Solve each equation. + y = + p = 7. Reasoning Does 2 s = 16 have the same solution as 16 = 2 s? Explain. Yes; s 32 in each equation.

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1 -. Plan Lesson Preview heck Skills You ll Need Solving Equations With Fractions Lesson -6: Examples. Extra Practice p. 6. Lesson Resources What You ll Learn OJETIVE OJETIVE - To change units of length and capacity To change units of weight...nd Why To find the weight of a bike, as in Example hanging Units in the ustomary System heck Skills You ll Need For help, go to Lesson -6. Solve each equation.. + y =. x - =. 0 = d +. + p =. = 6 6. k = h. Reasoning Does s = 6 have the same solution as 6 = s? Explain. Yes; s in each equation. 0 Teaching Resources Practice, Reteaching, Enrichment heckpoint Quiz OJETIVE hanging Units of Length and apacity Interactive lesson includes instant self-check, tutorials, and activities. Reaching ll Students Practice Workbook - Spanish Practice Workbook - Reading and Math Literacy Spanish Reading and Math Literacy Spanish heckpoint Quiz Guided Problem Solving - Hands-On ctivities Presentation ssistant Plus! Transparencies heck Skills You ll Need - Problem of the Day - dditional Examples - Student Edition nswers - Lesson Quiz - PH Presentation Pro D-ROM - heckpoint Quiz omputer Test Generator D Technology Resource Pro D-ROM omputer Test Generator D PH Presentation Pro D-ROM Student Site Teacher Web ode: abk-00 Self-grading Lesson Quiz PH SuccessNet Teacher enter Lesson Planner Resources Plus INSTNT HEK SYSTEM Reading Math The customary system is sometimes called the English system, even though it is no longer used in England. hapter Operations With Fractions Most people in the United States use the customary system of measurements for length, capacity, and weight. You can use fractions and mixed numbers to change units in the system. Unit Type Equivalents Length inch (in.) foot () yard (yd) mile (mi) ustomary Units of Measure in. yd mi,0 apacity fluid ounce (fl oz) cup (c) pint (pt) quart (qt) gallon (gal) c fl oz pt c qt pt gal qt hanging Units of Length Weight ounce (oz) pound (lb) ton (t) lb 6 oz t,000 lb Real World arpentry carpenter has a board 0 long. piece in. long is cut from the board. What is the length in feet of the remaining piece? You need to subtract in. from 0. in. = = d Write in. as a fraction of a foot. 0 - = 9 - = d Rename 0 as 9. Then subtract. The remaining piece is long. heck Understanding How much shorter than a 0- board is a board in. long? Ongoing ssessment and Intervention efore the Lesson Diagnose prerequisite skills using: heck Skills You ll Need During the Lesson Monitor progress using: heck Understanding dditional Examples Test Prep er the Lesson ssess knowledge using: Lesson Quiz omputer Test Generator D hapter heckpoint (p. )

2 OJETIVE hanging Units of Weight heck Understanding To change from a smaller unit to a larger unit, you. hanging Units of apacity How many one-cup servings are in a 6-fl oz bottle of juice? Think of the relationship between fluid ounces and cups. To change 6 fl oz to cups, 6 by. 6 =. There are one-cup servings in a 6-fl oz bottle. How many one-cup servings are in a 0-fl oz bottle? 6 servings To change from a larger unit to a smaller unit, you. Real-World Problem Solving ycling The lighter the frame of a mountain bike, the easier it is to cycle. Which bike shown in the ad will be easier to cycle? Think of the relationship between pounds and ounces. To change lb to ounces, by 6. 6? 