Units 11, 12 & 13 Overview Pacing:5 Instructional Weeks Report Period 4: Weeks 5-9 How are light and sound similar and different? Key Concepts/Overarching Questions KEY CONCEPT Key 1: A wave can be characterized by the distance between crests and the frequency of the crests’ occurrence. OVERARCHING QUESTIONS What is a wave? What is transferred by a wave? Key 2: Sound is a longitudinal wave. How is a sound wave different than other waves? Key 3: The speed of light is the speed limit set by nature What controls the speed of a wave? Key 4: A fish sees the world differently from us, and its view from under water is limited by a well-defined angle. How do waves change direction? It is recommended that one day per unit is spent on reviewing PSSA open-ended type questions. Units 11, 12 & 13 Overview Alignment to Standards Focus Pennsylvania Standards Focus Standards 3.1.12.C Assess and apply patterns in science and technology. 3.2.12.A Evaluate the nature of scientific and technological knowledge. 3.4.10.C Distinguish among the principles of force and motion. 3.4.12.C Apply the principles of motion and force. Eligible Content State Assessment: Focus Anchors S11.A.3.3.3 Analyze physical patterns of motion to make predictions or draw conclusions (e.g., solar system, tectonic plates, weather systems, atomic motion, waves). S11.C.2.1.1 Compare or analyze different types of waves in the electromagnetic spectrum (e.g., ultraviolet, infrared, visible light, x-rays, microwaves) as it relates to their properties, energy levels, and motion. Units 11, 12 & 13 Overview Unit Texts Additional Resources Supplies & Materials TEXT AND ADDITIONAL ASSOCIATED RESOURCES RESOURCES Holt Physics Text, Chapters http://www.sciencejoywagon.com/explrsci/media/tonebeat 11 to 15 .htm Holt Physics One Stop Planner Holt Physics Student Lab Manual Holt Physics Problem Workbook Holt Physics Quizzes Book Hewitt Conceptual Physics text and Teacher edition SUPPLIES AND MATERIALS Styrofoam cups Slinky Water String Pendulum Masses Chart paper or whiteboards Markers 5 gallon buckets Computer and Internet access, LCD and Screen Concave and convex lenses Rive Ray Box Overhead projector 8” x 8” x 2” clear baking dish Fresnel lens Concave and convex mirrors Golf Club Tubes Large bottle of water Laser Flashlight Pins Plane mirror Refraction block Slinky 3 cm diameter spring- 2 meters long slinky Smoke alarm buzzer Tuning Fork Units 11, 12 & 13 at a Glance Pacing: 5 Instructional Weeks Module Module 1 2 Pacing 10 days (2 weeks) 5 days (1 Key Overarching Questions Student Products A wave can be characterized by the distance between crests and the frequency of the crests’ occurrence. What is a wave? What is transferred by a wave? Student notes from the lab investigations Solved problems Homework assignments Completed Exam A sound wave is a longitudinal wave How is a sound wave different from other waves? Student notes from the lab investigations week) 3 5 days A light wave is a transverse wave (1 week) 4 32 days (6.4 weeks) Waves change direction (Refract) by interacting with matter. What controls the speed of a wave? What controls the direction of a wave? Student notes form the lab investigations Solved problems Homework assignments Completed Exam Student notes form the lab investigations Solved problems Homework assignments Completed Exam Required Culminating Project: Students should use the Write Tools rules to write a multiple paragraph paper that summarizes the wave properties; reflection, refraction, interference and diffraction. The paper should discuss how these properties affect the amplitude, direction, velocity and wavelength of the wave. Suggested Unit Performance Assessment: Estimating Distance Using Light and Sound Waves This performance assessment is designed to test students’ understanding of the concepts of wave speed and propagation in a medium for both light and sound waves. Students will use the speeds of sound and light waves and the time interval between observing lightning and hearing thunder to determine how far they are from the location of a thunderstorm. Students will then have the opportunity to apply the same idea to a different context. Waves Important Topics Wave Source and Description Know that oscillating sources create waves Know that a medium is required for some waves Define frequency, period of oscillation Know how to find frequency, given period and period, given frequency Know the units for frequency and period Know how to interpret kHz, MHz, GHz Know the symbol for wavelength in formulas (λ) Be able to distinguish between transverse and longitudinal waves and give examples of each Know the parts of a transverse wave – crest, trough, wavelength, amplitude, speed Know the parts of a longitudinal wave – compression, rarefaction, wavelength, amplitude, speed Wave Motion Know that some waves require a medium, some do not Know that when a wave propagates through the medium, the medium oscillates, but does not propagate Know that energy is transmitted through space by the propagation of a wave Know the relationship between wavelength, wave speed and frequency of the wave Be able to find v, f, or λ given the other 2 quantities Know that the velocity of a wave is determined by the medium, so that in a given medium, v and f are inversely related Wave Interactions Know that many waves can occupy the same bit of the medium Know that waves pass through each other Define constructive and destructive interference Be able to determine the amplitude of the interference pattern, given the interfering amplitudes Know that waves can reflect when changing media Know that reflected waves are inverted Know that standing waves can be generated from the interference pattern made by a wave and its reflection (or any other source with the same frequency and amplitude) Be able to identify the nodes and antinodes for 1-D waves Know the amplitude of oscillation at the nodal points and antinodal points Be able to identify the nodal and antinodal lines for 2-D waves Relative Motion of Sources or Receivers Know that the wave generated by a stationary source will be different than that by one made by a source that is moving with respect to the medium Know that a moving source will affect the wavelength of the resulting wave and therefore the perceived frequency for a stationary receiver Know that a moving receiver will perceive a different frequency than a stationary receiver Be able to tell if frequency or wavelength is shifted up or down for situations in which the source or the receiver is in motion with respect to the medium Recognize that in cases where the source speed is greater than the wave speed, a single source can interfere with itself Define a bow wave Define a shock wave Know the conditions in which a sonic boom is made Know the conditions in which a sonic boom is heard Key Terms Wave Oscillation Vibration Period Frequency Hertz Kilohertz, megahertz, gigahertz Medium Propagate Crest Trough Wavelength Compression Rarefaction Amplitude Equilibrium position Transverse Longitudinal Pulse Interference Interference pattern Constructive interference Destructive interference Reflection Incident wave Standing wave Node Antinode Doppler effect Doppler shift Bow wave Shock wave Sonic boom Super sonic Formulas f 1 T T 1 f v f Threshold Problems Conceptual problems Hewitt p. 508 #1-3, 6-30, 34-54 Computational problems Hewitt p. 512 #61-67 Sound Important Topics Physical Nature of Sound Waves Understand that sound is a longitudinal compression wave of air molecules Identify parts/properties of sound waves - amplitude, node, wavelength, frequency & period Explain that sound causes objects (i.e., an ear drum or a guitar string) to vibrate at specific natural and resonant frequencies Describe/define the property “pitch” and how it correlates with sound wave frequency Describe/define the concepts “infrasonic” and “ultrasonic” and explain why dogs and bats hear ranges of sound outside the human range of hearing Define/describe the property “intensity” and how it correlates with sound wave amplitude as well as with loudness Relate decibel levels to common events (rock concerts, jack hammers, factory jobs, etc.) Propagation of Sound Through Matter Relate the speed of sound to the speed of vibrating particles within the medium Explain how sound wave interference can be “destructive” (subtractive) or “constructive” (additive) with respect to the original waves Recognize the role of interference in the tonal quality of different musical instruments Explain the effects of temperature, particle density and medium elasticity on the speed of sound. Describe how the Doppler effect changes frequency when a sound source is moving toward or away from the listener The Human Perception of Sound Describe how the outer ear captures sound waves Explain how the ear drum receives the outer ear vibrations and transfers them to the inner ear via the 3-bone structure Explain how the cochlea in the inner ear contain cilia (hair-like structures) that vibrate at a variety of resonant frequencies Understand that the cochlea converts sound pressure vibrations into electrical impulses sent to the brain. Key Terms pitch intensity infrasonic ultrasonic compression rarefaction resonance beats forced vibration natural frequency resonant frequencies Doppler effect ear drum cochlea Threshold Problems Conceptual problems Hewitt p.528 #1-26, 32, 33, 39, 40, 42, 43 Computational problems Hewitt p.530 #46, 50 Web Resources Hearing http://www.howstuffworks.com/hearing.htm Hearing & Complete information on sound http://hyperphysics.phy-astr.gsu.edu/Hbase/sound/soucon.html http://www.philtulga.com/MSSActivities.html Sound Important Topics Physical Nature of Sound Waves Understand that sound is a longitudinal compression wave of air molecules Identify parts/properties of sound waves - amplitude, node, wavelength, frequency & period Explain that sound causes objects (i.e., an ear drum or a guitar string) to vibrate at specific natural and resonant frequencies Describe/define the property “pitch” and how it correlates with sound wave frequency Describe/define the concepts “infrasonic” and “ultrasonic” and explain why dogs and bats hear ranges of sound outside the human range of hearing Define/describe the property “intensity” and how it correlates with sound wave amplitude as well as with loudness Relate decibel levels to common events (rock concerts, jack hammers, factory jobs, etc.) Propagation of Sound Through Matter Relate the speed of sound to the speed of vibrating particles within the medium Explain how sound wave interference can be “destructive” (subtractive) or “constructive” (additive) with respect to the original waves Recognize the role of interference in the tonal quality of different musical instruments Explain the effects of temperature, particle density and medium elasticity on the speed of sound. Describe how the Doppler effect changes frequency when a sound source is moving toward or away from the listener The Human Perception of Sound Describe how the outer ear captures sound waves Explain how the ear drum receives the outer ear vibrations and transfers them to the inner ear via the 3-bone structure Explain how the cochlea in the inner ear contain cilia (hair-like structures) that vibrate at a variety of resonant frequencies Understand that the cochlea converts sound pressure vibrations into electrical impulses sent to the brain. Key Terms pitch intensity infrasonic ultrasonic compression rarefaction resonance beats forced vibration natural frequency resonant frequencies Doppler effect ear drum cochlea Threshold Problems Conceptual problems Hewitt p.528 #1-26, 32, 33, 39, 40, 42, 43 Computational problems Hewitt p.530 #46, 50 Web Resources Hearing http://www.howstuffworks.com/hearing.htm Hearing & Complete information on sound http://hyperphysics.phy-astr.gsu.edu/Hbase/sound/soucon.html http://www.philtulga.com/MSSActivities.html Light Important Topics The Nature of Light Understand the duality of light Describe how the speed of light was measured Explain how light is comprised of perpendicular electric and magnetic transverse waves Understand the properties of wavelength and frequency Explain why light travels in a vacuum Electromagnetic Spectrum Describe the Electromagnetic Radiation Spectrum in terms of frequency, wavelength and energy Know the various categories of EM radiation Know the danger associated with the EM wavelengths smaller than visible light – UV, x-rays & gamma rays Explain the nature of transparent, opaque and metallic materials Describe how various types of shadows are formed Polarization Describe polarized light Explain that non-polarized light waves vibrate in different, random directions. Describe how polarizing glass works Explain how polarized glasses are used to view 3-D images Key Terms photon electromagnetic wave electromagnetic spectrum radio waves microwaves infrared radiation visible light ultraviolet radiation Threshold Problems Conceptual problems Hewitt p. 548 #1, 6-9, 10, 12, 20, 21, 24, 26-30, 36, 41, 46 Computational problems n/a Web Resources Electromagnetic Spectrum x-rays gamma rays transparent opaque http://imagine.gsfc.nasa.gov/docs/science/know_l1/emspectrum.html http://science.hq.nasa.gov/kids/imagers/ems/index.html http://hyperphysics.phy-astr.gsu.edu/hbase/ems1.html http://phet.colorado.edu/simulations/sims.php?sim=Radio_Waves_and_Electromagnetic_Fields Units 11, 12 & 13 Instructional Pathway Module 1: SNAPSHOT A wave can be characterized by the distance between crests and the frequency of the crests’ occurrence. Pacing: 10 days—2 weeks Objectives: Students will be able to: Identify the amplitude of vibration. Recognize the relationship between period and frequency. Calculate the period and frequency of an object vibrating with simple harmonic motion. Interpret waveforms of transverse and longitudinal waves. Apply the relationship between wave speed, frequency, and wavelength to solve problems. Relate energy to amplitude. Apply the superposition principle and differentiate between constructive and destructive interference. CE’s & PE’s: Content Expectations: Students will know that… CE 9-1-1: Waves are periodic phenomena in both time and space: the waveform repeats itself after a time, called a period, and at a distance, called the wavelength. (STANDARD 3.4.12.C) (ELIGIBLE CONTENT S11.A.3.3.3, S11.C.2.1.1) CE 9-1-2: Wave speed is determined by dividing the wavelength by period. (STANDARDS 3.1.12.C, 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-1-3: Periodic phenomena, like waves, are described mathematically by periodic functions, like sine and cosine. (STANDARDS 3.1.12.C, 3.4.12.C) (ELIGIBLE CONTENT S11.A.3.3.3) CE 9-1-4: The small vibrations of the pendulum are described by simple harmonic motion, a period that is independent from the amplitude. (STANDARD 3.4.10.C) Performance Expectations: Students will be able to… PE 9-1-1: Recognize wave phenomena and mathematically describe their features, in terms of wavelength and frequency. (STANDARDS 3.1.12.C, 3.4.12.C) (ELIGIBLE CONTENT S11.A.3.3.3, S11.C.2.1.1) PE 9-1-2: Calculate wave speed for various kinds of waves, including sound and light waves. (STANDARDS 3.1.12.C, 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) PE 9-1-3: Show how the periodicity of the waves is matched mathematically by the periodic functions, with appropriate variables and constants. (STANDARDS 3.1.12.C, 3.4.12.C) (ELIGIBLE CONTENT S11.A.3.3.3) PE 9-1-4: Determine the period of a simple pendulum, and classify the physical quantities on which it depends. (STANDARD 3.4.10.C) Text References, Materials & Supplies: Resources Hewitt Conceptual Physics p.490: standing wave lab Holt Physics Student Lab Manual, p. 47 – 49 Holt Problem Workbook, p107 Needed Supplies Styrofoam cups Water Slinky String Pendulum masses Chart paper or whiteboards Markers Holt Physics, p. 367 – 401—Chapter 11 One Stop Planner: Transparencies 46, 47, 39A, 48, 49, 50, 51, 52, 53 Computer and Internet access, LCD and Screen Overhead Projector and Transparencies or ELMO Instructional Pathway: 1. 2. 3. 4. 5. 6. 7. 8. Lab Activity on standing waves Investigation of pendulum periodic motion Lab investigation: producing a standing wave on a spring. Summarize work using the transparencies. Investigate the interaction of wave pulses on a slinky. Investigate the reflection of a pulse on a slinky Solve problems found in Textbook, pages 396-401 Test Assessments (formative and/or summative): Formative assessment is to be done as the teacher observes the students during the lab classes. The teacher is to check for student understanding by asking questions and directing the students to concentrate on different parts of the activities in order to answer the teacher’s questions Summative assessment Exam on Chapter 11 found on the Holt resources disk. Either the general level exam or the advanced level exam can b e used. A teacher generated exam is also acceptable Differentiation: Holt Problem Workbook, p. 107 Pendulum Lab, p. 402 of the Holt text Physics Unit: 9 Module 1: DETAILED INSTRUCTIONAL PATHWAY DAY 1 ENGAGE Provide the students with Styrofoam cups and water. They should follow the instructions on page 490 of Hewitt’s Conceptual Physics. Allow the students time to set up the experiment and practice producing waves in the water. The students should record their observations and answers to the questions they and the teacher generate. Ask the students to answer the following questions about the cup of water. What is causing the waves in the water? Would a different surface cause waves? What can you do to make the waves taller (higher) or shorter (deeper)? What can you do to change the distance between the waves. The students should write up their answers to these questions on either white boards or chart paper and be prepared to present them to the class. DAY 2 EXPLORE Set up the pendulum experiment found in the Discovery Lab: Pendulums and Spring Waves, on pages 47 to 49 of the student Lab manual. The lab is intended to provide the students with a chance to measure the period of a pendulum, adjust the pendulum to produce a specific period, and realize that pendulum length alone governs the period of the pendulum. This lab relates to the periodic nature of waves At no point does the lab include the effect of pendulum mass on the period of a pendulum. To compensate for this, either: Set up pendulums of different masses at each lab station and have the students compare the results at the end of the lab. OR Ask the students to repeat the lab with a different mass. OR SEE THE ENRICHMENT NOTE AT THE RIGHT DAY 3 EXPLORE/EXPLAIN The students should continue the lab experiment on page 49 of the student lab manual. After completing the portion of the lab on page 49 have the students produce a standing wave in the spring. Teacher Notes: Module 1 is Chapter 11 in the Holt text Day 1 The activity with the cup and water is intended to expose the students to the ideas: 1. Vibrations cause waves. 2. Different materials will vibrate at different rates. 3. Adjustments in the way the cup is held will result in vibrations that differ in rate and amplitude. This initial investigation is intended to provide the students with some experience with amplitude, frequency, period and wavelength. The students should not be expected to use these terms at this point in the unit. The use of proper vocabulary will be developed in later activities. This lab relates to the periodic nature of waves Enrichment The more advanced students could investigate the effects Guide the students to an understanding that: The person’s arm is vibrating left and right. The swinging arm produces waves in the spring just as the vibrating cup produced waves in the water. The period of the swinging arm is the same period of time between recurring features in the wave. Have the students define the meaning of Crest, Trough, Wavelength and Frequency Ask the students: 1. What would happen to a small paper ball that is dropped beside the spring vibrating with a standing wave? (It is propelled along a path that is perpendicular to stationary spring. This shows the direction of the motion of the individual coils of the spring in a transverse wave.). 