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Simone Biles This Gymnast Lets Her Power and Personality Shine

Simone Biles This Gymnast Lets Her Power and Personality Shine

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Simone Biles This gymnast lets her power and personality shine. By Marty Kaminsky 2016

Simone Biles is an American gymnast who competed in the 2016 Summer Olympics. In this informational text, Marty Kaminsky discusses Biles’ life and success in . As you read, take notes on how Biles became an Olympic gymnast.

[1] The crowd stirs as 16-year-old gymnast Simone Biles mounts the at the 2013 World Championships in Belgium.

The beam is 4 feet high, 16 feet 5 inches long, and only 4 inches wide. Walking across its surface would be a challenge for most people, but Simone must do far more than that to earn a gold medal. During her 90-second performance, Simone must leap high in the air, spin completely around on one foot, and execute handsprings1 and flips without falling off the beam or landing awkwardly. "Simone Biles" by Courtesy of iStock/mustafahacalaki and iStock/ KrizzDaPaul is used with permission.

To start her routine, the 4-foot-8-inch athlete pirouettes2 on one foot two and a half times, then pulls off a flawless split leap. The audience gasps with each move, but Simone is calm as she dances on the beam. She completes her routine with a full twisting double back.3 After flying high through the air, Simone lands on her feet, and the crowd roars.

The judges are impressed, too, rewarding Simone with her first All-Around4 title.

Making Her Mark

[5] Since then, Simone has taken the gymnastics world by storm. She is the first female to win three straight All-Around World Championships, earning a total of 14 medals, 10 of them gold.

At the 2016 Olympics in , Brazil, Simone added five medals to her total: golds in team, individual all-around, , and exercise, and bronze on beam.

1. a jump through the air onto one’s hands, followed by springing over onto one’s feet 2. a spin 3. a jump from a backwards position into a back flip in a stretched out position with a full 360 degree rotation that occurs during the flip, followed by a second back flip 4. “all-around” refers to a gymnast who competes in every gymnast event 1 Talent at a Young Age

Life was not always easy for Simone. Her birth mother was unable to care for her children. Simone’s grandparents, Ron and Nellie Biles, adopted Simone and her younger sister, Adria. Their new dad and mom moved the girls from Ohio to their home in Texas.

Simone loved to climb their five-foot-high mailbox and somersault to the ground. On a field trip with her daycare class, six-year-old Simone was introduced to her sport at Bannon’s Gymnastix. In no time flat,5 she started copying the gymnasts, drawing the attention of the instructors.

“I loved the idea of flipping around, and the center saw something in me, so they sent home a letter to my parents encouraging me to join,” Simone explains. “Right from the start, I was fearless and willing to try anything and everything.”

[10] Simone advanced quickly. At age seven, she began performing competitively. In 2011, she placed first on vault and balance beam at the American Classic. Her debut6 as an international gymnast was in March 2013 at a World Cup event.

Bubbly and Genuine

Simone is known for her power and upbeat personality. She often plays to the crowd, flashing a big smile as she performs in the floor exercise.

In order to master the variety of skills needed to excel7 at the four events in her sport, Simone trains five to six hours a day, year-round.

Simone’s coach, Aimee Boorman, appreciates her hard work and personality. “Simone is bubbly. She loves to laugh, is genuine and real. When she wins and is given flowers on the medal podium, she searches out the shyest child in the crowd and gives her the flowers.”

How does Simone handle the pressures of life as an athlete? “It is important to embrace the moment,” she says. “Remember to have as much fun as you can, but keep in mind, win or lose, you still have your whole life ahead. You can achieve anything that you put your mind to.”

Copyright © Highlights for Children, Inc., Columbus, Ohio. All rights reserved.

5. a phrase meaning “very quickly” 6. a person’s first appearance or performance in a role 7. Excel (verb): to pass others in skill 2 Text-Dependent Questions

Directions: For the following questions, choose the best answer or respond in complete sentences.

1. PART A: Which statement best expresses the central idea of the text? A. Simone Biles’ positive attitude has come from her success in gymnastics and relatively easygoing life. B. From a young age, Simone Biles was a natural gymnast and often didn’t have to train for competitions. C. Simone Biles’ great attitude and commitment to the sport has helped her succeed in gymnastics. D. Competitors are often frightened of Simone Biles because of her skills and serious attitude.