6 =? d Write as an improper fraction. Then. = 6 The -lb bike weighs 6 oz. It is lighter than the 6-oz bike. a. Find the number of ounces in heck Understanding lb. oz b. Number Sense Explain why you to change from a larger to a smaller unit, and to change from a smaller to a larger unit. It takes more smaller units to equal the larger units. It takes fewer larger units to equal the smaller units. fl oz c lb 6 oz 6. Teach Math ackground The units of measure commonly used in the United States are known as the ustomary System. Students should know how to convert between units of measure. To change from a larger unit to a smaller unit, such as pounds to ounces,. To change from a smaller unit to a larger unit, such as feet to miles,. Teaching Notes Visual Learners Display different-sized empty bottles and cartons to help students get a better sense of the units used to measure capacity. lternative Method Some students prefer ing by a fraction of equivalent measures. For instance, to convert 0 ounces to pounds, you could set up this multiplication: 0 oz? lb 6 oz 0 6 lb lb lb lb Multiplying by the fraction 6 oz is the same as ing by since the values in the numerator and the denominator are equal. dditional Examples EXERISES Practice by Example Example (page ) For more practice, see Extra Practice. Exercise has been started for you.. 6 in. = ; 6 =. 9 in. =. 60 in. =. = in.. 6 in. = 6 6. Measurement How many feet tall is a woman whose height is 66 in.? carpenter cuts a 0 in. piece from an board. What is the length in feet of the remaining piece? 6 How many one-cup servings are in a 0-fluid-ounce sports drink bottle? one-cup servings Which weighs more a -lb book or a oz catalog? The book that weighs oz - hanging Units in the ustomary System losure Reaching ll Students elow Level Have students identify measurement abbreviations and write the conversion relationship. in. and inches foot c and fl oz cup fluid ounces lb and oz pound 6 ounces dvanced Learners hallenge students to find five different ways to express their height. Sample: in.; ; 6 in.; 6 yd; about mi lternative Method See note on page. Visual Learners See note on page. How do you change from a smaller unit to a larger unit? How do you change from a larger unit to a smaller unit?

3 . Practice ssignment Guide Objective ore, 6, 9, 6 Extension, 9 0 Objective ore,, Extension, Test Prep Mixed Review 6 6 Error Prevention! Suggest students sketch pictures for each size unit. Practice - hanging Units in the ustomary System Tell whether you would or to change from one unit of measure to the other.. tons to pounds. pints to quarts. feet to yards. gallons to pints. cups to quarts 6. pounds to ounces, qt = gal. t = lb 9. yd = in. 0. yd =. 60 c = qt. gal = pt 0 09, in. =.,0 oz = lb. t = oz 6. = yd. 9 in. = yd.,0 = mi fl oz = pt 0. gal = fl oz. pt = fl oz,60 6,6,0. mi =. mi = in.. mi = yd 0. lb 6 oz = lb 6. qt fl oz = qt. yd = yd Solve.. United States farms produced,60,000,000 bushels of soybeans in 99. How many quarts is this? ( bushel is quarts.),0,000,000 quarts 9. In 99, rian erg built an -story house using playing cards. The house was tall. How many inches is this? in. hoose an appropriate customary unit of measure. 0. capacity of a mug. length of a family room fluid ounce foot. distance between two capital cities. capacity of a shampoo bottle mile ounce Reteaching - hanging Units in the ustomary System Length Weight apacity inches (in.) foot () 6 ounces (oz) pound (lb) fluid ounces (fl oz) cup (c) yard (yd),000 lb ton (t) c pint (pt),0 mile (mi) pt quart (qt) To change to a larger unit,. 66 in. =9 qt =9pt is larger than in. in in. = qt = pt qt gallon (gal) To change to a smaller unit,.?? pt is smaller than qt. qt pt Multiply to change to a smaller unit. Write the fact you used. in. oz 0 oz. =. c =. lb = in. c fl oz lb 6 oz pt qt c. qt =. gal = 6. pt = qt pt gal qt pt c 0,60 pt,000 lb. mi =. 6 qt = 9. t = mi,0 qt pt t,000 lb Example (page ) Example (page ). fl oz measures capacity. n oz measures weight.. lb; math books usually weigh more than 6 oz. 0. yd; more than a foot, less than a mile. no; quarter-pound oz hapter Operations With Fractions. fl oz = c 6. 6 fl oz = c 9. 