Describing Variability of Organisms – Grade Eight Ohio Standards Connection: Life Sciences Benchmark B Describe the characteristics of an organism in terms of a combination of inherited traits and recognize reproduction as a characteristic of living organisms essential to the continuation of the species. Indicator 3 Explain how variations in structure, behavior or physiology allow some organisms to enhance their reproductive success and survival in a particular environment. Scientific Inquiry Benchmark B Analyze and interpret data from scientific investigations using appropriate mathematical skills in order to draw valid conclusions. Indicator 3 Read, construct and interpret data in various forms produced by self and others in both written and oral form (e.g., tables, charts, maps, graphs, diagrams and symbols). Lesson Summary: This lesson uses life-science content to help students understand the difference between observations and predictions. After practicing observations and predictions in the pre-assessment, students will explore variability in a real sample of organisms. Using measurement tools, student groups will construct histograms demonstrating variability in small samples of organisms. Students then will compare their histograms and observe how consolidating their data into one large data set affects the frequency distribution. Students then will predict how the frequency distribution might change given different sets of environmental pressures. Estimated Duration: Three hours Commentary: This lesson helps students understand the nature of observation, data collection and prediction using real organisms. Collecting real data helps students take ownership of their own learning. Classroom discussion and comparison of results among students promotes independent thinking and helps students construct appropriate understandings of concepts. Pre-Assessment: Distribute copies of Attachment A, Pre-Assessment and Attachment B, Pre-Assessment Plates. Scoring Guidelines: See Attachment C, Pre-Assessment Answers for guidelines to assessing student work. Post-Assessment: Distribute copies of Attachment D, Post-Assessment. Each student will also require two sheets of graph paper. 1 Describing Variability of Organisms – Grade Eight Ohio Standards Connection: Scientific Ways of Knowing Benchmark A Use skills of scientific inquiry processes (e.g. hypothesis, record keeping, description and explanation). Indicator 1 Identify the difference between description (e.g., observation and summary) and explanation (e.g., inference, prediction, significance and importance). Scoring Guidelines: Use Attachment E, Post-Assessment Answers, to score student work. Instructional Procedures: Engage 1. Discuss definitions from the Pre-Assessment, noting the relationship between description and explanation. 2. Discuss the variability of structures of organisms in the Pre-Assessment. 3. Discuss how looking at structures can tell you a lot about how the organisms live and the kinds of environmental requirements they have. 4. Note to students that their Pre-Assessment compared differences between two different species of animals, but that a lot of variability can also be seen between individuals within a species, too. 5. Have students use the Think, Pair and Share strategy to produce lists of characteristics that are different among students in the classroom. Have students first brainstorm lists of characteristics, then consolidate their lists with a partner; and then share out with the rest of the class. As students share their lists of characteristics with the class, list them on the board. 6. Pose the following questions to the students: Why do people, and other species, have a lot of variability? Why don’t all organisms in a species look the same? Is variability beneficial to a species? Write the last question on the board. This will be a guiding question for this lesson. Explore 7. Collect enough specimens of one plant or animal species so that each student in the classroom has several organisms to observe and describe. Ideally, you will have at least 100 organisms. Instructional Tip: Choose an organism that has a high degree of measurable variability. Use easily obtainable plant products such as peanuts, Brazil nuts, apples, dried beans, bean pods or apples. An easily obtainable and highly variable animal would be the invasive multicolored Asian lady beetle, Harmonia axyridis. The beetles are found in many sizes, exoskeleton colors and numbers of spots. See the Web site for the Ohio State University Extension for more information about this species and how to collect it. 2 Describing Variability of Organisms – Grade Eight Instructional Tip: If collecting fruits or vegetables, some may come from the same plant. In this case, at least some of the variability that your students see is from the environment and not from genetic variability. If at all possible, do not collect samples (e.g., leaves) from the same parent organism, because the purpose of this lesson is to explore heritable variability in a population of organisms. 8. Divide students into teams of four and distribute a container of similarly sized samples to each team. 9. Have each student pick one individual organism and record as much information about it as possible. Tell students that they should be able to pick their organisms back out of a mixture of organisms. Provide tools such as rulers, calipers and balances to help students identify the masses, dimensions and colors of their organisms. 10. Have students return their organisms to the containers and mix them up. Ask students if they can identify their organisms. 