Enhanced Instructional Transition Guide Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Unit 09: Measurement (18 days) Possible Lesson 01 (5 days) Possible Lesson 02 (5 days) Possible Lesson 03 (5 days) Possible Lesson 04 (3 days) POSSIBLE LESSON 01 (5 days) This lesson is one approach to teaching the State Standards associated with this unit. Districts are encouraged to customize this lesson by supplementing with districtapproved resources, materials, and activities to best meet the needs of learners. The duration for this lesson is only a recommendation, and districts may modify the time frame to meet students’ needs. To better understand how your district is implementing CSCOPE lessons, please contact your child’s teacher. (For your convenience, please find linked the TEA Commissioner’s List of State Board of Education Approved Instructional Resources and Midcycle State Adopted Instructional Materials.) Lesson Synopsis: Students use various measurement tools to find the customary measures of length, weight, and capacity. Students investigate conversions for customary units of measures for length, weight, and capacity with process tables and the STAAR Grade 5 Mathematics Reference Materials. TEKS: The Texas Essential Knowledge and Skills (TEKS) listed below are the standards adopted by the State Board of Education, which are required by Texas law. Any standard that has a strike-through (e.g. sample phrase) indicates that portion of the standard is taught in a previous or subsequent unit. The TEKS are available on the Texas Education Agency website at http://www.tea.state.tx.us/index2.aspx?id=6148 5.10 Measurement.. The student applies measurement concepts involving length (including perimeter), area, capacity/volume, and weight/mass to solve problems. The student is expected to: 5.10A Perform simple conversions within the same measurement system (SI (metric) or customary). Supporting Standard Underlying Processes and Mathematical Tools TEKS: 5.14 Underlying processes and mathematical tools.. The student applies Grade 5 mathematics to solve problems connected to everyday experiences and activities in and outside of school. The student is expected to: 5.14A Identify the mathematics in everyday situations. page 1 of 72 Enhanced Instructional Transition Guide Grade 5/Mathematics Unit 09: Suggested Duration: 5 days 5.14D Use tools such as real objects, manipulatives, and technology to solve problems. 5.15 Underlying processes and mathematical tools.. The student communicates about Grade 5 mathematics using informal language. The student is expected to: 5.15A Explain and record observations using objects, words, pictures, numbers, and technology. 5.15B Relate informal language to mathematical language and symbols. Performance Indicator(s): page 2 of 72 Enhanced Instructional Transition Guide Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Grade 05 Mathematics Unit 09 PI 01 Select appropriate tools, measure, and convert customary measures for length, weight, and capacity in a variety of real-life problem situations such as the following: Carol measured and recorded the length of a piece of ribbon as shown below. Use a ruler to measure the length of the ribbon in inches. She cut off 2 inches and used the remaining ribbon for her craft project. If her craft project required 48 more pieces of the same length as the remaining ribbon, how many feet of ribbon will she need for her craft project? The table below shows the amount of milk each member of the Delgado family drank in a day. How many fluid ounces of milk did the family drink altogether? Which two family members drank a total of 88 fluid ounces of milk? Carrie, Devon, and Jaime grow melons. Carrie took 2 tons of melons to market, and Devon took of a ton fewer melons to market than Jaime. Jaime took 4664 pounds to market. List the weights of the melons, in pounds, from greatest to least, and write a number sentence that could be used to find the total weight of the melons, in pounds, they all took to market. Use a table to model the conversion for each measure and justify in writing how each conversion was obtained. Standard(s): 5.10A , 5.14A , 5.14D , 5.15A , 5.15B ELPS ELPS.c.1A , ELPS.c.1F , ELPS.c.5F Key Understanding(s): page 3 of 72 Enhanced Instructional Transition Guide Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Length, weight, and capacity are attributes found in everyday situations and real-world jobs that can be estimated, measured, compared, and ordered. The selection of an appropriate customary tool for length, weight, and capacity depends on the attribute to be measured and the problem situation. Fractional markings on measurement tools, such as a ruler, measuring cup, and scale, can be connected to the location of fractional values on a number line allowing for more precise measurements of length, capacity, and weight in problem situations. When converting between units of customary measure, a related data table can be used to observe the numerical pattern and determine the appropriate operation, multiplication and/or division. Mixed number measurement units can be renamed to equivalent measurement units. Underdeveloped Concept(s): Some students may misinterpret a remainder amount in an inappropriate decimal form. In other words, 3 ft 9 in. would incorrectly become 3.9 inches. Some students may struggle with deciding when to multiply or divide when converting units. Vocabulary of Instruction: capacity convert customary measurement length precise standard unit weight Materials List: adding machine tape (40” long) (3 strips per 2 students) bean (greater than 1 inch) (1 per teacher) cardstock (4 sheets per 2 students) map pencil (1 blue, 1 red) (1 set per 2 students) math journal (1 per student) measuring containers (customary capacity; cup, pint, quart, gallon) (1 set per 4 students) objects for measuring (various, between 1 and 5 inches long) (8 per 4 students) page 4 of 72 Enhanced Instructional Transition Guide object for measuring (various, precisely 2 Grade 5/Mathematics Unit 09: Suggested Duration: 5 days inches long) (1 per teacher) plastic tub (1 per 4 students) plastic zip bag (gallon sized) (1 per 4 students) plastic zip bag (sandwich sized) (1 per 2 students) plastic zip bag (sandwich sized) (1 per 4 students) popcorn kernels, dried beans, or rice (1 pound per 4 students) rice (uncooked) (6.5 pounds per 4 students) ruler (standard) (1 per student) scissors (1 per teacher) spring scale (1 per 4 students, 1 per teacher) STAAR Grade 5 Mathematics Reference Materials (1 per student, 1 per teacher) tape (clear) (1 roll per 2 students) yardstick (1 per 2 students) Attachments: All attachments associated with this lesson are referenced in the body of the lesson. Due to considerations for grading or student assessment, attachments that are connected with Performance Indicators or serve as answer keys are available in the district site and are not accessible on the public website. Customary Units Benchmark Chart SAMPLE KEY Customary Units Benchmark Chart Map It Out KEY Map It Out Customary Ruler To the Nearest-Customary Recording Sheet page 5 of 72 Enhanced Instructional Transition Guide Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Customary Length Notes/Practice KEY Customary Length Notes/Practice Customary Length Measure - Relationship Tables KEY Customary Length Measure - Relationship Tables High Jump Converting Customary Units of Length Notes/Practice SAMPLE KEY Converting Customary Units of Length Notes/Practice Measurement Conversion Graphic Converting Customary Units of Weight Notes/Practice SAMPLE KEY Converting Customary Units of Weight Notes/Practice What's My Capacity? Recording Sheet KEY What's My Capacity? Recording Sheet Gallon Graphic Organizer Converting Customary Units of Capacity Notes/Practice SAMPLE KEY Converting Customary Units of Capacity Notes/Practice What's My Measure? Activity Cards What's My Measure? Directions Customary Measurement Practice SAMPLE KEY page 6 of 72 Enhanced Instructional Transition Guide Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Customary Measurement Practice GETTING READY FOR INSTRUCTION Teachers are encouraged to supplement and substitute resources, materials, and activities to meet the needs of learners. These lessons are one approach to teaching the TEKS/Specificity as well as addressing the Performance Indicators associated with each unit. District personnel may create original lessons using the Content Creator in the Tools Tab. All originally authored lessons can be saved in the “My CSCOPE” Tab within the “My Content” area. Suggested Day 1 Suggested Instructional Procedures Notes for Teacher Topics: Spiraling Review Measuring customary lengths Engage 1 ATTACHMENTS Students use logic and reasoning skills to measure and determine distances on a scaled map. Teacher Resource: Customary Units Instructional Procedures: Benchmark Chart SAMPLE KEY (1 1. Display teacher resource: Customary Units Benchmark Chart. Facilitate a class discussion for students to share some benchmarks for each measurement unit for length. The remaining sections of this chart will be completed later in the