm

Tamu 145

Lisa 136

Michelle 154

Garnetta 178

Julius 164

Valerie 144

Zeke 170

Kolby 183

Beyunka 144

1. Answer the following questions based on the data set above.

What is the mode of the set? ________

What is the range of the set? ________

Whose height is closest to the median height for the set? ________

Whose height is closest to the mean height for the set? ________

Create a box plot using all of the above data. Give the five-number summary the data displayed

in the box plot.

MATH 8


WEEK 4 || Ratios & Proportional Reasoning Standards 7.RP.1-7.RP.3: Analyze proportional relationships and use them to solve real-world and mathematical problems.

Directions: Solve the following problems.

The students in Ms. Brown’s art class were mixing yellow and blue

paint. She told them that two mixtures will be the same shade of green if

the blue and yellow paint are in the same ratio.

The table below shows the different mixtures of paint that the students

made.

A B C D E

Yellow 1 part 2 parts 3 parts 4 parts 6 parts

Blue 2 parts 3 parts 6 parts 6 parts 9 parts

a. How many different shades of paint did the students make?

b. Some of the shades of paint were bluer than others. Which mixture(s) were the bluest? Show

work or explain how you know.

c. Carefully plot a point for each mixture on a coordinate

plane like the one that is shown in the figure. (Graph

paper might help.)

d. Draw a line connecting each point to (0,0). What do the

mixtures that are the same shade of green have in

common?

MATH 8


WEEK 5 || Geometry Standards 7.G.4-7.G.6: Solve real-life and mathematical problems

involving angle measure, area, surface area, and volume.

Directions:

1. Study the diagram and information below.

Angle 1 is vertical with ∠𝐹𝑃𝐸. Angle 2 is vertical with ∠𝐴𝑃𝐹.

In each case these pairs of angles form an X.

∠𝐴𝑃𝐹 and ∠𝐴𝑃𝐶 are supplementary because they form the straight line FC.

∠𝐴𝑃𝐶 and ∠𝐶𝑃𝐷 are supplementary because they form the straight line AD.

∠𝐴𝑃𝐵 and ∠𝐸𝑃𝐷 are vertical.

∠𝐸𝑃𝐹 and ∠𝐸𝑃𝐶 are supplementary because they form the straight line FC.

2. Find 2-3 real objects in your home or neighborhood that

demonstrates one or more of the same relationships expressed

in the diagram above. Take pictures of each of the objects you

found and either download the pictures and paste them into an

electronic document(s) or create a poster and paste your pictures on the poster. If you do not

have access to a digital camera and source for printing pictures, you may draw a picture of

your objects instead.

3. Finally, label each line, each angle, and each corresponding relationship. Use words to

describe the angles and relationships formed by the intersecting lines on your document or

poster (as done in the example above).

A

2

1

C

P

B

F D

E

MATH 8


Directions: Complete the two problems below. Problem 1: Using exactly four 4's and any operations or symbols [+, –, x, ÷, ( ), xe]

write an expression to equal each of the following:

*Example: 16 = (4 x 4 x 4) ÷ 4

1 = _______________ 4 = ______________ 7 = ______________

2 = _______________ 5 = ______________ 8 = ______________

3 = ______________ 6 = _____________ 9 = ______________

Problem 2: Find three different ways to fill in operations in the boxes below to make the equations

true.

*Hint: Operations include: +, –, x, ÷, ( )

WEEK 6 || Number System Standards 7.NS.1-7.NS.3: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

MATH 8


WEEK 7 || Expressions & Equations Standards 7.EE.3 -7.EE.4: Solve real-

life and mathematical problems using numerical and algebraic expressions and

equations.

You have tried many ways to solve problems throughout this Math Summer

Packet. Already you know that when one strategy does not lead you to a

solution, you back up and try something else. Sometimes you can find a

smaller problem inside the larger one that must be solved first. Sometimes you

need to think about the information that is missing rather than what is there.

Sometimes you need to read the problem again and look for a different point of

view. Sometimes you need to tell your brain to try to think about the problem

in an entirely different way – perhaps a way you have never used before.

Looking for different ways to solve problems is like brainstorming. Try to

solve this problem. You may need to change your point of view.

Directions:

Fishing Adventures rents small fishing boats to tourists for day-long fishing trips. Each boat

can only carry 1,200 pounds of people and gear for safety reasons. Assume the average

weight of a person is 150 pounds. Each group will require 200 lbs. of gear for the boat plus

10 lbs. of gear for each person.

1. Create an inequality describing the restrictions on the number of people possible in a

rented boat. Graph the solution set.

2. Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5 people.

Group 3 has 8 people. Which of the groups, if any, can safely rent a boat? What is the

maximum number of people that may rent a boat?

MATH 8


WEEK 8, 9, 10 || MATH 8 UNIT 1 PREVIEW – Geometry Standards: 8.G.1- 8.G.5:

Understand congruence and similarity using physical models, transparencies, or geometry

software.

Directions: Study the graphic below. Use it to complete the following tasks.

Transformations A change in size, shape, orientation, or position of an object is called transformation.

Congruence Transformations

The object and image is always congruent. Side lengths and angle measures remain unchanged (equal).

Similarity Transformations: Dilations

The object and image is always similar. Side lengths are proportional and angle measures are unchanged (equal).

The “k” is the scale factor. For an enlargement k > 1.

The “k” is the scale factor. For a reduction k < 1.

Non-examples of Congruence or Similarity Transformations

Stretching: Increasing or decreasing an object in one deminsion/direction only.

Stretches are define by a stretch factor and an invariant line. The image is neither congruent or similar to its object.

Center

Prime Notation: Read

“Q prime”

MATH 8


MATH 8


Possible Answers:

Rotation 45○ clockwise

No change

Reflection

Horizontal stretch

Vertical stretch


Rotation ≈ 45○ counterclockwise


Enlargement and horizontal stretch

No change

Enlargement

Rotation 90○ clockwise and reduction

MATH 8


MATH 8


Translations in the Coordinate Plane

Description: 7 units to the left and 3 units down.

Mapping Rule: (𝒙, 𝒚) → (𝒙 − 𝟕, 𝒚 − 𝟑) (This is read: "the x and y coordinates will be translated into x-7 and

y-3..

Notice that adding a negative value (subtraction), moves the image

left and/or down, while adding a positive value moves the image right

and/or up.)

Notation:

T(-7,-3) (The -7 tells you to subtract 7 from all of your x-coordinates, while

the -3 tells you to subtract 3 from all of your y-coordinates.)

Describe the translation that will move triangle

ABC onto triangle A'B'C'. Name the

corresponding parts.

Give the mapping rule for the translation that will

move triangle ABC onto triangle A'B'C'.

Graph the image of the figure using the given

translation. Provide the notation of the translation.

Graph the image of the figure using the given

translation. Provide the notation and mapping rule of

the translation.

MATH 8


Triangle Reflections Task Sheet

Perform each reflection and name the location of each point for the image.

1. Reflect figure ABC over the x axis 2. Reflect figure DEF over the y axis

A (–10, –9) → A’(___,___) D (–5, –3) → D’(___,___)

B (–6, –8) → B’(___,___) E (–1, –1) → E’(___,___)

C (–4, –10) → C’(___,___) F (–2, –6) → F’(___,___)

What are the shortcuts that can be applied to each coordinate?

When reflecting a figure over the x-axis …

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When reflecting a figure over the y-axis …

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MATH 8


Work sheet (add more pages as needed)

Every Student, Every Day, in Every Classroom

Windham Public Schools

Central Office



summer learning reading and math challenge · the story. picture/comic book – create a picture...

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