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Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days Science Grade 08 Unit 05 Exemplar Lesson 01: Unbalanced Forces This lesson is one approach to teaching the State Standards associated with this unit. Districts are encouraged to customize this lesson by supplementing with district-approved 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 may be 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 will differentiate between speed, velocity, and acceleration and demonstrate and calculate how unbalanced forces change the speed and/or direction of an object’s motion. Students will construct, analyze, and interpret graphs. They will then demonstrate their understanding of the concepts through an experimental investigation. 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. 8.6 Force, motion, and energy. The student knows that there is a relationship between force, motion, and energy. The student is expected to: 8.6A Demonstrate and calculate how unbalanced forces change the speed or direction of an object's motion. Readiness Standard 8.6B Differentiate between speed, velocity, and acceleration. Supporting Standard Scientific Process TEKS 8.1 Scientific investigation and reasoning. The student, for at least 40% of instructional time, conducts laboratory and field investigations following safety procedures and environmentally appropriate and ethical practices. The student is expected to: 8.1A Demonstrate safe practices during laboratory and field investigations as outlined in the Texas Safety Standards. 8.1B Practice appropriate use and conservation of resources, including disposal, reuse, or recycling of materials. 8.2 Scientific investigation and reasoning. The student uses scientific inquiry methods during laboratory and field investigations. The student is expected to: 8.2A Plan and implement comparative and descriptive investigations by making observations, asking well-defined questions, and using appropriate equipment and technology. 8.2B Design and implement comparative and experimental investigations by making observations, asking well-defined questions, formulating testable hypotheses, and using appropriate equipment and technology. 8.2C Collect and record data using the International System of Units (SI) and qualitative means such as labeled drawings, writing, and graphic organizers. 8.2D Construct tables and graphs, using repeated trials and means, to organize data and identify patterns. 8.2E Analyze data to formulate reasonable explanations, communicate valid conclusions supported by Last Updated 04/24/13 page 1 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days the data, and predict trends. 8.3 Scientific investigation and reasoning. The student uses critical thinking, scientific reasoning, and problem solving to make informed decisions and knows the contributions of relevant scientists. The student is expected to: 8.3A In all fields of science, analyze, evaluate, and critique scientific explanations by using empirical evidence, logical reasoning, and experimental and observational testing, including examining all sides of scientific evidence of those scientific explanations, so as to encourage critical thinking by the student. 8.3D Relate the impact of research on scientific thought and society, including the history of science and contributions of scientists as related to the content. 8.4 Scientific investigation and reasoning. The student knows how to use a variety of tools and safety equipment to conduct science inquiry. The student is expected to: 8.4A Use appropriate tools to collect, record, and analyze information, including lab journals/notebooks, beakers, meter sticks, graduated cylinders, anemometers, psychrometers, hot plates, test tubes, spring scales, balances, microscopes, thermometers, calculators, computers, spectroscopes, timing devices, and other equipment as needed to teach the curriculum. 8.4B Use preventative safety equipment, including chemical splash goggles, aprons, and gloves, and be prepared to use emergency safety equipment, including an eye/face wash, a fire blanket, and a fire extinguisher. GETTING READY FOR INSTRUCTION Performance Indicators Grade 08 Science Unit 05 PI 01 Use a simple experiment to demonstrate how unbalanced forces change the speed or direction of an object’s motion. Complete a report, including graphs and calculations, showing how unbalanced forces change the speed or direction of the object’s motion. Include information illustrating the differences between speed, velocity, and acceleration. Standard(s): 8.2B , 8.2C , 8.2D , 8.2E , 8.6A , 8.6B ELPS ELPS.c.1E , ELPS.c.5D , ELPS.c.5G Key Understandings Motion can be represented mathematically. — What is speed? — What is velocity? — What is acceleration? — How are speed, velocity, and acceleration different? — How can motion be mathematically and graphically represented? Unbalanced forces change an object’s motion. — What is motion? — What is force? — How is force measured? — How do forces affect an object’s motion? — What is a balanced force? — What is an unbalanced force? — How do unbalanced forces affect an object? Give examples. — What is net force? — How is net force calculated? Give examples. Vocabulary of Instruction acceleration gravity inertia net force newton speed balanced force unbalanced force Last Updated 04/24/13 velocity force motion page 2 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days Materials bandana (1 per teacher) books (identical books, such as textbooks, 6 per group) calculator (1 per student) colored pencils (per group) cones (2 per teacher) glue or tape (per group) masking tape (1 roll per group) meter sticks (4 per group) rope (long and heavy, for tug-of-war, 1 per teacher) tape (1 roll per teacher) tennis ball (1 per group) timing devices (3 per group) toy vehicle (hot wheel-sized, 1 per group) various objects to illustrate acceleration (see Advance Preparation, 1 per student) 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. Handout: Speed, Velocity, and Acceleration (1 per student) Handout: Calculating and Graphing Speed (1 per student) Teacher Resource: Check for Understanding-Speed, Velocity, Acceleration (1 for projection or 1 per s Teacher Resource: Card Sort: Speed, Velocity, Acceleration (see Adv. Prep., 1 set per group) Teacher Resource: Story Graphs (see Advance Preparation, 1 set per group) Teacher Resource: