E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass Abstract This required lesson provides the background information necessary for students to understand how to measure mass. Within this lesson, there are two options for activities to give each student hands-on experience with this skill. The first option is to have students complete the activity included here. The second option allows the instructor to choose an activity from the list of approved hands-on activities contained in lessons throughout the STARBASE curriculum. Time: 30 Minutes Objectives: Mathematics Operations & Applications: B. Measurement 1. The learner will apply appropriate standard units and tools to measure length. 2. The learner will apply appropriate standard units and tools to measure liquid volume. 3. The learner will apply appropriate standard units and tools to measure mass. Lesson Plan Appendices Basic Measurement: Mass* Objective Met 1 2 3 l * This lesson and the chosen hands-on activity is required as an introduction to measuring mass. 1 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass Instructor Materials • 1 Triple beam balance • 2 Objects of different weight (you may use miscellaneous objects from the classroom) • “Introduction to Measurement” PowerPoint presentation (optional) The activity included here utilizes the triple beam balance. Adjust the steps if you choose to use a digital scale instead. Student Materials Per group of 4 students • 2 Triple beam balances or digital scales • 2 Sets of 4 metal samples of different masses with the same volume (available in sets from science supply catalogs) • Scratch paper Pertinent Information »» Required Lesson: This lesson is a required lesson and must be completed as part of your curriculum instruction. »» Activity Planning: To successfully complete this required lesson, students must be given a handson opportunity to measure mass. This lesson plan contains one approved hands-on activity. However, also included here is a list of approved hands-on measuring mass activities to choose from found in lesson plans throughout the STARBASE curriculum. 2 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass Instructor Background Information: Key Vocabulary Gram—Standard metric unit used to measure the mass of an object. Mass—The amount of matter in an object, independent of gravity. Mass is different from weight of an object. Weight is the gravitational effect on a mass. Metric System—Universal system of measurement used by scientist all over the world; based on 10 and powers of 10. Triple Beam Balance— An instrument that measures the mass of an object by using a set of three sliding weights to balance the mass on a pan. 3 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass The Metric System The metric system is a universal system of measurement used by most of the world. To have a single unit of measurement for a physical quantity is one goal of the metric system. For example, the standard metric unit for measuring mass is gram. The standard metric unit for measuring length is meter. The standard metric unit for measuring liquid volume is liter, and the standard metric unit for measuring temperature is Celsius. This makes it possible to communicate with others who do not share a common language. Another important reason for using the metric system relates to conversion factors. Conversion factors are no longer needed when making calculations with physical quantities. All lengths and distances, for example, are measured in meters, or thousandths of a meter (millimeters), or thousands of meters (kilometer), and so on. There is no need for different units with different conversion factors, such as inches, feet, yards, miles, etc. The metric system is based on 10 and powers of 10, so that one can convert by simply moving the decimal place: 1.234 meters is 1234 millimeters, 0.001234 kilometers, etc. A standard set of prefixes in powers of ten are used to derive larger and smaller units from the base units. The use of fractions, such as 2/7 of a meter, is not prohibited, but uncommon, as it is generally not necessary, which is another benefit to using the metric system. Mass v. Weight The mass of an object is commonly referred to as weight; however, this is not the case. There is a difference between the mass and the weight of an object. Mass is the measure of the amount of matter in a body. Whereas, weight is the measure of the amount of force acting on a mass due to the acceleration of gravity. We use weight as a measurement to indicate mass. But, mass is the amount of matter in a material, and weight is a measure of force acting on that material. 4 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass Instructor Preparation: Activity Preparation üü Familiarize yourself with the operating instructions for the triple beam balance or scale chosen for the activity. üü Prepare the measuring mass demonstration by positioning all the materials on a display table at the front of the class. üü For the hands-on activity, distribute the materials to each table. 