Measure Capacity and Weight - Macmillan/McGraw-Hill
Transcription
Measure Capacity and Weight - Macmillan/McGraw-Hill
CHAPT E R 12 Measure Capacity and Weight Planner Skills Trace The BIG Idea Vertical Alignment Measurement is continued with the concepts of capacity, weight , and mass. In previous grades, students learned to compare both the weight and the capacity of objects by using such terms as heavier, lighter, holds more, and holds less. In Grade 2, vocabulary becomes more advanced as students will begin measuring objects using vocabulary from the metric and customary systems. Previous Grade In the previous grade, students learned to: • Compare and order containers by capacity. • Compare and order objects by weight. Targeted Standard GLE 0206.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. This Grade During this chapter, students learn to: • Measure using customary and metric units of capacity. • Measure the weight of objects using ounces and pounds. • Use grams and kilograms to measure the mass of objects. After this chapter, students learn to: • Demonstrate the relationships between wholes and their parts. Next Grade In the next grade, students learn to: • Measure perimeter, length, and time. Print and Online Professional Development articles can be found in the Teacher Resource Handbook. These articles on current issues will allow you to implement new mathematical strategies and enhance your classroom performance. Digital Videos The McGraw-Hill Professional Development Video Library provides short videos that support McGraw-Hill’s Math Connects. For support for this chapter, the following video is available. Volume Other videos, program walkthroughs, online courses, and video workshops are available at mhpdonline.com. 481A Measure Capacity and Weight Vertical Alignment and Backmapping McGraw-Hill’s Math Connects program was conceived and developed with the final results in mind: student success in Algebra 1 and beyond. The authors developed this brand-new series by backmapping from Algebra 1 concepts, and vertically aligning the topics so that they build upon prior skills and concepts and serve as a foundation for future topics. Chapter at a Glance Lesson Multi-Part Lesson 1 Pacing g Materials and Manipulatives 1 cup measuring cup, pint container, quart container, gallon container, large bucket, rice bucket rice, beans beans, index cards cards, liquid containers containers, 11,000 000 milliliter graduated cylinder, large spoon, liter bottle, milliliter dropper, 16 oz plastic cup Capacity A Capacity* B Customary Units of Capacity* C Metric Units of Capacity* D Problem-Solving Strategy:* Get ConnectED Leveled Worksheets Explore Worksheet Visual Vocabulary Cards Graphic Novel Animation Daily Transparencies Hands-On Activity Tools and Resources Act It Out Multi-Part Lesson 2 3 days Weight and Mass A Customary Units of Weight GLE 0206.1.5 B Metric Units of Mass GLE 0206.1.5 C Problem-Solving Investigation: Choose a Strategy Resources GLE 0206.1.2 Self-Check Quiz Virtual Manipulatives Lesson Animations Problem of the Day Real-World Problem Solving Readers Materials and Manipulatives pound and ounce weights, objects to weigh, bucket balance, index cards, bags Get ConnectED Leveled Worksheets Virtual Manipulatives Visual Vocabulary Cards Lesson Animations Hands-On Activity Tools and Resources Self-Check Quiz Graphic Novel Animation Daily Transparencies Problem of the Day Asterisks (*) denote lessons that are optional. Measure Capacity and Weight 481B CHAPT E R 12 Vocabulary and Language Connections Planner Math Vocabulary Glossary The following math vocabulary words are listed in the glossary of the Student Edition. Get ConnectED Find interactive definitions in 13 languages in the eGlossary and review vocabulary eGames at connectED.mcgraw-hill.com. capacity The amount of dry or liquid material a container can hold. cup (c) A unit to measure capacity or how much something holds. 1 cup = 8 ounces; 16 cups = 1 gallon gallon (gal) A liquid measure of capacity. 1 gallon = 4 quarts milliliter (mL) A metric unit used for measuring capacity. 1,000 milliliters = 1 liter ounce (oz) A customary unit for measuring weight or capacity. pint (pt) A customary unit for measuring capacity. 1 pint = 2 cups gram (g) A metric unit for measuring mass. kilogram (kg) A metric unit for measuring mass. pound (lb) A customary unit for measuring weight. 1 pound = 16 ounces liter (L) A metric unit of measure for volume or capacity. 1 liter = 1000 milliliters quart (qt) A customary unit for measuring capacity. 1 quart = 4 cups mass The amount of matter in an object. Two examples of units of measure would be gram and kilogram. weight A measurement that tells how heavy an object is. measure To find the length, height, weight, capacity, or temperature using standard or nonstandard units. Visual Vocabulary Cards Use Visual Vocabulary Cards to reinforce the vocabulary in this chapter in English and Spanish. (The Define/Example/ Ask routine is printed on the back of each card.) ISBN: 978-0-02-101738-6 MHID: 0-02-101738-7 481C Measure Capacity and Weight Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. ELL Support Multi-Part Lesson 1 Capacity Level AL Beginning Activity Background Knowledge OL Intermediate Scaffold Auditory, Kinesthetic, Intrapersonal BL Advanced Extend Listen and Write Linguistic, Social, Auditory Cooperative Learning Beyond Level Multi-Part Lesson 2 Modality Visual, Kinesthetic, Intrapersonal Weight and Mass Level AL Beginning Activity Word Meaning OL Intermediate Scaffold Auditory, Intrapersonal, Linguistic BL Advanced Extend Listen and Identify Logical, Social, Linguistic Real-World Bilingual Tutoring On and Beyond Level Get ConnectED Modality Kinesthetic, Visual, Auditory Find other English Language Learner strategies. ELL Resources The Professional Development articles listed below can be found in print and online in the Teacher Resource Handbook. • “English Learners and Mathematics: “Best Practices for Effective Instruction” by Kathryn Heinze (pp. TR32–TR33) • “Engaging English Language Learners in Your Classroom” by Gladis Kersaint • Multilingual eGlossary • Visual Vocabulary Cards • Language Alerts (pp. 488, 506) • ELL Guide (pp. 104–107) (pp. TR34–TR35) Measure Capacity and Weight 481D CHAPT E R 12 Learning Stations Planner individual Compare Capacities KINESTHETIC Materials: • Use connecting cubes to measure the capacity of five containers you find in your home. • household containers • connecting cubes • Record the measurement of each container. • Calculate the difference between the container with the greatest capacity and the container with the least capacity. • Put the containers in order of capacity from least to greatest. Teacher Note: Gather a supply of various clean household containers for students to use. 56 individual pair Weight Sentences The • Cut out 10 pictures of objects from magazines. • Choose two pictures to use in a rebus sentence. • Copy this sentence frame on your paper and glue a picture in place of the line so the sentence is correct. The weighs more than the . weighs m than th ore e LINGUISTIC VISUAL Materials: • magazines • glue • scissors • Repeat until all pictures have been used. Teacher Note: Make an example of this project to have on display at the station. 57 pair Sort by Ounces and Pounds • Look at the weight of each food container on the table. • Sort the containers into three groups: a group weighed in ounces, a group weighed in pounds, and a group weighed in ounces and pounds. • Make a list of the items in each group. Next to each item, record its weight. • Work with your partner to discuss how the items in each group are alike. Talk about how the items weighed in ounces are different than those weighed in pounds. Re-sort the items by food groups. Teacher Note: Gather various empty, clean food containers weighed in ounces and pounds for students to use, such as frozen foods, canned goods, boxed foods, and bread wrappers. Be sure there are no sharp edges on the containers. 58 481E Measure Capacity and Weight LINGUISTIC Materials: • empty food containers • paper • pencil SPATIAL individual What’s A Serving? Materials: Many people do not know what one serving of juice looks like. You have to check the label and measure to know for sure. • containers with mL marked • large, unmarked plastic cups • Without looking at the juice label, pour yourself what you think is a normal serving of juice into a plastic cup. • bottles of orange or apple juice • Now pour your serving of juice into the measuring container. How many milliliters is your serving? • paper • Check the label on the juice bottle. Compare your serving to the measurement given on the label. • pencil 59 pair Milliliter Art KINESTHETIC Materials: • Use markers to draw a colorful pattern that covers one side of a coffee filter. • coffee filters • Lay the coffee filter flat on a paper plate with the pattern side facing you. • markers • Fill a milliliter dropper with water. Squeeze the dropper over the filter so one drop of water is let out at a time. • milliliter droppers • Continue until the entire filter is wet. Tell a friend if it took about one milliliter, more than one milliliter, or less than 1 milliliter to cover the filter. • paper plates • container of water • Let your filter dry overnight. Teacher Note: Hang filters on a bulletin board or punch a hole in them and hang them from hooks in the ceiling of the classroom. 60 IWB You may wish to use the virtual calendar for this Calendar Time activity. Calendar Time • Display the current month’s calendar. Have a student point to the date. • Use the number of the date to have students compare weight, mass, or capacity. • For example, if the date is the 5th, ask students: Which is more? 5 ounces or 5 pounds? 5 pounds • Continue with other examples. For additional calendar activities, see the Math Routines on The Go cards. Measure Capacity and Weight 481F CHAPTER 12 CHAPTE R 12 Introduce the Chapter E Measure Capacity and Weight Essential Questions The • How could you find which of two objects is heavier? Sample answer: Put the objects on a scale and weigh them. Andre, Sophia, Omar, and Paul in The Lemonade Stand • Student Glossary • Graphic Organizer Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. • How is estimating capacity, weight, or mass like estimating sums? How is it different? Sample answers: It is similar because an estimate is not an exact answer. It is different because when estimating capacity, weight, or mass, you estimate visually; in addition, you estimate mentally. Introduce the key vocabulary in the chapter using the routine below. Define: Capacity is the amount a container can hold. Example: A bucket has a greater capacity than a drinking cup. Ask: Which has a greater capacity, a sink or a bathtub? English capacity weight mass How will I measure the capacity, weight, and mass of objects? • How is measuring capacity, weight, or mass with customary units the same as measuring with metric units? How is it different? Sample answers: They are the same because they use a standard tool to measure. They are different because the actual units of measure are different. Key Vocabulary Key Vocabulary BIG Idea The lemonade stand is looking good. Do we have everything? My mom made some lemonade this morning. I just have to go inside and get it. Everything but the lemonade! We were able to get five pitchers. Do you think it will be enough? We need to fill all five of them. Later... OK, I’ll go inside and check on the lemonade. I’ll be right back. Here is the lemonade my mom made. • What is happening? Sample answer: The friends are setting up a lemonade stand to sell lemonade. • What will happen next? Sample answer: They have to figure out if they have enough lemonade to fill all five pitchers. For additional reading and language arts activities, including support for reading a graphic novel, see Reading and Language Arts Support in the Grade 2 Math Connects Program Overview. Your Turn! In Lesson 1C, students will learn more about Andre, Sophia, Omar, and Paul’s adventure at the lemonade stand and solve a problem related to the graphic novel. ✔ 0206.1.15 Use age-appropriate books, stories, and videos to convey ideas of mathematics. 