2. How would you generate a wave with larger amplitude? 3. Does a larger amplitude wave require more energy to generate? (Yes, the hand is applying a force through a greater distance. This requires more work and thus more energy). 4. Does a higher frequency wave require more energy to generate? (Yes, if the amplitude is kept the same as other generated waves in the experiment. The hand pushing the spring is moving a greater distance in the same amount of time, therefore doing more work and requiring more energy). 5. What is the frequency at which you generate the wave on the spring? (How often is your hand returning to the left, or right, side of your body while the wave is generated?). 6. What is the period of the wave? (How much time passes between your hand moving from left to right and back to the left?) 7. What happens to the period of the wave when the frequency is doubled or tripled? 8. Diagram a standing wave on a spring and identify the crest, trough, wavelength, and direction of vibration. 9. Ask the students about steps 22 to 24 (this is a longitudinal wave). The lab experiment uses these steps to introduce the idea of a longitudinal vibration. These questions need to be asked to assist the student’s conceptual development of waves. of pendulum length and mass on the pendulum’s period in a formal lab experiment of teacher or student design. There is a lab found on page 402 of the Holt Physics Text that investigates the effect of pendulum length and mass on the period of a pendulum. This lab relates to the periodic nature of waves Day 4 ELABORATE Select a few student lab groups to quickly summarize what they have learned during the lab activities over the last three days. After the student presentations, show a sequence of five transparencies to summarize and explain the concepts of the last three days. Use Transparency TR46 to display a trapeze as a simple pendulum and relate the lab to a real life situation. This is figure 3 on page 373 of the Holt textbook. The transparencies are Transparency TR47 relates simple harmonic motion of a pendulum to a mass pushing and pulling a slinky along its longitudinal axis. Use this to explain why some waves are called Longitudinal Waves. Ask the students to explain the types of waves they investigated in the lab activities. This is table 1 found on page 375 of the Holt textbook found on the Holt Resources Disk. Use Transparency 39A (Table 2 on page 377 of the Holt Text) to reinforce the meaning of the terms amplitude, period and frequency Use Transparency TR48 (Figure 10 Page 383 of the Holt text) to relate a vibrating arm to transverse waves. Explain how the frequency of the arm matches the frequency of the transverse wave on the rope. Ask the students to explain what is happening to the red Dot and ask them questions that will guide them in developing an understanding that the rope does not move left to right. It moves only up and down, like the red dot. Involve the students in a discussion to explain what they think is moving from the left to the right. Allow them to suggest several alternatives and guide them to the correct answer, (An energy pulse), by asking a sequence of leading questions. Use Transparency TR49 to assist them in answering the last question. Use questions to stimulate the discussion that eventually leads them to the understanding that energy is being transmitted by transverse and longitudinal waves. Explain the relationship between the velocity, frequency and wavelength of a wave. The derivation of the equation is found on page 386 of the Holt text. Day 5 ELABORATE Review the velocity, frequency and wavelength equation, v = f Solve the sample problem D found on page 387 of the Holt Text and assign problems 1 to 4 on page 387 to provide the students practice in dealing with the relationships between velocity, frequency and wavelength. ENRICHMENT: If you have some extra time or the students have need for Day 6 EXPLORE/EXPLAIN enrichment, assign the Provide each lab group with a slinky. Review with the groups how to generate a pulse on one side of the slinky with a Wave Speed Problems found on page 107 of quick left/right movement that returns the student’s hand to the original the Holt Problem position. Workbook. Have two students on opposite ends of the spring, generate pulses on the same side of the slinky and then write and draw what occurs as the pulses meet in Day 5 is set aside for the middle of the slinky. the students to explore wave interference on a The teacher should ask the students to record their answers to the following slinky. questions in their notebooks. What happens to the two pulses generated on the same side of the slinky when they meet? What are your reasons for this answer? What happens to the amplitude of the pulses when they meet in the middle of the slinky? Would the same thing happen if the students generated pulses of different amplitudes and allowed them to meet in the middle of the slinky? What is the amplitude of the pulses after they move away from the middle of the slinky? The teacher should ask the students to record their answers in their notebooks. Have two students, on opposite ends of the spring, generate pulses on opposite sides of the slinky and then write and draw what occurs as the pulses meet in the middle of the slinky. What happens to the two pulses generated on opposite sides of the slinky when they meet? What are your reasons for this answer? What happens to the amplitude of the pulses when they meet in the middle of the slinky? Would the same thing happen if the students generated pulses of different amplitudes and allowed them to meet in the middle of the slinky? What is the amplitude of the pulses after they move away from the middle of the slinky? Day 7 Explain/ Elaborate The students should present their information and explain their results to either the class or to another lab group. Following the presentations, the teacher should summarize the lab process and present the following transparencies found on the Holt Resources CD: Transparency # TR50 TR51 Title Constructive Interference Destructive Interference Equivalent diagram in the book Figure 16 page 390 Figure 17 page 391 Day 8 EXPLORE/EXPLAIN This class is set aside for the students to explore reflection. Have one student generate a pulse on one side of the slinky while the student on the opposite end of the slinky holds the slinky in place and does not permit it to Some students will believe the pulses collide and bounce off of each other. By generating pulses of different amplitudes on opposite ends of the slinky, the students can see that the wave pulses pass through each other and do not bounce off of each other. Make sure that the students see the decrease in amplitude when pulses on different sides of the slinky meet. Also make sure that the students see an increase when pulses on the same side of the slinky meet. move. (fixed boundary reflection) The students should describe, in their notebooks, the reflected wave. Next tie a string to one end of the slinky and have the student on the end without a string generate a pulse.(free boundary reflection) The students should describe, in their notebooks, the reflected wave. Finally, have the students generate standing waves of different frequencies. The students should describe, in their notebooks, how the waves reflect in the standing waves that they produced. The students should present their information and explain their results to either the class or to another lab group. Following the presentations, the teacher should summarize the lab process and present the following transparencies found on the Holt Resources CD. Note to the teacher: The two type of reflection affect how a standing wave is set up. The type of reflection determines the Transparency # Title Equivalent diagram in overtones that are produced. the book TR52 Reflection of a pulse Figure 19 page 392 A student interested in TR53 Standing Waves Figure 20 page 393 an enrichment assignment could do For homework, assign questions 1 to 5 on page 394 some research on musical instruments Day 9 Elaborate and the types of Assign various questions and problems from Holt text, pages 396 to page 401 reflections that are to meet the abilities of your students. produced in standing waves in the Day 10 Evaluate instruments. Evaluate the students’ knowledge of vibrations and waves with either the general level exam or the advanced level exam for Holt, chapter 11. A teacher generated exam is also acceptable. Unit 11, 12 & 13 Instructional Pathway Module 2: SNAPSHOT Sound is a longitudinal wave Pacing: 5 Days—1 week Objectives: Students will be able to: Explain how sound waves are produced. Relate frequency to pitch. Compare the speed of sound in various media. Relate plane waves to spherical waves. Recognize the Doppler Effect, and determine the direction of a frequency shift when there is relative motion between a source and an observer. Calculate the intensity of sound waves. Relate intensity, decibel level, and perceived loudness. Explain why resonance occurs. Differentiate between the harmonic series of open and closed pipes. Calculate the harmonics of a vibrating string and of open and closed pipes. Relate harmonics and timbre. Relate the frequency difference between two waves to the number of beats heard per second. CE’s & PE’s: Content Expectations: Students will know that… CE 9-2-1: The directions of vibration and propagation of a wave may be perpendicular (light) or parallel (sound). (STANDARDS 3.2.12.A, 3.4.10.C) (ELIGIBLE CONTENT S11.A.3.3.3, S11.C.2.1.1) CE 9-2-2: Human perception of light and sound differs according to the transversal (light) and longitudinal (sound) nature of waves. (STANDARDS 3.2.12.A, 3.4.10.