5 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass Lesson: Complete this introduction to the Metric System with the first Basic Measurement lesson plan you introduce. For the remaining two Basic Measurement lesson plans, start at Step 5 to review the tools and measurements that relate to the associated lesson. Metric System Introduction 1. Discuss the English system of measurement by posing several questions to the class to see if they can determine the answers. Write their responses on the board. If they can’t answer, write the answers. a. Ask: How many centimeters are in an inch? (2.54) b. Ask: How many inches are in a foot? (12) c. Ask: How many feet are in a mile? (5,280) d. Ask: How many cups are in a pint? (2) e. Ask: How many pints are in a quart? (2) Depending upon their science background, some students may or may not have heard of the metric system. Wait for a few seconds, and if no student responds, explain how the systems differ. You may want to show the images and captions in the PowerPoint presentation for this lesson as you discuss the metric system. f. Ask: How many quarts are in a gallon? (4) 2. Ask: Aren’t those a lot of numbers to remember? How is the metric system different from the English system? (The metric system is different from the English system because there are not as many different numbers to remember. The metric system is based on 10 and powers of 10.) 3. Have students complete the top line of their “Metric Units and Tools” activity log. 4. Metric Stick Example: On this meter stick, I have one meter, 10 decimeters, 100 centimeters, and 1,000 millimeters. All I have to remember is to multiply by 10. Scientists, technologists, engineers, and mathematicians all over the world use the metric system. If I travel to China but don’t speak Chinese, I can still communicate my measurements to them because we all use the same system. 5. Go over the metric system page in the activity log. Have students fill in the standard metric unit and the tool used to measure mass. Also cover the prefixes for each unit of measure (see the activity log). Introduction to Measuring Mass 6. Demonstrate how to use a triple beam balance or digital scale. 7. Choose two objects from the classroom to use as examples. 8. Weigh each one separately. 6 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass 9. Ask: What is the difference between mass and weight? (The mass of an object is the amount of matter [stuff] in that object, whereas the weight of the object is the measured gravitational pull on that object.) 10. Ask: Which object weighs more? (The one with more mass.) 11. Write the weights on the chosen presentation board. 12. Ask: Which one has more mass? (The one with the most weight.) 13. Choose from one of the two possible options below to provide students with a hands-on opportunity to measure mass. Option 1: Measuring Mass Activity 14. Overview the mission for the students. Your group is on the DoD Satellite Station, and you must complete some repairs. You have received four different metals to use while making the repairs, and you must determine the identity of these metals in order to use them properly. 15. Ask: What is the metric measurement unit for mass? (Gram.) 16. Give examples of one gram: paper clip, M&M, etc. 17. Explain to students that they will be measuring mass using a triple beam balance (or digital scale). The students will measure the mass of each of the unknown metals to determine the identity of the metals based on a table of prerecorded masses found in their activity logs. 18. Each student will measure one of the samples using the steps below. A. Remind students to ensure there is nothing on the pan of the balance and all the sliders are set at zero. The two horizontal lines at the far right of the scale should line up with one another. B. Working in pairs, direct the first student to place the metal sample on the plate. The beam should go up. C. Begin with the heaviest slider, the one in the middle which measures 100s of grams. Move the slider over one notch at a time, letting go at each 100 gram stop. When the beam drops below the zero line, move the slider back 7 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass to the previous stop, and rest it in the notch. Move to the next smaller slider. Remind students to be sure the slider is always in a notch. Moving the tenths of grams is easier to move with an eraser or pencil tip. D. Repeat the previous step with the farthest slider measuring 10s of grams. E. Finally, repeat the process with the nearest slider measuring grams and 10ths of grams. F. Add the numbers together from each of the sliders to obtain the total mass of the sample. G. Students should share the measurement with their group members. Have them all record their answers in their activity logs. H. Have students repeat steps A-G, using a different metal and giving their partner a turn. 19. Direct students, as a group, to use the values in the blue table at the top of their activity logs to identify each of the unknown samples. Review findings as a class. Option 2: Approved Hands-On Measuring Mass Activities in Other Lesson Plans There are activities throughout the approved STARBASE curriculum that can be utilized to meet the Basic Measurement: Mass hands-on activity requirement. They are outlined in the table below. Guidelines to keep in mind: A. Measuring mass activities will be designated in the lesson plans below with the symbol in Figure 1. Figure 1: Mass Activity Symbol B. In order to satisfy the hands-on requirement, each student must be given the opportunity to conduct the applicable measurement activity. C. The information presented in the Introduction to Measuring Mass section of this lesson plan must be introduced before the chosen activity. This provides students the context and direction necessary for the activity to be effective. 