481 Measure Capacity and Weight I wonder if it will be enough? Yoursolvl eTthisurn! ill You will . problem in the chapter The Lemonade Stand Read the story together. You may wish to use the blank Graphic Novels provided in Hands-On Activity Tools and Resources to help develop writing and speech skills. Español Espa ol capacidad peso masa four hundred eighty-one 481_C12_CO_103028.indd 481 481 3/12/10 10:00 AM Animated Graphic Novel Visit connectED.mcgraw-hill.com to download the animated version of “The Lemonade Stand.” Chapter Connections Real World: Bake Time Chapter Project Tell students that they are going to learn about the kinds of measurements they make in the kitchen. Favorite Recipes • Display a variety of measuring cups and spoons. Ask students if they know what these items are. • Have students work in pairs to create a poster showing their favorite simple recipes. Bring some recipes to class as examples. • Ask students if they have used these items before. Ask how they used the measuring cup or spoon. Sample answer: to measure an amount of an ingredient E WRITE MATH Tell students they need to fill a small wading pool halfway with water to wash their dog. They will use a container to carry water from the front yard where the hose is to the backyard. They have three containers to choose from: a drinking cup, a plastic food storage container, and a bucket. Explain which container will they choose, and why. • Have a variety of measuring cups and spoons on hand so that you can point out the measuring tools called for in the recipes as you read through them. • Students can write one or two recipes. Each recipe has to include at least three measurements of capacity or weight/mass. • Have students draw the measuring tool next to the step that calls for that tool. They should also show the amount of ingredient. For example, for 2 cups of water, students could draw a measuring container filled to the 2-cup mark. • Ask students to share their posters with the class. Take turns trying out some of the recipes. Reading and Language Arts Support For activities to connect reading and language arts to this chapter’s math concepts, see Reading and Language Arts Support in the Grade 2 Math Connects Program Overview. Dinah Zike’s Foldables® When to Use It Lessons 1B, 1C, 2A, and 2B. (Additional Instructions for using the Foldable with these lessons are found in the Mid-Chapter Check and Chapter Review/Test.) Guide students to create their own Four-Pocket Book Foldable graphic organizer for capacity, weight, and mass. Fold a horizontal sheet of 11” by 17” paper in half, then in half again. Unfold to show four sections. Fold the bottom edge up two inches and crease well. Glue the outer edges of the two-inch tab to create four pockets. Repeat to create a second Four-Pocket Foldable. Label each pocket. Use to hold notes taken on index cards or quarter sheets of paper, or cut-outs from magazines. glue glue fold Measure Capacity and Weight 481G Diagnostic Assessment 1 ASSESS You have two options for checking Prerequisite Skills for this chapter. Text Option “Are You Ready for the Chapter?” SE Name Student Edition Circle the container that holds the most. 1. O Online Option Take the Online Readiness Quiz. 2. 3. Circle the heaviest object. 4. 5. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 6. 7. Josie ate 9 peanuts. Her father ate 2 apples. Which amount is heavier? Circle your answer. 9 peanuts Online Option 482 four hundred eighty-two 482_C12_AYR_103028.indd 482 482 Measure Capacity and Weight 2 apples Take the Online Readiness Quiz. This page checks skills needed for the chapter. 3/12/10 10:01 AM 2 DIAGNOSE AND PRESCRIBE 3 REASSESS RtI (Response to Intervention) Administer the Diagnostic Test. Based on the results of the Diagnostic Assessment, use the charts below to address individual needs before beginning the chapter. Diagnostic Test 001_004_C12_101883.ind d Page 4 TIER T 1 12/10/09 12:04:53 AM s-087 /Volumes/111/GO00395/M ath_Connects_CRM_G2_NA %0/Application_Files ion_Files/C12_101883 Name ______________ _______ _____________________ On Level _____________________ Diagnostic Test OL 001_004_C12_101883.indd Page 1 Are You Ready for the 12/10/09 12:04:47 :04:47 AM s-087 Circle the container /Volumes/111/GO00395/Math_Co nnects_CRM_G2_NA%0/Applicati on_Files on_Files/C12_101883 Name __________________ _________ Chapter? that holds more. 1. ___________________________ _________ WATER If students miss two in Exercises 1–7 2. Practice Circle the container that holds more. 3. choose a resource: 1. Circle the heavier object . Companies, Inc. (pp. 481E–481F) 5. Self-Check Quiz 6. 4. 7 apples 7 strawberries Weight 1 4 Grade 2 • Measure Capacity and TIER T 2 Strategic Intervention AL approaching grade level 001_004_C12_101883.indd Page 2 12/10/09 12:04:50 2:04:50 AM s-087 Inc. 7. Sammy ate 6 grapes . His brother ate 20 grapes . Which amount is heavie r? Circle your answer. 6 grapes 20 grapes 5. Joe has 7 apples. Judy has 7 strawberries. Which is heavier? Grade 2 • Measure Capacity and McGraw-Hill Companies, Get ConnectED Circle the heavier object. 3. Copyright © Macmillan/McGraw- Are You Ready? Practice 4. Copyright © Macmillan/McG raw-Hill, a division of The Learning Stations TE 2. Hill, a division of The McGraw-Hill Then Weight /Volumes/111/GO00395/Math_Co nnects_CRM_G2_NA%0/Applicati on_Files on_Files/C12_101883 Name __________________ _________ ___________________________ If students miss three to four in Exercises 1–7 Review Circle the container Then _________ choose a resource: that holds more. 1. Strategic Intervention Guide (pp. T98–T101) E 3. Companies, Inc. Lesson Animation JUIC Hill, a division of The McGraw-Hill Get ConnectED Copyright © Macmillan/McGraw- 2. Are You Ready? Review 2 Grade 2 • Measure Capacity and TIER T 3 If Then Weight Intensive Intervention 2 or more years below grade level students miss five or more in Exercises 1–7 use Math Triumphs, an intensive math intervention program from McGraw-Hill Chapter 7: Introduction to Measurement Beyond Level BL 001_004_C12_101883.indd Page 3 12/10/09 12:04:52 :04:52 AM s-087 /Volumes/111/GO00395/Math_Co nnects_CRM_G2_NA%0/Applicati on_Files on_Files/C12_1 Name __________________ _________ 01883 ___________________________ If students miss one or less in Exercises 1–7 _________ Apply Which container holds the most? 1. gallon jug or drinking glass Chapter Project (p. 481G) 2. bathtub or sink Get ConnectED Virtual Manipulatives Companies, Inc. Are You Ready? Apply Hill, a division of The McGraw-Hill TE Copyright © Macmillan/McGraw- Then 3. bucket or eyedropp er 4. spoon or cup 5. Which basket would be heavier, a basket of apples or a basket of feathers? 6. Which would hold more, a shoe box or a pencil box? Grade 2 • Measure Capacity and Weight 3 Measure Capacity and Weight 482A Dear Family, Today my class started the chapter Measure Capacity and Weight. In this chapter, I will learn to measure capacity and weight. Here are my vocabulary words, an activity we can do, and a list of books we can find in our local library. Love, Before you begin the Chapter: • Read the Math at Home letter with the class and have each student sign it. • Practice the activity so that students are familiar with it before trying it with their parents or guardians. • Send home copies of the Math at Home letter with each student. Activity ferent ers of dif 0 contain e. us ho Gather 1 e th around e th sizes from er child ord pacity Have your e least ca s from th er in a nt co ty. ci a p ca atest to the gre is activity Repeat th cts of with obje weights. nt re fe dif • Use the Spanish letter for Spanish-speaking parents or guardians who do not read English fluently. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. For more information about parent involvement, read the article, “The Role of Parents and Guardians in Young Children Learning Mathematics” by Paul Giganti, Jr. See the Teacher Resource Handbook pp. TR44–TR45. Books to Read Lulu’s Lemonade by Barbara de Rubertis Kane Press, Inc. Key Vocabulary capacity the amount of dry or liquid material that a container can hold weight a measurement that tells how heavy an object is Online Option See the multilingual eGlossary link at connectED.mcgraw-hill.com to find out more about these words. There are 13 languages. Room for Ripley by Stuart J. Murphy HarperCollins Children’s Books If Dogs Were Dinosaurs by David M. Schwartz Scholastic, Inc. four hundred eighty-three 483_484_C12_MH_103028.indd 483 483 Measure Capacity and Weight 483 3/12/10 10:02 AM Estimada familia: Hoy mi clase comenzó el capítulo Mide la capacidad y el peso. En este capítulo aprenderé a medir la capacidad y el peso. A continuación están mis palabras del vocabulario, una actividad que podemos hacer y una lista de libros que se encuentran en nuestra biblioteca local. Check with your school library or your local public library for these titles. Multi-Part Lesson 1 A House for Birdie Stuart J. Murphy Pigs in the Pantry Amy Axelrod Cariños, Vocabulario clave d Activida capacidad cantidad de material seco es de recipient Junte 10 años que m ta es nt difere . Pida en la casa encuentre loque los co ue q a su niño en de es en ord recipient a mayor d a pacid idad menor ca esta activ d. Repita pesos. es capacida nt re tos de dife con obje o líquido que cabe en un recipiente Multi-Part Lesson 2 peso medida que indica cuánto pesa How Heavy Is It? Brian Sargent un objeto If Dogs Were Dinosaurs David Schwartz Opción en línea Visiten el eGlosario políglota en connectED.mcgraw-hill.com para aprender más acerca de estas palabras. Hay 13 idiomas. Si los perros fueran dinosaurios de David M. Schwartz Scholastic, Inc. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Habitacíon para Repel de Stuart J. Murphy HarperTrophy Libros recomendados Gold Fever Verla Kay Multi-Part Lesson 3 Room for Ripley Stuart J. Murphy Additional Books Lulu’s Lemonade Barbara de Rubertis ✔ 0206.1.15 Use age-appropriate books, stories, and videos to convey ideas of mathematics. 484 four hundred eighty-four 483_484_C12_MH_103028.indd 484 3/12/10 10:02 AM Real-World Problem Solving Library Math and Science: Fossils Over Time Use these leveled books to reinforce and extend problem-solving skills and strategies. Leveled for: AL Approaching Level OL On Level BL Beyond Level SP Spanish Ma tem COVER _B14_G 02LEV_ SPA_20 1635X.i átic as y cie nci 4 as Ma tem átic y est udi as os soc iale 5 Resuelv e proble mas co ncretos Ma tem átic as 1C?J y cie J 6MPJB /PM@JCKnci as 2MJTGLE 1C?J6M,? RF? LB 2AG PJB/PM@ CLA C JCK2M JTGLE ,? , ? R RF RF? 1C?J6M F ??LB L LB LB B2 2AG A GGCL C CLA LA PJB/PM@ 2A AC C JCK2M JTGLE ,? s RF? LB 2AG CLA C ndd 1 For additional support, see the Real-World Problem Solving Readers Teacher Guide. ✔ 0206.1.15 Use age-appropriate books, stories, and videos to convey ideas of mathematics. Número s y op eracion es CPQ?LB .NCP? RGMLQ -SK@ @C CP CPQ Q? ?L LB B. . .N NC CP?RGM RRGGML MLQ Q -SK@ CPQ?LB .NCP? RGMLQ -SK@ 8/16/07 11 Leveled Reader Database Get ConnectED connectED.mcgraw-hill.com Search by • Content Area • Guided Reading Level • Lexile Score • Benchmark Level Measure Capacity and Weight 484 Multi-Part Lesson 1 Capacity Planner PART PART A Capacity PART A Capacity Title/Objective (pp. 485–486) B Customary Units of Capacity (pp. 487–490) B Customary Units of Capacity C Metric Units of Capacity D Problem-Solving Strategy: Act It Out E Explore units of capacity. Measure using customary units of capacity. Standards capacity cupp (c), pint capacity, p (pt), p quart q (qt), q g gallon (gal) g Vocabulary Visual Vocabulary Card 34 Essential Question What are some differences between a centiliter and a centimeter? What are some similarities? Sample answer: A centiliter is measuring a liquid and a centimeter is measuring a solid but they both are one hundredth of a larger unit. measuring cup, pint container, quart container, gallon container Materials/ Manipulatives Resources Get ConnecttED ✔ 0206.1.15 Focus on Math Background Get ConnecttED Explore Worksheet Leveled Worksheets Lesson Animations VVisual Vocabulary Cards Lesson Animations Whether customary or metric measure, students need to be able to recognize the most appropriate unit of measure for the quantity to be measured. Although it is possible to use a cup to measure the capacity of a swimming pool, it is not practical. It should also be noted that capacity is also referred to as liquid volume. The most important concept then for this multi-part lesson is “relative size.” Daily Transparencies Problem of the Day Self-Check Quiz Hands-On Activity Tools and Resources Blended Approach IWB All digital assets are Interactive Whiteboard ready. Suggested Pacing Multi-Part Lessons PART Days 485a Measure Capacity and Weight large bucket, different sized containers, rice, beans, index cards, measuring cup 1 A B (5 Days) 2 C D A B 2 Assess C 1 * * * Asterisks (*) denote lessons that are optional. 