2. PART B: Which TWO details from the text best support the answer to Part A? A. “She completes her routine with a full twisting double back. After flying high through the air, Simone lands on her feet, and the crowd roars.” (Paragraph 3) B. “Life was not always easy for Simone. Her birth mother was unable to care for her children.” (Paragraph 7) C. “On a field trip with her daycare class, six-year-old Simone was introduced to her sport at Bannon’s Gymnastix.” (Paragraph 8) D. “‘I loved the idea of flipping around, and the center saw something in me, so they sent home a letter to my parents encouraging me to join’” (Paragraph 9) E. “In order to master the variety of skills needed to excel at the four events in her sport, Simone trains five to six hours a day, year-round.” (Paragraph 12) F. “‘Remember to have as much fun as you can, but keep in mind, win or lose, you still have your whole life ahead. You can achieve anything that you put your mind to.’” (Paragraph 14)

3. Which of the following describes how the author introduces Simone Biles? A. as a talented gymnast who impresses the crowd and judges B. as a committed athlete who works nonstop for what she has C. as a talented gymnast who isn’t treated fairly by the judges D. as a serious athlete who values winning over all else

4. How do paragraphs 5-6 contribute to the development of ideas in the text? A. They show how long Simone Biles has been competing in gymnastics. B. They help readers understand how hard Simone Biles has worked. C. They stress that sometimes even Simone Biles doesn’t win gold. D. They emphasize Simone Biles’ widespread success in gymnastics.

3 5. Which of the following describes the connection between Biles’ training and her success?

4 Discussion Questions

Directions: Brainstorm your answers to the following questions in the space provided. Be prepared to share your original ideas in a class discussion.

1. In the text, the author describes Simone Biles as committed to gymnastics. What is something that you’re committed to? How did you discover your love for this activity? What do you do to improve at it?

2. Simone Biles has won various gold medals at the All-Around World Championships and the 2016 Summer Olympics. What do you think contributed to her success? What traits do you think are the most important to success?

3. Simone Biles loves gymnastics but tries to live in the moment, win or lose. Do you think this is why Biles portrays happiness and seems upbeat to her audience? How can you incorporate this mindset into something you love so that it shows?

5 Name: Class:

Most Valuable Player By Sarah Van Arsdale 1988

Sarah Van Arsdale is an author, poet, and professor. In this poem, a speaker describes her goals. As you read, make note of the speaker’s goals and aspirations.

[1] If I had a trophy I’d put it on the middle shelf of my bookcase. I’d dust it every day [5] and polish it once a week.

It would have a statue of a woman holding a bat, her golden arm cocked up1 a little waiting for the pitch. [10] When my friends came over I’d stand next to the bookcase casual-like till they said, “Is that a trophy?” "College Softball" by David Moore is licensed under CC BY-NC-ND I’d read the inscription2 every morning. 2.0. I’d ask someone to take my picture [15] with my trophy.

My trophy would say “Softball Player” on the bottom, and everyone would know that in summer I tie on my cleats [20] run onto the field, slapping high fives. They’d know I take third base, put my glove to the dry dirt, scatter dust in the air. [25] They’d hear the fans shout,

1. tilted up 2. Inscription (noun): written or carved words on an object 1 “Hey, some catch!” when the white ball comes slamming into my glove, and, “Watch out, she’ll steal home,” [30] as my cleats dig and dig. They’d feel the weight of the little statue And think, “I bet she’s going out With her team tonight,” “I bet she could teach me how to throw,” [35] “I bet she plays softball,” and I do,

I do.

“Most Valuable Player” by Sarah Van Arsdale. First published in Korone, vol. V, 1988. Copyright © 1988 by Sarah Van Arsdale. Used by permission of the author. All rights reserved.

2 Text-Dependent Questions

Directions: For the following questions, choose the best answer or respond in complete sentences.

1. PART A: Which of the following identifies the theme of the poem? A. People want to be recognized. B. Sometimes people don't mind when their skills go unrewarded. C. The support of friends and family is important to succeed. D. Rewards and trophies do not determine an individual’s skill or success.

