CCSD | Department of Instructional Support | CCSS 2014 SC Science Academic Standards and Performance Indicators Curriculum Map for Science | Physics Unit: Conservation of Energy (H.P.3B) Standard: H.P.3 The student will demonstrate an understanding of how the interactions among objects can be explained and predicted using the concept of the conservation of energy. Conceptual Understanding: Mechanical energy refers to a combination of motion (kinetic energy) and stored energy (potential energy). Mechanical energy is conserved when only conservative forces act; in other words, no work is done by friction. Energy models include flow charts and bar charts. Gravitational and electrical potential energy may be modeled as energy stored in the fields created by massive objects or charged particles. Important to Note: All files referred to are on the websitehttp://ccsdphysics.weebly.com/organized by unit, except for tests. 3A and 3B are inter-related standards and it may make sense to teach parts of 3B (conservation of energy) before parts of 3A (power and efficiency). Unit Engagement/Anchor Activity Suggestions There are some conceptual links between this standard and the laws of thermodynamics addressed in H.P.3C. Discussing entropy (2 nd law) and conservation of energy (1st law) in the introduction to this unit is a good place to start. The Big History Project introductory video is excellent. Formative Assessment Opportunities Standard Assessment items Springs Mini-Lab COE Quiz H.P.3B1, H.P.3B.2 H.P.3A1, H.P.3A.2, H.P.3B1, H.P.3B.2 Summative Assessment Opportunities Standard H.P.3A1, H.P.3A.2, H.P.3B1, H.P.3B.2 H.P.3B1, H.P.3B.2 Assessment Items Roller Coaster Project Conservation of Energy Lab CCSD | Department of Instructional Support | CCSS 2014 SC Science Academic Standards and Performance Indicators Curriculum Map for Science | Physics Investigations and Resources Part 1: Conservation of Mechanical Energy (H.P.3B.1 and H.P.3B.2) 2014 science performance indicators H.P.3B.1 Develop and use models (such as computer simulations, drawings, bar graphs, and diagrams) to exemplify the transformation of mechanical energy in simple systems and those with periodic motion and on which only conservative forces act. Focus question Activity Description 5 E Cycle Expected outcome – learning goal Where does the energy come from to move a ball in a pinball machine? In a pendulum? Demonstration: a tennis ball on a string released from in front of your nose will return to same position (or bowling ball video) Identify potential energy (elastic or gravitational) as the source of the energy Use the PhET simulation to observe the interplay between potential and kinetic energy. Turn on the bar graph; ask students to copy the bar chart at 3 points in the path Turn on “track friction” and raise the coefficient of friction to see the effect of nonconservative forces Explain that the ball has the same amount of potential energy when it returns Work with different spring scales to calculate elastic potential energy Describe the effect of friction (a nonconservative force) on the diagrams Draw models of kinetic and gravitational potential energy at a variety of positions Demonstrate a physical understanding of the spring constant Resource – instructional material (includes specific pgs, chapters, lessons, etc. https://www.youtube.com/watch?v =xXXF2C-vrQE Holt Physics Chapter 5 Sections 2 and 3 http://phet.colorado.edu/en/simula tion/energy-skate-park Springs Mini-Lab.doc Vocabulary (tier 2 and 3) mechanical energy gravitational potential energy (PEg) elastic potential energy (PEe) kinetic energy (KE) non-conservative forces CCSD | Department of Instructional Support | CCSS 2014 SC Science Academic Standards and Performance Indicators Curriculum Map for Science | Physics H.P.3B.2 Use mathematical and computational thinking to argue the validity of the conservation of mechanical energy In simple systems and those with periodic motion and on which only conservative forces act (KE = 1/2mv2, PEg = mgh, PEe= 1/2kx2) How can one determine how fast a skier is going at the bottom of a hill just based on the height of the hill? Make the link from the bar charts to a COE (conservation of energy) equation. Use the LOL diagrams and draw bars as composed of several blocks to show total amount of energy conserved Show how to solve COE problems once the equation has been determined Lab with a variety of energy stations to solve (spring oscillations, pendulums) Marble track project: predict kinetic energy of ball at the bottom of the track using COE; then calculate using projectile motion and and compare. Create valid models for a variety of COE scenarios Generate correct equations from models and solve successfully In Roller Coaster Determine the %error between the predicted kinetic energy and actual kinetic energy. Discuss the sources of error to argue to validity of the COE equations. Conservation of Energy Lab.doc http://kellyoshea.wordpress.com/20 12/03/05/energy-bar-charts-loldiagrams/ Conservation of Energy Lab.doc Roller Coaster Project.doc CCSD | Department of Instructional Support | CCSS 2014 SC Science Academic Standards and Performance Indicators Curriculum Map for Science | Physics Part 2. Potential Energy in Gravitational and Electrical Fields (H.P.3B.3) Note: This performance indicator lends itself to being an introduction to the non-contact forces unit. It is listed with the other 3B objectives as it should be taught after them and in conjunction with the inverse square laws in standard H.P.2D. Force vectors are mentioned here but are described in Performance Indicator H.P.2D.5. 2014 science performance indicators H.P.3B3 Use drawings or diagrams to identify positions of relative high and low potential energy in a gravitational and electrical field (with the source of the field being positive as well as negative and the charge experiencing the field being positive as well as negative) Focus question Activity Description 5 E Cycle Expected outcome – learning goal What two factors make Earth’s gravitational field different from a black hole’s gravitational field? What direction is a gravitation field around a planet? An electric field around a charged object? How do physicists indicate field strength and direction? Activity: use iron filings (inside plastic sheets) and magnets to illustrate magnetic field lines between two opposite magnetic poles. Students draw field lines and make predictions as to what affects field strength at a particular location Draw field lines originating at one pole and terminating at another. Provide rules on drawing gravitational field lines. Contrast electric field lines with gravitational field lines. Explain why a positive test charge has a high potential energy when it has a small distance from a positive charge. Identify and draw the direction of the force a positive test charge would experience in the field as well as an electron. Identify factors that determine field strength at a particular location Resource – instructional material (includes specific pgs, chapters, lessons, etc. Holt Physics Chapter 7 Section 2 and Chapter 16 Section 3 http://hubblesite.org/ explore_astronomy/ black_holes/ encyclopedia.html http://www.physics classroom.com/class/ estatics/Lesson-4/Electric-FieldLines Draw gravitational fields and mark Black Holes reading in Chapter 7 location of high and section 2 (p. 243) low potential energy Draw electric fields lines around point charges and between charges. Label points of high and low potential energy for positive and negative Vocabulary (tier 2 and 3) gravitational field electric field field lines non-contact forces field forces CCSD | Department of Instructional Support | CCSS 2014 SC Science Academic Standards and Performance Indicators Curriculum Map for Science | Physics charges. CC LITERACY RST.11-12.2 How are the gravitational fields of black holes the same as and different from those of stars? Students read about black holes and answer guided questions Draw force vectors for charges in fields Describe the gravitational field and other properties of black holes