2 Capacity PART PART C Metric Units of Capacity (pp. 491–492) Problem-Solving Strategy Act It Out Measure using metric units of capacity. Notes D Title/Objective (pp. 493–494) Use the act it out strategy to solve problems. Standards liter (L), milliliter (mL) liquid containers, 1,000 milliliter graduated cylinder, index cards, resealable bags of rice, large bucket, large spoon, liter bottle, milliliter dropper Get ConnecttED Vocabulary 16 oz plastic cup, 1 cup measuring cup Get ConnecttED Leveled Worksheets Leveled Worksheets Lesson Animations Lesson Animations Daily Transparencies Daily Transparencies Problem of the Day Problem of the Day Self-Check Quiz RWPS: Fossils Over Time Graphic Novel Animation Materials/ Manipulatives Resources ✔ 0206.1.15 Hands-On Activity Tools and Resources RWPS: The Lemonade Stand Hands-On Activity Tools and Resources Blended Approach Mid-Chapter Mid Chapter Check (p (p. 495) Spiral i l Review i (p. 496) Measure Capacity and Weight 485b Differentiated Instruction Approaching Level On Level AL Option 1 Use with 1B OL Option 1 Use with 1B Hands-On Activity Materials: crayons, markers Hands-On Activity Materials: index cards, markers, crayons • Have students work in small groups. • Have students work in small groups. • Have each group of students draw three containers and put them in order from the one that holds the least to the one that holds the most. For 1 example, a coffee cup, _2 gallon carton of milk, and a bathtub. • Have groups of students make a set of index cards with pictures of different containers that hold liquids. • Groups should switch card sets, discuss each card, and decide the best measure to use: cups or gallons. • Have groups exchange papers and tell if they agree with the picture. • Students should put the cards into two piles depending on the measure they would use. • Have both groups work together to make a new picture that shows all six containers in order from least to greatest capacity. Option 2 • Students may illustrate a bathtub, coffee pot, swimming pool, orange juice carton, etc. • Have groups share their cards and explain how they separated them. Use with 1D Hands-On Activity Materials: variety of measuring spoons, water Option 2 • Have pairs of students arrange the measuring spoons from least to greatest capacity. Hands-On Activity Materials: catalogs, newspapers, magazines, safety scissors, push pins, crayons or markers • Students estimate how many of the smallest unit it would take to fill the largest unit. • Have students cut out photos of containers from catalogs, newspapers, and magazines. • Have students act out their prediction by measuring water with the smallest unit and putting it into the largest unit. Other Options TE Learning Station Card 60 Get ConnectED Lesson Animations Use with 1C • Put the headings “Less than a Liter” and “More than a Liter” on a bulletin board. • Have students place the photos of containers under the correct heading. • Discuss students’ choices. Give students the opportunity to change the position of any photos. Other Options TE Learning Station Cards 56 and 59 Get ConnectED 485c Measure Capacity and Weight Lesson Animations Capacity Beyond Level English Language Learners BL Option 1 Use with 1B Hands-On Activity Materials: easel/chalkboard, blank paper • To help students understand customary conversions, provide them with the visual shown below. It shows there are 4 quarts per gallon (4 Qs inside the G), 2 pints per quart (for a total of 8 pints in a gallon), and 2 cups per pint (totaling 4 cups per quart and 16 cups per gallon). ELL This strategy helps English Learners learn and use the language required to discuss capacity. Find Core Vocabulary and Common Use Verbs in the online EL strategies to help students grasp the math skills; use Language Alerts at point of use in the Teacher Edition. Beginning Background Knowledge Relate measuring capacity to background knowledge. AL • Show a set of measuring cups, measuring spoons, empty milk gallon jug, and so on. Say, “These measure.” • Put water, rice, or sand in cups. Point to the measuring cups. Say, “Show me how to use them.” Students demonstrate. Vocalize actions as the students chorally repeat statements. OL Intermediate Scaffold Contrast measuring length versus capacity. Key: G = Gallon Q = Quart (4 quarts = 1 gallon) P = Pint ( 2 pints = 1 quart, 8 pints = 1 gallon) C = Cups (2 cups = 1 pint, 4 cups = 1 quart, 16 cups = 1 gallon) • Students keep a copy of this graphic organizer at their desks. Option 2 Use with 1C Hands-On Activity Materials: paper, pencil • Have students fold a piece of paper in half. In the first column, have them make a list of 5 things that could be measured with milliliters or liters. glass of juice liter water in a small cat or dog dish liter raindrop milliliter a tear milliliter full washing machine liter • Have students trade papers with a partner. Each partner will write in the second column whether each item on the list should be measured in milliliters or liters. Other Options Get ConnectED • Show a measuring cup and a ruler. Write, “A cup measures capacity. Rulers measure length.” Practice reading sentences chorally. • Sit with students in a circle. Show a cup. Say, “Capacity.” Repeat for a ruler and length (measuring spoon–capacity, a pencil–length, etc.). Hand items to the student to your right. That student repeats to build automaticity. All students speak and pass at the same time, without correction. BL Advanced Listen and Write React to questions about measuring. • Write questions like: What can you measure with a ruler? What can you measure with a cup? • Have pairs brainstorm as many answers as possible for each question, then write or orally present ideas. Extend Student groups measure capacity with a standard unit and record the number of units it takes to fill the bottle. Other groups use a different substance (flour, rice, marbles etc.) but the same unit of measure. Groups discuss why the results are not the same for each substance. Virtual Manipulatives Measure Capacity and Weight 485d Multi-Part Lesson 1 PART A B C PART A Multi-Part Lesson Name Capacity PART D A B 1 C D Capacity Capacity Objective Look at the units of capacity. Explore units of capacity. Resources Materials: measuring cup, pint container, quart container, gallon container cup A yogurt container is about 1 cup. Explore Worksheet Get ConnectED pint A can of vegetables is about 1 pint. quart A bottle of ketchup is about 1 quart. gallon A large jug of milk is 1 gallon. Find the capacity of each container. 1 INTRODUCE Introduce the Concept • Assess prior knowledge of measuring. Ask students to think of times they may have measured capacity, such as using a bucket in the sand. • Is there another time that you can think of when you were measuring capacity? See students’ responses. • Previously, when measuring length, students have used customary units including inches and centimeters. Point out that students are now going to learn about customary units of capacity. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Step 1 Use a measuring cup to fill a pint container. How many cups did it take to fill the container? 2 cups Step 2 Use a measuring cup to fill a quart container. How many cups did it take to fill the container? 4 cups Step 3 Use a measuring cup to fill a gallon container. How many cups did it take to fill the container? 16 cups Which container has the greatest capacity? Circle it. cup Teach the Concept Activity • Using a measuring cup, fill a pint container, a quart container, and then a gallon container. • Keep each container filled, including the measuring cup. • Discuss the differences among each filled container. • What do you notice about the gallon container compared to the cup measure? The gallon has a larger capacity. • If you were to fill a bathtub, which unit would you use? Why? A gallon, because it is the largest unit of measure. 485 Measure Capacity and Weight quart Measure Capacity and Weight 485_486_C12_L01_103028.indd 485 2 TEACH pint gallon four hundred eighty-five 485 3/12/10 10:03 AM About It About It 1. Name some containers from around your house or class that would be about the same size as Sample answer: a cup, pint, quart, and gallon. pudding cup, chip dip, juice, milk Assign the Think About It Exercise to assess student comprehension of capacity. and Apply It 3 PRACTICE Compare. Use >, <, or =. 2. cup < gallon 3. cup < pint 4. cup = cup Use the Practice and Apply It Exercises to assess students’ comprehension of what unit is a better measure. Circle the better unit of measure. 5–8. Sample answers given. 5. For more practice of the concepts presented in this Explore lesson, see Explore Worksheet. 6. cup pint quart gallon 7. cup pint quart 4 REFLECT AND CLARIFY gallon Formative Assessment 8. pint quart gallon cup pint quart gallon 9. Mia was filling a small sink with a gallon jug of water. The sink overflowed. Why did the sink overflow? Sample answer: The sink overflowed because Mia used a unit of measure that was too big for the job. 10. E Write Math If you do not have a gallon measure to use, what would be the next best unit of measure? Why? • Why do you need to understand and know about capacity? Sample answer: Capacity is important because if you need to fill something up, you will understand the amount it will take to fill it as well as which unit to use. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. cup • What does capacity mean to you? See students’ explanations. E WRITE MATH Assign the Write Math Exercise to check comprehension of customary units of capacity. Sample answer: A quart, because it is a larger measure than pints or cups. 486 four hundred eighty-six 485_486_C12_L01_103028.indd 486 Measure Capacity and Weight 3/12/10 10:03 AM Measure Capacity and Weight 486 Multi-Part Lesson 1 A PART PART B B C Multi-Part Lesson Name Capacity D PART A B 1 C D Customary Units of Capacity C Customary Units of Capacity Get Ready Main Idea I will measure using the customary units of capacity. Objective The amount a container can hold is its capacity . The customary units of measure for capacity are the cup (c) , pint (pt) , quart (qt) , and gallon (gal) . Vocabulary capacity cup (c) pint (pt) quart (qt) gallon (gal) Measure using customary units of capacity. Vocabulary capacity, cup (c), pint (pt), quart (qt), gallon (gal) You can measure capacity using gallons, quarts, pints, or cups. Resources Materials: large bucket, different-sized containers, rice, beans, index cards, measuring cup You can show the unit of measure using the abbreviation of the word: cup (c), pint (pt), quart (qt), and gallon (gal). Leveled Worksheets 1 INTRODUCE Activity Choice 1: Hands-On • Invite students to share what they know about capacity. Remind students that measuring capacity is finding out how much dry material or liquid a container will hold. • What are some customary units of measure that you use when measuring capacity? cups, pints, quarts, gallons • When do you use these different units of capacity? Accept reasonable answers. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Get ConnectED C Check 1–3. Sample answers given. 4. Sample answer: Choose the best unit that will be close to a correct measurement. Circle the better unit to measure each capacity. 