Which Direction Does It Move? (see Advance Preparation, 1 set per pair) Handout: Forces & Motion Notes (1 per student) Teacher Resource: PowerPoint: Forces and Motion Teacher Resource: Force Arrows (see Advance Preparation, 1 class set) Handout: Data Sheet: Calculating Net Force (half sheet per student) Optional Handout: Net Forces (1 per student) Teacher Resource: Net Forces KEY Teacher Resource: Force Mass Acceleration Cards (see Adv. Prep., 1 class set and 1 card per student) Handout: Data Sheet: Force Mass Acceleration (1 half sheet per student and 1 for projection) Optional Handout: Check for Understanding Force Mass Acceleration (1 per student) Teacher Resource: Check for Understanding Force Mass Acceleration KEY Handout: Effects of Unbalanced Forces (1 per student) Teacher Resource: Effects of Unbalanced Forces Sample Data Resources None Identified Advance Preparation 1. Prior to Day 3, copy on cardstock, cut out, laminate, and bag Teacher Resource: Card Sort: Speed, Velocity, Acceleration and Teacher Resource: Story Graphs. You will need one set for each group of two students. 2. Prior to Days 4–6: Last Updated 04/24/13 page 3 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days Obtain tug of war materials: rope, bandana, two cones, and tape. Arrange for an area in which to have students play the game. Copy on cardstock, cut out, laminate, and bag Teacher Resource: Which Direction Does It Move? You will need one set for each pair of students. Copy on cardstock, cut out, laminate, and bag a class set of the Teacher Resource: Force Arrows (1 arrow per student). Copy on cardstock, cut out, laminate, and bag a class set of the Teacher Resource: Force Mass Acceleration Cards (1 card per student). 3. For the EXPLORE/EXPLAIN – Change the Motion of an Object, some examples of the various objects that you could select to illustrate acceleration include: marbles, books, coins, cups, balls, rulers, pencils, or feathers. One is needed per student. 4. Prepare attachment(s) as necessary. Background Information While this unit touches on inertia and introduces the relationship between force, mass, and acceleration, the emphasis in this unit will be an understanding that unbalanced forces change the direction or speed of an object. Speed is defined as distance divided by time. In mathematics, this can be graphically represented. A horizontal line would indicate that the object is not moving, while a line sloping upward to the right indicates that the object is traveling at a constant speed away from the origin. A downward sloping line indicates that the object is moving at a constant speed toward the origin. A curved line indicates that the object’s speed is either increasing or decreasing depending on the direction of the slope. Velocity refers to speed with a direction. Acceleration is the change in velocity divided by the change in time. STAAR Note: The calculation of the effects of unbalanced forces on an object’s speed or direction (8.6A) will be assessed as a Readiness Standard under Reporting Category 2: Force, Motion, and Energy on the STAAR Grade 8 Science Assessment. Differentiation between speed, velocity, and acceleration (8.8.6B) will be assessed as a Supporting Standard under Reporting Category 2: Force, Motion, and Energy on the STAAR Grade 8 Science Assessment. In addition, although not directly taught in Grade 8, the concept of work (W = Fd) will be assessed as a Supporting Standard under Reporting Category 2: Force Motion and Energy on the STAAR Grade 8 Science Assessment. INSTRUCTIONAL PROCEDURES Instructional Procedures ENGAGE/EXPLORE/EXPLAIN – Speed, Velocity, Acceleration Notes for Teacher NOTE: 1 Day = 50 minutes Suggested Day 1 1. Distribute the Handout: Speed, Velocity, and Acceleration to each student. Materials: 2. Instruct students to “Find Someone Who” can tell them what speed, velocity, and acceleration are. Students should locate three different peers to tell them what they think these terms mean and record the answers in the “What we think” row of the document. One peer for speed, one for velocity, and so forth… Inform students that they are expected to answer as well as ask. The student who answers needs to sign his/her name next to their answer to help with accountability. glue or tape (per group) 3. Set a time limit for students to accomplish the task, and monitor and assist them in finding a peer. 4. Ask students to list an “A” for agree or a “D” for disagree next to the definitions their peers gave them. Attachments: Handout: Speed, Velocity, and Acceleration (1 per student) Teacher Resource: Power Point: Describing Motion Instructional Notes: Students could make a 3-tab booklet in lieu of the handout. 5. Instruct students to turn to a partner and explain why they agree or disagree with the definitions. Students may think that acceleration always means to 6. Project the Teacher Resource: PowerPoint: Describing Motion. “speed up". 7. Instruct students to update their handouts by recording the scientific Last Updated 04/24/13 page 4 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days definitions of speed, velocity, and acceleration in the “What We Know” row of their handouts. 8. Note: The PowerPoint will instruct students to record examples as they complete their notes on the handout. The term “deceleration” is not accepted as scientifically appropriate. Consider using the terms, “positive acceleration” and “negative acceleration” to describe “speeding up” and “slowing down". 9. Ask: How does your “What We Think” section compare to your “What We Know” section? Allow students to volunteer answers. Does anyone notice any differences in the meaning of the three terms? Explain. Students should note speed is distance/time, velocity is speed with a direction, and acceleration is a change in speed and/or direction. 10. Instruct students to highlight, circle, or underline the key differences. 11. Say: The terms we have noted are extremely important in our upcoming unit of study. Be prepared to refer back to them often. 12. Instruct students to affix the handout to their notebooks, and inform them that they will be utilizing it throughout the unit. EXPLORE/EXPLAIN – Calculating and Graphing Speed Check For Understanding: Allowing students to speak/listen/write and compare will help them access prior knowledge and process new knowledge. Misconception: Students may think that acceleration is always positive. Science Notebooks: Students need to affix the Handout: Speed, Velocity, Acceleration to their notebooks. Suggested Days 2 and 3 1. Review graphing by projecting the Teacher Resource: PowerPoint: Interpreting the Graph. 