8 E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass Core Curriculum Area Lesson Plan Title Introduction to Rocketry: Appendix A: Straw Rockets Introduction to Rocketry: Appendix B: Water Rockets Introduction to Rocketry: Appendix C: CO2 Rocket Dragsters Physics: A. Newton’s Three Laws of Motion Introduction to Rocketry: Appendix D: Solid Propellent Rockets Introduction to Newton’s 2nd Law: Appendix A: Newton Launcher Introduction to Newton’s 2nd Law: Appendix B: Trebuchet Introduction to Newton’s 2nd Law: Appendix C: Impact Cars Physics: B. Fluid Mechanics & Aerodynamics Bernoulli’s Principal Experiments Chemistry Sciences: B. Physical and Chemical Changes Intro to Physical and Chemical Changes: Appendix B: Blackbird Thermal Expansion Chemistry Sciences: C. Atmospheric Properties Fluid Investigations Technology: A. Innovations Nanotechnology: Miniscule Matters Engineering: A. Engineering Design Process Introduction to EDP: Appendix A: Eggbert Mathematics Operations & Applications: B. Measurement Engineering Measurement Training Mathematics Operations & Applications: D. Data Analysis Pop! Goes the Fizz 9 Basic Measurement: Mass Assessment Suggested Final Assessment Questions 1. What is the difference between mass and weight? 2. Why is the metric system easier to use than the English system? 3. Do you think the United States should change to the metric system? Why or why not? 10 Basic Measurement: Mass Assessment Suggested Final Assessment Questions Knowledge 1. What is the difference between mass and weight? Answer: Mass is the measure of the amount of matter in an object. The mass of the object is the same everywhere, whether on Earth, Mars, or floating in space. Weight is the amount of force gravity has on an object. Weight changes depending on where it’s measured. The weight of a baseball is different on Earth than it is on the moon because the moon has less gravitational pull. Comprehension 2. Why is the metric system easier to use than the English system? Possible answer: The metric system is based on 10 and the powers of 10. Evaluation 3. Do you think the United States should change to the metric system? Why or why not? Possible answer: Answers will vary. 11 Activity Log Basic Measurement: Mass The Metric System is based on _________________ and powers of ___________. MASS LENGTH or DISTANCE LIQUID VOLUME Standard Metric Unit: Standard Metric Unit: Standard Metric Unit: ________ ________ ________ Tool Used: Tool Used: Tool Used: ________ ________ ________ Units and Prefixes P re f i xes milli (÷ 1000) centi (÷ 100) Un it s deci (÷ 10) gram, meter, liter Pre fixe s deka (X 10) hecto (X 100) kilo (X 1000) Activity Log Basic Measurement: Mass Identifying the Samples Use these known masses to identify each metal sample. MISSION: Your group is on the DoD Satellite Station, and you must complete some repairs. You have received four different metals to use while making the repairs, and you must determine the identity of these metals in order to use them properly. Work in pairs. While your partner is massing one sample, watch to make sure the measurement is accurate. Share results with your group to complete all four samples. Aluminum: Steel: Brass: Copper: Class Example: Objects in Classroom Triple Beam Balance Readings Hundreds Beam _____ _____ _____ . 0 Tens Beam + Grams Beam + Total Mass = _____ _____ . 0 g g _____ . ________ g _____ _____ _____ . ________ g Identifying an Object by Mass Mass of Sample A: g Identify of Sample A: Mass of Sample B: g Identify of Sample B: Mass of Sample C: g Identify of Sample C: Mass of Sample D: g Identify of Sample D: 21 g 62 g 68 g 71 g Activity Log Basic Measurement: Mass 10 10 The Metric System is based on _________________ and powers of ___________. MASS LENGTH or DISTANCE LIQUID VOLUME Standard Metric Unit: Standard Metric Unit: Standard Metric Unit: Gram ________ Meter ________ Liter ________ Tool Used: Tool Used: Tool Used: ________ Triple beam balance ________ Ruler or meter stick Graduated cylinder ________ Units and Prefixes P re f i xes milli (÷ 1000) centi (÷ 100) Un it s deci (÷ 10) gram, meter, liter Pre fixe s deka (X 10) hecto (X 100) kilo (X 1000) Activity Log Basic Measurement: Mass MISSION: Your group is on the DoD Satellite Station, and you must complete some repairs. You have received four different metals to use while making the repairs, and you must determine the identity of these metals in order to use them properly. Work in pairs. While your partner is massing one sample, watch to make sure the measurement is accurate. Share results with your group to complete all four samples. Identifying the Samples Use these known masses to identify each metal sample. Aluminum: Steel: Brass: Copper: Class Example: Objects in Classroom Triple Beam Balance Readings Hundreds Beam _____ _____ _____ . 0 Tens Beam + Grams Beam + Total Mass = _____ _____ . 0 g g _____ . ________ g _____ _____ _____ . ________ g Identifying an Object by Mass Mass of Sample A: 68 g Identify of Sample A: Brass Mass of Sample B: 21.5 g Identify of Sample B: Aluminum Mass of Sample C: 71 g Identify of Sample C: Copper Mass of Sample D: 62 g Identify of Sample D: Steel 21 g 62 g 68 g 71 g E 3.1.1.5. Mathematics Operations & Applications: B. Measurement Lesson Plan: Basic Measurement: Mass References: The Science Spot: Science Classroom. (n.d.). Retrieved from http://sciencespot.net/Pages/classmetric.html U.S. Metric Association (USMA). (n.d.). Retrieved from http://lamar.colostate.edu/~hillger/ 16
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