1. cup pint quart gallon 2. 3. cup pint quart gallon c pt qt 4. E Talk Math How do you decide which capacity unit to use? Measure Capacity and Weight four hundred eighty-seven 487_490_C12_L01_103028.indd 487 Building Math Vocabulary • Set up stations where students can estimate the number of cups that various containers can hold (half-pint milk carton, baby bottle, coffee mug, plastic drink cup). • Introduce definitions using measuring cups and filling containers such as the following with water: an 8 ounce paper cup, a pint of ice cream, a quart of milk, and a gallon of milk. • Each station should include a question card asking students to predict how many cups of beans or rice each container can hold. Students should record their prediction and then measure each container to see how accurately they estimated. • Pour 1 cup of water into the 8 oz. cup. How many cups of water will fill the container of the pint of ice cream? 2 cups Pour 2 cups of water into the pint to show 1 pint equals 2 cups. • How many pints of water can fill the quart container? 2 pints • How many quarts of water can fill the gallon container? 4 quarts Visual Vocabulary Cards Use Visual Vocabulary Cards to reinforce the vocabulary in this lesson in English and Spanish. (The Define/Example/ Ask routine is printed on the back of each card.) 487 3/12/10 10:04 AM Activity Choice 2: Math Game 487 Measure Capacity and Weight gal ISBN: 978-0-02-101738-6 MHID: 0-02-101738-7 Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Practice 2 TEACH 5–12. Sample answers given. Circle the better unit to measure each capacity. 5. Scaffolding Questions 6. • Display a large bucket in front of the classroom. What could you use to measure the amount of water? a gallon jug About how much water does this hold? Sample answer: 5 gallons cup pint quart gallon 7. pint quart gallon • Why is it easier to use the larger units, like a gallon, to measure something that holds a lot of water? You don’t need as many larger units to fill up the container, so it is filled faster. 8. cup pint quart gallon 9. cup pint quart • Would you use a pint or a quart to measure the capacity of a water bottle? a quart Would you use a pint or a quart to measure how much water one person might drink at one sitting? pint gallon 10. pint quart gallon 11. • Which holds more, three cups or three quarts? three quarts c pt qt gal 12. c pt qt gal c pt qt Get Ready Use the Get Ready section at the top of the page to teach the lesson concept. Guide students in choosing the best measure of capacity. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. cup 488 cup • List answers on the board. Students can help to fill the container with cups, pints, quarts, or gallons. Check Observe students as you work through the Check Exercises as a class. E TALK MATH Use the Talk Math Exercise to assess student comprehension before assigning the practice exercises. gal • Have students work in groups to take pictures of different containers using a digital camera. four hundred eighty-eight 487_490_C12_L01_103028.indd 488 ELL Activating Prior Knowledge: Capacity Vocabulary Students may need help connecting the English names for known items (a gallon of milk, cup of water, etc.). Show samples of real items to scaffold meaning. 3/12/10 10:04 AM • Display these pictures on an Interactive WhiteBoard. • Label four columns as cup, pint, quart, and gallon. Ask student volunteers to move the pictures on the Interactive WhiteBoard into the column that displays the unit they would use to measure each container. Measure Capacity and Weight 488 AL Alternate Teaching Strategy If AL Circle the better unit to measure each capacity. students are having trouble measuring using customary units of capacity . . . Then 1 Name 13. use one of these reteach options: Reteach Worksheet 2 Match Cups, Pints, Quarts, and Gallons Give each student four index cards. cup • Assign students to draw four objects that would be filled using cups, pints, quarts, or gallons. Collect all cards, mix, and place facedown. Assignment AL Approaching Level Guide students through the exercises. Help them use measuring containers to check their answers. OL On Level Complete the exercises independently with measuring containers. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Level gallon cup pint quart gallon Estimate Measure about 8 quarts about 40 quarts 8 quarts 40 quarts about 1 gallon about 2 gallons 1 gallon 2 gallon about 1 cup about 6 cups 1 cup 6 cups about 6 pints about 4 pints 6 pints 4 pints about 1 cup about 3 cups 1 cup 3 cups 15. 16. Differentiate practice using these suggestions. Beyond Level quart Container 3 PRACTICE Practice pint Find the container. Circle the better estimate. Measure. Circle the closer measure. • Have students take turns picking up two cards. If both cards show objects filled with the same unit, they keep the cards. Continue until all cards are used. BL 14. 13, 14. Sample answers given. 17. 18. 19. Complete the exercises independently without measuring containers. Measure Capacity and Weight four hundred eighty-nine 489 Homework Practice Worksheet Problem-Solving Practice Worksheet 487_490_C12_L01_103028.indd 489 489 Measure Capacity and Weight 3/12/10 10:05 AM 4 ASSESS Solve. 20. Scott has 6 glasses and a pitcher of juice. Each glass holds 1 cup. The pitcher holds 8 cups of juice. Will Scott be able to fill the 6 cups? Formative Assessment Brandon is making a glass of chocolate milk for himself and a friend. Should he use 1 pint or 1 gallon of milk? 1 pint; 1 gallon is too much yes E WRITE MATH Name an item that you would find at the grocery store that is equal to a pint and one item that is equal to a quart. Sample answers: A can of vegetables is about 1 pint. A ketchup bottle is about 1 quart. How do you know? Sample answer: If there are only 6 cups and the pitcher has 8 cups in it, then there will be enough juice because 8 is more than 6. 21. Hoshi is making a mug of hot chocolate. Should he use one cup or one quart of milk? Explain. ELL Word List Remind students of words to use in their writing. 1 cup; Sample answer: 1 quart is too much milk. 22. ? 2 4 6 cups 23. E Write Math Explain how you could find the number of cups in a gallon. Sample answer: You could pour cups of water into a gallon Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. BAR DIAGRAM Heath put two cups of water in a container. He put one quart of water in another container. He pours both containers into one container. How many cups of water are in the container? container and count the number of cups. 490 four hundred ninety Math at Home Activity: Use a cup measure. Have your child fill different containers and count the number of cups used for each. 487_490_C12_L01_103028.indd 490 ! 3/12/10 10:05 AM COMMON ERROR! Students may have trouble understanding and remembering equivalent units of measurement. Have a chart available for reference: 2 cups = 1 pint, 2 pints = 1 quart, 4 quarts = 1 gallon. W When students line up, give each an example of a container you need to fill and ask whether they would fill it with cups, pints, quarts, or gallons. Are students continuing to struggle with customary units of capacity? During Small Group Instruction If Yes AL AL AL If No OL BL OL BL Daily Transparencies Differentiated Instruction Option 1 (p. 485c) Strategic Intervention Guide (pp. T98–T99) Differentiated Instruction Option 1 (p. 485c) Differentiated Instruction Option 1 (p. 485d) Skills Practice Worksheet Enrich Worksheet Measure Capacity and Weight 490 Multi-Part Lesson 1 A PART PART C B C Multi-Part Lesson Name Capacity D I will measure using the metric units of capacity. Vocabulary liter (L) milliliter (mL) Vocabulary liter (L), milliliter (mL) Materials: liquid containers, 1,000 milliliter graduated cylinder, index cards, resealable bags of rice, large bucket, large spoon, liter bottle, milliliter dropper Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Activity Choice 1: Hands-On Have students work in pairs. Give each group four containers, a resealable bag of rice, and a 1,000 milliliter graduated cylinder. Have students measure whether the amount each container holds is about a liter, more than a liter, or less than a liter. 491 Measure Capacity and Weight This dropper can hold 1 milliliter of liquid. 2. 1. 1 INTRODUCE • Have students estimate how many liters the bucket will hold, and then fill the bucket, counting the liters. Discuss their estimates. Repeat the activity using milliliters, a spoon and a dropper. Ask, Is this logical? See student response This bottle can hold 1 liter of liquid. 4. Sample answer: It holds more than 1 liter because I can empty more than one water bottle into the sink. 1–3. Sample Circle the better unit to measure each capacity. answers given. Get ConnectED • If I want to fill this spoon with water, should I use the liter bottle or the dropper? dropper Why? Sample answer: The liter bottle holds a lot more water, and it would be very difficult to pour a little water into the spoon. D C Check Leveled Worksheets Display a large bucket, large spoon, liter bottle, and milliliter dropper. If I want to fill this bucket with water, should I use the liter bottle or the dropper? liter bottle Why? Sample answer: The liter bottle holds a lot more water, so it will take less time. C You can show the metric unit of measure using the abbreviation of the word: liter (L) and milliliter (mL). Resources Scaffolding Questions 1 There is another way to measure capacity. You can use metric units of measure for capacity, which are liter (L) and milliliter (mL) . Main Idea Measure using the metric units of capacity. 2 TEACH B Get Ready Objective Ask students to brainstorm a scenario in which knowledge of milliliters and liters would be necessary to solve. As a class, write down a problem and solve it at the end of the lesson. A Metric Units of Capacity M Metric Units of Capacity Activity Choice 2: Writing PART milliliter liter 3. milliliter liter mL L 4. E Talk Math Does a bathroom sink hold more or less than one liter? How do you know? Measure Capacity and Weight four hundred ninety-one 491 491_492_C12_L01_103028.indd 491 3/12/10 10:06 AM Use the Get Ready section at the top of the page to teach the lesson concept. Help students estimate and measure capacity. Get Ready Check Observe students as you work through the Check Exercises as a class. E TALK MATH Use the Talk Math Exercise to assess student comprehension before assigning the practice exercises. Building Math Vocabulary • A liter is a metric unit of measure for finding how much something can hold. Display a liter container filled with water. Draw a cube on the board. Explain that if we filled the cube with water, it would take 1,000 of them to fill the container. • Explain that the amount of water that would fill each cube is called a milliliter. There are 1,000 milliliters in 1 liter, and milli means one-thousandth. Alternate Teaching Strategy AL Practice Find the container. Circle the better estimate. Measure. Circle the closer measure. Container 5. 6. 7. 8. If students have trouble understanding liters and milliliters . . . Estimate Measure about 1 liter about 1 milliliter 1 liter 1 milliliter about 1 liter about 1 milliliter 1 liter 1 milliliter 2 Liter Race Give each group a small bucket of water and a plastic container. The containers should be all the same size. about 1 liter about 1 milliliter 1 liter 1 milliliter • Have students fill the container with water. Have liter measures available such as 1- and 2-liter plastic bottles and graduated cylinders. about 1 liter about 1 milliliter 1 liter 1 milliliter Then 1 AL use one of these reteach options: Reteach Worksheet • Compare the amount of water measured by all groups. Use a graduated cylinder to check groups’ measurements. Use the information to solve the problems. The Lemonade Stand 3 PRACTICE My mom said this is equal to 2 liters. 9. Each of the 5 pitchers holds The red pitcher holds They need 1 + liters of lemonade. 1 liter. 2 liters. 1 + 1 Does the red pitcher hold enough? 