2. As each graph is displayed, instruct students to number 1-5, copy the pattern of the line in their science notebooks, and write the motion they think each graph represents. 3. Remind students to use the terms speed, velocity, and acceleration in their descriptions of motion. 4. Facilitate a discussion in which students relfect on their responses and clarify any misconceptions by asking Guiding Questions. 5. Distribute the Handout: Calculating and Graphing Speed to each student. 6. Read through the procedure as a large group while demonstrating your expectations. Clarify any concerns or questions from students. 7. Use fictional data on a data table to model how to record and graph data. You may ask for student volunteers to come up and participate. 8. Divide the class into groups with a minimum of five students per group. Materials: meter stick (1 per group) masking tape (1 roll per group) tennis ball (1 per group) timing devices (3 per group) calculators (2–3 per group) colored pencils (per group) Attachments: Teacher Resource: PowerPoint: Interpreting the Graph Handout: Calculating and Graphing Speed (1 per student) Teacher Resource: Check for Understanding-Speed, Velocity, Acceleration (1 for projection or 1 per student) 9. Instruct students to follow the procedures on the Handout: Calculating and Graphing Speed. 10. Monitor student groups and facilitate by asking guiding questions. 11. Debrief by facilitating a discussion of student results and their answers on the Post Investigation Questions (from the handout). Make sure each group is contributing to the discussion. 12. Project the Teacher Resource: Check for Understanding - Speed, Velocity, Acceleration. Alternatively, you may distribute a copy to each student. Last Updated 04/24/13 Instructional Notes: Calculating and graphing speed by measuring changes in motion is a review of Supporting Standards 6.8C, D. Make calculators available to students for checking their answers or for students whose IEPs require them. page 5 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days 13. Instruct students to read the scenario, illustrate the motion on a graph, and calculate the average speed. They should also describe any acceleration. 14. Instruct students to record this information in their notebooks (or alternatively, on a sheet of paper to submit to the teacher). Students will not be allowed to use calculators on the STAAR test, so they should become accustomed to doing calculations without them. During the lessons involving motion of objects, review potential and kinetic energy (6.6A Supporting Standard) as well as energy transformations. Note: Data will vary in each group. Check For Understanding: Use the Teacher Resource: Check for UnderstandingSpeed, Velocity, Acceleration as an exit ticket strategy for assessing student understanding. Science Notebooks: Students should number the graphs from the Teacher Resource: PowerPoint: Interpreting The Graph 1–5 and record the motion represented by the graph in their notebooks. Students need to affix the Handout: Calculating and Graphing Speed in their notebooks and complete the Check for Understanding exercise in their notebooks. EXPLAIN – Card Sort Suggested Day 3 (continued) 1. Divide the class into smaller groups of two students. Attachments: 2. Distribute one set of cards from the Teacher Resource: Card Sort: Speed, Velocity, Acceleration to each group. 3. Instruct students to classify examples as Speed, Velocity, or Acceleration. 4. Monitor groups to check for accuracy and facilitate by asking Guiding Questions. Clarify misconceptions immediately. Teacher Resource: Card Sort: Speed, Velocity, Acceleration (see Advance Preparation, 1 card set per group) Instructional Note: Giving students the opportunity to explain and justify their 5. Ask students to justify their classification to a partner. You may have them classification to a partner may help them to process the write justifications in their notebooks. information by speaking and prior to writing in their notebooks. Science Notebooks: Students may record justifications for card sort in their notebooks. ELABORATE – Story Graphs Suggested Day 3 (continued) 1. Distribute one set of the Teacher Resource: Story Graphs to each group Attachments: of two. Teacher Resource: Story Graphs (see 2. Instruct students to write a story or scenario that depicts the motion for Advance Preparation, 1 set per group) one of the four graphs. They should calculate the average speed and describe any acceleration. Instructional Note: 3. Instruct students to record their story in their notebooks. 4. Monitor activity, and facilitate by asking Guiding Questions. 5. Clarify any misconceptions immediately. Last Updated 04/24/13 Consider a partner strategy, such as appointment clocks, so students are not always sharing with the same person or persons. page 6 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days 6. Allow students an opportunity to share a story graph with another partner group. Science Notebooks: Students record stories for one of the four graphs in their notebooks. ENGAGE – Tug of War Suggested Day 4 1. Prepare an area for a game of tug of war by placing a piece of tape on the floor as a center point. This may be best done in a gym or outside. 2. Place a bandana at the center point of the rope. 3. Divide the class into two groups. 4. Instruct each group to line up behind the cone on either side of the rope to prepare to pull for their group on your command. Materials: rope (long and heavy, for tug-of-war, 1 per teacher) cones (2 per teacher) bandana (1 per teacher) tape (1 roll per teacher) 5. When one side wins, instruct students to go back to their seats and illustrate the game in their science notebooks. 6. Instruct students to use arrows to demonstrate the directions the teams were pulling. 