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STUDY LINK 11 1 The World’s Largest Foods 327 140 Name Date Time Copyright © Wright Group/McGraw-Hill Use the information in the table to solve the following problems. 1. The largest apple weighed ounces. 2. A typical hamburger weighs about 4 ounces. The largest hamburger weighed ounces. 3. Which 2 foods together weigh about a ton? and 4. A kilogram is a little more than 2 pounds. Which 4 foods each weigh more than 1,000 kilograms? 5. On the back of this page, use data from the table to write and solve your own problem. Food Weight Date Location Apple 3 pounds 11 ounces October 1997 Linton, England Bagel 714 pounds July 1998 Mattoon, Illinois Bowl of pasta 7,355 pounds February 2004 Hartford, New York Chocolate bar 5,026 pounds March 2000 Turin, Italy Garlic 2 pounds 10 ounces 1985 Eureka, California Gingerbread man 372.13 pounds November 2003 Vancouver, Canada Hamburger 6,040 pounds September 1999 Sac, Montana Ice cream sundae 22.59 tons July 1988 Alberta, Canada Pumpkin 1,337 pounds October 2002 Topsfield, Massachusetts Taco 1,654 pounds March 2003 Mexicali, Mexico Source:www.guinnessworldrecords.com Practice 6. $75 $25 7. $45 ($30) 8. $60 $60 9. $55 ($25)STUDY LINK 11 2 Solids Copyright © Wright Group/McGraw-Hill 328 101 102 Name Date Time 1. The pictures below show objects that are shaped approximately like geometric solids. Identify each object as one of the following: cylinder, cone, sphere, triangular prism, square pyramid,or rectangular prism. a. Type: d. Type: b. Type: e. Type: c. Type: f. Type: 2. Mark Xs on the vertices of the 3. How many edges does the rectangular prism. tetrahedron have? edges 4. Circle the numbers that are multiples of 7. 132 7,000 63 560 834 91 5. Circle the numbers that are multiples of 12. 24 120 38 600 100 75 Practice
STUDY LINK 11 3 Geometry Riddles 329 101–103 Name Date Time Copyright © Wright Group/McGraw-Hill Answer the following riddles. 1. I am a geometric solid. I have two surfaces. One of my surfaces is formed by a circle. The other surface is curved. What am I? 3. I am a polyhedron. I am a prism. My two bases are hexagons. My other faces are rectangles. What am I? 6. $20 $30 7. $35 ($35) 8. $10 ($25) 9. $0 ($100) 10. $15 ($40) 11. $300 ($100) Try This 5. Write your own geometry riddle. 2. I am a geometric solid. I have one square base. I have four triangular faces. Some Egyptian pharaohs were buried in tombs shaped like me. What am I? 4. I am a polyhedron. All of my faces are the same. All of my faces are equilateral triangles. I have eight faces. What am I? Practice
STUDY LINK 11 4 Volume Copyright © Wright Group/McGraw-Hill 137 138 Name Date Time TAB TAB TAB TAB Cut out the pattern below and tape it together to form an open box. 1. Find and record two items in your home that have volumes equal to about 1 2of the volume of the open box. 2. Find and record two items in your home that have about the same volume as the open box. 3. Find and record two items in your home that have volumes equal to about 2 times the volume of the open box. Practice 4. 96 ÷ 4 5. 86 / 5 6. 23 82 7. 4 358 330
STUDY LINK 11 5 Volume 331 Name Date Time Copyright © Wright Group/McGraw-Hill 1. Find the volume of each stack of centimeter cubes. a. b. Volume cm 3 Volume cm 3 2. Calculate the volume of each rectangular prism. a. b. Number model: Number model: Volume cm 3 Volume cm 3 3. What is the total number of cubes needed to completely fill each box? a. b. cubes cubes 6 cm 3 cm3 cm 2 cm 5 cm 9.7 cm 4. 65 16 5. 21 (19) 6. 84 (55) 7. 16 89 Practice 137 138
LESSON 11 5 Name Date Time Hidden Cubes 332 Copyright © Wright Group/McGraw-Hill 1. The stacks of cubes shown below are called soma cubesand were first designed in 1936 by Piet Hein, a Danish poet and scientist. Use interlocking cubes to build the stacks shown below. Use a small stick-on note to label each stack with the appropriate letter. Then record the number of cubes needed to build each stack. AcubesBcubesCcubesDcubes EcubesFcubesGcubes Use the cube stacks that you made above to build each of the figures below. The figures do not have any hidden holes. Record the number of cubes needed to build each figure and the cube stacks that you used. 2. cubes I used the following cube stacks to build the figure: 3. cubes I used the following cube stacks to build the figure: 4. cubes I used the following cube stacks to build the figure: Try This