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-2-3: Relative motion of the source and the receptor of a sound create a change in the perceived frequency of the sound. (STANDARD 3.4.10.C) (ELIGIBLE CONTENT S11.A.3.3.3) CE 9-2-4: Standing waves in an air column produce a sound effect in wind instruments. (STANDARDS 3.2.12.A, 3.4.10.C) (ELIGIBLE CONTENT S11.A.3.3.3) Performance Expectations: Students will be able to… PE 9-2-1: Recognize the transversal and longitudinal waves. (STANDARD 3.4.10.C) (ELIGIBLE CONTENT S11.A.3.3.3) PE 9-2-2: Comment on the properties and perception of sound, such as speed, intensity, and pitch of sound. (STANDARDS 3.4.10.C, 3.4.12.C) PE 9-2-3: Estimate the magnitude of the Doppler Effect in various practical cases. (STANDARDS 3.2.12.A, 3.4.10.C) (ELIGIBLE CONTENT S11.A.3.3.3) PE 9-2-4: Account for the harmonics in various musical instruments. (STANDARDS 3.2.12.A, 3.4.10.C) Text References, Materials & Supplies: Resource Hewitt Conceptual Physics, p.514 Wave Interference. Also p.490 - 508 Needed Supplies Tuning Fork Slinky Holt Physics Student Lab Manual, p. 53 - 55 Holt Physics, p. 407 – 443—Chapter 12 Golf Club Tubes Holt Physics Text Skills Practice Lab, p440441 One Stop Planner: Transparencies 54, 55, 56, 57, 40A Computer and Internet access LCD and Screen Overhead Projector and Transparencies or ELMO Holt Physics, p. 367 – 401—Chapter 11 5 gallon buckets Water Smoke alarm buzzer 9 v. battery Foam ball Instructional Pathway: 1. Hewitt text - demonstration p 514 2. Three part student lab - Student Lab Manual, p 53 - 55 3. Discussion of previous days work using transparencies. 4. Doppler Effect demonstration 5. Skills practice lab – Speed of Sound 6. Internet demonstration of beating 7. Evaluation Assessments (formative and/or summative): A teacher generated exam on this material. Differentiation: Pick and choose portions of Section 2, Sound Intensity and Resonance; and Section 3, Harmonics. This can be done in regular class time or assigned as advanced assignments. For those students in need of further work on sound, and if the lab is equipped with Vernier interface equipment, have the students complete all or part of the CBL lab Sound Waves and Beats, found in the CBL Lab Manual, pages 179 to 187 Module 2: DETAILED INSTRUCTIONAL PATHWAY Teacher Notes: DAY 1 Engage Use a tuning fork to demonstrate that vibration produces sound. Differentiation / Scaffolding & Common Misconceptions Hewitt Text, page 514. Use the Discover demonstration to show that sound waves can interfere with each other, just as pulses on a coil spring can interfere with each other. Teacher Note: This module is found in chapter 12 of the Holt Physics Text. Direct the students’ attention to a slinky and show how waves can be generated using a pushing and pulling motion. Point out that this is the same motion used by the tuning fork to generate sound. Set up the lab experiment found on pages 53 – 55 of the Student Lab Manual. This lab can be set up as three different stations in order to save time. Most mounted tuning forks are sold as resonant pairs and it is difficult to change one of them without damaging the resonant boxes. (part two of the lab) This part of the activity may have to be eliminated. The third part of the lab dealing with resonant frequency can use 5 gallon wax buckets that can be gathered from the custodian over a number of months and a set of plastic golf tubes The five gallon bucket can be filled with water and the golf tube is dropped into the bucket. A vibrating tuning fork is then placed at the end of the tube. As the tube is raised or lowered in the water the tube will produce an amplified musical tone as the resonant length of the air in the tube is approached. Ask the students what will happen if the tuning fork is rotated 90 degrees at the opening of the golf tube. Ask the students if they can describe what is happening and relate it to the standing wave they produced on the slinky in the last chapter. Ask them to describe the pitch of the resonant frequency of the longest air column in the golf tube. Ask them to describe the pitch of any other resonant frequency that is produced as the length of the air column in the golf tube is shortened. Ask the students to develop some statement that relates the length of air column to the frequency of the resonant musical pitch that is produced An alternate version of the lab uses two pendulums consisting of a coiled spring and a pendulum mass tied to a horizontal string. Another alternative uses pendulums on a string and connected to a horizontal string. In all cases, one pendulum is set in motion and loses amplitude as the companion pendulum increases its amplitude. Golf Club tubes are sold for a dollar each in sporting goods stores, in the golf department. They are used to separate the golf clubs from each other in the golf bag. They prevent golf clubs from banging together. The tubes are soft plastic that can be cut to different lengths with a razor blade. DAY 2 EXPLORE/EXPLAIN Through discussions with the students, guide them to an understanding that the resonant frequency is the result of a standing wave in the tube. This standing wave sets up a constructive interference that amplifies the pitch of the tuning fork. Use the transparency TR54 to help the students understand how a tuning fork creates rarefactions and compression in the air. (figure 1 page 408) Use the transparency TR55to help the students understand how the compressions and rarefactions can be equated to a transverse wave. Make sure the students understand that sound waves are different in that they vibrate back and forth along the direction of travel. (figure 2 page 409) Use transparency TR56 to help the students understand how sound wave fronts expand in a spherical pattern. Doppler Effect Demonstration Connect a smoke alarm buzzer to a 9 volt battery and put it into a foam ball. Have the students listen to the buzzer while the foam ball is stationary. Then have the students listen to the foam ball as they throw the ball around the classroom. As the ball passes students the pitch of the buzzer will appear to increase and decrease in pitch. Ask the students to explain how the pitch appears to change while the ball is in motion. Use transparency TR57 (figure 5 page 412) to help the students understand what is happening to the wave fronts surrounding the moving ball. Ask the students to write out the explanation of how the distance between wave fronts affects the pitch. Guide them through the discussion to the conclusions: A shorter distance between the wave fronts causes human ears to hear an increased frequency. The pitch appears to go up. A longer distance between wave fronts causes human ears to hear a decreased frequency. The pitch appears to go down. Assign the Section review on page 413 to assist the students understand section 1 on sound waves. See the enrichment note at the right Day 3-ELABORATE The students should complete the Skills Practice Lab-Speed of Sound, found on pages 440 to 441 of the Holt Physics textbook. Enrichment For advanced students, or if you have some extra time, pick and choose portions of Section 2, Sound Intensity and Resonance; and Section 3, Harmonics. This can be done in regular class This lab uses resonance to help the students calculate the speed of sound in air and helps them to understand that the speed is dependent upon the air temperature. time or assigned as advanced assignments. OR If your lab is equipped with Vernier Interfaces and probes, the same experiment can be performed. The write up of the procedure and instructions can be found on page 938 and 939 of the Holt Physics textbook Transparency TR40A provides the speed of sound at different temperatures and in different materials Day 4 ELABORATE Many of the students are trained to listen for beats when tuning a guitar without the assistance of a tuning machine If your lab is equipped with matched tuning forks that have weights on one of the tuning forks to allow its frequency to be adjusted by a few cycles per second, Ask the students to listen quietly to what they are hearing when the two tuning forks are struck, and allowed to vibrate, at the same time. They will typically talk about an increase and decrease in volume (amplitude). Through a discussion with the students, remind them of constructive and destructive interference. Have them explain how interference might affect the amplitude of a wave. If you have Internet access and speakers on a workstation in class, access the following website to demonstrate the beating phenomena: http://www.sciencejoywagon.com/explrsci/media/tonebeat.htm DAY 5 EVALUATE Evaluate the students understanding of sound waves using a teacher generated quiz. TEACHER NOTE During the beating process, the up and down shift in amplitude occurs once each second for each hertz difference in the two frequencies. Enrichment: For those students in need of further work on sound, and if the lab is equipped with Vernier interface equipment, have the students complete all or part of the CBL lab Sound Waves and Beats, found in the CBL Lab Manual, pages 179 to 187 Units 11, 12 & 13 Instructional Pathway Module 3: SNAPSHOT The speed of light is the speed limit set by nature. Pacing: 1 week Objectives: The Students will be able to: Identify the components of the electromagnetic spectrum. Calculate the frequency or wavelength of