2. PART B: Which detail from the poem best supports the answer to Part A? A. “I’d dust / it every day / and polish it once a week.” (Lines 3-5) B. “It would have a statue of a woman/ holding a bat’” (Lines 6-7) C. “I’d read the inscription every morning.” (Line 13) D. “They’d hear the fans shout / ‘Hey, some catch!’” (Lines 25-26)

3. What does having a trophy mean to the speaker? A. It’s proof that she is the best softball player. B. It shows that she’s just as athletic as the boys. C. It’s an item to show off to her friends. D. It represents being great at softball.

4. How does the ‘If,...I would…’ structure in the poem develop the speaker’s perspective towards her goals?

3 Discussion Questions

Directions: Brainstorm your answers to the following questions in the space provided. Be prepared to share your original ideas in a class discussion.

1. What kinds of rewards have you hoped to earn? How have you imagined your hard work leading up to the moment you win an award, like the speaker of the poem?

2. How would the speaker of the poem answer the question ‘Where does happiness come from?’ What is your response to the same question?

3. Do you think the speaker of the poem really deserves a trophy? Why or why not?

4 Name: Class:

The Donkey, the Fox, and the Lion By Aesop 620-560 B.C.

Aesop was a storyteller who lived in ancient Greece between 620 and 560 BCE. This story is part of his collection of tales known as Aesop’s Fables, which did not survive in writing but were passed down by people retelling them. They have deeply influenced children's literature and modern storytelling culture. As you read, identify the different promises made in this fable.

[1] The Donkey and the Fox, having entered into partnership together for their mutual protection, went out into the forest to hunt.

They had not proceeded far when they met a Lion.

The Fox, seeing imminent1 danger, approached the Lion and promised to contrive2 for him the capture of the Donkey if the Lion would pledge his word not to harm the Fox.

Then, upon assuring the Donkey that he would not be injured, the Fox led him to a deep pit and arranged that he should fall into it.

[5] The Lion, seeing that the Donkey was secured, "A Keuleman's Common Fox" by St. George Jackson is in the public immediately clutched the Fox, and attacked the domain. Donkey at his leisure.3

“The Donkey, the Fox, and the Lion” by Aesop is in the public domain.

1. Imminent (adjective): about to happen 2. Contrive (verb): to bring about or create; to plan 3. Leisure (noun): use of free time for enjoyment 1 Text-Dependent Questions

Directions: For the following questions, choose the best answer or respond in complete sentences.

1. PART A: Which of the following best describes a major theme of the text? A. Betraying a friend can have terrible consequences. B. The desire to survive is strong, but it is not as strong as friendship. C. Being clever can be more useful than being strong. D. Friendships made between cowards never last.

2. PART B: Which quote from the text best supports the answer to Part A? A. “The Donkey and the Fox, having entered into partnership together for their mutual protection, went out into the forest to hunt.” (Paragraph 1) B. “The Fox, seeing imminent danger, approached the Lion and promised to contrive for him the capture of the Donkey” (Paragraph 3) C. “Then, upon assuring the Donkey that he would not be injured, the Fox led him to a deep pit” (Paragraph 4) D. “The Lion, seeing that the Donkey was secured, immediately clutched the Fox, and attacked the Donkey at his leisure.” (Paragraph 5)

3. How does the fox react to the arrival of the lion? A. The fox becomes frightened, and he tries to save them both from the lion. B. The fox tries to make friends with the lion in spite of the donkey’s warning about the lion. C. The fox tries to trick the lion into falling into a pit so that he and the donkey can escape. D. The fox is quick to betray the donkey by offering to trick him for the lion.

4. How does the ending of the story contribute to its overall meaning? A. The fox’s betrayal at the end of the story contributes to the idea that people cannot stop themselves from being what they are, like the cowardly fox. B. The fox’s betrayal at the end of the story contributes to the moral: do not trust other people to help you and instead help yourself, as the donkey should have done. C. The deaths of the fox and the donkey contribute to the moral of the story: it is better to be united against an enemy rather than divided by our differences. D. The lion’s betrayal of the fox contributes to the idea that betraying a friend can have terrible consequences, just as the fox’s betrayal led to his own death.

2 Discussion Questions

Directions: Brainstorm your answers to the following questions in the space provided. Be prepared to share your original ideas in a class discussion.

1. Do you think the fox was smart to try to save himself? Why or why not? What else could the fox have done to save the donkey and himself from the lion?