492 four hundred ninety-two + 1 + 1 = 5 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Well, we know that one of our pitchers is equal to 1 liter. Remember, we are trying to fill 5 pitchers of lemonade for our stand. Practice no Differentiate practice using these suggestions. Level Assignment AL Approaching Level Guide students through the exercises. Help them use measuring containers to check their answers. OL On Level Complete independently with measuring containers. BL Beyond Level Complete exercises without the measuring containers. Math at Home Activity: At the store, look around for products that show liters and milliliters. Discuss the different items you find. 491_492_C12_L01_103028.indd 492 3/12/10 10:06 AM Animated Graphic Novel Rewatch “The Lemonade Stand.” 4 ASSESS Formative Assessment What is the difference between a liter and milliliter? Sample answer: a liter container holds more liquid than a milliliter container. E WRITE MATH Have students write about when they would measure using milliliters and when they would use liters. Are students continuing to struggle with measuring liters and milliliters? E TALK MATH What do you need to know about metric units of capacity to solve the graphic novel? See students’ responses. During Small Group Instruction If Yes AL If No OL AL W When students line up for recess, lunch, or dismissal, name a type of container (gallon milk carton) and have students tell you if they would measure the liquid inside using milliliters or liters. BL OL BL Daily Transparencies Strategic Intervention Guide (pp. T98–T99) Differentiated Instruction Option 2 (p. 285c) Differentiated Instruction Option 2 (p. 285d) Skills Practice Worksheet Enrich Worksheet Measure Capacity and Weight 492 Multi-Part Lesson 1 A PART PART D X Multi-Part Lesson Capacity B C PART A B 1 C D Name D Problem-Solving Strategy: Act It Out Act It Out Main Idea Objective I will act out a problem to solve it. Use the act it out strategy to solve problems. Resources Randy has a container of milk. Joyce has a container of milk. Both think they have more milk. Who is correct? Materials: 16 oz plastic cup, 1 cup measuring cup Leveled Worksheets What do I know? Underline what you know. What do I need to find? Circle the question. Get ConnectED Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. How will I solve the problem? I will act it out to solve. 1 INTRODUCE Activity Choice 1: Review Write and read aloud the following: Jeremy wants to fill his five-gallon bucket with feed for the cows. Which container would scoop out the feed the fastest? Show a 16-oz drinking glass and a one-cup measuring unit. • What strategy could we use to solve this problem? act it out Is my answer reasonable? How do I know? See students’ explanations. • What measuring unit do you think Jeremy should use? a drinking glass, because it is larger Activity Choice 2: RWPS Reader Read Fossils Over Time together as a class. Have students make a list of everything they know about dinosaurs. 2 TEACH Have students read the problem about milk. Guide them through the problem-solving steps. Understand Using the questions, review what students know and need to find. Plan Have them discuss their strategy. 493 Measure Capacity and Weight Act it out. Use a cup measure to fill a liter container and then a gallon container. Which holds more? The liter of milk is about 4 cups. The gallon of milk is 16 cups. The gallon holds more. Randy is correct. Measure Weight and Capacity four hundred ninety-three 493_494_C12_L01_103028.indd 493 AL Alternate Teaching Strategy If Then 1 AL students have trouble acting it out . . . use one of these reteach options: Reteach Worksheet 2 Show a Model Show a 16-ounce clear plastic cup to the class. Then show a 1-cup measuring unit. Which is greater, the capacity of this plastic cup or the capacity of two 1-cup measures? • Have students predict which will hold more. • Demonstrate with water that 2 cups is equal to the capacity of the plastic cup. 493 3/12/10 10:07 AM Remember Solve Guide students to act it out to solve the problem: • What do we need to know to solve the problem? Does Randy or Joyce have more milk? Act it out to solve. 1. Pedro is getting a glass from the cupboard. He is thirsty and wants the bigger glass to drink from. There is a glass that holds a pint and a glass that holds a cup. Which one should Pedro choose? • Set up the experiment with 1 gallon of water and 1 liter of water. Explain that students will use cups to compare the capacities of the two containers. • Who has the most milk? See students’ work. Randy has the most milk. pint Check Have students look back at the problem to make sure that the answers fit the facts given. 2. Adam has a gallon jug. Jade has a cup. Adam measures out 2 gallons of water. How many cups will Jade need to equal 2 gallons? As a class, complete the Try It Exercises. 16 + 16 = 32 cups 3 PRACTICE Your Turn milliliter 4. How many cups will it take to fill a cereal bowl if a cereal bowl can hold 2 pints? Exercises 3, 4 Be sure that students can read and understand the problems. If necessary, get the students started with the first step. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Act it out to solve. 3. Rena can choose a milliliter or a liter to feed her hamster water. Which unit would be the better choice? Homework Practice Worksheet 4 ASSESS Formative Assessment How did you solve Exercise 3? Sample answer: I filled a milliliter dropper and a liter container with water to see which unit would be better for the hamster. 4 cups 494 four hundred ninety-four Math at Home Activity: Have your child identify containers around the house that have about the same capacity as a gallon and then a liter. 493_494_C12_L01_103028.indd 494 ! 3/12/10 10:07 AM COMMON ERROR! Students may not know how to compare capacities. Make sure to tell the students when comparing capacities, they must use the same unit to measure both items. Are students continuing to struggle with the Act It Out Problem-Solving Strategy? During Small Group Instruction If Yes AL AL W When students line up for recess, lunch, or dismissal, discuss the problem-solving strategy act it out: If No OL BL Daily Transparencies Differentiated Instruction Option 2 (p. 485c) Skills Practice Worksheet Enrich Worksheet • Hold up a 1-cup measuring cup and a pint. How many cups of water do you think it will take to fill the pint? • Have students write their estimates on the board as they line up. Act out the problem to find out how many measuring cups fill the pint. Multi-Part Lesson 1 What are some things you learned about capacity in this multi-part lesson? Sample answers: You measure capacity using either customary (cups, pints, quarts, and gallons) or metric (milliliters and liters) units of measure. Measure Capacity and Weight 494 Mid-Chapter Check Mid-Chapter Check Name Circle the better unit to measure each capacity. 1–4. Sample answers 1. Formative Assessment given. 2. Use the Mid-Chapter Check to assess students’ progress in the first half of the chapter. Customize and create multiple versions of your Mid-Chapter Check and their answer keys. cup Dinah Zike’s Foldables® pint quart gallon cup pint quart gallon Circle the better unit to measure each metric capacity. Use these lesson suggestions to incorporate the Foldable during the chapter. 3. 4. Lesson 1B Guide students to record what they have learned about customary units of capacity. Lesson 1C Guide students to record what they have learned about metric units of capacity. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. milliliter liter milliliter liter 5. Marta wants to fill her small pool. She looks in the garage and finds a gallon bucket and a quart container. Which unit of measure would be the better choice? gallon bucket How do you know? Sample answer: The gallon would be better because it holds more water. Measure Capacity and Weight four hundred ninety-five 495_496_C12_MC_103028.indd 495 3/12/10 10:08 AM Data-Driven Decision Making Based on the results of the Mid-Chapter Check, use the following resources to review concepts that continue to give students problems. Exercises 1, 2 Tennessee Standards GLE 0206.1.5 What’s the Math? Measure capacity using cups, pints, quarts, and gallons. Error Analysis Does not understand capacity. Does not understand the relationship between cups, pints, quarts, and gallons. 3, 4 GLE 0206.1.5 Measure capacity using milliliters and liters. Does not understand capacity. Does not understand the relationship between milliliter and liter. 5 GLE 0206.1.2 Choose the appropriate unit of measure. Does not pick the correct unit of measure. 495 Measure Capacity and Weight 495 Resources for Review Chapter Resource Masters Get ConnectED Lesson Animations • Self-Check Quiz Break apart a number to subtract. 6. 75 - 32 30 7. 95 - 55 2 50 8. 31 - 11 5 10 1 75 - 30 = 45 95 - 50 = 45 31 - 10 = 21 45 - 45 - 21 - 2 = 43 5 Count to find the value of the coins. 9. 25 ¢ = 40 1 Objective Use the Spiral Review to review and assess mastery of skills and concepts. = 20 10. 100 ¢ Write the numbers from greatest to least. 11. 534, 126, 312 12. 631, 802, 613 802 , 631 , 613 Write the numbers from least to greatest. 13. 227, 200, 270 14. 905, 582, 542 200 , 227 , 270 542 , 582 , 905 15. Terrell starts cleaning his room at 4:30. He finishes at 5:00. How long does it take Terrell to clean his room? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 534 , 312 , 126 half hour 496 four hundred ninety-six 495_496_C12_MC_103028.indd 496 Measure Capacity and Weight 3/12/10 10:08 AM Measure Capacity and Weight 496 Multi-Part Lesson 2 Weight and Mass Planner PART A Customary Units of Weight B Metric Units of Mass C Problem-Solving Investigation: Choose a Strategy E Essential Question PART Customary Units of Weight Title/Objective Standards Vocabulary Materials/ Manipulatives Although weight and mass are not measures of the same attribute, for most common measurement, and certainly for work at this level, they are treated as such. As in the previous lessons on measurement, relative size plays an important role here. Whether ounces and pounds or grams and kilograms, the goal is to recognize which is the most appropriate measure. Metric Units of Mass Measure the mass of objects using grams and kilograms. GLE 0206.1.5 GLE 0206.1.5 weight, ounce (oz), ppound weig ound (lb) mass, gram g (g), g kilogram g (kg) g Visual Vocabulary Cards 43, 49 and 73 Visual Vocabulary Cards 24 and 33 pound and ounce weights, objects to weigh, bucket balance objects to weigh, index cards, bags Resources Get ConnecttED ✔ 0206.1.15 Get ConnecttED Leveled Worksheets Leveled Worksheets VVisual isual Vocabulary Cards VVisual isual Vocabulary Cards Lesson Animations Lesson Animations Daily Transparencies Daily Transparencies Problem of the Day Problem of the Day Self-Check Quiz Self-Check Quiz EExtra t P Practice ti ((p. 499) Game Time G Tip the Scale (p. 500) All digital assets are Interactive Whiteboard ready. Suggested Pacing Multi-Part Lessons PART Days 497a Measure Capacity and Weight (pp. 501–502) Measure the weight of objects using ounces and pounds. Blended Approach IWB B (pp. 497–498) What does the phrase “tip the scale” mean to you? See students’ responses. Accept all reasonable answers. Focus on Math Background PART A 1 A B (5 Days) 2 C D A B 2 Assess C 1 * * * Asterisks (*) denote lessons that are optional. 