6 fl oz = c 0. c = floz. fl oz = c. 9 c = floz. lb = oz. lb = oz 6. lb = oz oz = lb. 0 oz = lb. oz = lb 6 Tell whether you would or to change from one unit of measure to the other. mult. div. 9. gallons to quarts 0. ounces to pounds. yards to feet mult.. pints to cups mult.. feet to miles div.. tons to pounds mult.. Writing in Math Explain how fluid ounces and ounces differ. See above le. 6. Geography The length of the mazon River in South merica is about,000 mi. How many feet is this?,0,000 GPS hoose an appropriate unit of measure. Explain your choice.. length of your pencil. weight of your math book in.; a pencil is less than a foot. See below le. 9. capacity of a swimming pool 0. length of a sports field gal; largest unit of capacity See below le.. capacity of a soda can. distance between two cities fl oz; capacity is less than cups. mi; largest unit of length. 00 lb = t. t = lb,00. gal = qt 6. pt = qt. yd = yd. 6 = yd 9. pt = c lb = oz. qt = c 0. mi =,0. oz = lb. qt = gal. Error nalysis Your friend claims that a quarter-pound hamburger is heavier than a six-ounce hamburger. Is your friend correct? Explain. See le. 6. Data File, p. Find the length in feet of Kings anyon. 6,0 Order each set of measurements from smallest to greatest.. 0 mi, 0 yd, and. gal, c, and qt 0 yd,, mi c, qt, gal 0 9. Measurement Three students recorded their heights as 6 in., 6, and yd. Find the average height in feet of the three students Hiking You are hiking a -mi long trail. You pass by a sign showing that you have hiked,000. How many feet do you have le to hike? 9,60. Stretch Your Thinking Place the digits,,, 9 6 = = j j j j and in the boxes to make the equation true. Divide to change to a larger unit. Write the fact you used. c lbgal. 0 qt = 0. oz =. oz = c fl oz lb 6 oz gal qt. c = pt.,000 lb = t. oz = 6 lb pt c t,000 lb lb 6 oz qt 9 yd 6. pt =. =. 0 in. = qt pt yd in. 9. The Missouri River is,0,00 yards long. Express this measurement,0 miles in miles. GPS Use the Guided Problem Solving worksheet with Exercise 6.

4 Reading omprehension,96 Sea level 9,6 Test Prep Mauna Kea. about mi taller Take It to the NET Online lesson quiz at Web ode aba-00 Mixed Review Lesson - Lesson - Read the passage and answer the questions below. Sea level Mount Everest. bout how many miles high is Mauna Kea?. bout how many miles taller is Mauna Kea than Mount Everest? See le.. How many yards below sea level is the Dead Sea? yd. bout what fraction of a mile below sea level is the Dead Sea? about mi lgebra 9,0 limb or Dive? What is the tallest mountain in the world? Mt. Everest has the highest elevation above sea level. However, Hawaii s Mauna Kea is truly the world s tallest mountain, though much of it is hidden in the Pacific Ocean. What is the lowest elevation on Earth? The Dead Sea is, below sea level. In the oceans, the lowest elevation is the Marianas Trench. It lies 6,9 below the surface of the Pacific Ocean. Write an equation for each sentence. Then solve the equation. 6. The sum of a number and is.. Ten less than a number is. n ± ;. number increased by is 6. n 0 ; 9. Five times a number is. n ± 6; hoose a reasonable estimate. n ; capacity of a soda can 0 ml 0 ml or 0 L 6. height of your desk 6 cm 6 cm or 6 m about 6 mi high heckpoint Quiz Lessons - through -. ssess Lesson Quiz -. 6 in. =. 6 qt = pt. 6 fl oz = c. lb = oz hapter heckpoint To check understanding of Lessons - to -: heckpoint Quiz (p. ) Teaching Resources heckpoint Quiz (also in Prentice Hall ssessment System) Reaching ll Students Reading and Math Literacy Spanish versions available Test Prep Resources For additional practice with a variety of test item formats: Test-Prep, p. Test-Taking Strategies, p. Test-Taking Strategies with Transparencies Instant self-check quiz online and on D-ROM Find each product or quotient..? ? lgebra Solve each equation.. a - = = z +. t - =-. in. = 9. 