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LESSON 9 1 Name Date Time Playing Fraction Match 278 Copyright © Wright Group/McGraw-Hill Copyright © Wright Group/McGraw-Hill 1. Katrina is playing Fraction Match.The target card is 3 4. She has the following cards in her hand. Circle the card she may play. 2. Suppose she had 3. Imagine that a WILD card allowed a WILD card in her Katrina to name any fraction hand. Write a equivalent to 3 4. Write two fractions different fraction, that she could name. equivalent to 3 4, that she could name. 12 1  2 122 3 2  3 234 5 4  5 456 8 6  8 683 9 3  9 39 12 1  2 122 3 2  3 234 5 4  5 456 8 6  8 683 9 3  9 39 WILD Name an equivalent fraction with a denominator of 2, 3, 4, 5, 6, 8, 9, 10, or 12. WILD WILD 1. Katrina is playing Fraction Match.The target card is 3 4. She has the following cards in her hand. Circle the card she may play. 2. Suppose she had 3. Imagine that a WILD card allowed a WILD card in her Katrina to name any fraction hand. Write a equivalent to 3 4. Write two fractions different fraction, that she could name. equivalent to 3 4, that she could name. WILD Name an equivalent fraction with a denominator of 2, 3, 4, 5, 6, 8, 9, 10, or 12. WILD WILD LESSON 9 1 Name Date Time Playing Fraction Match

10. Shade more than 11 00 0 and less than 13 00 0 of the grid. Write the value of the shaded part as a decimal and a percent. Decimal: Percent: 11. Shade more than 25% and less than 60% of the grid. Write the value of the shaded part as a decimal and a percent. Decimal: Percent: 12. Shade more than 0.65 and less than 0.85 of the grid. Write the value of the shaded part as a decimal and a percent. Decimal: Percent: STUDY LINK 9 1 Fractions, Decimals, and Percents 279 Name Date Time Copyright © Wright Group/McGraw-Hill Rename each decimal as a fraction and a percent. 1. 0.90  —100  % 2. 0.53  —100  % 3. 0.04  —100  % Rename each percent as a fraction and a decimal. 4. 60%  —100  . 5. 25%  —100  . 6. 7%  —100  . Rename each fraction as a decimal and a percent. 7. 15 00 0 .% 8. 17 05 0 .% 9. 16 00 .% 61 62 Practice Order the fractions from smallest to largest. 13. 3 6, 3 3, 3 5, 3 7 14. 2 3, 6 7, 1 2, 1 29 0

STUDY LINK 9 1 Trivia Survey Copyright © Wright Group/McGraw-Hill 280 70 Name Date Time Conduct the survey below. The results will be used in Lesson 9-6. Find at least five people to answer the following survey questions. You can ask family members, relatives, neighbors, and friends. BE CAREFUL! You will not ask every person every question. Pay attention to the instructions that go with each question. Record each answer with a tally mark in the Yes or No column. Question Yes No 1.Is Monday your favorite day? (Ask everyone younger than 20.) 2.Have you gone to the movies in the last month? (Ask everyone older than 8.) 3.Did you eat breakfast today? (Ask everyone over 25.) 4.Do you keep a map in your car? (Ask everyone who owns a car.) 5.Did you eat at a fast-food restaurant yesterday? (Ask everyone.) 6.Did you read a book during the last month? (Ask everyone over 20.) 7.Are you more than 1 meter tall? (Ask everyone over 20.) 8.Do you like liver? (Ask everyone.)