electromagnetic radiation. Recognize that light has a finite speed. CE’s & PE’s: Content Expectations: Students will know that… CE 9-3-1 The speed of light is considerably faster than the speed of sound. (STANDARD 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-3-2: Light propagates as a transverse electromagnetic wave, which consists of changing electric and magnetic fields. (STANDARDS 3.4.10.C, 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-3-3: Visible light can be approximated as rays; some of the rays are reflected off the boundary and some of them penetrate the other media. (STANDARDS 3.2.12.A, 3.4.10.C) (ELIGIBLE CONTENT S11.C.2.1.1) Performance Expectations: Students will be able to… PE 9-3-1: Compare the speeds of light and sound and arrive at practical conclusions about the difference in properties and perception of light and sound. (STANDARDS 3.2.12.A, 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) PE 9-3-2: Comment on the nature of light as a transverse electromagnetic wave propagating with a constant speed. (STANDARDS 3.4.10.C, 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) PE 9-3-3: Sketch a diagram of reflection of light rays off a mirror and comment on mirror reflections. (STANDARDS 3.2.12.A, 3.4.10.C) Text References, Materials & Supplies: T Resource Hewitt conceptual Physics, p 534 - 539 Holt Physics, p. 446 -454 Problem Workbook, p 111 Needed Supplies Chart paper or whiteboards Markers Slinky 3 cm diameter spring- 2 meters long Computer and Internet access LCD and Screen Overhead Projector and Transparencies or ELMO Flashlight Laser Spray bottle of water Instructional Pathway: 1. Speed in a spring investigation. 2. Pulse reflection and transmission at the connection between two springs. 3. Reflection demo on a sheet of glass 4. Speed of light discussion 5. Inverse square law of light intensity 6. Problem solution 7. Assessment Assessments (formative and/or summative): Teacher generated quiz Differentiation: none Module 3: DETAILED INSTRUCTIONAL PATHWAY Engage Day 1 Light has a speed limit determined by the material in which it moves. This can be demonstrated by connecting two springs so that each has one free end and one end connected to the other spring. The one spring is a slinky; the other is a 2 meter long spring of about 3 cm. diameter. The slinky is very “soft”, or has low spring constant compared to the two meter long 3 cm diameter spring. Both springs are available from any science supply house. Divide the students into groups and have one of the students in each group generate a transverse pulse on one side of the slinky. Have the students observe and record what happens to the pulse when it meets the 3 cm diameter spring. Have the students stretch the 3 cm spring and observe what happens to the pulse generated on the slinky when it enters the spring when it is stretched, or has less coils per centimeter (less dense). DAY 2 ENGAGE/EPLORE Now reverse the direction of the wave. Generate the pulse on one side of the 3 cm diameter spring and allow it to travel into the slinky. Also, generate the pulse on the 3 cm. diameter spring and allow it to enter a slinky that has less coils per cm. (stretched slinky) The students should share what they observed by way of short presentations or posting of the results on chart paper Question the students on what they know about how light behaves when it meets a window (transmission and reflection). Shine a light onto a sheet of glass. Ask the students a series of questions that helps them to realize that light is both reflected and transmitted when it meets glass. Point out that this is just what happened to the wave pulse on the slinky and the 3 cm. diameter spring. Explain why we are interested in the interactions. Involve the students in a discussion of the speed of the wave in the springs and how this is determined. Make sure the students realize the speed change is a result of the fact that the material through which the wave travels determines the speed of the wave. Teacher Notes: Differentiation / Scaffolding & Common Misconceptions Notes on Slinky Activity. Part of the pulse energy will reflect from the slinky and spring boundary. Some of the energy will transfer to the 3 cm. diameter spring and create a smaller amplitude pulse on the same side of the spring as the slinky. The transmitted pulse will move slower. When the direction is reversed, the pulse entering the slinky from the 3 cm. diameter spring speeds up. All of these results are important for speed, reflection and refraction. Day 3 Explain Refer the students to pages 534- 535 of the Hewitt textbook. Engage the students in a discussion that develops an understanding of the methods used by Roemer, Huygens and Michelson to measure the speed of light. Point out that light is a partially electric and partially magnetic wave. See the Holt text diagram page 447 diagram 2 Point out that light is a small portion of the electromagnetic spectrum and that all the electromagnetic waves are transverse waves with a speed determined by the material through which they pass. The students should understand that light travels at 3 x 108 m/sec in a vacuum and that the speed of light is slower in a more dense material like air, glass and water. Remind the students that this decrease in speed is in line with the speed change observed when the pulse traveled from a less dense spring to a more dense spring. The students should understand that transparent materials have atoms that absorb light energy and immediately reemit the energy as light. Even though the light appears to pass through the transparent material without interacting with it, the absorption and remission of the energy takes a little more time and so the transmission of light through a transparent material takes more time than is required to pass though the same distance in a vacuum. In other words, the light slows down. The more time required for the absorption and reemission of the light energy, the slower the speed of light in the transparent material. The students should also understand that opaque materials also have atoms that absorb light energy. However, the atoms of opaque materials emit the absorbed energy in a totally random manner that turns the light into internal kinetic energy in the opaque material. (See pages 537 to 539 of the Hewitt text) Day 4 ELABORATE Use a sprayer bottle filled with water to demonstrate the inverse square law that governs the intensity of light at a surface. Spray the water downward from the bottle at a distance of 10 cm. The students should calculate the wet area created by the spray bottle. Ask the students to guess what would happen to the area wet by the spray bottle when the distance to the surface doubles. Double the distance and spray water from the bottle. Through discussions with the students, help them to understand the same amount of water is sprayed when the bottle is close and farther away from the surface so the bigger area wet by the water from a greater distance has less water per square centimeter than the same area wet from the bottle from a smaller distance. Relate this to the amount of light falling on a surface from a flashlight. The flashlight at a greater distance lights up a larger area, but with less intensity. The Misconceptions. Some students believe that sound and light differ only in frequency. Make sure they realize that sound is a mechanical wave that vibrates matter back and forth along its direction of travel as it passes through the material. Light is a transverse electromagnetic wave that does not need a material to travel from one place to another. students could say that this light is not as bright. Through discussion, help the students to realize that the light intensity is inversely proportional to the distance from the light source squared. Demonstrate the solution of problems using the equation v = f. (c = f in the Holt Text). Sample problems for this section are found on page 448 of the textbook and on page 111 of the Problem Workbook. Assign the problems appropriate for the abilities of the students in the class. The problems are found on page 449 of the Holt text and on page 111 of the Holt Problem Workbook Day 5 EVALUATE Evaluate the students understanding of the topics in this section with a teacher generated quiz. Unit 11, 12 & 13 Instructional Pathway Module 4: SNAPSHOT A fish sees the world differently from us, and its view from underwater is limited by a welldefined angle. Pacing: 32 days –6.4 weeks Objectives: Students will be able to: Distinguish between specular and diffuse reflection of light. Apply the law of reflection for flat mirrors. Describe the nature of images formed by flat mirrors. Calculate distances and focal lengths using the mirror equation for concave and convex spherical mirrors. Draw ray diagrams to find the image distance and magnification for concave and convex spherical mirrors. Distinguish between real and virtual images. Describe how parabolic mirrors differ from spherical mirrors. Recognize situations in which refraction will occur. Identify which direction light will bend when it passes from one medium to another. Solve problems using Snell’s law. Describe how light waves bend around obstacles and produce bright and dark fringes. Calculate the positions of fringes for a diffraction grating. Describe how diffraction determines an optical instrument’s ability to resolve images. Describe how light waves interfere with each other to produce bright and dark fringes. Identify the conditions required for interference to occur. Predict the location of interference fringes using the equation for double-slit interference. CE’s & PE’s: Content Expectations: CE 9-4-1 The speed of light and sound depends on the media through which the waves propagate. (STANDARD 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-4-2: Refraction occurs when the speed of light changes at the boundary of two optically different media. (STANDARDS 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-4-3: Optical lenses produce a variety of images, depending on their focal length and the distance of an object from the lens. (STANDARD 3.4.10.C) CE 9-4-4: The human eye contains a natural converging lens; its shortcomings may be corrected by man-made lenses. (STANDARDS 3.2.12.A, 3.4.10.C) CE 9-5-1: Light waves interact with each other producing beautiful interference pictures. (STANDARD 3.4.10.