2. In the context of this tale, what drives someone to betray? Use evidence from this text, your own experience, and other art, literature, or history in your answer.

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Remember: A conjunction connects two thoughts, phrases or sentences. Underline the conjuctions in the following sentences.

Susan and Maggie went to the fair. The dinner tasted good, but wasn’t very hot. Monica was late to school because she got lost. The dog whines and yelps because he is afraid of the cats. We will go to the beach but not to the mountains. Do you like oranges or apples?

Write a conjunction in the blank to complete the sentence.

On our trip we went to Paris ______London. July is a good time to go swimming ______it is hot. You have a choice of blue ______yellow. The teacher gave James a good grade ______he worked hard on the report.

The underlined conjunctions in the following sentences are scrambled. Change the conjunctions to make the sentence correct.

Lindsey walks because jogs to stay in shape. Friday is a fun day or Saturday is even better. The woman laughed and the monkey did funny tricks. Does Rebecca but Shannon have the best grades?

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Name: ______Contractions Worksheet 5

Directions: Find the two words in each sentence that can make a contraction and underline them. Then, write the contraction on the line.

1. If we know this, we will make some money for sure! ______we’ll______

2. Rocky has not given up the fight yet. ______

3. They are going to help us get through this. ______

4. He does not seem to understand simple instructions. ______

5. She will go to the dance with you. ______

6. I will not give up my dreams for this. ______

7. The pirate will not learn to swim. ______

8. It would not be that hard for him. ______

9. Who are these people and what do they want? ______

10. I could not stop if I tried. ______

11. How is that project coming along? ______

12. If it were not for his behavior, the class would be eating lunch now. ______

13. Ask as many questions as you want; it is your business. ______

14. If I were you, I would try a little harder. ______

15. I have given up on waiting for her. ______

16. I hate cupcakes: they will be the death of me. ______

17. Please do not throw things in class. ______

18. I have not even started doing make-up work. ______

19. This will be tough if you were not listening. ______

20. Let us work really hard on this unit since it’s so important. ______

21. He has not even started his homework! ______Name: ______Homophones Worksheet 3 Scuba Kids!

Part One: Choose the correct word.

1. Since the weather / whether was clear, my cousin and I went to the ocean. 2. We decided to board / bored a ship that was headed to deep waters. 3. We brought all our diving gear onto the boat and set sail / sale for adventure. 4. The captain steered us into a large waive / wave and I almost fell off the boat. 5. We crossed the straight / strait off the port and headed for the open sea. 6. The old wooden peer / pier from which we departed faded into a speck on the horizon. 7. Our Captain used to be a colonel / kernel in the navy. 8. He was discharged for hornswoggling, so now he is no longer a naval / navel man. 9. My cousin still said, "Aye aye / Eye eye / I I , Captain!" every time the man spoke to us. 10. After the anchor was throne / thrown into the water, my cousin and I put on our diving gear. 11. We both said, "Serf's / Surf's up!" at the same time and jumped into the ocean. 12. Our gear became a lot lighter and easier to bare / bear once we got in the water. 13. The waters were peaceful and we began our descent / dissent to the seafloor. 14. As we passed / past a coral reef, we saw a tiger shark. 15. My first thought was that we should flea / flee but there was no going back. 16. Our air hoses would get tangled in the reef, so we had to keep moving foreword / forward. 17. The tiger shark swam by us and we were happy to have missed / mist him. 18. "Wow, I hope we don't run into a wail / wale / whale next," said my cousin. 19. Of course the next thing we saw was the tail / tale of a very large creature. 20. My cousin and I both guessed / guest at what it was, but we had no idea. 21. When we got closer, we saw that it was a manta raise / rays / ray's / raze tail. 22. The manta swam threw / through the coral reef when we got closer. 23. Then my cousin tried to warn / worn me that we needed to get back to the surface. 24. "We're going to run out of air / err / heir ," he said. 25. "I'll never run out of errors," I said jokingly, "so I hope you know which / witch way to go."

Part Two: Write two sentences for each of the word pairs. Correctly use each word in a sentence.

A. you're / your B. brake / break C. allowed / aloud Name: ______Idioms

Directions: Read each idiom and determine the meaning.

Idiom: A common expression understood figuratively, as the literal definition makes no sense.

