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Lesson 11.7 Capacity and Weight

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Lesson 11.7 Capacity and Weight Objective To review customary units of capacity. 1 Teaching the Lesson materials Key Activities ٗ Math Journal 2, p. 305 Students review equivalencies between units of capacity. They find the weight of one cup of ٗ Study Link 11᭜6 uncooked rice and use this information to estimate the weights of an average Thai and ٗ measuring cup Bangladeshi family’s annual rice consumption. ,empty milk cartons (pint, quart ٗ ᎏ1ᎏ Key Concepts and Skills 2 gallon, gallon) Use division to solve conversion problems. [Operations and Computation Goal 4] ٗ ᎏ1ᎏ • 12 cups rice ,Round to the nearest whole number. [Operations and Computation Goal 6] ٗ 1 gallon pourable substance (water • • Estimate weight with and without tools. [Measurement and Reference Frames Goal 1] sand, unpopped popcorn, or light • Describe relationships among customary units of capacity. packing pellets) (Measurement and Reference Frames Goal 3] ٗ scale (accurate to nearest ounce] ٗ Key Vocabulary cup • pint • quart • gallon • capacity slate; chart paper 2 Ongoing Learning & Practice materials Students create a bar graph to display population data. ٗ Math Journal 2, pp. 306 and 307 Students practice and maintain skills through Math Boxes and Study Link activities. ٗ Student Reference Book, p. 302 ,Study Link Master (Math Masters ٗ Ongoing Assessment: Informing Instruction See page 887. p. 334) Ongoing Assessment: Recognizing Student Achievement Use journal page 307. [Measurement and Reference Frames Goal 3] 3 Differentiation Options materials ٗ READINESS ENRICHMENT EXTRA PRACTICE ELL SUPPORT Math Journal 2, p. 305 ٗ Students sort Students estimate Students convert Students add Teaching Aid Master (Math Masters, containers according the number of among customary capacity to their p. 389) to capacity. containers needed units of capacity. Math Word Banks. ٗ Differentiation Handbook to hold a quantity ٗ 5-Minute Math, p. 132 of rice. ;empty containers of various sizes ٗ empty copy-paper carton; measuring cup; pourable substance, such as sand; and calculator See Advance Preparation Additional Information Advance Preparation For the optional Readiness activity in Part 3, identify several containers Technology by letter (A, B, C, …), designating a middle-size container as the target capacity. Assessment Management System Math Boxes, Problem 4 See the iTLG. 884 Unit 11 3-D Shapes, Weight, Volume, and Capacity Getting Started Mental Math and Reflexes Have students write the greater of two integers on their slates. Suggestions: 15 or –20 15 –24 or –240 –24 11.5 or –11.2 11.5 –3 or 1 1 –103 or –130 –103 –48.5 or 5.3 5.3 45 or –62 45 –65 or –605 –65 –2.98 or –2.89 –2.89 Math Message Study Link 11᭜ 6 Follow-Up Fill in the missing numbers in the Math Message Have partners compare answers and strategies. problems at the top of journal page 305. Ask volunteers to share the number sentences they wrote for Problems 9 and 10. 1 Teaching the Lesson ᭤ WHOLE-CLASS Math Message Follow-Up DISCUSSION (Math Journal 2, p. 305) Display the cup, pint, quart, half-gallon, and gallon containers. Ask students to identify each. Review the answers to the Math Message. To support English language learners, have students model the equivalencies by pouring water or another substance from one container into the other. Ask: Did anyone figure out the meaning of the picture next to the Math Message problems? The “frame” is in the shape of the letter G. It represents the word gallon. Inside the G, there are four Qs. Each Q represents the word quart. Inside each Q, there are two Student Page Ps. Each P represents the word pint. Inside each P, there are two Date Time Cs. Each C represents the word cup. LESSON 11 ᭜ 7 Converting Measurements 137 Explain that cup, pint, quart, and gallon are units of capacity in Math Message Capacity 1 pint ϭ 2 cups the U.S. customary system. is a measure of the amount 1 quart ϭ 2 pints of liquid or other substance a container can hold. Capacity is a 1 half-gallon ϭ 2 quarts ϭ 4 type of volume measure. Tell students that the liter is a unit of 1 gallon quarts Think: How can the picture above help you remember how many cups are in a pint, capacity in the metric system. A liter and a quart container will how many pints are in a quart, and how many quarts are in a gallon? hold approximately the same amount of liquid. Rice Consumption Answers vary 1. Round your answer to the nearest ounce. for Problem 1. One cup of dry (uncooked) rice weighs about 8 ounces. Answers for ELL Problems 2–5 2. Use the answer in Problem 1 to complete the following: Adjusting the Activity assume that the a. 1 pint of rice weighs about 16 ounces. answer for b. 1 quart of rice weighs about 32 ounces. Problem 1 is Have students create a poster of the gallon frame shown on journal c. 1 gallon of rice weighs about 128 ounces. 