6 gal = qt 0. lb = oz Enrichment - Patterns in Measurement On a far-off planet, the following four units are used for measuring length: lap, mut, pal, and word.their relationships are shown in the table at the right.. Use a conversion factor to convert words to pals. words pal words 0 pals. Use a conversion factor to convert 0 pals to muts. 0 pals 9 pals mut muts. Use a conversion factor to convert muts to laps. muts lap 6 muts laps. Which of the units is the smallest? word. Which of the units is the largest? lap 6. What pattern do you notice about the quantity of units as you convert from the smallest unit to the largest unit? There are fewer units of a larger measure. Measurement: hanging Units in the ustomary System lap = 6 muts mut = 9 pals pal = words - hanging Units in the ustomary System lternative ssessment Provide pairs of students with tape measures or yardsticks. Have them measure various classroom objects, such as the length and width of a desk, and report the measurement in inches. Then have them write each measurement in feet and, when practical, in yards.. Use a conversion factor to convert laps to muts. laps 6 muts lap muts. Use a conversion factor to convert muts to pals. muts 9 pals mut pals 9. Use a conversion factor to convert pals to words. pals words pal,96 words 0. What pattern do you notice about the quantity of units as you convert from the largest unit to the smallest unit? There are more units of a smaller measure.. What general statement can you make about the quantity of units relative to their size? The larger the unit, the smaller the quantity and vice versa.

5 Extension Estimating in Different Systems Students practice estimating equivalent measures in the metric system and the customary system. Teaching Notes Have students think of examples of where and when it might be useful to approximate a measure in one measurement system when that measure is expressed in the other system. Sample: an merican traveling in frica or a European traveling in the United States Inclusion Emphasize that the relationships among the measurements are approximations and should be used for estimating only. Teaching Tip You may find it useful to work through how to express each of the estimates given in reverse order. For example, guide students to figure out how many kilometers are in a mile, or how to estimate kilograms given a weight in pounds. Error Prevention! s needed, review mental math procedures for ing and dividing by powers of 0. Diversity Some students may be more familiar with the metric system than with the customary system. Have these students share their knowledge with the class. Every day you see measurements in both the customary system and the metric system. You can use estimates to help you compare measurements across the two systems. liter is a little less than a quart. meter is a little more than a yard. n inch is about. cm. kilometer is about 0.6 mi. kilogram is about. lb. You may be more familiar with temperatures measured in Fahrenheit than in elsius. You can use the table at the right to help you relate to elsius temperatures. Extension Which measurement is longer, cm or 0 in.? One inch is about. cm. = 0?. d Multiply by 0 to find the number of centimeters in 0 in. = d There are about cm in 0 in. 0 in. is longer than cm. EXERISES Which of the two measurements is greater? Estimating in Different Systems For Use With Lesson km or 00 mi 600 km. 0 or 0F 0. 0 L or 0 gal 0 gal. 0 cm or in. in.. 0 lb or 0 kg 0 kg 6. 0F or 0 0. Travel sign says Jacksonville, 00 km. bout how many miles would you have to drive to get there? about 0 mi elsius Temperature. lothing sign indicates that the temperature is. Would you be more comfortable in a short-sleeved shirt or in a ski parka? short-sleeved shirt 9. n exchange student tells you that he is cm tall and weighs kg. a. bout how many feet tall is the exchange student? about 6 b. bout how many pounds does the exchange student weigh? about lb 0. Hiking You are told to bring about a gallon of water for a long hike. ottled water is sold in liter bottles. How many liter bottles should you buy? bottles How It Feels hot nice cold ice 6 Extension Estimating in Different Systems 6