LESSON 9 1 Name Date Time 50% of a Square 281 Copyright © Wright Group/McGraw-Hill Benito and Silvia each shaded 50% of a grid. 1. Do you think they shaded the grids correctly? Explain your reasoning. 2. Shade 50% of the grids below in different ways. Explain how you know you have shaded 50%. a. b. 3. Shade 50% of the grid. Explain how you know you have shaded 50%. Try This

STUDY LINK 9 2 Coins as Percents of $1 Copyright © Wright Group/McGraw-Hill 282 38 39 Name Date Time 1. How many pennies in $1? What fraction of $1 is 1 penny? Write the decimal that shows what part of $1 is 1 penny. What percent of $1 is 1 penny? % 2. How many nickels in $1? What fraction of $1 is 1 nickel? Write the decimal that shows what part of $1 is 1 nickel. What percent of $1 is 1 nickel? % 3. How many dimes in $1? What fraction of $1 is 1 dime? Write the decimal that shows what part of $1 is 1 dime. What percent of $1 is 1 dime? % 4. How many quarters in $1? What fraction of $1 is 1 quarter? Write the decimal that shows what part of $1 is 1 quarter. What percent of $1 is 1 quarter? % 5. How many half-dollars in $1? What fraction of $1 is 1 half-dollar? Write the decimal that shows what part of $1 is 1 half-dollar. What percent of $1 is 1 half-dollar? % 6. Three quarters (75¢) is 3 4of $1. 7. Two dimes (20¢) is 12 0of $1. Write the decimal.Write the decimal. What percent of $1 is What percent of $1 is 3 quarters? % 2 dimes? % 8. 748 º 6 9. 51 º 90  10. 28 º 903 Practice

LESSON 9 2 Name Date Time Percent Patterns 283 Copyright © Wright Group/McGraw-Hill Complete each set of statements. Use grids or base -10 blocks, or draw pictures to help you. Look for patterns in your answers. Example: 50% is the same as 50 per 100. If there are 50 per 100, then there are per 10. per 1,000. per 20. per 200. 1. 20% is the same as 20 per 100. 2. 30% is the same as 30 per 100. If there are 20 per 100, then there are If there are 30 per 100, then there are per 10. per 1,000. per 10. per 1,000. per 20. per 200. per 20. per 200. 3. 80% is the same as 80 per 100. 4. 60% is the same as 60 per 100. If there are 80 per 100, then there are If there are 60 per 100, then there are per 10. per 1,000. per 10. per 1,000. per 20. per 200. per 20. per 200. 100 10 500 5 Try This 5. 75% is the same as 75 per 100. 6. 120% is the same as 120 per 100. If there are 75 per 100, then there are If there are 120 per 100, then there are per 10. per 1,000.per 10. per 1,000. per 20. per 200. per 20. per 200.

STUDY LINK 9 3 Calculator Decimals Copyright © Wright Group/McGraw-Hill 284 206 207 Name Date Time 1. Use your calculator to rename each fraction below as a decimal. 2. Make up some of your own. 3. 696  4. 91 / 5  5. 864 8 6. 575 7  11 4 1 2 0 . 013698 1— 1— 1— 73 1— 1— 1— 0.5 1 3 0.333333 1 4 1 5 1 6 1 7 1 8 1 9 11 0 11 1 11 2  11 3 11 5 11 6 11 7 11 8 11 9 21 0 21 1 21 2 21 3 21 4  21 5 Practice

STUDY LINK 9 4 Fractions and Decimals to Percents 285 62 206 207 Name Date Time Copyright © Wright Group/McGraw-Hill Do NOT use a calculator to convert these fractions to percents. On the back of this page, show your work for Problems 3 – 6. 1. 13 04 0  % 2. 16 07 0  % 3. 4 52 0 % 4. 1 23 5 % 5. 1 27 0 % 6. 12 25 5  % Use a calculator to convert these fractions to percents. 7. 2 93 2 % 8. 1 42 0 % 9. 2 30 2 % 10. 4 79 0 % 11. 46 00 0  % 12. 2 51 6 % 13. Describe how you used your calculator to convert the fractions in Problems 7–12 to percents. Do NOT use a calculator to convert these decimals to percents. 14. 0.86  % 15. 0.03  % 16. 0.140  % 17. 0.835  % Order the fractions from smallest to largest. 18. 17 6, 7 8, 17 2, 7 9 19. 17 5, 13 5, 18 5, 14 5 20. 5 9, 1 15 6, 1 4, 19 0 Practice