7. Facilitate a class discussion, using the following questions. Ask: Which direction did the winning team pull the rope? Students should be able to indicate right or left. Should we use a large arrow or a small arrow to indicate the winning team’s direction? The winning team should use a large arrow to indicate their direction. What size arrow should we use to indicate the losing team’s direction? The losing team should use a small arrow to indicate their direction. Why is it appropriate to use a large arrow to represent the winning team? What does the arrow mean? The arrow represents the direction and amount of the force, and the winning team had more force. Therefore, a large arrow would be appropriate representation. What is a force? A force is a push or pull. What does a force cause to happen? A force can cause motion to start, stop, change direction, speed up, slow down, and maintain a constant speed; it can also cause an object to remain motionless. Do you agree or disagree with the following statement? Why or why not? Answer in your science notebooks. You may wish to project the statement on the board. The forces in the game of tug of war were balanced. Disagree. The forces were unbalanced because one team had more force and was able to win. If the forces were balanced, there would not have been a winner. Misconception: Students may not recognize all of the forces acting upon an object. Science Notebooks: Students illustrate the tug of war game in their notebooks, including using arrows to represent direction and amount of force. Students need to answer the agree/disagree question and justify their answer. 8. Allow student volunteers to share their illustrations and answers. 9. Instruct students to add to or modify their illustrations and answers based on the discussion. EXPLORE/EXPLAIN – Change the Motion of an Object Suggested Days 4 (continued), 5, and 6 1. Instruct students to select an object and make it accelerate (change its motion by starting it, stopping it, speeding it up, slowing it down, and changing its direction). 2. Write the following questions on the board, and ask students to answer the following questions about their object in their notebooks: What just happened to the _____________? Why did the ____________’s motion change? Last Updated 04/24/13 Materials: various objects to illustrate acceleration (see Advance Preparation, 1 per student) calculator (1 per student) glue or tape (per group) page 7 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days Was the force balanced or unbalanced? The force was unbalanced. How do unbalanced forces affect the motion of an object? Unbalanced forces cause acceleration- start, stop, speed up, slow down, or change directions. What is the scientific term for the changes in motion just described? Acceleration is the scientific term for change in motion. When the _____________is at rest, are the forces balanced or unbalanced? Balanced. The motion of the object is not changing. When the object continues in a straight path at a constant speed, are the forces balanced or unbalanced? Balanced. The motion of the object is not changing. Do balanced forces allow acceleration? No, balanced forces do not allow starting, stopping, speeding up, slowing down, or changing direction. 3. Divide the class into pairs. Distribute sets from the Teacher Resource: Which Direction Does It Move? to each pair. 4. Instruct students to describe the motion of the object (left, right, up, down, or no change in motion). The arrows on the handout represent the amount of force. Larger arrows have more force; smaller arrows have less force. 5. Next, instruct students to justify their classification by explaining to their partner why they think the objects will move in their selected direction. (See Instructional Notes) Student answers should include the terms balanced, unbalanced, force, motion, acceleration, etc. Attachments: Teacher Resource: Which Direction Does It Move? (see Advance Preparation, 1 set per pair) Handout: Forces & Motion Notes (1 per student) Teacher Resource: Power Point: Forces & Motion Teacher Resource: Force Arrows (see Advance Preparation, 1 class set, 1 arrow per student) Handout: Data Sheet: Calculating Net Forces (half sheet per student) Optional Handout: Net Forces (1 per student) Teacher Resource: Net Forces KEY Teacher Resource: Force Mass Acceleration Cards (see Advance Preparation, 1 class set, 1 card per student) Handout: Data Sheet:Force Mass Acceleration (half sheet per student) Optional Handout: Check for Understanding Force Mass Acceleration (1 per student) Teacher Resource: Check for Understanding Force Mass Acceleration KEY 6. Monitor student pairs, and facilitate by asking guiding questions. 7. Clarify any misconceptions immediately. Instructional Notes: 8. Distribute a copy of the Handout: Forces & Motion Notes to each student. Consider the partner A, partner B strategy for the Which Direction Does It Move activity. Partner A talks while partner B listens. Partner B has to agree or disagree and 9. Project the Teacher Resource: PowerPoint: Forces & Motion. Note: You explain why or why not. Then students swap roles. will facilitate the discussion of only slides 1–13 at this time. 10. Instruct students to record notes on the Handout: Forces & Motion Notes as the class discusses the content on each slide. 11. Check for Understanding: Distribute one arrow per student from the Teacher Resource: Force Arrows (see Advance Preparation). Identifying and describing the changes in position, direction, and speed of an object when acted upon by unbalanced forces is a review of TEKS 6.8B. The term acceleration is a new term for students. 12. Distribute a half sheet from the Handout: Data Sheet: Calculating Net Forces to each student (see Instructional Notes). 13. Model for students how to find a partner, combine their arrows, and record and calculate the data on the table. 14. Instruct students to find three different partners, combine arrows, and then record and calculate the data on the table. 15. Monitor student groups, and facilitate by asking guiding questions. Clarify any misconceptions at this time. 16. Collect the data tables as a formative assessment. Alternatively, you may distribute the Optional Handout: Net Forces to each student and then collect them. Inertia and F = ma is only briefly addressed in this unit and will be investigated with more depth in the next unit. The triangles are used in this lesson to scaffold new concepts, but teachers are encouraged to have their students calculate algebraically to reinforce math concepts. Misconceptions: 17. Return the data sheets to students to affix in their notebooks. 