unit. Ask: What is length? Answers may vary. How long something is from one end to the other; a distance per teacher) Teacher Resource: Customary Units Benchmark Chart (1 per teacher) Teacher Resource: Map It Out! KEY (1 per teacher) Handout: Map It Out! (1 per student) measurement; etc. What are some real-world items that approximate the measure of an inch? Answers may vary. The length across a soda bottle cap; etc. What are some real-world items that approximate the measure of a foot? Answers may MATERIALS ruler (standard) (1 per student) vary. The length of an adult male’s foot from heel to toe; etc. page 7 of 72 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Notes for Teacher What are some real-world items that approximate the measure of a yard? Answers may vary. The width of the door; etc. TEACHER NOTE In order to reproduce materials requiring linear 2. Distribute a standard ruler and handout: Map It Out! to each student. Instruct students to use the measure that are consistent with intended customary side of their ruler and the scale on the map to find the distances between each landmark. measurements noted on the KEY, set the print Allow students no more than 10 minutes to complete the activity. Monitor and assess students to menu to print the handout at 100% by check for understanding. Facilitate a class discussion to debrief student solutions. selecting “None” or “Actual size” under the Ask: Page Scaling/Size option. What is the length, in inches, between the park and home? (2 inches) How did you use the key to determine the actual distance between the park and home? (multiplied 2 and 300) Topics: Measuring customary lengths to the nearest eighth-inch ATTACHMENTS Teacher Resource: Customary Ruler (1 per teacher) Explore/Explain 1 Handout: To the Nearest-Customary Students estimate and measure the length of small objects to the nearest eighth-inch. Recording Sheet (1 per student) Teacher Resource: Customary Length Instructional Procedures: 1. Prior to instruction, create a Bag of Measuring Items for every 4 students by placing 8 miscellaneous objects between 1 and 5 inches long (e.g., beans, buttons, etc.) in a plastic zip bag. Notes/Practice KEY (1 per teacher) Handout: Customary Length Notes/Practice (1 per student) 2. Distribute a standard ruler or the STAAR Grade 5 Mathematics Reference Materials to each student. page 8 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher MATERIALS Instruct students to examine the customary side of their ruler. 3. Display teacher resource: Customary Ruler. ruler (standard) (1 per student) Ask: objects for measuring (various, between What fractional parts is 1 inch divided into? (halves, fourths, and eighths) The length of the fractional markings on the customary ruler helps to distinguish which fraction is represented. For example, the smallest fractional line represents represents , and the longest fractional line represents , the next longest fractional line 1 and 5 inches long) (8 per 4 students) object for measuring (various, precisely 2 inches long) (1 per teacher) plastic zip bag (sandwich sized) (1 per . 4 students) bean (greater than 1 inch) (1 per 4. Draw two 3-inch lines, one below the other, for the class to see. Label the whole inches on each line. Mark off half-inches on the first line and quarter-inches on the second line. Model for students the word precisely by using an item which is approximately 2 so students will see that 2 inches long and laying it along the lines inches is more accurate than 2 teacher) STAAR Grade 5 Mathematics Reference Materials (optional) (1 per student) inches or 3 inches. Ask: TEACHER NOTE Some may consider the terms accuracy and Which line could be used to measure more precisely? How do you know? (The line marked precision synonymous. However, in in fourths.) Answers may vary. The smaller the unit of measure used, the greater the precision; measurement, the more and more precise the page 9 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures etc. Notes for Teacher measuring units, the closer you get to true What are some examples of units of measurement that are more precise than other units of measurement? Answers may vary. Quarter-inches are more precise than half-inches; inches are more precise than feet; etc. accuracy of the measure. Example: 5. Place students in groups of 4 and distribute a Bag of Measuring Items to each group. 6. Using the displayed teacher resource: Customary Ruler, demonstrate how to measure a bean to the nearest half-inch and then to the nearest quarter-inch. 7. Instruct students to select an item from their Bag of Measuring Items, place their ruler against one edge of the item, and line up the zero on the ruler with the end of the item. Ensure students do not TEACHER NOTE line up the object with the end of the ruler, but rather line up the object with the zero. Remind students that all measurements are approximations. However, the smaller the unit 8. Instruct student groups to identify the inch mark closest to the other end of the displayed bean and you use, the more precise the measure you will get. The smaller the unit, the closer to the then find the or inch mark that is closest to the end of the bean. Allow time for students to exact measure. page 10 of 72 Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Notes for Teacher complete the activity. Monitor and assess students to check for understanding. Facilitate a class discussion about the customary measurements. TEACHER NOTE The STAAR Grade 5 Mathematics Reference Ask: Materials should be made available to To the nearest half-inch, how long is this bean? (1 students at all times. inches long) How do you know? Answers may vary. The end of the bean is between the 1 and 2 inch TEACHER NOTE In order to produce rulers that are consistent marks, but it is closer to the 1 inch mark; etc. with the rulers on the STAAR Mathematics To the nearest quarter-inch, how long is this same bean? (1 Reference Materials, follow these steps: inches long) 1. Set the print menu to print the pages at How do you know? Answers may vary. The end of the bean is between the 1 marks, but it is closer to the 1 and 1 inch 100% by selecting “None” or “Actual size” under the Page Scaling/Size option. inch mark; etc. 2. Print on paper that is wider than 8 ½ Which marks on the ruler determine whether the bean is closer to the half-inch mark or the three-quarter inch mark? Explain. ( inches, such as 11 by 17 inch paper. inch marks because they are the halfway marks 3. Trim the paper to 8 ½ by 11 inches so that between each fourth mark.) the rulers will be on the edge of the paper. How can you tell the difference between the half-inch and quarter-inch marks when measuring with a ruler? Answers may vary. The half-inch line is halfway between the inch TEACHER NOTE marks. The quarter-inch line is halfway between the half-inch marks, or divides the inch into In order to reproduce materials requiring linear fourths; etc. measure that are consistent with intended Will you ever have the same answer when measuring to the nearest half-inch and to the nearest quarter-inch? Explain. (Yes, because and are equivalent fractions.) measurements noted on the KEY, set the print menu to print the handout at 100% by selecting “None” or “Actual size” under the page 11 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures 9. Distribute handout: To the Nearest – Customary Recording Sheet to each student. Instruct Notes for Teacher Page Scaling/Size option. students to select 3 different items from their Bag of Measuring Items, estimate the length or longest part of each item, measure each item to the nearest inch, half-inch, quarter-inch, and eighth of an inch, and record each estimate and actual measure on their recording sheet. Allow time for students to measure their items and record their findings. Monitor and assess students to check for understanding. Facilitate a class discussion to debrief student solutions, as needed. 10. Distribute handout: Customary Length Notes/Practice to each student. Instruct students to complete the handout independently. Facilitate a class discussion to debrief handout: Customary Length Notes/Practice. Topics: Visualizing customary measurement conversions ATTACHMENTS Teacher Resource: Customary Length Measure – Relationship Tables KEY (1 per teacher) Explore/Explain 2 Handout: Customary Length Students create a customary ruler to visualize conversions between inches, feet, and yards. Measure – Relationship Tables (1 per student) Instructional Procedures: 1. Prior to instruction, cut 3 strips of adding machine tape, 40 inches long, for every 2 students. MATERIALS page 12 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures 2. Place students in pairs. Distribute 3 strips of adding machine tape, 1 blue and 1 red map pencil, a yardstick, a ruler, and roll of tape to each pair. Instruct students to push their desks together, side by side, and lay one of the strips of adding machine tape across their desks. Instruct students to use the yardstick to mark the left end of the adding machine tape with a “0” and the right end of the adding machine tape at other end of the yardstick with the length “1 yard.” Remind students to use tape, as necessary, to keep the adding machine tape secure to desks. 