LESSON 9 4 Name Date Time “Percent-of” Problems 286 Copyright © Wright Group/McGraw-Hill Use counters to solve the problems on this page. 1. If is 100%, draw 50%. 2. If is 100%, draw 25%. 50% of 10 25% of 16  3. If is 100%, draw 10%. 4. If is 50%, draw 100%. 10% of 20 50% of 6 5. If is 75%, draw 100%. 6. If is 40%, draw 100%. 75% of 9 40% of 8 7. Pick one of the problems from above and explain how you got your answer. Problem 38 39

LESSON 9 4 Name Date Time Discount Number Stories 287 Copyright © Wright Group/McGraw-Hill 1. A store is having a sale on gym shoes. The regular price of the High Flyers is $50. Now they are on sale for $38. The Zingers are $15 off the regular price. When not on sale, the Zingers cost $75 a pair. Which pair has the greater “percent-of” discount? Explain your answer. 2. The same store is also having a sale on tennis rackets. The regular price of the Smasher is $54.00. It is on sale for 25% off the regular price. The regular price of the Fast Flight is $75.00. It is on sale for 20% off the regular price. For which tennis racket are you getting more money taken off the regular price? Explain your answer. 38 39

STUDY LINK 9 5 Renaming Fractions as Percents Copyright © Wright Group/McGraw-Hill 288 Name Date Time In 2001, there were about 2,317,000 marriages in the United States. The table below shows the approximate number of marriages each month. 1. Use a calculator to find the percent of the total number of marriages that occurred each month. Round the answers to the nearest whole-number percent. 2. According to the table, what is the most popular month for a wedding? What is the least popular month for a wedding? 3. Describe how you used your calculator to find the percent for each month. Name all the factors of each number. 4. 63 5. 28 PracticeApproximate Approximate Month Number of Percent of Marriages Total Marriages January 147,000 6% February 159,000 March 166,000 April 166,000 May 189,000 June 237,000 July 244,000 August 225,000 September 224,000 October 217,000 November 191,000 December 152,000 Source: U.S. Department of Health and Human Services 62 207

LESSON 9 5 Name Date Time Rounding Percents 289 Copyright © Wright Group/McGraw-Hill The number lines below are curved like hills. You can use them to help you roundpercents to the nearest whole-number percent. Example: Round 89.7% to the nearest whole-number percent. Think: Which whole-number percents are nearest to 89.7%? If I look at the number line, 89%is the whole-number percent to the left of 89.7%. If I look at the number line, 90%is the whole-number percent to the right of 89.7%. What number would be exactly halfway between 89% and 90%? Mark 89.7% on the curved number line. Would 89.7% slide down to 89% or 90%? 89.7% rounded to the nearest whole-number percent is 90%. 1. Round 23.6% to the nearest whole-number percent. Label the curved number line. Mark 23.6%. 23.6% would slide down to . 23.6% rounded to the nearest whole-number percent is . 2. Round 92.1% to the nearest whole-number percent. Label the curved number line. Mark 92.1%. 92.1% would slide down to . 92.1% rounded to the nearest whole-number percent is . 89.5% 89.7% 89% 90%

LESSON 9 6 Name Date Time Trivia Survey Data Chart 290 Copyright © Wright Group/McGraw-Hill Class Results for the Trivia Survey Question Yes No Total % Yes 1.Monday 2.movies 3.breakfast 4.map 5.fast food 6.read 7.meter 8.liver Ye sTotal

STUDY LINK 9 6 Use Percents to Compare Fractions 291 62 207 Name Date Time Copyright © Wright Group/McGraw-Hill 1. The girls’ varsity basketball team won 8 of the 10 games it played. The junior varsity team won 6 of 8 games. Which team has the better record? Explain your reasoning. 2. Complete the table of shots taken (not including free throws) during a game. Calculate the percent of shots made to the nearest whole percent. 3. The basketball game is tied. Your team has the ball. There is only enough time for one more shot. Based only on the information in the table, which player would you choose to take the shot? Why? PlayerShots Shots Total S Th oo tats lSM ha od te s  % of Shots Made Missed Shots Made 1512 17 15 7 29% 256 330 492 543 6115 764 811 4. 1 3 1 6 5.  3 4 1 2 6.  17 0 1 5 7. 5 8 1 4 Practice