18. Continue the presentation and discussion of the Teacher Resource: PowerPoint: Forces & Motion notes slides 14–24. Last Updated 04/24/13 Students may not recognize all of the forces acting upon an object. Students may think of force as a property of page 8 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days 19. Instruct students to continue taking notes on the Handout: Forces & Motion Notes as the class discusses the content on each slide. an object ("an object has force" or "force is within an object"), rather than as a relationship between objects. 20. Distribute one card to each student from the Teacher Resource: Force Mass Acceleration Cards (see Advance Preparation). 21. Distribute a half sheet per student of the Handout: Data Sheet: Force Mass Acceleration. Check For Understanding: Use the activities/data sheets and optional handouts to 22. Model for students how to find a partner that has a different variable card from their own card and then how to record and calculate the data on the table. The triangles are used in this lesson to scaffold new concepts, but teachers are encouraged to have their students calculate algebraically to reinforce math formatively assess student progress. 23. Instruct students to find three different partners, combine cards, and record and calculate the data on the table. their notebooks. Science Notebooks: Students should affix their handouts and data sheets in 24. Monitor student groups, and facilitate by asking Guiding Questions. Clarify any misconceptions immediately. 25. Collect the data tables as a formative assessment. Alternatively, you can distribute the Optional Handout: Check for Understanding Force Mass Acceleration to each student and collect them. 26. Return the data sheets to students to affix in their notebooks. ELABORATE – Effects of Unbalanced Forces Experiment Suggested Days 7 and 8 1. Divide the class into groups of four students. Distribute a copy of the Handout: Effects of Unbalanced Forces to each student. 2. Discuss the handout and procedures with students to clarify any concerns. 3. Instruct students to conduct the experiment as a group, but complete the Analysis of Results and Conclusion as an individual assignment. 4. Monitor student groups, and facilitate by asking Guiding Questions. Clarify misconceptions at this time. 5. Instruct students to affix the Handout: Effects of Unbalanced Forces to their notebooks as well as the completion of their Analysis of Results and Conclusion. 6. This experimental investigation will be used to complete the Performance Indicator in the upcoming Evaluate section of the lesson. Materials: toy vehicle (hot wheel-sized, 1 per group) books (identical books, such as textbooks, 6 per group) meter sticks (4 per group) masking tape (1 roll per group) timing device (1 per group) calculator (1 per student, per group) Attachments: Handout: Effects of Unbalanced Forces (1 per student) Teacher Resource: Effects of Unbalanced Forces Sample Data Instructional Notes: This is an experimental investigation. Students will manipulate a variable (ramp height) to determine the effect on the responding variable (object’s speed). Consider the DRY MIX method to help students understand the placement of variables on a graph. See below: Dependent Responding Y axis Manipulated Independent X axis Last Updated 04/24/13 page 9 of 46 Grade 8 Science Unit: 05 Lesson: 01 Suggested Duration: 8 days Make calculators available to students for checking their answers or for students whose IEPs require them. Students will not be allowed to use calculators on the STAAR test, so they should become accustomed to doing calculations without them. Misconception: Students may not recognize all of the forces acting upon an object. Science Notebooks: Students should affix their handouts and analyses to their notebooks. EVALUATE – Performance Indicator Suggested Day 8 (continued) Grade 08 Science Unit 05 PI 01 Materials: Use a simple experiment to demonstrate how unbalanced forces change the speed or direction of an object’s motion. glue or tape (per group) Complete a report, including graphs and calculations, showing how unbalanced forces change the speed or direction of the object’s motion. Include information illustrating the differences between speed, velocity, and acceleration. Standard(s): 8.2B , 8.2C , 8.2D , 8.2E , 8.6A , 8.6B ELPS ELPS.c.1E , ELPS.c.5D , ELPS.c.5G Attachments: Handout: Effects of Unbalanced Forces (previously distributed) 1. Project the Performance Indicator on the board. 2. Note: Students will use the experiment Effects of Unbalanced Forces conducted the previous day to complete the Performance Indicator. 3. Explain that today students will be individually analyzing the results of the experiment conducted the day before, Effects of Unbalanced Forces, and writing an analysis of results and conclusion report to demonstrate how unbalanced forces change the speed or direction of an object’s motion. Science Notebooks: Students need to refer to their notes in order to complete the performance indicator. 4. Share Performance Indicator rubric or your expectations with students prior to students beginning the assessment. 5. Inform students that the report must show their understanding of the differences in speed, velocity, and acceleration. Explain how you expect students to demonstrate these concepts (narrative, graphs, calculations, etc.) 6. Instruct students to use the scientific terms learned in this unit in their explanation, and encourage students to refer to their notebooks as a resource. Last Updated 04/24/13 page 10 of 46 Grade 8 Science Unit: 05 Lesson: 01 Speed, Velocity, and Acceleration Speed Velocity Acceleration What We Think: Sign: Sign: Sign: What We Know: Examples: ©2012, TESCCC 08/21/12 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Calculating and Graphing Speed How can speed be measured, calculated, and graphed? Materials: • • • • • • meter stick masking tape tennis ball 3 timing devices calculators colored pencils Procedure: (5 students per group required) 1. Using the meter stick and tape, measure and mark 0 m, 5 m, 10 m, and 15 m on the floor. 2. Four persons in the group should stand, one at each mark. The person at the 0 m mark should not have a timing device. 3. The fifth person (the roller) will roll a tennis ball down the tape line. 4. The person at the 0 m mark needs to raise their hand. When the tennis ball hits the 0 mark, drop their hand and the other group members at 5, 10, and 15 meters will start their timing devices. 