2 Weight and Mass PART Notes C Problem-Solving Investigation: Choose a Strategy Title/Objective (pp. 503–504) Choose the best strategy to solve a problem. GLE 0206.1.2 Standards Vocabulary Materials/ Manipulatives Get ConnecttED Leveled Worksheets Resources ✔ 0206.1.15 Blended Approach P bl SSolving Problem l i iin Social S i l Studies St di Traveling Food (p. 505–506) Chapter Review/Test (pp. 507–508) Test Practice (pp. 509–510) Measure Capacity and Weight 497b Differentiated Instruction Approaching Level On Level AL Option 1 Use with 2C OL Option 1 Use with 2B Hands-On Activity Materials: two-color counters Hands-On Activity Materials: geometric solids, aluminum foil, unit cubes • Write the following problem on the board: There were 9 pancakes on a tray. Steve took three pancakes. His sister Mari took half of the pancakes that were left on the plate. Finally, Ray took the remaining pancakes except one. How many pancakes did Ray take? 2 • Students find the volume of a cone and a cylinder. • Divide the class into small groups. Have students visualize the actions in the problem. Is there a take-away? a put together? a comparison? • Discuss possible ways to solve the problem such as using counters, drawing a picture, and writing a number sentence. Ask each group to volunteer a strategy. • Students wrap a geometric solid in aluminum foil. Making sure they are careful to keep the shape, have students remove the solid from the foil. • Fill the foil shape with unit cubes to find the volume of each shape. Have students state whether this is an actual answer or an estimate. They should write a few sentences to explain their reasoning. Estimate; cubes will not fit exactly into a curved space. • Model the different strategies with the students to arrive at a solution. Option 2 Use with 2C Hands-On Activity • Write the following problem on the board: Emily walked the dog for her neighbor on Monday, Tuesday, and Wednesday. She earned $3 each time. How much did she earn in all? $9 Option 2 Use with 2A Hands-On Activity Materials: magazines, safety scissors • Have each student cut out pictures of four objects that should be weighed in pounds. Then have them cut out pictures of four objects that should be weighed in ounces. • After the pictures are cut out, mix them up. • Have all students come together in a circle with their pictures and make a “pound” group and an “ounce” group. • Have students try to agree on which group each item should go into. Then discuss their choices as a class. • Have pairs of students choose at least two strategies to solve the problem. Then have them each take a strategy and solve the problem using that strategy. Students may make a chart or write a number sentence. • Have students compare their work and explain their strategy to each other. Other Options Get ConnectED Other Options Get ConnectED Virtual Manipulatives, Lesson Animations 497c Measure Capacity and Weight Virtual Manipulatives, Lesson Animations Weight and Mass Beyond Level English Language Learners BL Option 1 Use with 2B Hands-On Activity Materials: a variety of objects, bucket balance, box of medium paper clips • Show students a paper clip. Explain that its mass equals one gram. • Have students measure the other objects in grams. They should place as many paper clips on one side of the balance as is needed to balance the object on the other side. • Have students try to find two objects that have the same mass and will balance the scale. • Explain that 1,000 grams equals one kilogram. • Then have students make a list of five objects that would best be measured in kilograms and five objects that would best be measured in grams. Tell students they cannot list any objects already used in this activity. ELL This strategy helps English Learners learn and use the language required to discuss weight and mass. Find Core Vocabulary and Common Use Verbs in the online EL strategies to help students grasp the math skills; use Language Alerts at point of use in the Teacher Edition. AL Beginning Word Meaning Contrast homonyms weigh/s and way/s. • Write weigh. Model balancing an imaginary object in your hands. Say and write, “Weigh.” Repeat for way (walk a path to the door). Say, “The way to the door is .” • Say, “Listen again. Weigh and way sound the same, but they have different meanings.” Point and say the words. Students repeat. Repeat, stressing the /s/ for third-person verbs. Intermediate Scaffold Contrast homonyms weight/ed and wait/ed. OL • Model and write, “The weight of (a thing) is (greater than, less than, equal to) to the weight of (another thing). They are weighted equally/unequally.” • Continue with wait. Write, “How long did you wait in line?” I waited 5 minutes.” Stress the –ed ending as indicating past tense. Option 2 Use with 2A Hands-On Activity Materials: Virtual Manipulatives • Use the bucket balance with the weights to demonstrate weight to students. You can refer to the weights as anything from grams, ounces, pounds, or kilograms. • Demonstrate how different combinations can equal the same weight. • When would this be beneficial to know? Other Options Get ConnectED Lesson Animations • Have students write homonyms weight/ed and wait/ed on each side of 2 cards. Say other sentences/questions as students show the correct term. BL Advanced Listen and Identify Compare meanings of mass. • Write and model mass. Say, “This is a math word. What other meanings are there for mass?” • Have students brainstorm meanings of mass and use the meanings to write, ask and answer questions that show comprehension of the usage. Share sentences with the group. Extend Show several products that list weight on the packaging. Have partners find matching weights. Allow partners to peer scaffold language so that pairs can explain the differences in container size to the group. Measure Capacity and Weight 497d Multi-Partt Lesson 2 A PART PART A B Multi-Part Lesson Name Weight and Mass C PART A 2 B C Customary Units of Weight C Customary Units of Weight Get Ready Main Idea I will measure the weight of objects using ounces and pounds. Objective Measure the weight of objects using ounces and pounds. You can measure weight in ounces and pounds . Weight tells us how heavy something is. A golf ball weighs about 1 ounce or 1 oz. Vocabulary weight ounce (oz) pound (lb) Vocabulary weight, ounce (oz), pound (lb) Resources A soccer ball weighs about 1 pound or 1 lb. Materials: pound and ounce weights, objects to weigh Manipulatives: bucket balance Leveled Worksheets Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Get ConnectED GLE 0206.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. Checks for Understanding ✔ 0206.1.7 1 INTRODUCE Activity Choice 1: Hands-On Show students a 1-ounce snack bag of fruit chips. Use a balance to show that it weighs 1 ounce. Give each group of students 10 items to estimate in ounces. Have them use the balance and ounce weights to check their predictions. C Check 4. Sample answer: 1 soccer ball weighs more, because 3 golf balls only weigh 3 ounces. A soccer ball weighs 1 pound. Circle the better unit to measure the weight of each object. 2. 3. 1. ounce pound ounce pound oz lb 4. E Talk Math Which weighs more, 3 golf balls or 1 soccer ball? Explain. GLE 0206.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. Measure Capacity and Weight four hundred ninety-seven 497 Activity Choice 2: Writing Give students a list of animals such as a dog, salamander, cat, butterfly, and rabbit. Have students choose one of the animals and write why it would be weighed using either ounces or pounds. 497_498_C12_L02_103028.indd 497 Get Ready Scaffolding Questions • Provide each group with five different objects. Tell students to predict whether each object is less than a pound, equal to a pound, or more than a pound. • Have students use a bucket balance with a one-pound weight on one side to check their predictions. Suppose the object weighs exactly one pound (lb). What will be the position of the balance? Both sides will be equal or the same. • If the object weighs more than a pound, what will be the position of the balance? The side with the object will be lower than the other side. What will be the position of the balance if the object weighs less than a pound? The side with the object will be higher than the other side. 497 Measure Capacity and Weight Use the Get Ready section at the top of the page to teach the lesson concept. Check 2 TEACH 3/12/10 10:08 AM Observe students as you work through the Check Exercises as a class. E TALK MATH Use the Talk Math Exercise to assess student comprehension before assigning the practice exercises. Building Math Vocabulary • Tell students that an ounce and pound are customary units for measuring weight. Explain that one pound equals 16 ounces. Show students a 1-pound loaf of bread. This loaf of bread weighs one pound. How many ounces does it weigh? 16 ounces • What are some things you would weigh in pounds? Sample answers: myself, a bag of apples, my bike • What are some things you would weigh in ounces? Sample answers: one apple, a small book, a board eraser Practice Alternate Teaching Strategy AL Find the item. Circle the better estimate. Measure. Circle the closer measure. Item If Estimate Measure about 1 pound about 1 ounce 1 pound 1 ounce about 1 pound about 1 ounce 1 pound 1 ounce 7. about 1 pound about 1 ounce 1 pound 1 ounce 8. about 1 pound about 1 ounce 1 pound 1 ounce about 1 pound about 1 ounce 1 pound 1 ounce 5. 6. 9. 10. A green sea turtle lays 95 eggs. ggs. If all 95 eggs hatch, how much uch will the hatchlings weigh in all? 95 498 Then 1 Practice Fun Facts F • A sea turtle cannot retract its limbs, head or neck under its shell like a land turtle. Differentiate practice using these suggestions. Level Assignment AL Approaching Level Guide students through the exercises. Help them measure to check their answers. OL On Level Complete independently by measuring. BL Beyond Level Complete exercises without measuring. Homework Practice Worksheet Problem-Solving Practice Worksheet 4 ASSESS Math at Home Activity: Collect four items from around the house. Ask your child to put them in order by weight. 497_498_C12_L02_103028.indd 498 Reteach Worksheet 3 PRACTICE ounces four hundred ninety-eight AL use one of these reteach options: 2 Pound Race Have students use the balance with a 1-pound weight on one side to find combinations of different items that equal one pound. Share the data on a class chart. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. If you look closely, you might find nd a green sea turtle nest on the beaches of Hawaii. Female adult lt green sea turtles weigh about 300 pounds. Each hatchling weighs about 1 ounce. students have trouble understanding ounces and pounds . . . Formative Assessment 3/12/10 10:09 AM What is the difference between an ounce and pound? Sample answers: 16 ounces equal one pound, ounces are used to weigh lighter objects. E WRITE MATH Have students write about how they used a bucket balance to weigh objects. • All eight species of sea turtles are listed as either endangered or threatened. ! COMMON ERROR! Students may have trouble understanding and remembering the equivalent units of measurement. Have a chart with pictures to refer to. Be sure to include abbreviations. Are students continuing to struggle with using ounces and pounds? During Small Group Instruction If Yes AL AL W When students line up for recess, lunch or dismissal, name an object and have students tell you if they would weigh it in ounces or pounds. AL If No OL BL Daily Transparencies Differentiated Instruction Option 1 (p. 497c) Strategic Inter vention Guide (pp. T100-T101) Skills Practice Worksheet Enrich Worksheet Measure Capacity and Weight 498 Extra Practice Extra Practice Name Review Lessons 1A to 2A Decide which unit of measure would be better to use to find the weight. For ounces, color the square blue. For pounds, color the square yellow. 1–12. Sample answers given. Objective: Review and assess mastery of previous lesson skills and concepts. • Review the weights of ounces and pounds with students. • Make sure students colored the objects measured in ounces blue and the objects measured in pounds yellow. Practice with Technology 1. blue 2. 4. blue 5. blue 6. 8. yellow 9. 11. yellow 12. yellow 3. blue Get ConnectED Find additional practice with online activities, games and quizzes. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. For extra practice of basic facts the students have learned, see Fast Facts Practice. 