3. Instruct students to select another strip of adding machine tape, repeat the process of using the Notes for Teacher adding machine tape (40” long) (3 strips per 2 students) scissors (1 per teacher) map pencil (1 blue, 1 red) (1 set per 2 students) yardstick (1 per 2 students) ruler (standard) (1 per 2 students) yardstick to measure and label one yard, and then use the ruler to divide the yard into 3 feet, labeling tape (clear) (1 roll per 2 students) each foot. STAAR Grade 5 Mathematics 4. Instruct students to select their final strip of adding machine table, repeat the process of using the yardstick to measure and label one yard, and then use the ruler to divide the yard into 36 inches, Reference Materials (1 per student, 1 per teacher) labeling each inch and coloring the 12-inch mark red and the 24-inch mark blue. 5. Instruct students to lay the strip marked by feet in the middle of their desks and then place the strip marked by yards above it and the strip marked by inches below it, as shown below. Ask: Looking at these strips, how can you describe the relationship between feet and yards? Answers may vary. 1 yard is equal to 3 feet; a foot is equal to one-third of a yard; etc. page 13 of 72 Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Notes for Teacher Looking at these strips, how can you describe the relationship between inches and feet? Answers may vary. 1 foot is equal to 12 inches; one inch is one-twelfth of a foot; etc. How many inches are in half a foot? Half a yard? ( ft = 6 inches; yard = 18 inches) How many inches are in a quarter of a foot? Three-quarters of a foot? ( ft = 3 inches; ft = 9 inches) 6. Distribute the STAAR Grade 5 Mathematics Reference Materials to each student. Instruct student pairs to identify relationships modeled by their paper strips that also appear on the STAAR Grade 5 Mathematics Reference Materials. 7. Display the STAAR Grade 5 Mathematics Reference Materials for the class to see. Facilitate a class discussion about the location of the customary measurements for length. Texas Education Agency. (2011). State of Texas Assessments of Academic Readiness: STAAR page 14 of 72 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Notes for Teacher Grade 5 Mathematics Reference Materials. Austin, TX: Author. 8. Instruct students to examine the customary measurement for the mile on their STAAR Grade 5 Mathematics Reference Materials. Ask: How could the paper strips be used to make a tool to measure a mile? Answers may vary. I would have to tape together 1,760 of the yard tapes; etc. What is the relationship between yards and miles? How do you know? Answers may vary. One mile equals 1,760 yards; one yard is of a mile; the information is listed on the STARR Grade 5 Mathematics Reference Materials; etc. What is the relationship between feet and miles? How do you know? Answers may vary. One mile equals 5,280 feet; one foot is of a mile; there are 3 feet in every yard, and since there are 1,760 yards in a mile, I can find 3 times 1,760 to get the number of feet; etc. 9. Distribute handout: Customary Length Measure – Relationship Tables to each student. Instruct student pairs to use their paper strips to complete each table and describe the process or rule used. Allow time for students to complete the activity. Monitor and assess student pairs to check for understanding. Facilitate a class discussion to debrief student solutions. 2 Topics: Spiraling Review Customary measurement conversions for length Explore/Explain 3 ATTACHMENTS page 15 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Students use process tables to investigate and convert between customary units of measure for length. Notes for Teacher Teacher Resource: High Jump (1 per teacher) Instructional Procedures: Teacher Resource: Converting 1. Display the following conversions for the class to see: Customary Units of Length Notes/Practice SAMPLE KEY (1 per teacher) Handout: Converting Customary Units of Length Notes/Practice (1 per Ask: student) Handout (optional): Measurement How many inches are in a yard? How do you know? (36) Answers may vary. If there are 12 Conversion Graphic (1 per student) inches in 1 foot and 3 feet in a yard, then I multiply the number of inches in a foot by the number of feet in one yard. So, 12 x 3 = 36 inches; etc. If 12 x 3 tells you how many inches there are in one yard, how could you find the number MATERIALS of inches in 2 yards? (Multiply 12 x 3 x 2 = 72 inches or 36 x 2 = 72 inches.) Are there more feet or yards in a mile? Explain. Answers may vary. There are more feet in a math journal (1 per student) mile because a foot is a smaller unit of measure than a yard. Since the foot is the smaller unit of measure, it would take more of them to make a mile; since a yard is the larger unit of measure, it would take a fewer number of yards to make a mile; etc. How many feet are in a yard? (3 feet) How could you find the number of yards in a mile if you only knew the number of feet? (You could divide the number of feet by 3 because there are 3 feet in each yard.) How many yards are in a mile? (1,760 yards) How many yards are in 2 miles? (1,760 x 2 = 3,520 yards, and half of 1,760 is 880. So, TEACHER NOTE Sometimes students may confuse which unit is larger when looking at the Grade 5 STAAR Reference Materials conversion chart. They may think that the larger unit is the one with the larger number. For example 1ft = 12 in., some students may think that an inch is the 3,520 + 880 = 4,400 yards) larger unit because it has the larger number. page 16 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher Emphasize that the larger unit is the unit with 2. Display teacher resource: High Jump. Instruct students to replicate the table in their math journal. Remind students about the relationship tables they previously completed. the 1 because it takes a lot of the smaller units to make the one, larger unit. Ask: How do you decide which operation to use when you convert from one unit to another? Answers may vary. When converting from smaller units to larger units, like inches to feet, divide. When converting from larger units to smaller units, like feet to inches, multiply; etc. TEACHER NOTE It is important for students to understand you can only convert measurements of length with other units of length. For example, you would 3. Display the following table for the class to see: not convert units of weight to units of length. You can convert between customary units of length and metric units of length, but that will come later in middle school. TEACHER RESOURCE Use handout (optional): Measurement Conversion Graphic to summarize the rule for converting measurements for struggling 4. Instruct students to replicate the table in their math journal. students. page 17 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher Ask: When converting from smaller units to larger units, divide. What can you divide 12 by to get 1? Explain. (12, because 12 divided by 12 equals 1.) What is the rule or process for converting inches to feet? (Divide the number of inches by 12 to find the number of feet.) 5. Instruct students to add another row to their table to find the number of feet in 45 inches. 6. Place students in pairs. Instruct student pairs to use the rule or process to determine the number of feet in 45 inches. Allow time for students to complete the activity. Monitor and assess student pairs to check for understanding. Invite student volunteers from two different pairs to model their method for converting these units for the class to see. page 18 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher 7. Using the displayed teacher resource: High Jump, facilitate a class discussion about the problem situation. Ask: According to your calculations, which try was better for the high jump? How do you know? (The second try was better because the first try was only 3 ft 9 in., and the second try was 4 ft 5 in.) 8. Instruct students to examine the “First Try” measure for the Long Jump on the displayed teacher resource: High Jump. Ask: What operation do you use to convert yards into feet? How do you know? (Multiplication, because I am changing from larger units to smaller units.) 9. Display the following table for the class to see: 10. Instruct students to replicate the table in their math journal. page 19 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher Ask: When converting from larger units to smaller units, what operation would you use? (multiplication) What do you multiply 1 by to get 3? Explain. (3, because 1 x 3 = 3.) What is the rule or process for converting yards to feet? (Multiply the number of yards by 3 to find the number of feet.) 11. Instruct students to add another row to their table to find the number of feet in 2 yards. Ask: If 2 yards equals 6 feet, how could you complete the conversion of 2 yards 1 foot? (You need to add the 1 foot to the 6 feet to get 7 feet. So, 2 yd 1 ft = 7 ft.) According to these calculations, which try was better for the Long Jump? How do you know? (Both tries were equal because 7 ft = 7 ft.) 12. Distribute handout: Converting Customary Units of Length Notes/Practice to each student. Facilitate a class discussion regarding page 1. Allow students time to complete page 2. Monitor and page 20 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher assess students as they work. This may be completed as independent practice and/or homework. 