Lab: Density Learning Targets: • I can obtain measurements with a triple beam balance and a graduated cylinder. • I can use graphical data analysis techniques to demonstrate that density is the slope of the line on Mass vs. Volume line graph. • I can write a concise, accurate lab report to explain my findings (do not include this learning target in your lab report). Vocabulary cubic centimeter mass meniscus volume density mean milliliters accuracy grams median mode precision Purpose: By finding the mass and volume of a group of identical paper clips, the density of a single paper clip can be determined using the formula for density. Equipment: Graduated Cylinders Triple Beam Balance Thread Paper Clips Calculator Water Graph paper Procedure: Mass of a paper clip. By using multiples of six (6) clips measure the mass of each collection of clips. Remember that each member of the group must measure each collection of clips. As a group you should reach a consensus on each value. Keep track of your significant digits and place units on every measurement! Be certain that you only use LARGE paper clips. You need to create a copy of this chart on graph paper to record your data. Number of Clips 6 18 24 36 48 60 Reader #1 Reader #2 Reader #3 Average Mass* *Note: You are reading the mass measurements together to 1st – learn how to read a triple beam balance 2nd – build a consensus regarding the most accurate reading Therefore, you may not need to calculate the ‘average’. By coming to a consensus, you should all agree on the mass reading. Volume of a paper clip. By using multiples of six (6) clips measure the volume of a collection of clips. Also, note that the all clips must be TOTALLY submerged before you read the volume of water. Since your graduated cylinders are marked off in 1 ml increments, you can only estimate one (1) decimal place. Remember that each member of the group must measure each collection of clips. Also, remember to keep track of your significant digits and to place units on every measurement! Link the paper clips into chains of six. Create a loop in a length of thread; hang the clips from the loop. Completely submerge the sets of 6 paper clips at a time in the water and record the new water level. Take a before and after photo for one of your volume measurements. DO NOT DROP THE PAPER CLIPS INTO THE WATER. Always suspend them from the loop of thread. Then, subtract the original water level from the new water level to determine the amount of water displaced by each collection of paper clips. After each group member has made his/her measurement, calculate the average change in water volume for each group of clips. ALERT: Since 1 ml of water is displaced by each cm3 of solid paper clips, this average value needs to be expressed in cm3. Original water levels: Start as close to 85.0 ml as possible. You need to create a copy of this chart on graph paper to record your data. Number of Clips Reader #1 original water _____ ml new water net water level displaced Reader #2 original water _____ ml new water net water level displaced Average Volume of Clips 6 18 24 36 48 60 Graphical Analysis. Graph your data by hand. Neatness is vital on graphs to insure the data is represented accurately. You will have 10 coordinate pairs to include on your graph as ( volume , mass ). Create a data table for the coordinates. Be certain to follow the graphing basics in your BOOK OF PHYSICS. When your graph is finished, be certain that any points that are obviously out-of-line have been rechecked for accuracy -- either in measurement, or for a mistake in graphing. Write the equation for a line: mass = (density)(volume) Your group’s density estimate for the paper clip is represented by the value of the slope of the line on your graph Your DENSITY LAB report: Your grade on this lab will be based on the quality of your final report. As you write your report, imagine that the reader has not done this lab and does not know what you know about density. Your report should inform the reader about the lab and explain the concept of density. This report must include: • A brief introduction of the lab (approximately 50 -100 words) o Your introduction should include the lab’s purpose followed by a brief description of the way you conducted the lab. • Photos or drawings of the mass and volume measurements o Be sure to include brief captions on the photos to explain to the reader what the photos show. • Data tables (three of these) • Mass vs. Volume Graph • Density calculation from graph slope. • Conclusion: Evaluation the quality of your group’s data (see notes that follow). With the exception of the first and last bullets, you should have complete all of the items mentioned above as we completed the lab. Notes on Conclusion (the last bullet point) : To evaluate the quality of your group’s data, you will compare your paper clip density to the ‘accepted value’ provided in class. You need to discuss the accuracy and precision of your group’s data. Refer to your BOP for a refresher on accuracy and precision. NOTE: Remember that you are in a Science class. It is not appropriate to say ‘I think our data was really precise because we were careful and did a good job.’ In Science, you must prove your claim by using data (numbers) to back it up. Density Lab: Scoring Rubric Section Introduction __/15 Images/photos __/10 Data tables __/15 Graph Grading parameters Purpose stated accurately; description informs reader of the steps to complete the lab and integrates the learning targets into the explanation of the steps. 11-15 Both photos are included and depict mass & volume measurements; captions provide reader with information not included in the intro. 9 -10 Three data tables include measured values; units; sample calculation (where applicable); Data tables are accurately titled. 11-15 All elements of a quality graph are included (BOP page 11); coordinates labeled __/20 Density (using slope calculation) __/10 Conclusion __/15 Scientific vocabulary __/15 Comments: Purpose stated accurately; description informs reader of most of the steps to complete the lab and mentions learning targets yet does not tie learning targets to the data collected. 6-10 Both photos are included and depict mass & volume measurements; captions are accurate. 5-8 Three data tables include measured values; units. Data tables are accurately titled. 6-10 Minor errors on the graph; Most elements of a quality graph are included (BOP page 11); coordinates labeled 20 Density equation stated; slope calculation completed with work shown; data points are based on the ‘best fit’ line. UNITS ARE ACCURATE. 16 - 19 Density equation stated; slope calculation omits work shown; data points are not based on the ‘best fit’ line. UNITS ARE ACCURATE. Lab’s purpose is restated. Group’s density stated and compared with the ‘accepted value’ provided in class. Accuracy and Precision are addressed by citing data. 11-15 Student’s use of scientific vocabulary was exceptional and enhanced the overall report. Group’s density stated and compared with the ‘accepted value’ provided in class. Accuracy and Precision are addressed by citing data. 11-15 6-10 Student’s use of scientific vocabulary was accurate and clarified the overall report. 6-10 Purpose altered or stated inaccurately; lab description incomplete; learning targets incomplete or unrelated to data collection. 1-5 Purpose omitted or altered; lab description unclear or omitted; learning targets not included or unclear 0 Photos or captions omitted. 0 Two of the three data tables included with measured values; units. Data tables omitted. 1-5 0 Major errors on the Graph omitted or graph; major graphing errors that elements of a quality misrepresent the graph are omitted data (BOP page 11). 1 -5 0 One or more omitted or inaccurate: Density equation stated; slope calculation; data points are based on the ‘best fit’ line. UNITS ARE ACCURATE. Two or more omitted or inaccurate: Lab’s purpose is restated. Group’s density stated and compared with the ‘accepted value’ provided in class. Accuracy and Precision are addressed by citing data. 0 Student’s use of scientific vocabulary was attempted, yet clarity was adversely affected. 1-5 Student did not consistently use scientific vocabulary 0
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