7. blue 10. blue Measure Capacity and Weight 499_C12_EP_103028.indd 499 499 Measure Capacity and Weight yellow yellow blue four hundred ninety-nine 499 3/12/10 10:09 AM Tip the Scale Weight You Will Need 15 1 4 5 15 Play with a partner. Take turns. Put your game pieces on Start. Roll the number cube and move your game piece. If the weight of the object is better measured in ounces, take 1 base-ten cube. If the weight of the object is better measured in pounds, take 1 connecting cube. Have your partner check your work. Play until both players reach Finish. Each player puts their base-ten and connecting cubes into one side of the balance scale. The person that tips the balance scale down wins! Tip the Scale Weight Materials: game pieces Manipulatives: number cube, 15 base-ten units, 15 connecting cubes, bucket balance Introduce the game to students to play as a class, in small groups, or at a learning station to review concepts introduced in this chapter. You may wish to use the available Game Board to play the game. Instructions • Have students play with a partner. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. • Put the game pieces on Start. • One player rolls the number cube and moves the game piece the appropriate number of spaces. • The same player takes a base-ten unit if the object he or she lands on is better measured in ounces or a connecting cube if the object is better measured in pounds. • The partner checks to make sure the answer is correct. • Play continues until both players reach Finish. • Each player puts his or her base-ten units and connecting cubes into one side of the bucket balance. 500 five hundred • The player that tips the balance down wins! Measure Capacity and Weight 500_C12_GT_103028.indd 500 3/12/10 10:10 AM Differentiated Practice Extend the Game Use these leveled suggestions to differentiate the game for all learners. • Have students cut out pictures of different objects from magazines. Tape the pictures on top of the old pictures, and play the game again. Level Assignment BL AL Approaching Level Have students play the game with the rules as written. • Have students estimate how much each object weighs in ounces or pounds. OL On Level Have students explain why they would use ounces or pounds as the unit of measure. • For another game focusing on the same mathematical concept, see Game Time. Measure Capacity and Weight 500 Multi-Partt Lesson 2 A PART B C PART A B 2 C Metric Units of Mass M PART B Multi-Part Lesson Name Weight and Mass Get Ready Metric Units of Mass Main Idea I will measure the mass of objects using grams and kilograms. Objective Measure the mass of objects using grams and kilograms. Vocabulary mass gram (g) kilogram (kg) Vocabulary mass, gram (g), kilogram (kg) Mass is the amount of material in an object. You can use grams and kilograms to measure mass. A paper clip has the mass of 1 gram or 1 g. A baseball bat has a mass of 1 kilogram or 1 kg. Resources Materials: objects to weigh, index cards, bags C Check Leveled Worksheets Circle the better unit to measure the mass of each object. 2. 3. 1. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Get ConnectED GLE 0206.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. Checks for Understanding ✔ 0206.1.7 1 INTRODUCE Activity Choice 1: Hands-On • Have students work in small groups to find four objects that weigh about 1 kilogram. • If the object weighs 1 kilogram, students should place it in front of a “Kilogram” sign. If it is less than a kilogram, they should place it in front of a “Less than a Kilogram” sign. If the object is more than a kilogram, they should place it in front of a “More than a Kilogram” sign. Discuss each item. gram kilogram gram kilogram g kg 4. E Talk Math Which unit of mass would be best to measure a strawberry? a gram GLE 0206.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. Measure Capacity and Weight five hundred one 501 501_502_C12_L02_103028.indd 501 Activity Choice 2: Vocabulary Display Visual Vocabulary Cards 24 and 33, gram and kilogram, to students. Read the routine on the back. Ask students to answer the questions. 2 TEACH Scaffolding Questions • Show students a base-ten cube or a gram cube and explain their weights are about 1 gram. Show other examples of items they can use as a benchmark for grams, such as a paper clip. • Measure the items in grams that were categorized as weighing less than a kilogram. • What is different about the items you weighed in grams and those weighed in kilograms? Those measured in grams are smaller and lighter than those measured in kilograms. Get Ready 3/12/10 10:11 AM Use the Get Ready section at the top of the page to teach the lesson concept. Check Observe students as you work through the Check Exercises as a class. E TALK MATH Use the Talk Math Exercise to assess student comprehension before assigning the practice exercises. Building Math Vocabulary • Explain that gram and kilogram are metric units for measuring mass. Mass is the amount of matter in an object and is different than weight. The mass of an object never changes. • Show students a bag of 8 apples. Say that a bag of 8 apples is about 1 kilogram. Explain that kilo means “(thousand)”, so a kilogram means 1,000 grams. • Would you use grams to measure the weight of light or heavy objects? light objects • Would you use kilograms to measure the weight of light or heavy objects? heavy objects 501 Measure Capacity and Weight Practice Alternate Teaching Strategy AL Find the item. Circle the better estimate. Measure. Circle the closer measure. Item 5. 6. 7. 8. If Estimate Measure about 3 grams about 15 grams 3 grams 15 grams about 10 grams about 1 gram 10 grams 1 gram about 5 kilograms about 15 kilograms 5 kilograms 15 kilograms about 35 kilograms about 10 kilograms 35 kilograms 10 kilograms students have trouble understanding grams and kilograms . . . Then 1 AL use one of these reteach options: Reteach Worksheet 2 Kilogram Race Have students fill a bag with items they estimate to equal 1 kilogram. Have students try combinations of items such as books, boxes of crayons, and binders. Discuss the estimates. 3 PRACTICE Practice 9. about 1000 grams about 100 grams 1000 grams 100 grams The side of the scale with the 1-kilogram weight will drop because Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 10. Explaining Math If you have a 1-kilogram weight on one side of a balance scale and a 5-gram weight on the other side, what will happen to the scale? Explain why. Differentiate practice using these suggestions. Level Assignment AL Approaching Level Guide students through the exercises. Help them measure to check their answers. OL On Level Complete independently by measuring. BL Beyond Level Complete exercises without measuring. Homework Practice Worksheet Problem-Solving Practice Worksheet 1 kilogram is heavier than 5 grams. 502 five hundred two 4 ASSESS Math at Home Activity: While at the grocery store, ask your child to find items that show mass in kilograms and/or grams. Formative Assessment 501_502_C12_L02_103028.indd 502 ! COMMON ERROR! Students often confuse mass and weight. Mass is the amount of matter in an object, which is different from the unit of measurement, weight. Remember that weight is how heavy an object is. 3/12/10 10:11 AM What is the difference between a gram and kilogram? Sample answer: 1 kilogram equals 1,000 grams. E WRITE MATH Have students write about how they would use a balance to measure the weight of objects in grams and kilograms. Are students continuing to struggle with grams and kilograms? During Small Group Instruction If Yes AL Daily Transparencies If No OL Differentiated Instruction Option 1 Differentiated Instruction Option 1 Skills Practice Worksheet Enrich Worksheet BL OL BL (p. 497c) (p. 497d) Measure Capacity and Weight 502 Multi-Partt Lesson 2 A PART PART X C Multi-Part Lesson Volume B PART A B 2 C Name C Problem-Solving Investigation I use 16 ounces of flour for each batch of cookies that I make. Main Idea Objective I will choose a strategy to solve a problem. Choose the best strategy to solve problems. Your Mission: Find how many ounces of flour are in 3 batches of cookies. Leveled Worksheets Get ConnectED What do I know? Underline what you know. What do I need to find? Circle it. GLE 0206.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. How will I solve the problem? One way is to write a number sentence. Activity Choice 1: Review Tell students that they can choose from these strategies to solve problems: logical reasoning; make a table; write a number sentence. Write and read aloud the following: Four boxes were delivered to Sam’s house. Each box weighed 3 pounds. How much did the boxes weigh altogether? 12 pounds • How did you solve the problem? Sample answer: I wrote a number sentence to show 3 + 3 + 3 + 3 = 12. 2 TEACH Understand Using the questions, review what students know and what they need to find. Plan Guide students to write a number sentence to solve the problem. Ask: Will you write an addition sentence or a subtraction sentence to find how many ounces of flour are in 3 batches of cookies? addition sentence Have them discuss their strategy. Solve Ask students: • How many batches of cookies is he making? 3 • How many ounces of flour does he need for 1 batch of cookies? 16 ounces • Find how many ounces of flour are in 3 batches of cookies. 48 ounces Check Have students look back at the problem to make sure that they have written the number sentence correctly. • Remind students to label their answers. 503 Measure Capacity and Weight Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 1 INTRODUCE Write a number sentence. 16 + 16 + 16 = 48 There are 48 ounces of flour in 3 batches of cookies. Look back. Is my answer reasonable? See students’ explanations. GLE 0206.1.2 Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution. Measure Capacity and Weight 503_504_C12_PSI_103028.indd 503 five hundred three 503 3/12/10 10:12 AM Alternate Teaching Strategy AL • Write a number sentence • Make a table • Draw a picture If Choose a strategy. Solve. Then 1. Kendra puts 3 toy cars in a row. The black car is behind the red car. The red car is behind the white car. Which color car is in front? 1 white car Reteach Worksheet 3 PRACTICE Mixed Problem Solving 81¢ Exercises 1–4 Be sure that students can read and understand the problems. Have them apply the same steps they used in the problem on the previous page. 3. For the school carnival, the principal bought 73 gallons of water and 59 gallons of juice. How many gallons did he buy in all? 4. Pearl gives out 3 packs of markers to each group. There are 5 groups in the class. How many packs of markers does Pearl give out? 15 packs Groups 1 2 3 4 5 Packs of Markers 3 6 9 12 15 Homework Practice Worksheet Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 132 gallons To assess partial mastery of GLE 0206.1.5, see your Tennessee Assessment Book. use one of these reteach options: 2 Show a Model Think aloud as you model choosing a strategy for a particular problem. Explain your reasoning as you set up the problem on the board. 2. Corey has 43¢ in his piggy bank. His brother has 38¢. If they put their money together, how much will they have? 504 AL students having trouble choosing a strategy . . . 4 ASSESS Formative Assessment Write the following problem on the board: There are 15 children riding in a school bus. The bus stops and picks up 6 more. How many children are riding in the school bus? • What strategy would you choose to solve the problem? Sample answer: write a number sentence Math at Home Activity: Take advantage of problem-solving opportunities during daily routines such as riding in the car, bedtime, doing laundry, putting away groceries, planning schedules, and so on. • Use your strategy to solve the problem. See students’ work. E 503_504_C12_PSI_103028.indd 504 ! COMMON ERROR! 3/12/10 10:12 AM WRITE MATH Have students write about how they would use a balance to measure the weight of objects in grams and kilograms. Students may not understand what the problem is asking. Have them break down the information given to be able to choose the best strategy for solving. A students line up for recess, lunch or As dismissal, call out a combination of coins and have students say the total. Are students continuing to struggle with choosing a strategy? During Small Group Instruction If Yes Multi-Part Lesson 3 What are some things you learned about measuring capacity or weight of an object in this multipart lesson? They are measured using standard units like ounces, pounds, cups, pints and quarts. AL AL If No BL OL BL Daily Transparencies Differentiated Instruction Option 1 Differentiated Instruction Option 2 Skills Practice Worksheet Enrich Worksheet (p. 497c) (p. 497d) Measure Capacity and Weight 504 3/12/10 10:13 AM 505_506_C12_CC_103028.indd 506 Farmers grow some vegetables from seeds. Then the vegetables are picked. They truc sent are Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Use data to solve problems in social studies. GLE 0206.1.5 Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions. ✔ 0206.1.15 Use age-appropriate books, stories, and videos to convey ideas of mathematics. 