3 Topics: Spiraling Review Customary measurement conversions for weight Explore/Explain 4 Students use process tables to investigate and convert between customary units of measure for weight. ATTACHMENTS Teacher Resource: Converting Customary Units of Weight Instructional Procedures: 1. Prior to instruction, create a Customary Weight Bag for every 4 students by placing 1 pound of popcorn kernels, dried beans, or rice in a gallon sized plastic zip bag. 2. Display previously created teacher resource: Customary Units Benchmark Chart. Facilitate a class Notes/Practice SAMPLE KEY (1 per teacher) Handout: Converting Customary Units of Weight Notes/Practice (1 per student) discussion for students to share some benchmarks for each measurement unit for weight. Ask: MATERIALS What is weight? Answers may vary. A measurement of the pull of gravity on an object; etc. What are some real-world items that weigh about an ounce? Answers may vary. A popcorn kernels, dried beans, or rice (1 hummingbird; slice of bread; etc. pound per 4 students) What are some real-world items that weigh about a pound? Answers may vary. Answers plastic zip bag (gallon sized) (1 per 4 may vary. Four sticks of butter; a textbook; a loaf of bread; etc. students) What are some real-world items that weigh about a ton? Answers may vary. A compact car; STAAR Grade 5 Mathematics a bull; etc. Reference Materials (1 per student, 1 per teacher) page 21 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures 3. Place students in groups of 4. Distribute the STAAR Grade 5 Mathematics Reference Materials to each student and a Customary Weight Bag and spring scale to each group. Instruct student groups to estimate the weight of the bag of popcorn kernels (or beans/rice) in pounds and then in ounces. Notes for Teacher spring scale (1 per 4 students, 1 per teacher) math journal (1 per student) Instruct students to record their estimate in their math journal. Allow time for students to estimate and record the estimated weight of the Customary Weight Bag. Monitor and assess students to check for understanding. TEACHER NOTE In Grade 4, students have learned that the 4. Demonstrate how to use a spring scale. Instruct student groups to use the spring scale to measure weight of an object is the force with which the and record the actual weight of each object in pounds and then ounces. Instruct students to record object is pulled vertically downward by gravity. each measure in their math journal. Allow time for students to measure and record the actual weight Therefore, the weight of an object varies of the Customary Weight Bag. Monitor and assess students to check for understanding. Facilitate a depending upon how far it is from the center of class discussion to debrief student solutions. Earth. For this reason, a spring scale is used Ask: because it measures weight or the pull of When you compare the pounds and ounces, what is the relationship? Answers may vary. One pound is equal to 16 ounces; 1 ounce is gravity on an object. of a pound; etc. How could you convert pounds to ounces? (Multiply the number of pounds by 16 to find the number of ounces.) 5. Display the following table for the class to see: page 22 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher Instruct students to replicate the table in their math journal. Ask: How is this table like the table used to covert customary measures of length? Answers may vary. It shows that when converting from a larger unit to a smaller unit, you multiply; etc. Where on the STAAR Grade 5 Mathematics Reference Materials does it show this relationship? (the third row under “Weight and Mass – Customary”) Texas Education Agency. (2011). State of Texas Assessments of Academic Readiness: STAAR Grade 5 Mathematics Reference Materials. Austin, TX: Author. 6. Instruct students to extend their table to find the number of ounces in 2, 3, 4, and 5 pounds. page 23 of 72 Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Notes for Teacher Ask: How many ounces are in 2 pounds? 3 pounds? 4 pounds? 5 pounds? (32, 48, 64, 80 oz) When converting from larger units to smaller units, what operation do you use? (multiplication) How do you convert from ounces to pounds? (Divide, because you are converting from the smaller unit of ounces to the larger unit of pounds.) How many ounces are in half of a pound? (Half of 16 is 8 ounces.) How many ounces are in 5 pounds? (5 pounds is 80 ounces, and half of 16 is 8. So, there are 88 ounces.) If there are 16 ounces in 1 pound, how many ounces are in a fourth of a pound? ( is the same as 16 ÷ 4; 16 divides into 4 groups with 4 in each group. 1 group of 4 is 4 OR of 16 = .) 7. Instruct students to create a table in their math journal that demonstrates the process of converting ounces to pounds. page 24 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher 8. Distribute handout: Converting Customary Units of Weight Notes/Practice to each student. Facilitate a class discussion regarding page 1. Allow students time to complete page 2. Monitor and assess students as they work. This may be completed as independent practice and/or homework. 4 Topics: Spiraling Review Customary measurement conversions for capacity Explore/Explain 5 Students use process tables to investigate and convert between customary units of measure for capacity. ATTACHMENTS Teacher Resource: What’s My Capacity? Recording Sheet KEY (1 Instructional Procedures: 1. Prior to instruction, create a Tub of Rice for every 4 students by placing 6.5 pounds of uncooked rice in a plastic tub to represent a capacity measurement of more than a gallon. 2. Display previously created teacher resource: Customary Units Benchmark Chart. Facilitate a class per teacher) Handout: What’s My Capacity? Recording Sheet (1 per student) Teacher Resource: Gallon Graphic Organizer (1 per teacher) discussion for students to share some benchmarks for each measurement unit for capacity. Teacher Resource: Converting Ask: Customary Units of Capacity page 25 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher Notes/Practice SAMPLE KEY (1 per What is capacity? Answers may vary. A measurement of the maximum amount a container will hold; etc. What are some real-world items that hold about one fluid ounce? Answers may vary. A completely filled mouthwash cap; etc. teacher) Handout: Converting Customary Units of Capacity Notes/Practice (1 per student) What are some real-world items that hold about a cup? Answers may vary. A small juice box; the lunchroom milk carton; a single serving of yogurt; etc. What are some real-world items that hold about a pint? Answers may vary. A small carton of MATERIALS ice cream; etc. What are some real-world items that hold about a quart? Answers may vary. A medium measuring containers (customary bottle of sports drink; etc. capacity; cup, pint, quart, gallon) (1 set What are some real-world items that hold about a gallon? Answers may vary. A jug of milk; per 4 students) etc. plastic tub (1 per 4 students) rice (uncooked) (6.5 pounds per 4 3. Place students in groups of 4. Distribute the STAAR Grade 5 Mathematics Reference Materials to each student and a Tub of Rice and a set of customary capacity measuring containers (cup, pint, quart, and gallon) to each group. Instruct students to examine the customary units for capacity on students) STAAR Grade 5 Mathematics Reference Materials (1 per student) their STAAR Grade 5 Mathematics Reference Materials. page 26 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures Notes for Teacher TEACHER NOTE The STAAR Grade 5 Mathematics Reference Materials combines Volume and Capacity within the same header. According to TEA Mathematics TEKS Refinement 2006, capacity and volume are defined as follows: "Capacity is the description of the maximum Texas Education Agency. (2011). State of Texas Assessments of Academic Readiness: STAAR amount of materials a container or receptacle Grade 5 Mathematics Reference Materials. Austin, TX: Author. can hold/contain. This is the maximum volume of the container. Volume is defined as how 4. Distribute handout: What’s My Capacity? Recording Sheet to each student. Instruct student groups to use their STAAR Grade 5 Mathematics Reference Materials to complete the conversions for each problem and then justify their conversion by pouring rice from one customary capacity container to the other customary capacity container to determine equivalent measures. Allow time for student groups to complete the activity. Listen carefully to student discussions regarding the use of the terms, capacity and volume. See Teacher Note regarding the distinction between these two terms. Monitor and assess students to check for understanding. Facilitate a class discussion to debrief student much 3-dimensional