1. When the politician was caught stealing from the taxpayers, everyone thought he would receive a severe punishment, but all he got was a slap on the wrist.

What is the meaning of this idiom? ______

______

2. We thought that our neighbor’s, the Jones family, were rich beyond our wildest dreams, but it turns out that we’re all in the same boat.

What is the meaning of this idiom? ______

______

3. If Kim thinks that I’m going to let her copy my math homework, she’s barking up the wrong tree.

What is the meaning of this idiom? ______

______

4. The Vikings thought that they would easily beat the other team, but when it was tied with a minute left in the fourth quarter, they knew that this game was really coming down to the wire.

What is the meaning of this idiom? ______

______

5. I thought Janet would be a good worker, but it turns out that she can’t cut the mustard.

What is the meaning of this idiom? ______

______

6. Tom wanted to get down to brass tacks, but the lawyer kept chatting about the weather.

What is the meaning of this idiom? ______

______

7. The lawyer knew that beating around the bush would get Tom all worked up.

What is the meaning of this idiom? ______

______8. After playing for three straight quarters, the quarterback was running out of steam.

What is the meaning of this idiom? ______

______

9. Don’t get so worked up, buddy. She’s only pulling your leg.

What is the meaning of this idiom? ______

______

10. Jane decided that she would go out on a limb and ask Byron to the Spring Fling dance.

What is the meaning of this idiom? ______

______

11. Jimbo was too tired to finish the assignment, so he decided to hit the hay.

What is the meaning of this idiom? ______

______

12. Alan was excited when he found out that he would have his own front row parking spot at the university, but that was just the icing on the cake.

What is the meaning of this idiom? ______

______

13. Ever since Amy’s uncle bought the farm, she’s been faced with the difficult decision of dividing the inheritance amongst the family.

What is the meaning of this idiom? ______

______

14. Working at the Burger King was at first overwhelming to Kyle, but now he knows the ropes.

What is the meaning of this idiom? ______

______

15. Julie thought her mom would let her go to the party, but no dice.

What is the meaning of this idiom? ______

______Remember to work at your own pace; but be sure to complete weekly work every week so you won’t get behind!!!

Lesson 7 Name Divide Fractions by a Whole Number Essential Question How do you divide a fraction by a whole number?

_2 Four friends share of a quart of ice cream equally. 3  t 8IBU PQFSBUJPOXJMMZPVVTFUPTPMWF What fraction of a quart of ice cream does each UIFQSPCMFN friend get?

_2 Divide. 3 4 4 STEP 1 STEP 2 STEP 3

-FUUIFSFDUBOHMF %JWJEFUIFSFDUBOHMF 5IFSFDUBOHMFJTOPXEJWJEFEJOUP_FRVBMQBSUT SFQSFTFOURVBSUPG JOUPGPVSUITCZESBXJOH _ &BDIQBSUJT_PGUIFSFDUBOHMF0GUIFFRVBM JDFDSFBN%JWJEFJU IPSJ[POUBMMJOFT4IBEF4 _ JOUPUIJSETCZESBXJOH PGUIF BMSFBEZTIBEFE QBSUT _QBSUTBSFTIBEFEUXJDF4P WFSUJDBMMJOFT4IBEFPG UIFUIJSET ___PGUIFSFDUBOHMFJTTIBEFEUXJDF

So, each friend gets __ of a quart of ice cream. Explain XIZ ZPV EJWJEFEUIFSFDUBOHMFJOUP GPVSUITJO4UFQ

_3 Try This! Divide. 4 4 2 STEP 1 STEP 2 STEP 3

%JWJEFUIFSFDUBOHMFJOUPGPVSUIT %JWJEFUIFSFDUBOHMFJOUPIBMWFT 0GUIFFRVBMQBSUT _QBSUT 3 _1 _ 4IBEFPGUIFGPVSUIT 4IBEF2PGUIF 4 BMSFBEZTIBEFE BSFTIBEFEUXJDF4P _PG UIFSFDUBOHMFJTTIBEFEUXJDF

_3 © Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton So, 4 4 2 5 _

Getting Ready for Grade 6 P259 Share and Show Complete the model to find the quotient. Write the quotient in simplest form.