LESSON 9 6 Name Date Time “Fraction-of” a Collection 292 Copyright © Wright Group/McGraw-Hill Part One 1. Estimate the total number of pattern blocks in the jar given to you by your teacher. pattern blocks 2. Estimate the total number of red trapezoids in the jar. red trapezoids 3. Write your estimates as a fraction.  4. Record the estimates made by the members of your group. Part Two 5. Count the number of pattern blocks in the jar. pattern blocks 6. Count the number of red trapezoids in the jar. red trapezoids 7. Record the counts as a fraction.  Part Three 8. Which of your group members’ estimates do you think was closest to the actual fraction of trapezoids in the jar? Explain why you think so. total number of red trapezoidstotal number of pattern blocks total number of red trapezoidstotal number of pattern blocks 59

LESSON 9 7 Name Date Time Map of Region 4 293 Copyright © Wright Group/McGraw-Hill Vietnam Turkey Russia Japan Iran IndiaChina Australia Bangladesh Thailand Title: 301

STUDY LINK 9 7 Least-Populated Countries Copyright © Wright Group/McGraw-Hill 294 38 39 Name Date Time The table below shows the approximate population for the 10 least-populated countries in the world. Use the data to estimate answers to the problems. Country Population Vatican City 900 Tuvalu 11,000 Nauru 13,000 Palau 20,000 San Marino 28,000 Monaco 32,000 Liechtenstein 33,000 St. Kitts and Nevis 39,000 Antigua and Barbuda 68,000 Dominica 69,000 Source: Top Ten of Everything 2004 1. The population of Liechtenstein is about % of the population of Dominica. 2. What country’s population is about 33% of Liechtenstein’s population? 3. The population of Vatican City is about % of the population of Palau. 4. The population of the 10 countries listed is 314,900. What 3 country populations together equal about 50% of that total? 5. The population of St. Kitts and Nevis is about % of Nauru’s population. 6. 27 º 4  7. 508 º 8 8. 63 º 86 9. 849 º 52  Practice

LESSON 9 7 Name Date Time Color-Coded Map for Percent of Literacy 295 Copyright © Wright Group/McGraw-Hill 299 A literate person is a person who can read and write. People who cannot read and write are said to be illiterate. Percent of literacy is the fraction of the total population that is literate—the number of people out of 100 who are literate. Young children are not counted until they reach an age at which they are expected to read and write. 1. Make a prediction: Do you think there is a relationship among population statistics on literacy, age, and rural or urban living? 2. In the table below, list the countries in Region 4 fromgreatest to least according to the percent of the population that is literate. (See Student Reference Book, page 299.) Rank Country Percent of Literacy Color Code 1 A ustralia 100% blue 2blue 3blue 4green 5green 6green 7green 8red 9red 10red 3. Color these countries on the map on Math Masters, page 293 according to the color code in the table. 4. Compare this map with the population ages 0 –14 and percent rural maps. Do the data support the prediction you made in Problem 1? Explain your answer on the back of this page. Include reasons why you think a country might be colored red or blue on all three maps.

STUDY LINK 9 8 Multiplying Decimals Copyright © Wright Group/McGraw-Hill 296 Name Date Time For each problem below, the multiplication has been done correctly, but the decimal point is missing in the answer. Correctly place the decimal point in the answer. 1. 6 º 4.3  258 2. 72 º 6.8  4896 3. 0.96 º 47  4512 4. 5.12 º 22  112 6 4 5. 8,457 º 9.8  828786 6. 0.04 º 140  56 7. Explain how you decided where to place the decimal point in Problem 4. Try This 8. 5.9 º 36  9. 0.46 º 84  10. 7.21 º 53 Practice 11. 96 6 12. 46 7  13. 411 / 3 14. 99 03  Multiply. Show your work.