space a given material occupies. Volume is a property of the material." For example, a container may have a capacity of 1 quart; when the container is filled with rice, the rice has a volume of 1 quart. The rice does not have capacity. solutions and for students to share the discovered relationships between cups, pints, quarts, and gallons. TEACHER NOTE Emphasize some items are sold by weight 5. Display teacher resource: Graphic Gallon Organizer. Instruct students to replicate this graphic organizer in their math journal. Ask: Does this graphic organizer demonstrate the relationships you discovered? Check your and others by volume, and you cannot convert between the two attributes. For example, one pint of berries weighs approximately the same as another pint of berries, but it would not page 27 of 72 Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Notes for Teacher weigh the same as a pint of water. results on your recording sheets. Why or why not? Answers may vary. TEACHER NOTE Items can be described using different units of measure. For example, a carton of juice holds about a quart and weighs about 2 pounds. Students may confuse the unit of fluid ounce for capacity and volume with the unit of ounce used for weight. In other words, you could use How could this graphic help you convert units of capacity? Answers may vary. Each letter in the graphic stands for a unit of capacity and the number of units within each; etc. a kitchen spring scale to weigh an ounce of rice, but you would use a measuring cup to According to this graphic, how many quarts are in a gallon? (4 qt) find the number of fluid ounces of rice (cooked According to this graphic, how many pints are in a quart? (2 pt) or not). Monitor students to ensure that they According to this graphic, how many cups are in a pint? (2 c) What operation could you use to convert larger units of capacity to smaller units of use the units correctly. capacity? (multiplication) Smaller units of capacity to larger units of capacity? (division) How many quarts are in a half-gallon? (There are 4 quarts in one gallon, so there are 2 quarts State Resources in one-half gallon.) How many cups are in 2 quarts? (There are 4 cups in one quart, 2 x 4 = 8. of 4 is the MTR 3 – 5: Fill ‘Er Up!; Measurement same as 4 ÷ 2; 4 divides into 2 groups with 2 in each group. 1 group of 2 is 2. 8 + 2 = 10. So, Jeopardy there are 10 cups.) TEXTEAMS: Rethinking Elementary Do you think there would be more or less cups in 2 quarts? (There would be less cups Mathematics Part I: Tiffany’s Beanie Babies™ because is less than .) page 28 of 72 Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures How many cups are in 2 quarts? (There are 4 cups in one quart, 2 x 4 = 8. Notes for Teacher of 4 is the same as 4 ÷ 4; 4 divides into 4 groups with 1 in each group. 1 group of 1 is 1. 8 + 1 = 9. So, there are 9 cups.) 6. Distribute handout: Converting Customary Units of Capacity Notes/Practice to each student. Facilitate a class discussion regarding page 1. Allow students time to complete page 2. Monitor and assess students as they work. This may be completed as independent practice and/or homework. 5 Topics: Spiraling Review Customary measurement conversions for length Customary measurement conversions for weight ATTACHMENTS Customary measurement conversions for capacity and volume Card Set: What’s My Measure? Elaborate 1 Activity Cards (1 set per 2 students) Students convert between customary units of measure for length, weight, and capacity and volume. Handout: What’s My Measure? Directions (1 per 2 students) Instructional Procedures: 1. Prior to instruction, create a card set: What’s My Measure? Activity Cards for every 2 students by copying on cardstock, laminating, cutting apart, and placing in a plastic zip bag. 2. Place students in pairs. Distribute card set: What’s My Measure? Activity Cards and handout: What’s My Measure? Directions to each student pair. Teacher Resource: What’s My Measure? Directions (1 per teacher) Teacher Resource (optional): Customary Measurement Practice KEY (1 per teacher) Handout (optional): Customary page 29 of 72 Enhanced Instructional Transition Guide Suggested Day Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Suggested Instructional Procedures 3. Display teacher resource: What’s My Measure? Directions. Facilitate a class discussion about the directions of the game. Instruct student pairs to play the game and record their calculations in their Notes for Teacher Measurement Practice (1 per student) math journal. Allow time for students to complete the activity. Monitor and assess student pairs to check for understanding. MATERIALS cardstock (4 sheets per 2 students) scissors (1 per teacher) plastic zip bag (sandwich sized) (1 per 2 students) math journal (1 per student) ADDITIONAL PRACTICE Handout (optional): Customary Measurement Practice may be used to further facilitate understanding of customary measurement conversions for length, weight, and capacity. Evaluate 1 Instructional Procedures: MATERIALS ruler (standard) (1 per student) STAAR Grade 5 Mathematics page 30 of 72 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures 1. Assess student understanding of related concepts and processes by using the Performance Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Notes for Teacher Reference Materials (1 per student) Indicator(s) aligned to this lesson. Performance Indicator(s): TEACHER NOTE In order to produce rulers that are consistent Grade 05 Mathematics Unit 09 PI 01 Select appropriate tools, measure, and convert customary measures for length, weight, and capacity in a with the rulers on the STAAR Mathematics Reference Materials, follow these steps: variety of real-life problem situations such as the following: 1. Set the print menu to print the pages at Carol measured and recorded the length of a piece of ribbon as shown below. 100% by selecting “None” or “Actual size” under the Page Scaling/Size option. 2. Print on paper that is wider than 8 ½ Use a ruler to measure the length of the ribbon in inches. She cut off 2 inches and used the remaining ribbon for her craft project. If her craft project required 48 more pieces of the same length as the remaining ribbon, how many feet of ribbon will she need for her craft project? inches, such as 11 by 17 inch paper. 3. Trim the paper to 8 ½ by 11 inches so that the rulers will be on the edge of the paper. The table below shows the amount of milk each member of the Delgado family drank in a day. page 31 of 72 Enhanced Instructional Transition Guide Suggested Day Suggested Instructional Procedures Grade 5/Mathematics Unit 09: Suggested Duration: 5 days Notes for Teacher How many fluid ounces of milk did the family drink altogether? Which two family members drank a total of 88 fluid ounces of milk? Carrie, Devon, and Jaime grow melons. Carrie took 2 tons of melons to market, and Devon took of a ton fewer melons to market than Jaime. Jaime took 4664 pounds to market. List the weights of the melons, in pounds, from greatest to least, and write a number sentence that could be used to find the total weight of the melons, in pounds, they all took to market. Use a table to model the conversion for each measure and justify in writing how each conversion was obtained. Standard(s): 5.10A , 5.14A , 5.14D , 5.15A , 5.15B ELPS ELPS.c.1A , ELPS.c.1F , ELPS.c.5F 05/10/13 page 32 of 72 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Units Benchmark Chart SAMPLE KEY Weight Length Name Benchmark Comparison inch in. foot ft yard yd the width of a door mile mi 4 times around a high school football field track ounce oz weight of a slice of bread pound lb weight of a loaf of bread ton T weight of a compact car fluid ounce Capacity Symbol fl oz length across a soda bottle cap length of an adult male’s foot from heel to toe a completely filled mouthwash cap cup c a single serving of yogurt pint pt a small carton of ice cream quart qt a medium bottle of sports drink gallon gal. ©2012, TESCCC a jug of milk 04/29/13 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Units Benchmark Chart Weight Length Name inch in. feet ft yard yd mile mi ounce oz pound lb ton T Capacity fluid ounce ©2012, TESCCC Symbol Benchmark Comparison fl oz cup c pint pt quart qt gallon gal. 10/08/12 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Map It Out! KEY Grocery Store School 4 in. 2 Post Office . in n. Bank 3 in. 1i 3i n. 1 inch = 300 yards Home Pet Store 2 in. Park Use a ruler to measure to the nearest whole inch and find the distance between the following landmarks: (1) Bank and Post Office: (2) Grocery Store and School: (3) Park and Home: 300 yd 1,200 yd (4) Pet Store and Grocery Store: (5) Home and School: (6) Pet Store and Home: 2,100 yd 3,600 yd ©2012, TESCCC 05/10/13 600 yd 4,500 yd page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Map It Out! Grocery Store School Post Office Bank 1 inch = 300 yards Pet Store Home Park Use a ruler to measure to the nearest whole inch and find the distance between the following landmarks: (1) Bank and Post Office: (2) Grocery Store and School: (3) Park and Home: (4) Pet Store and Grocery Store: (5) Home