8 ounces. page 305 and display it as a reminder of equivalent capacities in the U.S. d. 1 gallon of rice weighs about 8 pounds. (1 pound ϭ 16 ounces) customary system. 3. On average, a family of 4 in Bangladesh eats about 170 pounds of rice per month. a. That is about how many pounds per year?2,040 pounds ᭜ ᭜ ᭜ AUDITORY KINESTHETIC TACTILE VISUAL b. How many gallons?255 gallons 4. On average, a family of 4 in the United States eats about 120 pounds of rice per year. That is about how many gallons per year?15 gallons 1 ᎏᎏ 5. On average, a family of 4 in Thailand eats about 3 2 gallons of rice per week. a. That is about how many gallons per year?182 gallons b. How many pounds?1,456 pounds 305 Math Journal 2, p. 305 Lesson 11᭜7 885 Student Page Date Time WHOLE-CLASS LESSON ᭤ 76 302 Finding the Weight 11 ᭜ 7 Largest Cities by Population ACTIVITY 1. Use the data in the Largest Cities by Population table at the top of Student Reference Book, page 302 to complete the bar graph. Round each figure to the nearest million. of a Cup of Rice Largest Cities by Population (Math Journal 2, p. 305) 36 34 32 ons) 30 i ll i 28 Tell students that in this lesson they will apply their knowledge n m 26 i 24 of capacity and weight to compare the consumption of rice in 22 20 18 Bangladesh, the United States, and Thailand. Ask: 16 14 ● Number of People ( 12 How would you measure rice if you needed a certain amount 10 Tokyo Mexico New York São Mumbai Calcutta Shanghai for a recipe? Probably with a measuring cup City City Paulo (Bombay) Cities ● How would you find the weight of one cup of uncooked rice? 2. Make three statements comparing the cities in the bar graph. Sample answer: Weigh an empty measuring cup. Fill it with Example: About 21 million more people live in Tokyo than in Shanghai. Sample answers: About the same number of rice to the 1-cup level. Weigh the filled cup. Subtract the weight people live in Mexico City and New York City; about 1 million more people live in São Paulo of the empty cup from the weight of the cup containing rice. than Mumbai; about twice as many people live in Tokyo as São Paulo. ● About how many ounces do you think a cup of uncooked rice weighs? (Record a few estimates on the board.) Ask two students to weigh 1 cup of rice as accurately as they can. ᎏ1ᎏ ᎏ1ᎏ 306 Expect a range of 7 to 8 ounces for 1 cup. Have the class round Math Journal 2, p. 306 2 2 the result to the nearest ounce and record it in Problem 1 on journal page 305. PARTNER ᭤ Solving Problems Involving ACTIVITY Units of Weight and Capacity (Math Journal 2, p. 305) Students use the weight of 1 cup of rice to solve Problems 2–5 on journal page 305. These problems involve conversions between gallons and pounds. After a few minutes, bring the class together to go over the answers. Problem 2: Assuming that 1 cup of uncooked rice weighs about Student Page 8 ounces, then 1 pint weighs about 16 ounces; 1 quart about World Tour 32 ounces; and 1 gallon about 128 ounces. Because there are Fascinating Facts 16 ounces in 1 pound, 128 ounces is equivalent to 8 pounds Smallest Countries by Population Largest Cities by Population Country Area (sq miles) Population City, Country Population (128 Ϭ 16 ϭ 8). You can use the same procedure if 1 cup of rice Vatican City 0.17 900 Tokyo, Japan 34,450,000 Tuvalu 10 11,000 Mexico City, Mexico 18,066,000 Nauru 8 13,000 New York City, U.S. 17,846,000 is found to weigh about 7 ounces. Then 1 gallon would weigh Palau 177 20,000 Sao Paulo, Brazil 17,099,000 San Marino 24 28,000 Mumbai (Bombay), India 16,086,000 about 7 pounds. Monaco 0.75 32,000 Calcutta, India 13,058,000 Liechtenstein 62 33,000 Shanghai, China 12,887,000 Problem 3: A family of 4 in Bangladesh eats about 170 pounds Languages with the Most Speakers Speakers Language (in millions) Countries of rice per month. That is equivalent to 2,040 pounds per year. Chinese 873 16 Spanish 322 43 To find the number of gallons, divide the total weight by 8. English 309 107 Hindi 180 17 Ϭ ϭ Portuguese 177 33 2,040 8 255 gallons Bengali 171 9 Russian 145 31 Japanese 122 25 Problem 4: 120 Ϭ 8 ϭ 15 gallons Cellular Telephone Use ᎏ1ᎏ Number of Cellular Problem 5: A family of 4 in Thailand eats about 3 gallons of Telephone Subscriptions Subscriptions 2 Country (in millions) per 100 People Taiwan 25.1 110.8 rice per week.
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