LESSON 9 8 Name Date Time Multiplying Whole Numbers 297 Copyright © Wright Group/McGraw-Hill Write a number model to estimate each product. Then multiply with a paper-and-pencil algorithm. Show your work. 1. 7 º 68  2. 534 º 6  Number model: Number model: 3. 58 º 67 4. 33 º 275  Number model: Number model: 18 19 Try This 5. Margo’s favorite socks are on sale for $2.89 per pair. She has $25. Can she buy 6 pairs? Explain how to solve this problem without using a paper-and-pencil algorithm.

STUDY LINK 9 9 Dividing Decimals Copyright © Wright Group/McGraw-Hill 298 Name Date Time For each problem below, the division has been done correctly, but the decimal point is missing in the answer. Correctly place the decimal point in the answer. 1. 88.8 / 6  14 8 2. 1.35 / 5  2700 3. 99.84 / 4  24 96 4. 2.58 / 3  860 5. 163.8 / 7  23 4 6. 233.28 / 4  5832 7. Explain how you decided where to place the decimal point in Problem 3. 8. 6 25.2 Answer: 9. 41 54.8 Answer: 10. 9 5.8 5 Answer: Try This 11.  5 8 2 8 12. 5 9 1 3 13.  17 0 12 0 14. 19 0 1 2 Practice Divide. Show your work.

299 Copyright © Wright Group/McGraw-Hill LESSON 9 9 Name Date Time Dividing Whole Numbers Write a number model to estimate each quotient. Then divide with a paper-and-pencil algorithm. Show your work. 1. 79 / 6  2. 92 / 3  Number model: Number model: 3. 573 / 4 4. 945 / 18  Number model: Number model: 22 23 5. The school has $357 to spend on new science books. If the books cost $9 each, how many books can they buy? books Explain how to solve this problem without using a paper-and-pencil algorithm. Try This

STUDY LINK 9 10 Unit 10: Family Letter Copyright © Wright Group/McGraw-Hill 300 Name Date Time Reflections and Symmetry In this unit, your child will take another look at geometry, with an emphasis on symmetry. Many objects in nature are symmetrical: flowers, insects, and the human body, to name just a few. Symmetry is all around—in buildings, furniture, clothing, and paintings. The class will focus on reflectional symmetry,also called line symmetryormirror symmetry,in which half of a figure is the mirror image of the other half. Encourage your child to look for symmetrical objects, and if possible, to collect pictures of symmetrical objects from magazines and newspapers. For example, the right half of the printed letter T is the mirror image of the left half. If you have a small hand mirror, have your child check letters, numbers, and other objects to see whether they have line symmetry. The class will use a device called a transparent mirror,which is pictured below. Students will use it to see and trace the mirror image of an object. Geometry is not only the study of figures (such as lines, rectangles, and circles), but also the study of transformations or “motions” of figures. These motions include reflections (flips),rotations(turns), and translations(slides). Your child will use these motions to create pictures like the ones below, called frieze patterns. Students will also work with positive and negative numbers, looking at them as reflections of each other across zero on a number line. They will develop skills of adding positive and negative numbers by thinking in terms of credits and debits for a new company, and they will practice these skills in the Credits/Debits Game. Please keep this Family Letter for reference as your child works through Unit 10.