and School: (6) Pet Store and Home: ©2012, TESCCC 04/10/13 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Ruler Make sure when you line up an object on the ruler, you always begin at “0”, not the end of the ruler. Example: ©2012, TESCCC 04/29/13 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 To the Nearest – Customary Recording Sheet Complete the table by estimating and then measuring the longest part of each chosen object to the nearest inch, half-inch, quarter-inch, and eighth of an inch as indicated. (1) Object: Estimate: Actual measurement to the nearest: inch 1 inch 4 1 inch 2 1 inch 8 (2) Object: Estimate: Actual measurement to the nearest: inch 1 inch 4 1 inch 2 1 inch 8 (3) Object: Estimate: Actual measurement to the nearest: inch ©2012, TESCCC 1 inch 4 1 inch 2 04/30/13 1 inch 8 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Notes/Practice KEY Notes Remember that the precision of a measurement is related to the unit of measure you use. The smaller the unit, the more accurate the measurement will be. Measuring to the nearest 1 inch is more accurate than measuring to the nearest inch. 8 Example: How long is this pencil, to the nearest inch? Step 1: Align the left side of the pencil with the zero mark of the ruler as shown above. Step 2: Notice where the pencil ends on the ruler. The pencil is between 3 and 4 inches long. Step 3: Decide whether 3 or 4 is the nearest inch. The length of this pencil is closer to 3 inches than 4 inches. To the nearest inch, the pencil is 3 inches long. How long is the pencil to the nearest The pencil is between 3 To the nearest 1 inch? 8 3 4 3 and 3 inches long. The pencil is closer to 3 inches long. 8 8 8 1 3 inch, the pencil is 3 inches long. 8 8 Which measure is more accurate? Why? 3 3 The measure 3 inches is more accurate than the measure to the nearest inch because 3 8 8 inches is closer than 3 inches to the pencil’s actual length. ©2012, TESCCC 04/26/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Notes/Practice KEY Practice Estimate the length in inches. Then measure the length to the nearest Estimate (in inches) Object 1 inch. 8 Measure to the 1 nearest inch 8 (1) Answers may vary. 2 1 inches 8 (2) Answers may vary. 2 5 inches 8 Answers may vary. 6 inches 8 or 3 1 inches 4 1 (3) ©2012, TESCCC 04/26/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Notes/Practice Notes Remember that the precision of a measurement is related to the unit of measure you use. The smaller the unit, the more accurate the measurement will be. Measuring to the nearest 1 inch is more accurate than measuring to the nearest inch. 8 Example: How long is this pencil, to the nearest inch? Step 1: Align the left side of the pencil with the zero mark of the ruler as shown above. Step 2: Notice where the pencil ends on the ruler. The pencil is between 3 and 4 inches long. Step 3: Decide whether 3 or 4 is the nearest inch. The length of this pencil is closer to 3 inches than 4 inches. To the nearest inch, the pencil is 3 inches long. How long is the pencil to the nearest The pencil is between 3 To the nearest 1 inch? 8 3 4 3 and 3 inches long. The pencil is closer to 3 inches long. 8 8 8 1 3 inch, the pencil is 3 inches long. 8 8 Which measure is more accurate? Why? 3 3 The measure 3 inches is more accurate than the measure to the nearest inch because 3 8 8 inches is closer than 3 inches to the pencil’s actual length. ©2012, TESCCC 04/26/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Notes/Practice Practice Estimate the length in inches. Then measure the length to the nearest Estimate (in inches) Object 1 inch. 8 Measure to the 1 nearest inch 8 (1) (2) (3) ©2012, TESCCC 04/26/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Measure – Relationship Tables KEY 1. Complete the table and answer the questions below. A). Yards Process/Rule Feet 1 x3 3 2 x3 6 3 x3 9 4 x3 12 5 x3 15 6 x3 18 7 x3 21 Feet 1 2 3 4 5 6 7 Process/Rule Inches x 12 12 x 12 24 x 12 36 x 12 48 x 12 60 x 12 72 x 12 84 B). Given the number of yards, what process or rule did you use to find the number of feet? Multiply the number of yards by 3 to find the number of feet. C). Given the number of feet, which process or rule did you use to find the number of inches? Multiply the number of feet by 12 to find the number of inches. 2. Use the information from the tables above to complete the following table and answer the questions below. A). Yards 1 2 3 4 5 6 7 Process/Rule x 36 x 36 x 36 x 36 x 36 x 36 x 36 Inches 36 72 108 144 180 216 252 B). How many inches are in 1 yard? How do you know? 36 inches. There are 12 inches in 1 foot and 3 feet in 1 yard. So 3 x 12 = 36 inches. C). How many inches are in 6 yards? How do you know? 216 inches. 6 x 36 = 216 inches. 1 D). How many inches are in 5 yards? How do you know? 2 1 Since 5 yards is halfway between 5 yards and 6 yards and 36 ÷ 2 equals 18 2 1 inches, 5 yards is 180 + 18 = 198 inches. 2 ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Measure – Relationship Tables KEY 3. Complete the table and answer the question below. A). Inches Process/Rule 3 ÷ 12 6 ÷ 12 9 ÷ 12 12 ÷ 12 18 ÷ 12 36 ÷ 12 45 ÷ 12 Feet (use fraction notation, where applicable) 3 1 or 12 4 6 1 or 12 2 9 3 or 12 4 1 18 6 1 or 1 or 1 12 12 2 3 45 9 3 or 3 or 3 12 12 4 B). Given the number of inches, what process or rule did you use to find the number of feet? I divided the number of inches by 12 and then simplified each fraction to represent the number of feet. 4. Complete the table and answer the question below. A). Yards B). Feet Process/Rule 1 ÷3 2 ÷3 3 ÷3 4 ÷3 5 ÷3 6 ÷3 7 ÷3 (use fraction notation, where applicable) 1 3 2 3 1 4 1 or 1 3 3 5 2 or 1 3 3 2 7 1 or 2 3 3 Given the number of feet, what process or rule did you use to find the number of yards? I divided the number of feet by 3 and then simplified each fraction to represent the number of yards. ©2012, TESCCC 05/06/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Measure – Relationship Tables 1. Complete the table and answer the questions below. A). Yards Process/Rule Feet 1 3 2 3 4 5 6 7 Feet 1 2 3 4 5 6 7 Process/Rule Inches 12 B). Given the number of yards, what process or rule did you use to find the number of feet? C). Given the number of feet, which process or rule did you use to find the number of inches? 2. Use the information from the tables above to complete the following table and answer the questions below. A). Yards 1 2 3 4 5 6 7 Process/Rule Inches B). How many inches are in 1 yard? How do you know? C). How many inches are in 6 yards? How do you know? D). How many inches are in 5 ©2012, TESCCC 1 yards? How do you know? 2 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Length Measure – Relationship Tables 3. Complete the table and answer the question below. A). Inches Process/Rule Feet (use fraction notation, where applicable) 3 6 9 12 1 18 36 45 B). Given the number of inches, what process or rule did you use to find the number of feet? 4. Complete the table and answer the question below. A). Feet Process/Rule Yards (use fraction notation, where applicable) 1 2 3 1 4 5 6 7 B). Given the number of feet, what process or rule did you use to find the number of yards? ©2012, TESCCC 05/06/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 High Jump A coach recorded the following distances at a track and field meet: First Try Second Try High Jump 45 in. 4 ft 5 in. Long Jump 2 yd 1 ft 7 ft Which high jump and long jump tries were better? Why? ©2012, TESCCC 10/08/12 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Length Notes/Practice SAMPLE KEY Changing Smaller Units to Larger Units Jack used 78 inches of ribbon for the award medallions. How many feet of ribbon did he use? Write down what you are supposed to find out. 78 in. = ____ feet Write down what you know about inches and feet. 12 in. = 1 foot (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that inches are smaller units than feet, so you need to divide to convert.) So, Jack used 6 1 feet of ribbon. 2 Inches Rule/Process Feet 12 ÷ 12 1 78 ÷ 12 6 6 1 or 6 12 2 So, Jack used 6 ft 6 in. of ribbon. Changing Larger Units to Smaller Units Sandra is 4 1 ft tall. How many inches tall is she? 2 1 ft = ____in. meaning 4 ft = _____ in. plus 1 ft =_____ in. 2 2 Write down what you know about feet and inches. 1 ft = 12 in. (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Write down what you are supposed to find out. 4 Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that feet are larger units than inches, so you need to multiply to convert.) Feet 1 4 Rule Process x 12 x 12 Inches Feet 12 1 48 1 2 Rule Process x 12 x 12 Inches 12 1 of 12 is the same as 12 ÷ 2; 12 divides into 2 groups with 2 6 6 in each group. 1 group of 6 is 6 OR 1 = 2 6 12 So, 4 ft = 48 in., and 48 + 6 = 54 in. Sandra is 54 inches tall. ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Length Notes/Practice SAMPLE KEY Complete each of the following by using a table to organize the measurement units. Show your work. Practice: 1. 12 ft = 144 in. Feet 1 12 2. 27 yd = 81 ft Rule Inches x 12 12 x 12 144 3. 89 ft = 1,068 in. Feet 1 89 Yard 1 27 4. 