__5 4 2 5 __3 4 3 5 1. 6 __ 2. 4 __ Divide the rectangle into sixths. Shade 5 of the sixths.

Divide the rectangle into halves. Shade _1 _5 2 of 6 .

__2 4 3 5 __3 4 2 5 3. 3 __ 4. 5 __

On Your OwnN Complete the model to find the quotient. Write the quotient in simplest form.

2 5 __ 4 2 5 __ 4 3 5 5. 5 __ 6. 8 __

Draw a model to find the quotient. Write the quotient in simplest form.

4 4 _ 4 2 5 _ 4 3 5 7. 9 __ 8. 5 __

__9 9. Heather, Jocelyn, and Dane are each swimming one leg of a 10 -mile race. They will divide the distance equally. How far will each team member swim?

Company Harcourt Publishing Mifflin © Houghton

P260 Lesson 8 Name Ratios Essential Question How can you express real world quantities as ratios?

Max sells bouquets of roses. There are 3 yellow t "SBUJPJTFYQSFTTFECZDPNQBSJOHPOF roses and 2 red roses. What is the ratio of yellow part to another, such as 4 feet to 20 toes, to red roses? or 3 yellow roses to

A ratio is a comparison of two numbers. .

 Materials n two-color counters

Model the data.  STEP 1 Use 3 counters with the yellow side up to represent yellow roses and 2 counters with the red side up to represent red roses.

STEP 2 Write the ratio of yellow to red roses. tRatios can be written in different ways. _3 3 to 2 or 3:2 or 2 (as a fraction) _3 3:2 2 So, the ratio of yellow roses to red roses is __3 to 2 , __, or __.

In the example above, you compared a part to a part. You can also use a ratio to compare a part to a whole or a whole to a part. Try This! Show a ratio of red counters to total counters.

STEP 1 $PVOUUPGJOEUIFOVNCFSPGSFEDPVOUFST_

 STEP 2 $PVOUUPGJOEUIFUPUBMOVNCFS PGDPVOUFST _

 STEP 3 Write the ratio. ______

How would the SBUJPDIBOHFJGZPVGPVOEUIF ratio of total counters to red

© Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton counters?

Getting Ready for Grade 6 P261 Share and Show

Find the ratio of red counters to yellow counters.

1a. How many red counters are there?  

1b. How many yellow counters are there? 1c. What is the ratio of red to yellow counters?

Write the ratio.

2. squares to circles 3. total squares to dark squares

On Your OwnN For 4–6, use the drawing to write the ratio.

4. dark to light 5. light to dark 6. light to total

For 7–9, use the drawing to write the ratio.

7. triangles to circles 8. dark to light 9. total shapes to circles

For 10–12, write the ratio.

10. weekdays to 11. weekend days to 12. days in a week to weekend days days in a week days in January

13. The ratio of length to width in Gus’s driveway is 13 yards to 4 yards. What is this ratio in feet? (Hint: 3 ft = 1 yd) © Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton

P262 Lesson 9 Name Equivalent Ratios Essential Question How can you determine if two ratios are equivalent?

To make brass, you can mix 2 parts zinc to 3 parts  t :PVLOPXUIBUFBDIHSPVQPG[JODUP copper, a ratio of 2 to 3. If you have 12 bars of copper copper bars needed to make brass has and use them all, how many bars of zinc do you need a ratio of 2 to 3. How can you use this to make brass? group to find an equivalent ratio?

Since ratios can be written as fractions, 2 to 3 can _2 be written as 3 . Use what you know about equivalent fractions to find equivalent ratios.

Use a diagram to find an equivalent ratio. q`eZ

STEP 1 Draw bars to represent a 2 to 3 ratio Zfgg\i of zinc to copper.

STEP 2 Add groups until you have 12 bars of copper.





STEP 3 Count the zinc bars. Write an equivalent ratio.

There are 8 zinc bars. So, 2 to 3 is equivalent to the ratio 8 to 12.

Try This! Use equivalent ratios to find out if 6:8 is equivalent to 18:24.

STEP 1 Write the ratios as fractions. STEP 2 Write the fractions in simplest form. Then compare.

6 18 _____6 4 2 5 __3 ______18 4 6 5 __3 6:8 = __ 18:24 = ___ 8 24 8 4 2 4 24 4 6 4

_3 Both ratios equal 4 , so they are equivalent.