301 Copyright © Wright Group/McGraw-Hill Vocabulary Important terms in Unit 10: frieze pattern A geometric design in a long strip in which an element is repeated over and over. The element may be rotated, translated, and reflected. Frieze patterns are often found on the walls of buildings, on the borders of rugs and tiled floors, and on clothing. image The reflection of an object that you see when you look in the mirror. Also a figure that is produced by a transformation (reflection, translation, or rotation) of another figure. See preimage. line of reflection A line halfway between a figure (preimage) and its reflected image. In a reflection, a figure is “flipped over” the line of reflection. line of symmetry A line drawn through a figure that divides the figure into two parts that are mirror images of each other. The two parts look alike, but face in opposite directions. negative number A number that is less than zero; a number to the left of zero on a horizontalnumber line or below zero on a vertical number line. The symbol “” may be used to write a negative number. For example, “negative 5” is usually written as 5. preimage A geometric figure that is somehow changed (by a reflection,a rotation,or a translation, for example) to produce another figure. See image. reflection (flip) The “flipping” of a figure over a line (the line of reflection) so that its image is the mirror image of the original (preimage). rotation (turn) A movement of a figure around a fixed point, or axis; a “turn.” symmetric Having the same size and shape on either side of a line, or looking the same when turned by some amount less than 360. transformation Something done to a geometric figure that produces a new figure. The most common transformations are translations (slides), reflections (flips), and rotations (turns). translation A movement of a figure along a straight line; a “slide.” In a translation, each point of the figure slides the same distance in the same direction. translation reflection line of symmetry preimage image line of reflection Unit 10: Family Letter cont. STUDY LINK 910

Copyright © Wright Group/McGraw-Hill 302 Do-Anytime Activities To work with your child on concepts taught in this unit, try these interesting and rewarding activities: 1.Have your child look for frieze patterns on buildings, rugs, floors, and clothing. If possible, have your child bring pictures to school or make sketches of friezes that he or she sees. 2.Encourage your child to study the mathematical qualities of the patterns of musical notes and rhythms. Composers of even the simplest oftunes use reflections and translations of notes and chords (groups of notes). 3.Encourage your child to incorporate transformation vocabulary—symmetric, reflected, rotated,andtranslated—into his or her everyday vocabulary. In this unit, your child will play the following games to develop his or her understanding of addition and subtraction of positive and negative numbers, practice estimating and measuring angles, practice plotting ordered pairs in the first quadrant of a coordinate grid, and identify properties of polygons. For detailed instructions, see the Student Reference Book. Angle TangleSeeStudent Reference Book,page 230. Two players need a protactor, straightedge, and several sheets of blank paper to play this game. This game provides practice estimating and measuring angle sizes. Credits/Debits GameSeeStudent Reference Book,page 238. Playing theCredits/Debits Gameoffers students practice adding and subtracting positive and negative numbers. Over and Up SquaresSeeStudent Reference Book,page 257. Two players need a gameboard and record sheet, 2 different-colored pencils, and 2 six-sided dice to play this game. Playing this game provides practice plottingordered pairs and developing a winning game strategy. Polygon Pair-UpSeeStudent Reference Book,page 258. To play this game, two players need a deck of polygon cards, a deck of property cards, and paper and pencils for sketching. Playing this game provides students with practice identifying properties of polygons. Building Skills through Games Unit 10: Family Letter cont. STUDY LINK 910

303 Copyright © Wright Group/McGraw-Hill As You Help Your Child with Homework As your child brings assignments home, you may want to go over the instructions together, clarifying them as necessary. The answers listed below will guide you through some of the Study Links in this unit. Study Link 10 2 1. 3. 5. Study Link 10 3 1. 3. Study Link 10 4 2. 3.Sample answers: horizontal vertical BOX TAX KID YOU BOOK MAT KICK HIM Study Link 10 5 1. a.reflectionb.translationc.rotation Study Link 10 6 1.2.3.4. 5.8, 3.4,  1 4, 1 2, 1.7, 5 6.43, 3, 0, 1 74, 5, 22 7.Sample answers: 1 4, 1 2, 3 4, 1 8.Sample answers: 2, 1,  1 2,  1 4 9. a.13b.5c.13 10. a.8b.2c.8 11. a.15b.11c.15 Capital Letters of the Alphabet Vertical Line of SymmetryHorizontal Line of Symmetry preimage image line of reflection preimage image line of reflection preimage pre image image preimage image Unit 10: Family Letter cont. STUDY LINK 910