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-5-2: If the size of an obstacle is comparable with wavelength, the wave can actually bend around it, producing the spots of light at the location of geometrical shadow. (STANDARD 3.4.10.C) (ELIGIBLE CONTENT S11.C.2.1.1) CE 9-5-3: X-rays have short wavelengths comparable to atomic size, and can thus penetrate soft tissue. (STANDARD 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) Performance Expectations: Students will be able to… PE 9-4-1: Apply Snell’s law of refraction to realistic situations. (STANDARDS 3.2.12.A, 3.4.10.C, 3.4.12.C) PE 9-4-2: Sketch ray diagrams to determine the type of image created by a lens. (STANDARDS 3.2.12.A, 3.4.10.C) PE 9-4-3: Apply the thin-lens equation and magnification factor to practical problems. (STANDARDS 3.2.12.B, 3.2.12.C, 3.4.10.B, 3.4.12.B, 3.4.12.C) PE 9-5-1: Interpret an interference pattern in terms of the minima and maxima of light intensity. (STANDARDS 3.2.12.A, 3.4.10.C) PE 9-5-2: Explain the nature of diffraction and describe its applications. (STANDARDS 3.2.12.A, 3.4.10.C) PE 9-5-3: Recognize various types of waves in the light spectrum, and explain their properties and applications. (STANDARDS 3.2.12.A, 3.4.10.C, 3.4.12.C) (ELIGIBLE CONTENT S11.C.2.1.1) Text References, Materials & Supplies: Resource Needed Supplies Holt Physics, Quick Lab p. 122 Plane mirror Holt Physics, p. 451-480, & 487 - 515 Laser One Stop Planner: Transparencies 63, 64, 65, 66, 67, 46A, 70, 71, 72, 49A, 73, 74, 75, 76, 79, 50A, 51A, 52A, 80,81,82, 83, 53A Pins Concave and convex mirrors Holt Problem Workbook p. 117 – 119, 123 126 Large bottle of water Slinky Holt Quiz Book 85, 86, 87, 88, 91, 92, 93, 94, 97, 98, 99, 100 Refraction block Hewitt Conceptual Physics Book 625 - 629 Hewitt Conceptual Physics Book-Teacher p 606-609 Concave and convex lenses Rive Ray Box Overhead projector 8” x 8” x 2” clear baking dish Fresnel lens Holt Lab book p. 59 – 61, 65 - 67 Instructional Pathway: 1. Reflection demonstrations 2. Reflection Labs- flat mirror 3. Reflection labs-curved mirror 4. Review and summarize with transparencies 5. Solve reflections problems for curved mirrors. 6. Quiz 7. Refraction demonstrations 8. Refraction Lab 9. Refraction discussion 10. Concave lens lab 11. Oral lab report 12. Discussion and explanation with transparencies 13. Index of refraction discussion 14. Snell’s Law problems 15. Quiz 16. Refraction lab-lens 17. Rive Ray Box labs/demonstrations 18. Image formation lab/demonstration 19. Solve thin lens problems 20. Discussion of lens and image formation as a review for the quiz 21. Quiz 22. Interference demonstrations 23. Mathematical explanations of interference. 24. Solve interference problems. 25. Review for a quiz 26. Quiz 27. Diffraction demonstrations 28. Enrichment-Poisson’s Spot demonstration 29. Mathematics explanations of interference 30. Diffraction gratings 31. Review for a quiz Assessments (formative and/or summative): Assorted quizzes. Differentiation: Day 6: extra problems: concave and convex mirrors Day 13: extra problems: Snell’s Law Day 20: extra lens magnification problems Day 24 and 25: Interference Problems Day 28: Poisson’s Spot Day 29: Mathematics of diffraction Module 4: DETAILED INSTRUCTIONAL PATHWAY Teacher Notes: DAY 1 ENGAGE Demonstration: (If your lab has enough equipment, set this up as an inquiry lab.) Mount a mirror on a wall or cabinet. Shine a thin beam of light or the light from a laser pointer onto the mirror. Introduce chalk dust into the beam so that the students can clearly see the light as it approaches the mirror and than how it bounces off of the mirror and strikes some prearranged target. Have three students hold a large piece of string so that one end is at the light source, one point of the string is where the light strikes the mirror and the opposite end of the string is at the point at which the reflected light strikes the target. Have the students measure the angles between the mirror and the incident and reflected beams of light. From these angles it is possible to get the angle between the incident and reflected beams. Set up a drawing and fill in the measured angles. Add a line perpendicular to the mirror. Measure the incident angle between the incident ray and the perpendicular line and the reflected angle between the reflected ray and the perpendicular line. Compare the incident and reflected angles. In discussions with the students, guide the students to the idea that the Law of Reflection states that the incident angle equals the reflected angle. Make sure that they know that these angles are measured between the line perpendicular to the mirror and the incident ray and the perpendicular line and the refracted ray. Demonstration In a darkened classroom, shine a thin beam of light on a mirror sitting on the table top. Allow the beam to shine on a target screen or wall so that the students can see the reflected light. Also shine a thin beam of light onto the table top. Do not use a mirror. The students should see a difference in the reflected light. The one reflected from the table top will be fuzzy and diffuse - Diffuse Reflection. The one reflected from the mirror will be sharp and well defined - Specular Reflection Prep the students for the reflection lab on day two. Day 2 Reflection Lab: ENGAGE/EXPLORE The students should complete the Flat Mirror Reflection lab activity found on page 60 of the lab manual. Draw the students’ attention to the similarity between the initial activity and this mirror and pin activity. Reinforce the idea that the incident angle equals the reflected angle. Differentiation / Scaffolding & Common Misconceptions Day 3: EXPLORE The students should complete the virtual images lab found on page 59 of the lab manual. The purpose of this lab is to help the students locate the position of images found in a mirror (virtual images) The image should be located the same distance “into” the mirror as the object is positioned in front of the mirror. The students should also notice that the image in the mirror is reversed. Reinforce the idea that the image is reversed and located the same distance into the mirror. Day 4: EXPLORE The students should complete the curved mirror lab found on page 61 of the lab manual. The purpose of this lab is to help the students describe the images formed by a curved mirror The students should watch for the size, location and orientation, (erect or inverted) Through discussions with the lab groups, reinforce the ideas that the image is determined by the position of the object. A summary of the lab can be found in Table 4 found on page 460 of the Holt text Day 5: EXPLAIN/ELABORATE Summarize the work of the last four days by reviewing the slides below Slide # Topic TR63 Image Formation with a flat mirror Image formation by a concave spherical mirror Images Created by a concave mirror Image formation by a convex mirror Image aberration and Parabolic Mirrors Sign Conventions and Rules for drawing reference Rays TR64 TR65 TR66 TR67 TR46A Diagram or table in the Holt text Figure 8 p. 453 Figure 11 p. 456 Table 4 page 460 Figure 13 p 463 Figures 14 and 15 p. 467 Different form of the slide Table 5 page 464 Day 6: ELABORATION Introduce the mirror equation found on page 457 and the magnification equation found on page 458 of the Holt text. Explain how this equation can be used to design reflection systems without the need for trial and error. Solve the Concave mirror sample problems on pages 461 & 462 of the Holt text and the Convex mirror sample problem on pages 465 & 466 of the Holt text. Depending upon the abilities of your students, assign some or all of the problem from problem set B from Holt, page 462 and problem set C from Holt, page 466. If desired, and if time permits, additional problems can be found on pages 112 to 115 of the Holt Physics Problem Workbook. Day 7 EVALUATION Determine the students level of understanding of reflections from flat and plane mirrors through the use of either a teacher generated quiz or the quizzes on plane mirrors found on pages 85 and 86 of the Holt Quizzes Book and the quiz on curved mirrors found on pages 87 and 88 of the Holt Quizzes Book Day 8: ENGAGE Place a large bottle of water (remove the label) on a table. Shine a thin beam of light (a laser pointer may work just as well) on the bottle and move it from side to side on the bottle. Ask the students to explain in writing why they believe the beam of light changes direction. The answers will vary. OR Perform the demonstration found on page 490 of the teacher’s edition Ask the students if they remember the slinky connected to the 3 cm. diameter spring. The slinky pulse slowed when it entered the 3 cm diameter spring and it speeded up when the pulse on the 3 cm spring entered the slinky. Through discussion with the students, guide them to the understanding that the light slows down when it enters the water bottle and speeds up when it emerges into the air. This changes the direction of the light beam. Ask the students if there is anything else that is changing as the light beam moves across the diameter of the bottle (the incident angle changes). Guide them through a discussion to an understanding that the amount of direction change is determined not only by the type of