11. Impress on students the importance of detailed records and measurements. 12. Ask students to name the characteristics that they recorded for their organisms. List these on the board as they are named. 13. Choose one trait, either a measure of mass or of length, for students to record for their population of organisms. Have the groups measure their traits and record all of their measurements on a piece of paper. Instructional Tip: Instruct students on measuring accurately to a specified level of precision. You will want all students to observe and record comparable measurements that will fit on the same graph. 14. Hand out an overhead to that has a copy of a grid appropriate for graphing each group. Alternatively, you could distribute dry-erase graphing boards. Give overhead or dry-erase pens to each group. 15. Show an example of the histogram (bar graph) they will create on an overhead projector, and demonstrate how they should space their units on the histogram. The x-axis will represent a range of sizes and the y-axis will represent the number of organisms at each size. 16. Ask students to graph their populations. Circulate around the room to make sure they do this correctly. While students finish their histograms, draw large graph axes on the board. You will use this to consolidate the information from students' histograms. 17. Ask a representative from a group to come to the board and draw his/her group's histogram on your axes. Tell the student to put his/her histogram on the overhead projector and shine it on the wall. Repeat with every group. Assuming that the total sample has a high degree of variability, you should see an approximately normal bellshaped distribution with clumping in the middle. 18. Compare the shape of the combined class histogram with the ones that students placed on the overhead. Show the students how each histogram was not a perfect representation of the total population, and that a large number of organisms was needed to get a good 3 Describing Variability of Organisms – Grade Eight picture of the variability present. Explain that as sample sizes increase, one obtains a more accurate representation of the population. Explain 19. Stimulate open-class discussion using the following questions. a. With the histogram on the board, pose the questions: What would happen to this population of organisms if some of them did not survive? What might the graph look like in the future? Help bring this question alive by delivering a story about the organism that your class measured and the environment in which it lives. For example, if your graph is based on lady beetle length, tell students to imagine that a deadly virus is introduced that favors small lady beetles as hosts. Cover up the portion of the histogram that pertains to smaller beetles and ask the students what they think would happen to the population. As another example, if students measured the mass of apples, explain to the students that a native deer population only eats middle-sized apples, so only middle-sized apples benefit from dispersal of their seeds. Cover up the extremely small and extremely large measures on the histogram and ask students what they predict would happen to the population over time. b. Refer to the guiding question posed and written on the board at the beginning of the lesson, "Is variability beneficial to a species?" You may want to pose the question instead as, "What if the organisms that you measured only came in one size, and a predator ate only that one size of organism?" Students should begin to understand that variability helps organisms survive in different environments, as in the lady beetle example above. c. Have the students use Think-Pair-Share strategy to discuss other changes in the environment that could affect the histogram of measurements. 20. On the board or on an overhead, write two columns, one with the heading "observation" and the other with the heading "prediction." Have students volunteer observations and predictions that they considered during this lesson. 21. Proceed to the Post-Assessment. Differentiated Instructional Support: Instruction is differentiated according to learner needs, to help all learners either meet the intent of the specified indicator(s) or, if the indicator is already met, to advance beyond the specified indicator(s). Have students working toward the indicators arrange their organisms on the table so that they make physical models of a bar chart. Have students working beyond the indicators calculate summary statistics of histograms so they can compare them mathematically. 4 Describing Variability of Organisms – Grade Eight Extension: Have students design experiments or tests for the predictions that they made in this lesson. Have students identify highly variable organisms that interest them, and design investigations of their variability and potential advantages of these traits. This could provide science-fair/ science-day topics for student investigation. Homework Options and Home Connections: Have students compare and contrast physical and behavioral traits of dog breeds in their community, and consider how these traits are considered advantageous by breeders. Interdisciplinary Connections: Mathematics Measurement Benchmark E: Estimate and compute various attributes, including length, angle measure, area, surface area and volume, to a specified level of precision. Indicator 3: Use appropriate levels of precision when calculating with measurements. Data Analysis and Probability Benchmark A: Create, interpret and use graphical displays and statistical measures to describe data; e.g., box-and-whisker