5. When the ball passes the 5 m mark, the 5m timer person STOPS their timing device. Record the 5m time in the data table. 6. When the ball passes the 10 m mark, the 10m timer person STOPS the timing device. Record the time in the data table. 7. When the ball passes the 15 m mark, the timer STOPS the timing device. Record the time in the data table. 8. The roller now moves to the 0 m mark, and the person at the 0 m mark moves to the 5 m mark. In addition, the person at the 5 m mark moves to the 10 m mark, and the person at the 10 m mark moves to the 15 m mark. Therefore, the person at the 15 m mark is now the roller. 9. Repeat steps 2–8 until all group members have rolled. Do not forget to record your data in the table. ©2012, TESCCC 08/21/12 page 1 of 4 Grade 8 Science Unit: 05 Lesson: 01 Data Table Time (s) at 5 meters Time (s) at 10 meters Time (s) at 15 meters (Total Time) Total Distance Ball 1 ___________ (Name) 15 m Ball 2 ___________ (Name) 15 m Ball 3 ___________ (Name) 15 m Ball 4 ___________ (Name) 15 m Ball 5 ___________ (Name) 15 m Average Speed (m/s) Use the formula: total distance ÷ total time 15 m ÷ ___________ = _____________ (m/s) 1. Calculate the average speed for each ball using the formula: Average Speed = total distance ÷ total time Enter this information into the data table above. The total distance rolled was 15 meters. The total time was the time it took the ball to roll all 15 meters. 2. Graph the results for each ball on the graph paper. Use different colors for each ball. Make sure to label the y-axis with distance (in meters) and the x-axis with time (in seconds). Remember that your intervals have to be equally spaced. ©2012, TESCCC 08/21/12 page 2 of 4 Grade 8 Science Unit: 05 Lesson: 01 Y-axis:________________( ) TITLE: _________________________________________________________________ Key: X-axis:________________( Ball #1 Ball #2 Ball #3 Ball #4 Ball #5 ©2012, TESCCC Name Color ) 08/21/12 ____________________ ____________________ ____________________ ____________________ ____________________ page 3 of 4 Grade 8 Science Unit: 05 Lesson: 01 Post Investigation Questions Answer the following questions in complete sentences. 1. How did the speeds of the different tennis balls compare? 2. What variables may have affected the speed of the tennis balls? 3. Did your tennis ball accelerate at any point? Explain. 4. What was the velocity of your tennis ball? 5. Did the velocity of your tennis ball change at any point? Explain. ©2012, TESCCC 08/21/12 page 4 of 4 Grade 8 Science Unit: 05 Lesson: 01 Check for Understanding: Speed, Velocity, Acceleration Directions: 1. Read the following scenario. 2. Illustrate and label the motion occurring in the scenario on a graph. 3. Calculate the average speed. 4. Describe all points of acceleration and explain. A female cheetah left her cubs to hunt for food. She sprinted 30 m away from her den in two seconds. Next, she turned around and traveled 10 meters back toward her den in three seconds. She suddenly stopped and listened intently for two seconds. Then, she traveled 40 meters away from her den in four seconds. ©2012, TESCCC 10/17/12 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Card Sort: Speed, Velocity, Acceleration Speed t S= t Velocity Acceleration Speed and direction A change in speed or direction S== d t An athlete ran 1,200 meters in six minutes. The tropical storm is moving 15 km/hr to the Northwest. The roller coaster comes to a jerking stop. A cheetah can run 70 miles per hour. The suspect is headed North on I-35 at 90 miles per hour. The race car maintains its speed while going around the curve. ©2012, TESCCC 04/22/13 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Story Graphs ©2012, TESCCC 08/21/12 page 1 of 4 Grade 8 Science Unit: 05 Lesson: 01 ©2012, TESCCC 08/21/12 page 2 of 4 Grade 8 Science Unit: 05 Lesson: 01 ©2012, TESCCC 08/21/12 page 3 of 4 Grade 8 Science Unit: 05 Lesson: 01 ©2012, TESCCC 08/21/12 page 4 of 4 Grade 8 Science Unit: 05 Lesson: 01 Which Direction Does It Move? The size of the arrows represent the amount of force. http://commons.wikimedia.org/wiki/File:Tennis_ball.svg http://commons.wikimedia.org/wiki/File:Ocicat-Charan.jpg http://commons.wikimedia.org/wiki/File:Baseball_(crop).jpg http://commons.wikimedia.org/wiki/File:Soccer_ball. ©2012, TESCCC 04/19/13 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Forces & Motion Notes Term Notes Motion Force Balanced Force ©2012, TESCCC 08/21/12 page 1 of 6 Grade 8 Science Unit: 05 Lesson: 01 Inertia Unbalanced Force Net Force ©2012, TESCCC 08/21/12 page 2 of 6 Grade 8 Science Unit: 05 Lesson: 01 Calculate Net Force Calculate Net Force ©2012, TESCCC 08/21/12 page 3 of 6 Grade 8 Science Unit: 05 Lesson: 01 Term Notes Mass Weight F = ma ©2012, TESCCC 08/21/12 page 4 of 6 Grade 8 Science Unit: 05 Lesson: 01 A=f÷m M=f÷a ©2012, TESCCC 08/21/12 page 5 of 6 Grade 8 Science Unit: 05 Lesson: 01 Calculate F= ma Calculate A= f ÷ m Calculate M= f ÷ a ©2012, TESCCC 08/21/12 page 6 of 6 Grade 8 Science Unit: 05 Lesson: 01 Force Arrows 21N 11N 14N 7N ©2012, TESCCC 5N 9N 9N 0.5N 08/21/12 page 1 of 2 Grade 8 Science Unit: 05 Lesson: 01 28N 2.5N 36N 1.5N 17N 2N 15N ©2012, TESCCC 08/21/12 page 2 of 2 Grade 8 Science Unit: 05 Lesson: 01 Data Sheet Calculating Net Force Problem Force 1 & Direction (N) + - Example 30N right - Force 2 & Direction (N) = 20N left = Net Force & Direction (N) 10N right 1 2 3 Data Sheet Calculating Net Force Problem Force 1 & Direction (N) + - Example 30N right - Force 2 & Direction (N) = 20N left = Net Force & Direction (N) 10N right 1 2 3 ©2012, TESCCC 08/21/12 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Net Forces Answer and record the following information for each diagram below. A. Calculate and record the net force. B. Are the forces balanced or unbalanced? C. How are the forces affecting the motion of the object? 1. 25 N to the left 25 N to the right A. B. C. 2. 100 N to the right 50 N to the right A. B. C. 3. 20 N to the left 60 N to the right A. B. C. 4. How do forces affect objects? ©2012, TESCCC 11/26/12 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Net Forces KEY Answer and record the following information for each diagram below. A. Calculate and record the net force. B. Are the forces balanced or unbalanced? C. How are the forces affecting the motion of the object? 1. 25 N to the left 25 N to the right A. 0 N B. Balanced C. The object is not moving. 