How does knowing how to simplify fractions help you decide whether two ratios are equivalent? © Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton

Getting Ready for Grade 6 P263 Share and Show

Are the ratios 3:5 and 12:20 equivalent?

1a. Write both ratios as fractions. 1b. Are both ratios in simplest form?

1c. Write both ratios in simplest form. 1d. Are the ratios equivalent?

Write equivalent or not equivalent.

2. 1 to 3 and 2 to 6 3. 3 to 7 and 12 to 21

On Your OwnN Write the equivalent ratio.

4. 5 to 2 5 _ to 4 5. 3 to 6 5 7 to _ 6. 7:2 5 _ :6

7. 14 to 21 5 _ to 15 8. 6:10 5 _ :30 9. 8 to 9 5 40 to _

Write equivalent or not equivalent.

10. 3:5 and 21:35 11. 4 to 3 and 36 to 24 12. 27:72 and 9:24

13. Three of every 5 pizzas that Miggy’s Pizza sells are cheese pizzas. Miggy’s sold 80 pizzas today. How many of them would you expect were cheese?

© Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton

P264 Lesson 10 Name Rates Essential Question How can you find rates and unit rates?

CONNECT You know how to write ratios to compare  t 8IBU BSFUIFVOJUTPGUIFRVBOUJUJFT two quantities. A rate is a ratio that compares two that are being compared? quantities that have different units of measure. A unit rate is a rate that has 1 unit as its second term.  t 8IBUPQFSBUJPOTDBOZPVVTFUPXSJUF Rafael is shopping at a used book and music store. equivalent ratios? A sign advertises 4 CDs for $12. What is the unit rate for the cost of 1 CD?

Write the rate in fraction form. Then find the unit rate. STEP 1

Write the rate in fraction form to compare dollars to CDs. dollars ______12_____ CDs

STEP 2

Divide to find an equivalent rate so that 1 is the second term.

4 Would it make 12____5 12______5 ____ unit rate sense to compare CDs to 4 4 4 1 dollars to find a unit rate? Explain. So, the unit rate for CDs is __ for 1 CD.

t What if the regular price of CDs is 5 for $20? What is the unit rate for CDs at the regular price? Explain how you found your answer. © Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton

Getting Ready for Grade 6 P265 Share and Show

1. Find the unit rate of speed for 120 miles in 2 hours.

miles 120 4 2 ______5 ______5 _____ hours 2 4

The unit rate of speed is ____ per ____.

Find the unit rate.

2. $5.00 for 2 T-shirts 3. 200 words in 4 min 4. 150 mi on 10 gal of gas

On Your OwnN Write the rate in fraction form.

5. 90 words in 2 min 6. $1.20 for 6 goldfish 7. $0.05 per page

Find the unit rate.

8. $208 for 4 tires 9. 300 mi per 15 gal 10. 240 people per 2 sq mi

11. An ice skating rink charges $1.50 to rent ice skates for 30 minutes. What is the unit rate per hour for renting ice skates?

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P266 Lesson 11 Name Distance, Rate, and Time Essential Question How can you solve problems involving distance, rate, and time?

You can use the formula d 5 r 3 t to solve problems t 8IBUXPSEJTVTFEJOQMBDFPGSBUF involving distance, rate, and time. In the formula, d represents distance, r represents rate, and t represents time. The rate is usually a unit rate comparing distance t 8IBUBSFUIFHJWFOWBMVFT to time, such as miles per hour.

t 8IBUJTUIFVOLOPXOWBMVF

The winner of an automobile race drove 500 miles at an average speed of 150 miles per hour. How long did it take the winner to finish the race? STEP 1 STEP 2 STEP 3

Write the formula. 3FQMBDFd with 500 and 6TFXIBUZPVLOPXBCPVU r with 150. JOWFSTFPQFSBUJPOTUPGJOEt. d 5 r 3 t d 5 r 3 t 500 4 5 t 500 5 3 t _15 t 3 3

So, it takes the winner __ hours or __ hours __ minutes to complete the race.

A race car driver traveled at an average speed of 120 miles per hour to finish a race in 2 hours. What was the length of the race?