material the light wave is entering. but also by the angle of incidence. Day 9: EXPLORE The students should complete the Principles of Refraction lab found on pages 65 and 66. It is possible to substitute straight pins and a refraction block if your lab is equipped with them. A laser pointer and a refraction block also work well. As the students are working, ask them guiding question about the direction the light beam turns when it enters the container (glass refraction block, etc) and the direction it turns when the light beam leaves the container. Ask them if they can make a statement about the relative density of the materials (air and the container) and the direction of the light beam turns? Day 10: EXPLAIN In a short discussion with the students, explain that the light beam turns toward the perpendicular line when entering a more dense material (container) and it Misconception: Refraction Students may think that the frequency of light changes as light enters a different medium. Point out that the frequency cannot change. If the refracted frequency were less than the incident frequency, wave crests would have to “pile up” somewhere. If the refracted frequency were greater than the incident frequency, crests would have to “pop up” from nowhere. TEACHER NOTE If necessary, review the angle of incidence from reflection turns away when entering a less dense material (air). Based upon this explanation, ask the students to write a short description of how they think a lens might work. (same concept.) The students should complete the lab activity on convex lenses found on page 67 (Steps 11 through 13) of the Holt Lab Experiments Book. Record their answers in the form of notes and drawings in their notebook Day 10: EXPLAIN The students should complete the lab activity on concave lenses found on page 67 (Steps 14 through 16) of the Holt Lab Experiments Book. Record their answers in the form of notes and drawings in their notebook. Day 11: EXPLAIN The students present their results in either a short oral lab report, or by creating a poster of their results on large chart paper. Day 12: ELABORATE Use the slides and figures below to assist the students in explaining what is occurring when waves enter a refracting media. Transparency # Title Figure or table in the Holt textbook TR70 Refraction Figure 2 p. 488 And figure 29.18 on page 587 of the Hewitt Text TR71 Refraction and the wave Figure 3 p. 489 model of Light And figure 29.17 p.587 in the Hewitt Textbook TR72 Image positions for objects Figure 4 p. 491 in different media TR49A Indices of Refraction for Table 1 page 490 different media Introduce the concept of the index of refraction and how the index is determined (See page 490 of the Holt Textbook). Add Snell’s law to the discussion to account for the angle of refraction. Guide the students through a short discussion that helps them to understand that refraction is governed by both the index of refraction and the angle of incidence. DAY 13: ELABORATE After demonstrating the solution to Sample Problem A on page 492 of the text, dealing with Snell’s Law, assign problems matched to your students’ abilities found on page 493 of the text. If time permits, or the need exists for additional problem practice, assign a selection of problems found on page 117 of the Holt Physics Problem Workbook TEACHER NOTE: Angle of Refraction is governed by: the index of refraction the incident angle TEACHER NOTE At this point in the school year it is sometimes difficult to plan duration of lessons due to the constant interruption from DAY 14: ELABORATE Discuss the homework and review for the quiz Day 15: EVALUATE Determine the students level of understanding of refraction through the use of either a teacher generated quiz or the quizzes on refraction found on pages 91 and 92 of the Holt Quizzes Book DAY 16: ENGAGE/EXPLORE The students should complete the Quick Lab found on page 496 of the Holt Physics Text. Engage the students in a discussion that seeks to develop the student’s understanding that the lens refraction ability is bending rays by an amount that changes as the curve of the lens causes a change in the incident angle of the incident ray. If you have a Fresnel lens, ask the students how this lens works. The answers will vary. See the explanation in the right column. DAY 17: ENGAGE/EXPLORE Demonstration or Lab Activity 1 Using a device for producing parallel light rays, project parallel rays that intersect a cross section of a convex lens. Point out that the point at which the convex lens brings the rays to a point is the same focal point measured in the activity of the day before. Make this activity a lab activity if you have enough Rive Ray Boxes to set up a lab experiment Demonstration or Lab Activity 2 Project the same parallel rays onto a cross-section of a concave lens. Ask the students to explain why this lens cross-section causes the rays to diverge. Make this activity a lab activity if you have enough Rive Ray Boxes to set up a lab experiment The answers will vary. Guide the students in a discussion that accepts all student answers and guides them to recognize the difference between the concave lens and the convex lens is the incident angle. This is the reason for the different effect on the parallel light rays. DAY 18: ENGAGE/EXPLORE Demonstration or Lab Activity 3 Provide the students with Concave and Convex lenses and allow them to experiment with producing images by looking through them at the object and projecting light from the lenses onto a screen. Have the students set up lenses to duplicate the six situations found on page 497 of the Holt Physics Textbook. In discussions with the students make sure they understand the differences between real and virtual images. proms, field trips, assemblies, class meetings, testing and other reasons for which it is necessary to pull your physics students out of the classroom. It is up to the teacher to decide if the needs of the students are best met by running the activities at the left as demonstrations or labs. Be aware that the rules for drawing ray diagrams for lenses are the same rules for drawing ray diagrams for mirrors FRESNEL LENS The thickness of the lens DOES NOT cause a larger angle of refraction. The greater angle of incidence at the edge of the lens causes a greater angle of refraction at the edges of the lens. A flat Fresnel lens works because each circle on the lens has a different incident angle. The Fresnel lens is constructed so that the incident angle is greater for each circular element as the radius increases. DAY 19: EXPLAIN Demonstration or Lab Activity 4 The instructions for drawing ray diagrams for thin lenses are provided in the Hewitt Teacher Textbook on pages 606 to 609. Provide a sequence of partial ray diagrams that provide a horizontal line, a lens, the focal lengths and an arrow to represent an object. Have the students complete the ray diagram to show the size of the image, the position (erect or inverted), and the distance from the lens, whether it is real or virtual. DAY 20: ELABORATE Introduce the students to the thin lens equation and the lens magnification equation. Solve sample problem B on thin lenses found on Holt page 500 and 501. According to time restrictions and your students abilities, assign the problems on page501. Additional problems can be found on pages 118 and 119 of the Holt Physics Problem Workbook DAY 21: ELABORATE Check the students understanding of the problems assigned yesterday and correct any misunderstandings. Review for the quiz assisted by the following slides, figures and diagrams. Transparency # TR73 TR74 TR75 TR76 Title Lenses and Focal Length Images created by converging lenses Images created by diverging lenses Nearsighted and Farsighted Figure or table in the Holt textbook Figure 5 p. 494 Figure 6 p.495 Table 3 p. 497 Figure 7 p. 498 Table 5 p. 502 Fig. 30.19 p. 614 Hewitt Day 22: EVALUATION Determine the students level of understanding of image formation using thin lenses through the use of either a teacher generated quiz or the quiz on thin lenses found on pages 93 and 94 of the Holt Quizzes Book Day 23: ENGAGE Demonstration 1 Perform the demonstration on interference found on Holt, page 526. Demonstration 1A Reflection, Refraction and Diffraction change a wave’s direction. Another method is to set up two computer workstations within 3 meters of each other and use them to generate the same single frequency musical tone. The following website will produce musical tones. http://www.sciencejoywagon.com/explrsci/media/tonebeat.htm Interference does not change a wave’s direction. It is mentioned here because it is one of the Demonstration 2 A clear 8” by 8” by 2” baking dish can be set on an overhead projector and waves properties of a wave. can be produced by a wave machine. The shadows of the waves can be projected on the screen. Pictures of some ripple tank interference patterns can be found on Interference of light pages 628 and 629 of the Hewitt textbook. waves creates bright areas (constructive interference) and dark Demonstration 3 It will probably be necessary to actually draw two waves on a single horizontal areas (destructive line and show how they interfere constructively and destructively in two interference). dimensions. After drawing the resultant wave, the diagrams of two waves interfering on Holt page 526 will make more sense. Demonstration 4 This Interference demonstration is found on page 622 of Hewitt’s text. This interference pattern results in colors from a thin film. Do the set up and production of the thin film a few days before the class meets. Allow it to dry in order to see the colors. Show the students how the thin film is created and then set the new film aside. Take out the previously constructed and dried thin film for the immediate presentation. Day 24: EXPLORE/EXPLAIN A