plots, histograms, scatterplots, measures of center and variability. Indicator 1: Use, create and interpret scatterplots and other types of graphs as appropriate. Benchmark E: Evaluate the validity of claims and predictions that are based on data by examining the appropriateness of the data collection and analysis. Indicator 8: Describe how the relative size of a sample compared to the target population affects the validity of predictions. Materials and Resources: The inclusion of a specific resource in any lesson formulated by the Ohio Department of Education should not be interpreted as an endorsement of that particular resource, or any of its contents, by the Ohio Department of Education. The Ohio Department of Education does not endorse any particular resource. The Web addresses listed are for a given site’s main page, therefore, it may be necessary to search within that site to find the specific information required for a given lesson. Please note that information published on the Internet changes over time, therefore the links provided may no longer contain the specific information related to a given lesson. Teachers are advised to preview all sites before using them with students. For the teacher: Sample of at least 100 organisms, overhead with copy of grid, overhead markers. For the students: sample of at least 100 organisms, overhead with copy of grid, overhead markers, measurement tools (e.g., ruler, balance, caliper). 5 Describing Variability of Organisms – Grade Eight Vocabulary: characteristic description explanation histogram observation prediction sample sample size traits variability Technology Connections: Download images of organisms from the National Oceanic and Atmospheric Administration Photo Library, at http://www.photolib.noaa.gov. Find information about agriculturally important organisms and their life histories, including the Asian lady beetle, from the Ohio State University Extension at http://www.ag.ohio-state.edu. Research Connections: Marzano, Robert J., et al. Classroom Instruction That Works: Research-Based Strategies for Increasing Student Achievement. Alexandria. Association for Supervision and Curriculum Development, 2001. Nonlinguistic representations help students think about and recall knowledge. This includes the following: Creating graphic representations (organizers); Making physical models; Generating mental pictures; Drawing pictures and pictographs; Engaging in kinesthetic activity. Generating and testing hypotheses engages students in one of the most powerful and analytic of cognitive operations. It deepens students’ knowledge and understanding. Any of the following structured tasks can guide students through this process: Systems analysis; Problem solving; Historical investigation; Invention; Experimental inquiry; Decision making. 6 Describing Variability of Organisms – Grade Eight General Tips: At least 100 organisms should be obtained for this exercise, to ensure that students will observe the effects of sample size on population frequency distributions. Use plants or animals that are easily obtainable at the grocery store or in your local environment. This lesson assumes that students have learned how to make precise and accurate measurements. This skill was covered in the Mathematics Measurement Standard, Benchmark D, in the five through seven grade band. Attachments: Attachment A, Pre-Assessment Attachment B, Pre-Assessment Plates Attachment C, Pre-Assessment Answers Attachment D, Post-Assessment Attachment E, Post-Assessment Answers 7 Describing Variability of Organisms – Grade Eight Attachment A Pre-Assessment Name:_____________________________________ Directions: Answer the following questions. 1. Define the word observation- 2. Define the word prediction- 3. Look at plate one and plate two. Make a list of the structures or body parts that each animal has. 4. Describe how these animals are the same and how they are different. 5. Write as many predictions as you can think of about what these organisms do and how their lives differ from each other. For example, do you think that they eat the same thing? 8 Describing Variability of Organisms – Grade Eight Attachment B Pre-Assessment Plates Plate is from the National Oceanic and Atmospheric Administration Photo Library, available at www.photolib.noaa.gov. 9 Describing Variability of Organisms – Grade Eight Plate is from the National Oceanic and Atmospheric Administration Photo Library, available at www.photolib.noaa.gov. 10 Describing Variability of Organisms – Grade Eight Attachment C Pre-Assessment Answers Name:_____________________________________ Directions: Answer the following questions. 1. Define the word observation- Carefully measuring and recording something that will be important for arriving at a judgment. Using the five senses. 2. Define the word prediction- To tell about something that may be unknown, based on observations that have been made. 3. Look at plate one and plate two. Make a list of the structures or body parts that each animal has. Students should list basic body parts such as head, tail, body and fins. They also may list structures such as mouth, eye, gill and scales. 4. Describe how these animals are the same and how they are different. Students should be able to list several differences between these organisms such as placement and size of fins, relative size of eye, external gill openings, mouth shape, nose shape, body armor, tail shape, direction of body flattening, etc. 5. Write as many predictions as you can think of about what these organisms do and how their lives differ from each other. For example, do you think that they eat the same thing? Students should base predictions on the observations they have made. For example, the relatively larger eye of the seahorse implies that it relies more heavily on vision. The nose of the sawfish suggests that it uses it as a weapon or foraging device, and the lack of one on the seahorse implies it does not engage in the same activity. Many other predictions can be made based on the observations. 