STEP 1 STEP 2 STEP 3

Write the formula. 3FQMBDFr with 120 and t with 2. .VMUJQMZUPTPMWFGPSd.

d 5 r 3 t d 5 r 3 t d 5 120 3 2

d 5 3 d 5

So, the race was miles long. Why were __ different operations used in

© Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton Step 3 of Examples 1 and 2?

Getting Ready for Grade 6 P267 Share and Show

45 3 1. A cyclist travels miles in hours. Write the formula: d 5 3 What is the cyclist’s speed? Replace d with _. Replace t with _. The rate is _ miles per hour.

Use the formula d 5 r 3 t to solve. Include the units in your answer.

2. A train travels at an average speed of 80 3. A horse travels at an average speed of miles per hour for 5 hours. How far does 12 miles per hour. How long does it take the train travel? the horse to travel 60 miles?

On Your OwnN

Use the formula d 5 r 3 t to solve. Include the unit in your answer.

4. A hiker travels at a speed of 5. A snail travels at a speed of 6. A boat travels 6 miles in 3 miles per hour for 3 hours. 2 centimeters per minute. 24 minutes. What is the How far does the hiker travel How long does the snail take average speed of the boat? in that time? to travel 30 centimeters?

7. d 5 320 cm 8. d 5 ___ 9. d 5 150 ft

r 5 ___ r 5 50 km per hr r 5 20 ft per min

5 8 5 t sec t 5 6 hr t ___

___

10. In an experiment, Ava found that it took a ball 5 seconds to roll down an 80-foot ramp. What is the average speed of the ball?

11. Jason’s family is driving 1,375 miles to Grand Canyon National Park. They plan to drive at an average speed of 55 miles per hour. How long will they be driving to reach the park?

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P268 Name   Concepts and Skills

Draw a model to find the quotient. Write the quotient in simplest form. (pp. P259–P260) 3 2 3 __ 4 3 __ 4 5 __ 4 2 1. 4 2. 3 3. 7

______

For 4—6, use the drawing to write the ratio. (pp. P261–P262) 4. squares to triangles 5. total to dark 6. triangles to total

______

Write the equivalent ratio. (pp. P263–P264)

7. 8 to 3 5 ____ to 12 8. 2 to 6 5 4 to ____ 9. 11:4 5 ____ :16

Find the unit rate. (pp. P265–P266)

10. 45 visitors with 5 tour guides 11. 450 mi on 15 gal of gas 12. $56 in 8 hr

______

Use the formula d 5 r 3 t to solve the problem. Include the units in your answer. (pp. P267–P268)

13. d 5 __ 14. d 5 90 ft 15. d 5 300 mi

r 5 40 km per hr r 5 10 ft per sec r 5 __

t 5 3 hr t 5 __ t 5 4 hr

Use the table for 16–17. (pp. P265–P268)

16. Fuel efficiency can be written as a rate comparing the distance driven to the gallons of gas used. What is the Fuel Test Results fuel efficiency of Car A written as a unit rate? Distance Car (in mi) Gas (in gal) _____ A 308 14 B 288 12 17. During the test, Car B was driven at the speed of 48 miles per hour. How long did the test take?

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Getting Ready for Grade 6 P269 Fill in the bubble completely to show your answer. 18. To make fruit punch for a party, Alison used 3 quarts of pineapple juice and 2 gallons of orange juice. There are 4 quarts in a gallon. What is the ratio of pineapple to orange juice in quarts? (pp. P261–P262) A 3 to 2 B 3 to 5 C 3 to 8 D 8 to 3

19. Three out of every 10 pairs of skis sold by Snow Sports are cross-country skis. Snow Sports sold 450 pairs of skis during the winter season. How many of the skis were likely to have been cross-country skis? (pp. P263–P264) A 443 B 135 C 45 D 30

20. At Greentree Elementary School, there are 72 fifth graders in 3 classrooms. What unit rate describes this situation? (pp. P265–P266) 14 __2 A 5 fifth graders per class B 18 fifth graders per class C 24 fifth graders per class D 216 fifth graders per class

21. Eduardo rides his bicycle for 6 hours. What was Eduardo’s average speed if he rides a distance of 84 miles? Use the formula d 5 r 3 t. (pp. P267–P268) A 504 mi per hr B 90 mi per hr C 78 mi per hr D 14 mi per hr © Houghton Mifflin Harcourt Publishing Company Harcourt Publishing Mifflin © Houghton

P270

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