6 Rule Inches x 12 12 x 12 1,068 Rule x3 x3 Feet 3 81 1 yd = 234 in. 2 Yard 1 Rule x 36 Inches 36 Yard 1 Rule x 36 Inches 36 6 x 36 216 1 2 x 36 18 1 of 36 is the same as 36 ÷ 2; 36 divides into 2 groups with 18 2 in each group. 1 group of 18 is 18 OR 1 = 18 2 36 216 + 18 = 234 in. 5. 40 in. = 3 1 ft 3 6. 207 in.= 5 Inches Rule 12 ÷ 12 40 ©2012, TESCCC ÷ 12 Feet 1 1 3 ft. 3 05/06/13 3 yd 4 Inches 36 Rule ÷ 36 207 ÷ 36 Yards 1 5 3 4 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Length Notes/Practice Changing Smaller Units to Larger Units Jack used 78 inches of ribbon for the award medallions. How many feet of ribbon did he use? Write down what you are supposed to find out. 78 in. = ____ feet Write down what you know about inches and feet. 12 in. = 1 foot (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that inches are smaller units than feet, so you need to divide to convert.) So, Jack used 6 1 feet of ribbon. 2 Inches Rule/Process Feet 12 ÷ 12 1 78 ÷ 12 6 6 1 or 6 12 2 So, Jack used 6 ft 6 in. of ribbon. Changing Larger Units to Smaller Units Sandra is 4 1 ft tall. How many inches tall is she? 2 1 ft = ____in. meaning 4 ft = _____ in. plus 1 ft =_____ in. 2 2 Write down what you know about feet and inches. 1 ft = 12 in. (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Write down what you are supposed to find out. 4 Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that feet are larger units than inches, so you need to multiply to convert.) Feet 1 4 Rule Process x 12 x 12 Inches Feet 12 1 48 1 2 Rule Process x 12 x 12 Inches 12 1 of 12 is the same as 12 ÷ 2; 12 divides into 2 groups with 2 6 6 in each group. 1 group of 6 is 6 OR 1 = 2 6 12 So, 4 ft = 48 in., and 48 + 6 = 54 in. Sandra is 54 inches tall. ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Length Notes/Practice Complete each of the following by using a table to organize the measurement units. Show your work. Practice: 1. 12 ft = ________in. 3. 89 ft = _________in. 5. 40 in. = _________ft ©2012, TESCCC 2. 27 yd = _________ft 4. 6 1 yd = _________in. 2 6. 207 in.= _________yd 05/06/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Measurement Conversion Graphic ©2012, TESCCC 10/08/12 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Weight Notes/Practice SAMPLE KEY Changing Smaller Units to Larger Units Mr. Garza bought 56 ounces of hamburger meat. How many pounds of hamburger meat did he buy? Write down what you are supposed to find out. 56 oz = ____lb Write down what you know about ounces and pounds. 16 oz = 1 lb (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. Ounces Rule/Process Pounds 16 ÷ 16 1 56 ÷ 16 (Notice that ounces are smaller units than pounds, so you need to divide to convert.) So, Mr. Garza bought 3 1 lb of hamburger meat. 2 3 8 1 or 3 16 2 So, Mr. Garza bought 3 lb 8 oz of hamburger meat. Changing Larger Units to Smaller Units A bag of dog food is 39 1 pounds. How many ounces is the bag of dog food? 4 Write down what you are supposed to find out. 39 1 lb = ____oz 4 Write down what you know about pounds and ounces. 1 lb = 16 oz (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that pounds are larger units than ounces, so you need to multiply to convert.) 1 Rule Process x 16 39 x 16 Pounds Ounces Pounds 16 1 624 1 4 Rule Process x 16 x 16 Ounces 16 4 1 of 16 is the same as 16 ÷ 4; 16 divides into 4 4 groups with 4 in each group. 1 group of 4 is 4 OR 1 = 4 4 16 So, 624 oz + 4 oz = 628 oz. The bag of dog food weighs 628 oz. ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Weight Notes/Practice SAMPLE KEY Complete each of the following by using a table to organize the measurement units. Show your work. Practice: 1. 68 oz = 4 2. 18,000 lb = 9 T 1 lb 4 Ounces Rule Pounds 16 ÷ 16 1 1 4 68 ÷ 16 4 4 416 4R4 16 68 64 4 3. 5 Pounds Rule 2000 ÷ 2000 18,000 ÷ 2000 4 14 lb Tons 1 9 2000 x 9 = 18,000 or 2000 added 9 times = 18,000 4. 3T 975 lb = 2,975 lb 1 lb = 84 oz 4 Pounds Rule Process Ounces 1 x 16 16 Pounds Rule Process Tons Rule 1 x 2000 Ounces 1 x 16 16 1 5 x 16 80 x 16 4 4 1 of 16 is 4; 16 divides into 4 groups with 4 in each = So, 2,000 lb + 975 lb = 2,975 lb 6 41 group. 1 group of 4 is 4 OR 14 4 Pounds 2000 80 + 4 = 84 5. 132 lb = 2,112 oz Pounds 1 132 ©2012, TESCCC Rule x 16 x 16 6. 412 oz = 25 Ounces 16 2112 05/06/13 3 lb 4 Ounces 16 Rule ÷ 16 412 ÷ 16 Pounds 1 25 3 4 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Weight Notes/Practice Changing Smaller Units to Larger Units Mr. Garza bought 56 ounces of hamburger meat. How many pounds of hamburger meat did he buy? Write down what you are supposed to find out. 56 oz = ____lb Write down what you know about ounces and pounds. 16 oz = 1 lb (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. Ounces Rule/Process Pounds 16 ÷ 16 1 56 ÷ 16 (Notice that ounces are smaller units than pounds, so you need to divide to convert.) So, Mr. Garza bought 3 1 lb of hamburger meat. 2 3 8 1 or 3 16 2 So, Mr. Garza bought 3 lb 8 oz of hamburger meat. Changing Larger Units to Smaller Units A bag of dog food is 39 1 pounds. How many ounces is the bag of dog food? 4 Write down what you are supposed to find out. 39 1 lb = ____oz 4 Write down what you know about pounds and ounces. 1 lb = 16 oz (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that pounds are larger units than ounces, so you need to multiply to convert.) 1 Rule Process x 16 39 x 16 Pounds Ounces Pounds 16 1 624 1 4 Rule Process x 16 x 16 Ounces 16 4 1 of 16 is the same as 16 ÷ 4; 16 divides into 4 4 groups with 4 in each group. 1 group of 4 is 4 OR 1 = 4 4 16 So, 624 oz + 4 oz = 628 oz. The bag of dog food weighs 628 oz. ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Weight Notes/Practice Complete each of the following by using a table to organize the measurement units. Show your work. Practice: 1. 68 oz = _________ lb 2. 18,000 1b = _________T 1 lb = _________oz 4 4. 3T 975 lb = _________lb 3. 5 5. 132 lb = _________oz ©2012, TESCCC 6. 412 oz = _________lb 05/06/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 What’s My Capacity? Recording Sheet KEY Use your containers and the STAAR Grade 5 Mathematics Reference Materials to determine each of the following units of capacity. Show your work. 1 gallon = 8 cup(s) 2 (1) 1 1 cup = pint(s) 2 (11) (2) 1 pint = 2 cup(s) (12) 4 pints = 2 quart(s) (3) 1 quart = 2 pint(s) (13) 3 pints = 1 (4) 1 quart = 4 cup(s) (5) 2 quarts = 8 cup(s) (14) 6 pints = 3 gallon(s) 4 (15) 3 quarts = (6) (7) (8) (9) 1 quart(s) 2 3 gallon(s) 4 1 gallon = 4 quart(s) (16) 2 1 pints = 5 cup(s) 2 (17) 4 1 pints = 9 cup(s) 2 (18) 3 1 quarts = 7 pint(s) 2 1 gallon = 2 quart(s) 2 1 gallon = 8 pint(s) 1 gallon = 4 pint(s) 2 (10) 1 gallon = 16 cup(s) ©2012, TESCCC (19) 8 pints = 1 gallon(s) (20) 15 cups = 7 04/29/13 1 pint(s) 2 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 What’s My Capacity? Recording Sheet Use your containers and the STAAR Grade 5 Mathematics Reference Materials to determine each of the following units of capacity. Show your work. (11) 1 gallon = _______cup(s) 2 (1) 1 cup = ________pint(s) (2) 1 pint = ________ cup(s) (3) 1 quart = ________pint(s) (4) 1 quart = ________cup(s) (14) 6 pints = ______gallon(s) (5) 2 quarts =_______cup(s) (15) 3 quarts =______gallon(s) (6) 1 gallon =______ quart(s) (7) 1 gallon =______quart(s) 2 (8) (9) (12) 4 pints = _______quart(s) (13) 3 pints = _______quart(s) (16) 2 1 pints = ______cup(s) 2 (17) 4 1 pints = ______cup(s) 2 (18) 3 1 quarts = _____pint(s) 2 1 gallon = _______pint(s) 1 gallon = _______pint(s) 2 (10) 1 gallon = _______cup(s) ©2012, TESCCC (19) 8 pints = ______gallon(s) (20) 15 cups = ______pint(s) 04/29/13 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Gallon Graphic Organizer ©2012, TESCCC 10/08/12 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Capacity Notes/Practice SAMPLE KEY Changing Smaller Units to Larger Units A baker has 115 quarts of blueberries for muffins. How many gallons of blueberries does she have? Write down what you are supposed to find out. 115 qt = ____gal. Write down what you know about quarts and gallons. 4 qt = 1 gal. (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that quarts are smaller units than gallons, so you need to divide to convert.) Quarts Rule/Process Gallons 4 ÷4 1 115 ÷4 28 3 4 Example 2: 28 R 3 4 115 8 35 32 3 So, the baker had 3 3 gallons of blueberries. 4 3 gal. 3 qt So, the baker had 3 gal. 3 qt of blueberries. Changing Larger Units to Smaller Units Sandra made 16 1 gal. of lemonade. How many pints did she make? 4 Write down what you are supposed to find out. 16 1 gal. = ____pt 4 Write down what you know about gallons and quarts. 1 gal. = 8 pt (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that gallons are larger units than quarts, so you need multiply to convert.) 1 Rule Process x8 16 x8 Gallons Pints Gallons 8 1 128 1 4 Rule Process x8 x8 Pints 8 2 1 of 8 is the same as 8 ÷ 4; 8 divides into 4 4 groups with 2 in each group. 1 group of 2 is 2 OR 1 = 2 4 8 So, 16 gal. = 128 pt, and 128 + 2 = 130 pt. Sandra made 130 pints of lemonade. ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Capacity Notes/Practice SAMPLE KEY Complete each of the following by using a table to organize the measurement units. Show your work. Practice: 1. 