11 Describing Variability of Organisms – Grade Eight Attachment D Post-Assessment Name: ____________________________________ 1. Define the word observation- 2. Define the word prediction- 3. Write the title "Pennsylvania Black Bear Mass" on the top of one piece of graph paper and write the title "Florida Black Bear Mass" on the top of another piece of graph paper. Make histograms of the two sets of observations shown below on the two sheets of graph paper. Remember to label your axes "mass (kg)" and "number of bears." Pennsylvania Black Bear Mass 66-75 76-85 86-95 Mass (kg) Number of 4 10 20 bears Florida Black Bear Mass 35-45 46-55 Mass (kg) Number of 2 12 bear 4. 96-105 106-115 116-125 126-135 136-145 44 66 34 16 6 56-65 66-75 76-85 86-95 96-105 106-115 30 56 46 28 18 8 Use your Pennsylvania Black Bear Mass histogram to answer the following questions. a. What is the smallest mass for a bear in the Pennsylvania population? ______________ b. What is the largest mass for a bear in the Pennsylvania population? _______________ c. What is the most common mass for a bear in the Pennsylvania population? _________ 5. Use your Florida Black Bear Mass histogram to answer the following questions. a. What is the smallest mass for a bear in the Florida population? _______________ b. What is the largest mass for a bear in the Florida population? ________________ 12 Describing Variability of Organisms – Grade Eight c. What is the most common mass for a bear in the Florida population? _____________ 6. Compare the Pennsylvania and Florida Black Bear histograms to answer the following questions. a. How are the Pennsylvania and Florida bear populations different? b. If you want to see a large black bear, which state should you visit? c. If a population of bears is captured in Florida and transplanted to Pennsylvania, which of the Florida bears do you think might have trouble surviving in Pennsylvania? On what observations do you base this prediction? 13 Describing Variability of Organisms – Grade Eight Attachment E Post-Assessment Answers 1. Define the word observation- Carefully measuring and recording something that will be important for arriving at a judgment. 2. Define the word prediction- To tell about something that may be unknown based on observations that have been made. 3. Write the title "Pennsylvania Black Bear Mass" on the top of one piece of graph paper and write the title "Florida Black Bear Mass" on the top of another piece of graph paper. Make histograms of the two sets of observations shown below on the two sheets of graph paper. Remember to label your axes "mass (kg)" and "number of bears." 14 Describing Variability of Organisms – Grade Eight Attachment E (continued) Post-Assessment Answers 4. Use your Pennsylvania Black Bear Mass histogram to answer the following questions. a. What is the smallest mass for a bear in the Pennsylvania population? ___66 kg_____ b. What is the largest mass for a bear in the Pennsylvania population? ____145 kg____ c. What is the most common mass for a bear in the Pennsylvania population? 106-115 kg 5. Use your Florida Black Bear Mass histogram to answer the following questions. a. What is the smallest mass for a bear in the Florida population? ____35 kg_____ b. What is the largest mass for a bear in the Florida population? _____115 kg____ c. What is the most common mass for a bear in the Florida population? 66-75 kg 6. Compare the Pennsylvania and Florida Black Bear histograms to answer the following questions. All student answers should be based on data that they observed in the data tables. Any answers that are derived from unsubstantiated conjecture are incorrect. a. How are the Pennsylvania and Florida bear populations different? Any or all of the following responses are correct. 15 Describing Variability of Organisms – Grade Eight Attachment E (continued) Post-Assessment Answers The distributions of masses are shaped different, but both are bell-shaped curves. Some Pennsylvania bears are larger than the largest Florida bears. The smallest Pennsylvania bears are not as small as the smallest Florida bears. The most common-size of Pennsylvania black bear is larger than the most common-size of Florida black bear. b. If you want to see a large black bear, which state should you visit? You should go to Pennsylvania, because there are some bears there that are larger than any that occur in Florida, plus the most common-sized black bear in Pennsylvania is larger than the most common-sized black bear in Florida. c. If a population of bears is captured in Florida and transplanted to Pennsylvania, which of the Florida bears do you think might have trouble surviving in Pennsylvania? On what observations do you base this prediction? The bears that range from 35 to 65 kg in mass do not appear to live in the Pennsylvania population. This suggests that smaller bodied bears do not survive well in this environment. You may choose to describe this phenomenon known as Bergman's Rule, where animals within the same species tend to have smaller adult sizes in lower latitudes and larger adult body sizes in higher latitudes. This has been noted in such widely varying species as black bear, white-tail deer and bald eagle. 16