100 N to the right 50 N to the right A. 150 N B. Unbalanced C. The object is moving to the right. 20 N to the left 60 N to the right A. 40 N B. Unbalanced C. The object is moving to the right. 2. 3. 4. How do forces affect the motion of objects? Balanced forces can change the shape of an object, keep an object at a constant speed, or keep an object at rest. Unbalanced forces cause objects to accelerate- starting, stopping, speeding up, slowing down, or changing direction. ©2012, TESCCC 04/22/13 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Force Mass Acceleration Cards F = 28N F = 694N M = 2000kg A = 32m/s2 F = 150N F =333N M = 1000kg A = 15m/s2 F = 800N M = 5kg M = 245kg A = 10m/s2 F = 74N M = 34kg M = 52kg A = 20m/s2 F = 225N M = 78kg A = 2m/s2 A = 33m/s2 F = 564N M = 127kg A = 5m/s2 A = 50m/s2 F = 3000N M = 721kg A = 25m/s2 -------------------- ©2012, TESCCC 04/22/13 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Data Sheet Force, Mass, Acceleration Problem Force (N) Example 350 N Acceleration (m/s2) Mass (kg) ÷ 35 kg = 10 m/s2 1 2 3 Force (N) = mass (kg) x acceleration (m/s2) F Acceleration (m/s2) = force (N) ÷ mass (kg) m a Mass (kg) = force (N) ÷ acceleration (m/s2) F=ma a = F/m a = 350/35 a = 10 m/s2 a=F/m m=F/a Data Sheet Force, Mass, Acceleration Problem Force (N) Example 350 N Acceleration (m/s2) Mass (kg) ÷ 35 kg = 10 m/s2 1 2 3 Force (N) = mass (kg) x acceleration (m/s2) Acceleration (m/s2) = force (N) ÷ mass (kg) F m Mass (kg) = force (N) ÷ acceleration (m/s2) F=ma ©2012, TESCCC a a = F/m a = 350/35 a = 10 m/s2 a=F/m m=F/a 04/22/13 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Check For Understanding Force, Mass, Acceleration Use the following equation to answer the questions below. Be sure to show your work,and don’t forget to label the units! Fill in the triangle to help with your calculations. Force (N) = mass (kg) x acceleration (m/s2) 1. A remote-control car has a mass of 1.5 kg. Its electric motor accelerates the car at 6 m/s2. What force does the motor provide? Force: Mass: Acceleration: 2. 2000 N of force cause an elevator to accelerate at 2 m/s2? What is the mass of the elevator? Force: Mass: Acceleration: 3. A bow applies 25 N of force to an arrow with a mass of 2 kg. What is the acceleration of the arrow? Force: Mass: Acceleration: ©2012, TESCCC 08/21/12 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Check For Understanding Force, Mass, Acceleration KEY Use the following equation to answer the questions below. Be sure to show your work and don’t forget to label the units! Fill in the triangle to help with your calculations. Force (N) = mass (kg) x acceleration (m/s2) 1. A remote-control car has a mass of 1.5 kg. Its electric motor accelerates the car at 6 m/s2. What force does the motor provide? Force: 9 N Mass: 1.5 kg Acceleration: 6 m/s2 F = 1.5 x 6 F=9N 2. 2000 N of force cause an elevator to accelerate at 2 m/s2? What is the mass of the elevator? Force: 2000 N Mass: 1000 kg Acceleration: 2 m/s2 M = 2000 ÷ 2 M = 1000 kg 3. A bow applies 25 N of force to an arrow with a mass of 2 kg. What is the acceleration of the arrow? Force: 25 N Mass: 2 kg Acceleration: 12.5 m/s2 A = 25 ÷ 2 A = 12.5 m/s2 ©2012, TESCCC 04/22/13 page 1 of 1 Grade 8 Science Unit: 05 Lesson: 01 Effects of Unbalanced Forces Problem: How does increasing the height of a ramp affect the speed of a toy vehicle? What do we already know about the effect of unbalanced forces on an object? ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ Hypothesis: Restate your problem in an “If, then” statement that can be tested. ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ Materials: identical books (6) meter sticks (4) toy vehicle (hot wheel-sized) masking tape timing device calculators Procedures: 1. Assemble a ramp with side rails using three meter sticks, tape, and three of the six identical books. Make sure the metric side of the ramp is facing up. 2. Place a piece of tape on the floor to mark the end of the ramp. 3. Place the 4th meter stick (metric side facing up) on the floor with the zero next to the tape to measure the distance beyond the ramp. (not in front of the ramp) 4. Place the vehicle at the top of the ramp, and let go when the timer yells, “START!” 5. The timer will stop the time when the vehicle comes to a stop. Measure the total distance (cm) the vehicle traveled. Note where the measuring begins (front or back of car). What does that tell you about measuring where the car stopped? Think about it. 6. Record the time and distance data for the three book ramp on your data table. This becomes the control to which everything else is compared. 7. Repeat steps 4–6 two more times for a total of three trials. Calculate the average time and distance, and record them on the data table. ©2012, TESCCC 04/22/13 page 1 of 5 Grade 8 Science Unit: 05 Lesson: 01 8. Assemble the ramp using four identical books. 9. Repeat steps 4–7. 10. Continue the process repeating steps 4–7 for five books and six books. 11. Use the average time and average distance to calculate the speed of the vehicle with three, four, five, and six books. S= d ÷ t (SHOW ALL CALCULATIONS.) Record the speed on the data table. Observational Data: Distance in cm # of books 3 Trial 1 Trial 2 Trial 3 Avg Distance Trial 3 Avg Time 4 5 6 Time in sec # of books 3 Trial 1 Trial 2 4 5 6 Speed in cm/sec # of books Speed 3 4 5 6 ©2012, TESCCC 04/22/13 page 2 of 5 Grade 8 Science Unit: 05 Lesson: 01 Use the average distance and average time data to construct a scatter plot. To make a scatter plot, mark points using four different colors to represent ramps with three, four, five, and six books. Include a key, and don’t forget the units on the axes. Look for patterns in the data. Y-axis:________________( ) TITLE: _________________________________________________________ Key: 3 Books 4 Books 5 books 6 books X-axis:_______________ ( Color ____________ ____________ ____________ ____________ ) Use the data from the speed table to construct a graph showing the relationship between the variables listed below. Look for patterns. Control: What are you comparing the changes to? Independent Variable (x-axis): What are you changing or testing? ©2012, TESCCC 04/22/13 page 3 of 5 Grade 8 Science Unit: 05 Lesson: 01 Dependent Variable (y-axis): What are you measuring to see if the changed variable resulted in a difference? Y-axis:________________( ) TITLE: _________________________________________________________ X-axis:_______________ Individual Assignment: Complete the analysis of results and conclusion in your notebook. Analysis of Results: Compare and contrast the speeds of the vehicle on the different height ramps. Think about the following: Analyze your data. What patterns do you observe? Did the speed on ramps with books four, five, and six differ from the speed on three books? What forces are acting on the vehicle? Did the forces change? What stayed the same in the experiment? What changed in the experiment? How did the changes affect the vehicle? Was there any energy involved? If so, how? Was your hypothesis proven correct or incorrect? Conclusion: Explain the results of your investigation by making an inference based on the observational data, graphs, and analysis of results. Think about the following: What caused the results? Did the vehicle accelerate? Why or why not? ©2012, TESCCC 04/22/13 page 4 of 5 Grade 8 Science Unit: 05 Lesson: 01 If your hypothesis was proven correct, what is the relationship between the dependent and independent variable? If your hypothesis was proven incorrect, what is the relationship between the dependent and independent variable? What are some other variables that may have affected the outcome of your experiment? Based on this experiment, what other wonderings come to mind? *Include the scientific terms from our unit in your explanation to demonstrate your understanding of: the difference in speed, velocity, and acceleration and how unbalanced forces affect the speed and/or direction of an object’s motion. Include potential energy and kinetic energy in your explanation. ©2012, TESCCC 04/22/13 page 5 of 5 Grade 8 Science Unit: 05 Lesson: 01 Effects of Unbalanced Forces Sample Data Problem: How does increasing the height of a ramp affect the speed of a toy vehicle? What do we already know about the effect of unbalanced forces on an object? ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ Hypothesis: Restate your problem in an “If, then” statement that can be tested. ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ Materials: identical books (6) meter sticks (4) toy vehicle (hot wheel-size) masking tape timing device calculators Procedures: 1. Assemble a ramp with side rails using three meter sticks, tape, and three of the six identical books. Make sure the metric side of the ramp is facing up. 2. Place a piece of tape on the floor to mark the end of the ramp. 3. Place the fourth meter stick (metric side facing up) on the floor with the zero next to the tape to measure the distance beyond the ramp. (not in front of the ramp) 4. Place the vehicle at the top of the ramp, and let go when the timer yells, “START!” 5. The timer will stop the time when the vehicle comes to a stop. Measure the total distance (cm) the vehicle traveled. Note where the measuring begins (front or back of car). What does that tell you about measuring where the car stopped? Think about it. 6. Record the time and distance data for the three book ramp on your data table. This becomes the control to which everything else is compared. 7. Repeat steps 4–6 two more times for a total of three trials. Calculate the average time and distance, and record them on the data table. 8. Assemble the ramp using four identical books. 9. Repeat steps 4–7. ©2012, TESCCC 04/2213 page 1 of 4 Grade 8 Science Unit: 05 Lesson: 01 10. Continue the process repeating steps 4–7 for five books and six books. 11. Use the average time and average distance to calculate the speed of the vehicle with three, four, five, and six books. S= d ÷ t (SHOW ALL CALCULATIONS.) Record the speed on the data table. Observational Data: SAMPLE DATA Distance in cm # of Books Trial 1 Trial 2 Trial 3 3 30 35 40 Avg Distance 35 cm 4 40 42 44 42 cm 5 50 51 52 51 cm 6 45 48 43 45.3 cm Time in sec # of Books 3 Trial 1 3 Trial 2 2.5 Trial 3 2 Avg Time 2.5 s 4 2.5 2.6 2.4 2.5 s 5 2.6 3 2.8 2.8 s 6 3 3.4 3.2 3.2 s Speed in cm/sec # of books 3 Speed 14 cm/s 4 16.8 cm/s 5 18.2 cm/s 6 14.15 cm/s Use the average distance and average time data to construct a scatter plot. To make a scatter plot, mark points using four different colors to represent ramps with three, four, five, and six books. Include a key, and don’t forget the units on the axes. Look for patterns in the data. ©2012, TESCCC 04/2213 page 2 of 4 Grade 8 Science Unit: 05 Lesson: 01 Key: Code: 3 books 4 books 5 books 6 books blue diamond red square green triangle purple x Use the data from the speed table to construct a graph showing the relationship between the variables listed below. Look for patterns. Control: What are you comparing the changes to? Independent Variable (x-axis): What are you changing or testing? Dependent Variable (y-axis): What are you measuring to see if the changed variable resulted in a difference? ©2012, TESCCC 04/2213 page 3 of 4 Grade 8 Science Unit: 05 Lesson: 01 Individual Assignment: Complete the analysis of results and conclusion in your notebook. Analysis of Results: Compare and contrast the speeds of the vehicle on the different height ramps. Think about the following: Analyze your data. What patterns do you observe? Did the speed on ramps with books four, five, and six differ from the speed on three books? What forces are acting on the vehicle? Did the forces change? What stayed the same in the experiment? What changed in the experiment? How did the changes affect the vehicle? Was there any energy involved? If so, how? Was your hypothesis proven correct or incorrect? Conclusion: Explain the results of your investigation by making an inference based on the observational data, graphs, and analysis of results. Think about the following: What caused the results? Did the vehicle accelerate? Why or why not? If your hypothesis was proven correct, what is the relationship between the dependent and independent variable? If your hypothesis was proven incorrect, what is the relationship between the dependent and independent variable? What are some other variables that may have affected the outcome of your experiment? Based on this experiment, what other wonderings come to mind? *Include the scientific terms from our unit in your explanation to demonstrate your understanding of: the difference in speed, velocity, and acceleration and how unbalanced forces affect the speed and/or direction of an object’s motion. Include potential energy and kinetic energy in your explanation. ©2012, TESCCC 04/2213 page 4 of 4