STUDY LINK 11 6 Positive and Negative Numbers 333 660 Name Date Time Copyright © Wright Group/McGraw-Hill Add or subtract. 1. 40 (70) 2. 12 20 3. 14 (6) 4. 10 (5) 5. 15 (1) 6. 12 7 7. 60 (130) 8. 2 (20) 9. Write two subtraction problems with an answer of 8. 88 10. Write two addition problems with an answer of 30. 3030 Write or to make a true number sentence. 11. 0 7 6 12. 11 13 (5) 13. 7 (2) 8 14. 18 (8) 18 15. 26 (14) 27 (16) 16. 9 (11) 0 (20) List the numbers in order from least to greatest. 17. 3 60, 8, 14, 0.7, 5.6, 2.5 least greatest 18. 0.02, 3 5, 7, 4, 0.46, 2 64 least greatest Practice 19. 34 º 78 20. 46 º 959 21. 632 ÷ 4 22. 746 / 7
STUDY LINK 11 7 Capacity Copyright © Wright Group/McGraw-Hill 334 137 Name Date Time Container Capacity Measurements on Label bottle of hot chili sesame oil 5 fl oz, 148 mL Container Capacity Measurements on Label bottle of cooking oil 16 fl oz, 473 mL Container Capacity Measurements on Label Find at least one container that holds each of the amounts listed below. Describe each container and record all the capacity measurements on the label. 1. Less than 1 Pint Complete. 5. 2 quarts pints 6. 3 gallons cups 7. pints 4 cups 8. quarts 12 cups 9. 6 pints quarts 10. quarts 2 1 2gallons 2. 1 Pint 3. 1 Quart 4. More than 1 Quart 11. 3 7 12. 3 (7) 13. 40 (80) 14. 60 (60) Practice Container Capacity Measurements on Label
STUDY LINK 11 8 Unit 12: Family Letter 335 Name Date Time Copyright © Wright Group/McGraw-Hill Rates For the next two or three weeks, your child will be studying rates. Rates are among the most common applications of mathematics in daily life. A rate is a comparison involving two different units. Familiar examples come from working (dollars per hour), driving (miles per hour), eating (calories per serving), reading (pages per day), and so on. Our exploration of rates will begin with students collecting data on the rate at which their classmates blink their eyes. The class will try to answer the question “Does a person’s eye-blinking rate depend on what the person is doing?” During this unit, students will collect many examples of rates and might display them in a Rates All Around Museum.Then they will use these examples to make up rate problems, such as the following: 1.If cereal costs $2.98 per box, how much will 4 boxes cost? 2.If a car’s gas mileage is about 20 miles per gallon, how far can the car travel on a full tank of gas (16 gallons)? 3.If I make $6.25 per hour, how long must I work to earn enough to buy shoes that cost $35? Then the class will work together to develop strategies for solving rate problems. The unit emphasizes the importance of mathematics to educated consumers. Your child will learn about unit-pricing labels on supermarket shelves and how to use these labels to decide which of two items is the better buy. Your child will see that comparing prices is only partof being an educated consumer. Other factors to consider include quality, the need for the product, and, perhaps, the product’s effect on the environment. This unit provides a great opportunity for your child to help with the family shopping. Have your child help you decide whether the largest size is really the best buy. Is an item that is on sale necessarily a better buy than a similar product that is not on sale? Finally, students will look back on their experiences in the yearlong World Tour project and 50-facts test routine and share them with one another. Please keep this Family Letter for reference as your child works through Unit 12. 20 % Amount per Serving Serving Size 1 link (45 g) Calories 150 Calories from Fat 120 % Daily Value 1 % Total Carbohydrate 1 g Total Fat 13 g Protein 7 g Servings per Container 10
Copyright © Wright Group/McGraw-Hill 336 Vocabulary Important terms in Unit 12: Unit 12: Family Letter cont. STUDY LINK 11 8 Miles35 70 105 140 175 210 Gallons123456 comparison shopping Comparing prices and collecting other information needed to make good decisions about which of several competing products or services to buy. consumer A person who acquires products or uses services. per For each,as in ten chairs per row or six tickets per family. rate A comparison by division of two quantities with different units. For example, a speed such as 55 miles per hour is a rate that compares distance with time. rate table A way of displaying rateinformation as in the miles per gallon table below. unit price The price peritem or unit of measure. For example, if a 5-ounce package of something costs $2.50, then $0.50 per ounce is the unit price. unit rate Aratewith 1 in the denominator. For example, 600 calories per 3 servings or 6 300 sec ra vl io nr gie ss is not a unit rate, but 200 calories per serving (20 10 sec ra vlo inr gies )is a unit rate.