505 Measure Capacity and Weight B 3/12/10 10:13 AM Objective A Som the Copyright Copyright © © Macmillan/McGraw-Hill, Macmillan/McGraw-Hill, aa division division of of The The McGraw-Hill McGraw-Hill Companies, Companies, Inc. Inc. This book belongs to 505_506_C12_CC_103028.indd 505 Do you know what happens before fruits and vegetables are ready to eat? Activate Prior Knowledge Before you turn your students’ attention to the pages, have them share what they know about vegetables and where they grow. • What are examples of vegetables you eat? Sample answers: carrots, potatoes, celery, lettuce • Where have you seen vegetables? Sample answers: in the grocery store, on farms • Why is it important to eat vegetables each day? They are good for you. Vegetables contain important vitamins that your body needs to stay healthy. les They are loaded onto big trucks. Some vegetables are sent to be canned, and some are sent to be frozen. Look at the picture below. Would you measure the amount of tomatoes in ounces or pounds? pounds At a factory, tomatoes are turned into tomato juice. The juice is sold at stores. Would tomato juice be sold by cups or by gallons? gallons D C Fun Facts F • In the United States, more tomatoes are consumed than any other single vegetable or fruit. • Almost all of the broccoli sold in the United States is produced in California. • Florida is the #1 producer of fresh market tomatoes. • According to the USDA, the average American eats beween 126–140 pounds of potatoes each year. This includes over 50 pounds of french fries! The state of New York consumes more potatoes than any other state, followed by Ohio. FOLD DOWN Some vegetables are sent to the grocery store. Use the Student Pages Have students work individually or in pairs to solve the word problem on page D. Page B Discuss with students how the vegetables have changed since they were planted as seeds. Explain that they needed water, sun, and a place to grow. Page D Help students determine what a reasonable estimate would be. Encourage them to come up with different scenarios and which form of measurement would be appropriate. E WRITE MATH Have students write about what happens to vegetables before they are sent to the grocery store. ELL Extend Vocabulary: Consumed Students may need direct instruction on how consumed can be used (consumed in a fire, consume food, etc.) and that it has the same meaning as eaten. Extend the Activity BL Bring in information on vegetables grown in your area, including pictures. Measure Capacity and Weight 506 Chapter Review/Test Chapter Review/Test Name Vocabulary The Use the words below to complete the sentences. BIG Idea pounds As a class, revisit this chapter’s Big Idea. capacity weight 1. When I measure using cups and pints, I am How will I measure the capacity, weight, and mass of objects? Sample answer: I will use standard and nonstandard units of measurement for solids and liquids to determine the weight mass or capacity of various objects. measuring capacity . 2. Weight can be measured in ounces and 3. Weight pounds . tells us how heavy something is. Dinah Zike’s Foldables® Use the lesson suggestion to incorporate the Foldable during the chapter. Students can then use their Foldable to review for the test. Concepts • Visual Vocabulary Cards (24, 33, 34, 43, 49, 73) • eGlossary • Reflecting on the Chapter Chapter Test Get ConnectED Find alternative summative assessment Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Review chapter vocabulary using one of the following options. 5. 4. Lessons 2A and 2B Guide students to record what they have learned about customary units of weight and metric units of mass. Vocabulary Review 4–7. Sample answers given. Circle the better unit to measure each capacity. cup pint quart cup gallon pint quart gallon Circle the better unit to measure each metric capacity. 7. 6. options. milliliter liter Measure Capacity and Weight milliliter liter five hundred seven 507_508_C12_CR_103028.indd 507 Chapter Project Favorite Recipes Have students discuss the results of their completed chapter project as a class. 507 Measure Capacity and Weight 507 3/12/10 10:14 AM Circle the better unit to measure the weight of each object. 8. 9. ounce pound Summative Assessment ounce Use these alternate leveled chapter tests to differentiate assessment for the specific needs of your students. pound Circle the better unit to measure the mass of each object. 10. Level 11. gram kilogram gram 12. kilogram kilogram gram kilogram Form AL Multiple Choice 1A AL Multiple Choice 1B OL Multiple Choice/Free Response 2A OL Multiple Choice/Free Response 2B BL Free Response 3A BL Free Response 3B 13. gram Chapter Tests Type Additional Chapter Resource Masters 84 pounds 15. Dee thinks her backpack is heavy. She thinks it is at least 5 ounces. Is ounce the correct unit of measure? Which unit should she use? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 14. There are two dogs at the park. Max weighs two pounds more than Barkley. Barkley weighs eighty-two pounds. How much does Max weigh? OL Vocabulary Test OL Oral Assessment OL Listening Assessment AL = approaching grade level OL = on grade level BL = beyond grade level No; she should use pounds. 508 five hundred eight Customize and create multiple versions of your Chapter Test and their test answer keys. Measure Capacity and Weight 507_508_C12_CR_103028.indd 508 3/12/10 10:14 AM Data-Driven Decision Making Based on the results of the Chapter Test, use the following to review concepts that continue to present students with problems. Exercises Tennessee Standards 1–3 4–7 GLE 0206.1.5 What’s the Math? Error Analysis Understand vocabulary used in measurement. Does not understand math vocabulary. Choose the better unit to measure capacity. Confuses customary and metric units of capacity. 8–13 GLE 0206.1.5 Choose the better unit to measure weight and mass. Does not understand ounces, pounds, grams, or kilograms. 14, 15 GLE 0206.1.2 Solve problems involving weight. Does not understand ounces and pounds. Resources for Review Chapter Resource Masters Get ConnectED Lesson Animations • Self-Check Quiz Measure Capacity and Weight 508 Test Practice Test Practice Name Listen as your teacher reads each problem. Choose the correct answer. 1 INTRODUCE A. A vet made this note about a dog. Spot: 18 pounds, 4 ounces Which of the following was the vet recording? For the Teacher • Review units of weight, capacity, mass, and volume before the test. • Remind students not to work ahead of the problem you are reading. For the Student • Look over the entire test before beginning. Spot’s weight Spot’s height Spot’s age Spot’s capacity 1. What number goes in the box to make this number sentence true? • If you have extra time, check each problem to make sure your answer makes sense. 4+5= 2 TEACH 3 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Before beginning the practice test, give students an opportunity to solve the Additional Example. p What unit would you use to measure the weight of a box of 64 crayons? ○ gallons ○ liters ○ milliliters B. Look at the cube. Exactly how many faces does the cube have? pounds 4 8 6 2. Which unit could you use to measure the weight of a stapler? 4 2 3. What is the capacity of this spoon? +4 5 6 1 liter 1 gallon 1 cup 1 milliliter 4. Martin wants to find the capacity of a fish tank. Which unit should Martin use to find the capacity? milliliter ounce gram hour cup gallon gallon pint IWB INTERACTIVE WHITEBOARD READY Measure Capacity and Weight five hundred nine 509 3 ASSESS 509_510_C12_TP_103028.indd 509 3/12/10 10:15 AM Formative Assessment • Use Student Edition as practice and cumulative review. The questions are written in the same style as many standardized tests. • You can use these two pages to benchmark student progress, or as an alternative homework assignment. 509 Measure Capacity and Weight Additional Practice • Standardized Test Practice • Get ConnectED • Find additional test practice. Create practice worksheets or tests that align to your state’s standards. 5. Which number goes in the box? 30 < 14 8. Estimate the mass of a paper clip. < 60 22 42 71 6. Look at the items below. Which item has the largest capacity? 1 gram 50 grams 1 kilogram 5 kilograms Test Directions for Teachers Read the following directions to students before they begin the test. Then read each question followed by a pause to allow students time to work on the problem and choose an answer. The first two test items can be worked as class examples. 9. Alice wants to know the length of her pencil. What is the length of the pencil to the nearest inch? • Write your name at the top of the page. • I am going to read each question to you. Listen carefully to the entire question before you choose an answer. Multiple Choice 5 10. Zach has 63 baseball cards. Robby has 20 baseball cards. How many baseball cards do they have altogether? Zach Robby milliliters liters pounds gallons 83 510 five hundred ten 63 20 1. What number goes in the box to make this number sentence true? 2. Which unit could you use to measure the weight of a stapler? 3. What is the capacity of this spoon? 4. Martin wants to find the capacity of a fish tank. Which unit should Martin use to find the capacity? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 7. Which unit would you use to measure the weight of a soccer ball? A. A vet made this note about a dog. Spot: 18 pounds, 4 ounces. Which of the following was the vet recording? B. Look at the cube. Exactly how many faces does the cube have? inches • Turn the page over. 5. Which number goes in the box? 6. Look at the items below. Which item has the largest capacity? 7. Which unit would you use to measure the weight of a soccer ball? 8. Estimate the mass of a paper clip. baseball cards Measure Capacity and Weight 509_510_C12_TP_103028.indd 510 3/12/10 10:15 AM If You Missed Question... Go to Lesson... For Help With... A 2A GLE0206.1.5 B 10-2B GLE0206.4.1 1 1-3B GLE0206.3.3 2 2A GLE0206.1.5 3 1C [optional] 4 1B [optional] 5 9-3D GLE0206.2.1 6 1B [optional] 7 2A GLE0206.1.5 8 2B GLE0206.1.5 9 11-2B GLE0206.4.2 10 3-2E GLE0206.2.3 Short Response 9. Alice wants to know the length of her pencil. What is the length of the pencil to the nearest inch? 10. Zach has 63 baseball cards. Robby has 20 baseball cards. How many baseball cards do they have altogether? Measure Capacity and Weight 510 Photo Credits: Unless otherwise credited, all currency courtesy of the US Mint. 481E (l to r, t to b)Burke/Triolo Productions/Brand X Pictures/Getty Images, Ken Karp/The McGraw-Hill Companies, Ingram Publishing/Superstock, G.K. Vikki Hart/Photodisc/Getty Images, Brand X Pictures/PunchStock, Mark Steinmetz, Mark Steinmetz, Mark Steinmetz; 481F (t)Ed-Imaging, (c)Digital Stock/CORBIS, (b)Richard Hutchings/Digital Light Source Inc.; 485C (l)Mark Steinmetz, (r)Digital Stock/CORBIS; 485D (t)D. Hurst/Alamy Images, (b)Image Source/PunchStock; 497C G.K. Vikki Hart/Photodisc/Getty Images; 497D Mark Steinmetz. Copyright © 2012 by the McGraw-Hill Companies, Inc. All rights reserved. Permission is granted to reproduce the Chapter Resource Masters material on pages 1–61 on the condition that such material be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with Tennessee Math Connects. Any other reproduction, for use or sale, is prohibited without prior written permission of the publisher. No additional parts of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, network storage or transmission, or broadcast for distance learning. 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