more mathematical method of presenting interference is found on pages 527 to 530 of Holt Physics. Use this information, depending on available time and the ability of the students. Day 25: ELABORATE Assign the solution of the interference problems, found on page 531. Day 26: ELABORATE Review the solution of the problems and correct any difficulties the students may have. Review for a quiz using the following transparencies, figures and diagrams. Transparency # Title Figure or table in the Holt textbook TR79 Conditions for the interference Figure 6 p. 528 of Light Waves TR50A Comparison of waves in phase and 180degreesout of phase ENRICHMENT Day 24 and 25 are possible topics for enrichment TR51A TR52A Path Difference for waves from two slits Position of Higher Order Fringes Figure 7 p. 529 Figure 8 p. 530 Day 27: EVALUATION Determine the students level of understanding of Interference through the use of either a teacher generated quiz or the quiz on interference found on pages 97 and 98 of the Holt Quizzes Book Day 28: ENGAGE Demonstration 1 Use the overhead ripple tank described on day 23, demonstration 2, to show wave diffraction in the area of a barrier. See the ripple tank pictures on page 625 of Hewitt Waves moving in directions, other than straight ahead, result from diffraction. Demonstration 2 Turn out the lights in the classroom and lower the blinds. Open the classroom door a very small amount. The light cast on the floor from the hall will diverge in an ever widening path. This is the result of diffraction. Demonstration 3 In the darkened classroom shine a laser beam on a diffraction grating. It will produce a central bright spot and a number of less bright secondary bright spots to the left and right of the central bright spot. The bright spots are the result of diffracted waves that interfere with each other after the diffraction Demonstration 4--Enrichment Poisson’s Spot demonstration, found on page 534 of Holt, is an advanced demonstration that might require some discussion that is above the level of a number of students. Use if you feel your students are advanced enough. The full explanation is provided, with the description, on page 534 Day 29: EXPLORE/EXPLAIN/EVALUATE --Enrichment A discussion of the mathematics of diffraction should occur here dealing with the information found on pages 532 to 538 of the Holt Physics Text. Day 30: ELABORATE--Enrichment Introduce the students to the mathematics surrounding diffraction gratings Solve sample problem B on thin lenses found in Holt, pages 537 and 538. According to time restrictions and your students abilities, assign the problems on page 538. Additional problems can be found on pages 123 to 126 of the Holt Physics Problem Workbook A more conceptual discussion can be found in Hewitt: Conceptual Physics, pages 625 to 627 Day 31: ELABORATE Review for a quiz Transparency # Title TR80 TR81 TR82 TR83 TR53A Figure or table in the Holt textbook Diffraction of Light with Figure 11 p. 533 decreasing slit width Constructive Figure 16 p.535 interference by a diffraction grating Function and use of a Figure 17 p. 536 diffraction grating in a spectrometer Resolution of two light Figures 20 & 21 p. 539 sources Destructive interference Figure 12 p. 533 in single slit diffraction Day 32: EVALUATION Determine the students level of understanding of Diffraction through the use of either a teacher generated quiz or the quiz on diffraction found on pages 99 and 100 of the Holt Quizzes Book Units 12 & 13 CULMINATING PROJECT Pacing: 1 Period Suggested Performance Assessment: Estimating Distance Using Light and Sound Waves Teacher’s Notes This performance assessment is designed to test students’ understanding of the concepts of wave speed and propagation in a medium for both light and sound waves. Students will use the speeds of sound and light waves and the time interval between observing lightning and hearing thunder to determine how far they are from the location of a thunderstorm. Students will then have the opportunity to apply the same idea to a different context. Students may need assistance with questions 6 and 8. Students may work in groups of three on the explanations and analysis, but each student should produce an individual written account of the inquiry and its conclusions. Before they begin working on the unit performance assessment, review the instructions provided in the student handout. Also review the rubric in order to explain what you will be looking for in the unit performance assessment. This assessment may take one class period to complete. You may introduce this assessment towards the end of the fifth key concept. This performance assessment aligns to the following expectations: CE 9-1-2, PE 9-1-2, CE 9-2-1, PE 9-2-1, CE 9-3-1, and PE 9-3-1. Estimating Distance Using Light and Sound Waves, Scoring Rubric Discuss the following rubric with students, so they know what is expected of them: Score Explanations Analysis 4 Both time equations are accurate, and the process for obtaining them is clear. The time interval equation is accurate. The rewritten time interval equation (in terms of L and vs) is accurate, and the process for obtaining it is clear. The numerical value of L is accurate, and the process for obtaining it is clear. The response to question 8 is accurate, and the process for obtaining it is clear. Provides a detailed, clear, and accurate response for which time (tS or tL) is greater. Both time equations are accurate, but the process for obtaining them is not clear. The time interval equation is accurate. The rewritten time interval equation (in terms of L and vs) is accurate, but the process for obtaining it is not clear. The numerical value of L is accurate, but Provides a clear and accurate response for which time (tS or tL) is greater, but the response needs more details. 3 Provides a detailed, clear, and accurate response for whether the thunder or lightning is observed first. Provides a detailed, clear, and accurate response for why the time to observe the lightning, tL, is so small that it can be neglected. Provides a clear and accurate response for whether the thunder or lightning is observed first, but the response needs more details. the process for obtaining it is not clear. The response to question 8 is accurate, but Provides a clear and accurate response for the process for obtaining it is not clear. why the time to observe the lightning, tL, is so small that it can be neglected, but the response needs more details. 2 1 Provides a process for obtaining the time equations, but one or both equations are not accurate. The time interval equation is not accurate. Provides a process for obtaining the rewritten time interval equation (in terms of L and vs), but the equation is not accurate. Provides a process for obtaining the numerical value of L, but the value is not accurate. Provides a process for obtaining the response to question 8, but the response is not accurate. Provides a clear response for which time (tS or tL) is greater, but the response contains mistakes. The equations, processes, and numerical values provided do not relate to the content. The responses provided do not relate to the content. Provides a clear response for whether the thunder or lightning is observed first, but the response contains mistakes. Provides a clear response for why the time to observe the lightning, tL, is so small that it can be neglected, but the response contains mistakes. Activity Sheet: Estimating Distance Using Light and Sound Waves Objective: Estimate your distance from the location of a storm by measuring the time interval between seeing lightning and hearing thunder. Complete the tasks below: 1. Draw a diagram of an observer (yourself) at a distance L from the current location of a storm. Sketch a sound wave and a light wave that originate from the location of the storm and are simultaneously coming at you. 2. On the diagram, label the speed of the sound wave vS, and the speed of the light wave vL. Denote the time it takes for the sound of thunder to reach you as tS, and the time it takes for the lightning to be seen by you as tL. 3. Using your notations, write the equation for the time it takes to hear the sound of thunder, tS, and the equation for the time it takes to see the lightning, tL (assume the motions of both sound and light are uniform). 4. Look up the values for the speeds of light and sound (use the value of the speed of sound corresponding to normal conditions: about 344 m/s).Which time, tS or tL, do you expect to be greater, and why? Which would you observe first, the thunder or the lightning, and why? (Hint: Look at your time equations from question 3). 5. Using the expressions for tS and tL, write an equation for the time interval between observing the lightning and hearing the thunder. Denote the time interval as Δt. 6. In practice, the time to observe the lightning, tL, is so small with respect to tS that it can be neglected. Can you explain why? (Hint: Look at your equation for Δt from question 5.) With this in mind, rewrite your equation for the time interval Δt, in terms of L and vs only. 7. You measure the time between observing the lightning and the thunder to be five seconds. Using the equation from question 6, calculate L. (In practice, you may use this method every time you need to determine how far the current location of a thunderstorm is from where you stand). 8. Apply your new understanding to a different context: Students are about to run a race of 200 m. The judge stands at a finish line and observes the coach firing a starter pistol. The judge is not an expert in physics, and decides to start the timer when he hears the shot, and not when he sees the light. How much of the actual running time is not accounted for by the judge? (Hint: the time interval Δt between seeing the light and hearing the shot.)