574 pt = 287 qt 2. 52 fl oz = 6 Pints 2 574 Rule ÷2 ÷2 1 c 2 Fluid Ounces 8 Quarts 1 287 52 8 3. 7 c 4 fl oz = 60 fl oz Cups Rule 1 7 x8 x8 Fluid Ounces 8 56 1 1 6 2 6 84 6R4 52 48 4 6 12 c Rule x4 x4 Quarts 4 148 So, 148 qt + 3 qt = 151 qt 1 gal. = 2788 c 4 6. 280 c = 17 Rule Cups Gallons Rule Cups 1 x 16 16 1 x 16 16 2784 1 4 x 16 4 x 16 ÷8 ÷8 Gallons 1 37 Gallons 174 Cups 4. 37 gal. 3 qt = 151 qt 56 + 4 = 60 fl oz 5. 174 Rule 1 of 16 is the same as 16 ÷ 4; 16 divides into 4 groups with 4 4 in each group. 1 group of 4 is 4 OR 1 = 4 4 16 1 gal. 2 Cups 16 Rule ÷ 16 280 ÷ 16 Gallons 1 17 1 2 2784 + 4 = 2788 c ©2012, TESCCC 05/06/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Capacity Notes/Practice Changing Smaller Units to Larger Units A baker has 115 quarts of blueberries for muffins. How many gallons of blueberries does she have? Write down what you are supposed to find out. 115 qt = ____gal. Write down what you know about quarts and gallons. 4 qt = 1 gal. (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that quarts are smaller units than gallons, so you need to divide to convert.) Quarts Rule/Process Gallons 4 ÷4 1 115 ÷4 28 3 4 Example 2: 28 R 3 4 115 8 35 32 3 So, the baker had 3 3 gallons of blueberries. 4 3 gal. 3 qt So, the baker had 3 gal. 3 qt of blueberries. Changing Larger Units to Smaller Units Sandra made 16 1 gal. of lemonade. How many pints did she make? 4 Write down what you are supposed to find out. 16 1 gal. = ____pt 4 Write down what you know about gallons and quarts. 1 gal. = 8 pt (You can get this information from the STAAR Grade 5 Mathematics Reference Materials.) Use a table to organize the information and determine the rule or process to convert the measurement units. (Notice that gallons are larger units than quarts, so you need multiply to convert.) 1 Rule Process x8 16 x8 Gallons Pints Gallons 8 1 128 1 4 Rule Process x8 x8 Pints 8 2 1 of 8 is the same as 8 ÷ 4; 8 divides into 4 4 groups with 2 in each group. 1 group of 2 is 2 OR 1 = 2 4 8 So, 16 gal. = 128 pt, and 128 + 2 = 130 pt. Sandra made 130 pints of lemonade. ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Converting Customary Units of Capacity Notes/Practice Complete each of the following by using a table to organize the measurement units. Show your work. Practice: 1. 574 pt = _________qt 2. 52 fl oz = __________c 3. 7 c 4 fl oz = __________fl oz 4. 37 gal 3 qt = __________ qt 5. 174 1 gal. = __________ c 4 ©2012, TESCCC 6. 280 c = __________gal. 05/06/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 What’s My Measure? Activity Cards (NOTE: Answers are intentionally left on the cards. See handout: What’s My Measure? Directions.) How many ounces are in 6 pounds 5 ounces? How many fluid ounces are in 3 quarts 1 cup? 101 oz 104 fl oz How many fluid ounces are in 4 quarts? How many inches are in 9 feet 5 inches? 128 fl oz 113 in. ©2012, TESCCC 10/08/12 page 1 of 4 Grade 5 Mathematics Unit: 09 Lesson: 01 What’s My Measure? Activity Cards How many yards are in 72 inches? How many inches are in 25 yards? 2 yd 900 in. How many feet are in 3 miles? How many pounds 1 are in 1 tons? 2 15,840 ft 3000 lb ©2012, TESCCC 10/08/12 page 2 of 4 Grade 5 Mathematics Unit: 09 Lesson: 01 What’s My Measure? Activity Cards How many ounces are in 5 pounds? How many gallons are in 5 quarts? 80 oz 1 1 gal. 4 How many cups are How many quarts are in 16 pints? in 50 gallons? 32 c ©2012, TESCCC 200 qt 10/08/12 page 3 of 4 Grade 5 Mathematics Unit: 09 Lesson: 01 What’s My Measure? Activity Cards How many cups are 1 in 6 pints? 2 How many yards are in 2 miles 12 feet? 3,524 yards 13 c How many fluid ounces are in 4 cups? How many tons are in 9000 pounds? 4 32 fl oz ©2012, TESCCC 10/08/12 1 T 2 page 4 of 4 Grade 5 Mathematics Unit: 09 Lesson: 01 What’s My Measure? Directions Directions: Students shuffle the What’s My Measure? cards and place them face down in a pile. Player 1 (determined by playing rock-paper-scissors) draws a card from the pile and reads the question aloud. Player 2 is not allowed to look at the card, but the card can be read as many times as needed. Player 2 calculates the answer and answers the question. Player 1 checks the answer at the bottom of the card, announces whether Player 2 is correct, and then shows the card with the answer. If Player 2 is correct, he/she gets to keep the card. If he/she is incorrect, the card is discarded. Players then switch roles, and it is Player 2’s turn to select a card from the pile. Play continues until all cards have been selected or time is called. The winner is the player who has the most cards at the end of the game. ©2012, TESCCC 10/08/12 page 1 of 1 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Measurement Practice SAMPLE KEY Solve each problem. Problem: Ginny cut a 5 foot 4 inch piece of ribbon. Then she cut a piece of ribbon that is twice that length. How many inches of ribbon did Ginny cut? Understand the problem/plan: What are you trying to find? the number of inches of ribbon Ginny cut What do you know? She cut 5 ft 4 in. and another piece twice that length. Table: Complete this table to show your measurement conversion. Explain your process. First, convert feet to inches Feet Process Inches 1 x 12 12 5 x 12 60 Next, add any additional inches from the problem. Solve: 5 ft = 60 inches; 60 + 4 = 64 inches for the first piece of ribbon cut. Twice 64 = 64 x 2 = 128 inches of ribbon cut. 128 inches + 64 inches = 192 inches Problem: Carmen bought 20 apples to make cider. If each apple weighs 4 ounces, how many pounds of apples did she buy? Understand the problem/plan: What are you trying to find? the number of pounds of apples Carmen bought What do you know? She bought 20 apples, and they weigh 4 ounces each. Table: Complete this table to show your measurement conversion. Explain your process. 20 apples x 4 ounces each = 80 ounces Then, convert ounces to pounds. Ounces Process Pounds 16 ÷ 16 1 80 ÷ 16 5 Solve: 80 ounces of apples ÷ 16 = 5 pounds of apples ©2012, TESCCC 05/06/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Measurement Practice SAMPLE KEY Solve each problem. Problem: Deidre, Christine, and Jeremy all made lemonade for the party. Deidre made 3 gallons, Christine made 24 cups, and Jeremy made 5 quarts. How many cups of lemonade did Deidre, Christine, and Jeremy make? Understand the problem/plan: What are you trying to find? the number of cups of lemonade Deidre, Christine, and Jeremy made What do you know? Deidre made 3 gallons, Christine made 24 cups, and Jeremy made 5 quarts. Explain your process showing all conversions. Solve: There are 16 cups in 1 gallon. So, 3 x 16 = 48 cups in 3 gallons. Christine made 24 cups. There are 4 cups in a quart. So, 5 x 4 = 20 cups in 5 quarts. Deidre, Christine, and Jeremy made 48 + 24 + 20 = 92 cups of lemonade. Solve each problem. Problem: Scott threw the football 36 yards 2 feet. Erick threw the football 942 inches. Who threw the football the farthest? Explain your process. Understand the problem/plan: What are you trying to find? who threw the ball the farthest What do you know? Scott threw the football 36 yards 2 feet and Erick threw the football 942 inches Explain your process showing all conversions. 78 R 6 12 942 84 102 96 6 6 7812 ft 1 78 2 ft Solve: Since 1 yard is 3 feet, 36 x 3 = 108 feet. 108 = 2 = 110 feet. Scott threw the football 110 feet. Since there are 12 inches in 1 foot, 942 ÷ 12 = 78 feet 6 inches. Since 6 inches is half of 12 inches, Erick threw the football 78 1 feet. 2 Therefore, Scott threw the football the farthest. ©2012, TESCCC 05/06/13 page 2 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Measurement Practice Solve each problem. Problem: Ginny cut a 5 foot 4 inch piece of ribbon. Then she cut a piece of ribbon that is twice that length. How many inches of ribbon did Ginny cut? Understand the problem/plan: What are you trying to find? What do you know? Table: Complete this table to show your measurement conversion. Explain your process. Solve: Problem: Carmen bought 20 apples to make cider. If each apple weighs 4 ounces, how many pounds of apples did she buy? Understand the problem/plan: What are you trying to find? What do you know? Table: Complete this table to show your measurement conversion. Explain your process. Solve: ©2012, TESCCC 05/07/13 page 1 of 2 Grade 5 Mathematics Unit: 09 Lesson: 01 Customary Measurement Practice Solve each problem. Problem: Deidre, Christine, and Jeremy all made lemonade for the party. Deidre made 3 gallons, Christine made 24 cups, and Jeremy made 5 quarts. How many cups of lemonade did Deidre, Christine, and Jeremy make? Understand the problem/plan: What are you trying to find? What do you know? Explain your process showing all conversions. Solve: Solve each problem. Problem: Scott threw the football 36 yards 2 feet. Erick threw the football 942 inches. Who threw the football the farthest? Explain your process. Understand the problem/plan: What are you trying to find? What do you know? Explain your process showing all conversions. Solve: ©2012, TESCCC 05/07/13 page 2 of 2
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