337 Copyright © Wright Group/McGraw-Hill Unit 12: Family Letter cont. STUDY LINK 11 8 Do-Anytime Activities To work with your child on concepts taught in this unit, try these interesting and rewarding activities: 1.Have your child examine the Nutrition Facts labels on various cans and packages of food. The labels list the number of servings in the container and the number of calories per serving. Have your child use this information to calculate the total number of calories in the full container or package. For example: A can of soup has 2.5 servings. There are 80 calories per serving. So the full can has 2.5 º80 200 calories. 2.Have your child point out rates in everyday situations. For example: store price rates: cost per dozen, cost per 6-pack, cost per ounce rent payments: dollars per month or dollars per year fuel efficiency: miles per gallon wages: dollars per hour sleep: hours per night telephone rates: cents per minute copy machine rates: copies per minute 3.Use supermarket visits to compare prices for different brands of an item and for different sizes of the same item. Have your child calculate unit prices and discuss best buys. In this unit, your child will play the following games. For more detailed instructions, see the Student Reference Book. Credits/Debits Game (Advanced Version)See Student Reference Book,page 239. This game for 2 players simulates bookkeeping for a small business. A deck of number cards represents “credits” and “debits.” Transactions are entered by the players on recording sheets. The game offers practice in addition and subtraction of positive and negative integers. Fraction Top-ItSee Student Reference Book,page 247. This game is for 2 to 4 players and requires one set of 32 Fraction Cards. The game develops skills in comparing fractions. Name That NumberSee Student Reference Book,page 254. This game is for 2 or 3 players and requires 1 complete deck of number cards. The game develops skills in representing numbers in different ways. Building Skills through Games
Copyright © Wright Group/McGraw-Hill 338 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 this unit’s Study Links. Unit 12: Family Letter cont. STUDY LINK 11 8 Study Link 12 1 2. 3 5 3. 1 8 4.15. 5 6 Study Link 12 2 1.$315 2.$12 3.14 hours 4. a.364 minutes per week b.156 minutes 5.9,0966.54,810 7.81 R48.13 Study Link 12 3 1.2,100 feet 2. a.3,500 pounds b.420 gallons 3.25 feet per second 4. a.375 gallons b.1,500 quarts 5. a.480 feet b.754 minutes, or 12 1 2hours 6.1,5937.55,080 8.180 R49.67 Study Link 12 4 1.8 cents 2.$0.69 3.$0.35 4.Answers vary. 5.1, 12; 2, 6; 3, 4 6.1, 50; 2, 25; 5, 10 Study Link 12 5 1.$0.63 2.$0.37 3.$0.15 4.$0.35 5.$1.02 6.Sample answer: The 8-ounce cup is the better buy. The 8-ounce cup costs 9 cents per ounce, and the 6-ounce cup costs 10 cents per ounce. 7.Answers vary. 8.1, 2, 3, 6, 7, 14, 21, 42 9.1, 23 Study Link 12 6 1.1,245 miles 2.About 9 times 3. a.About 69% b.About 49% 4. 58 4, or 24 7 5. a.China b.6 c.9 d.9 1 2