CPU Adapted Sound and Waves Module for Middle School Grade Levels 5-8 Nancy Booth, Maxine Howland, Ruby Grant September 17, 2005 I. Major Concepts: Properties of waves and how they apply to sound. II. Desired Outcomes: SC 1 2.6 a. Describe how sound energy is transferred by wave-like disturbances that spread away from the source through a medium. Predict how the properties of the medium (e.g. air, water, empty space, rock) affect the speed of different types of mechanical waves. SC 1 2.2 a. Recognize sound travels through different mediums (i.e. air, water, solids). Describe different ways to change the pitch of a sound (i.e. changes in size, such as length or thickness, and in tightness/tension of the source. Describe how the ear serves as a receiver of sound (i.e. sound vibrates eardrum). SC 7 1.5 a. Formulate testable questions and explanation (hypotheses). Recognize the characteristics of a fair and unbiased test. Conduct a fair test to answer the question. Make suggestions for reasonable improvements or extensions of a fair test. SC 7 1.5 b. Make qualitative observations using the five senses. Determine the appropriate tools and techniques to collect data. Use a variety of tools and equipment to gather data. Compare amounts/measurement. Judge whether measurement and computation of quantities are reasonable. SC 7 1.5, 1.6, 1.7, 1.8 c. Use quantitative and qualitative data as support for reasonable explanations. Use data as support for observed patterns and relationships, and to make predictions to be tested. SC 7 1.5, 1.6, 1.7, 1.8 d. Evaluate the reasonableness of an explanation. Analyze whether evidence and scientific principles support proposed explanation. SC 7 1.5, 1.6, 1.7, 1.8 e. Communicate the procedures and results of investigations and explanations through: oral presentations, drawings and maps, data tables, graphs, equations and writings. III. Student Objectives: Collect speed, amplitude, frequency, and wavelength data. Change the frequency and wavelength to determine their inverse properties. Change the medium or the tension of the medium to change the speed of the wave. Analyze different lengths of vibrating materials to determine the wavelength produced. Analyze the transmission of vibrations from one object to another using natural frequencies. Analyze the speed of sound and the wavelength that is affected by the type of medium in which it travels. Analyze the affect temperature has on the speed of sound. IV. Background 1. Waves have measurable properties such as speed, amplitude, frequency, and wavelength. Speed can be determined by dividing the distance a pulse travels by the time it takes to travel that distance. Amplitude can be determined by measuring the maximum motion of the medium. Our ear interprets amplitude as loudness. Frequency can be found by measuring the number of waves created or passing a marker per time period. Frequency is interpreted by our ears as pitch. Wavelength is the distance between two positions on a wave with the same displacement, heading the same way. 2. Speed, frequency, and wavelength are independent of amplitude. 3. Changing the frequency of a wave changes its wavelength inversely. Changing the medium or the tension in the medium changes the speed of the wave. 4. Particles of a medium in which a wave travels may move perpendicular or parallel to the direction of propagation of the wave. 5. Waves can change direction when they hit a boundary. If the boundary is rigid, the pulse experiences a phase inversion. If the boundary is flexible, the pulse is reflected with the same phase as the incoming wave. If a pulse strikes the boundary at an angle, the incoming angle is equal to the reflected angle. 6. Frequency = velocity divided by wavelength 7. The wave properties discovered in this curriculum apply to waves on springs, water waves, sound waves. 8. Sound sources are vibrating objects. 9. The length of the vibrating material determines the wavelength produced. For straws, chimes, and a bottle you blow into, the vibrating material is the air. For a meter stick, tapped water bottle and a singing goblet, the vibrating material is the solid. 10. Vibrations can be transmitted when a vibrating object touches another object. The larger the area of vibration the louder the sound. When two objects have close natural frequencies, vibrating one can cause the second to vibrate even when they are not in direct contact. This is known as resonance. 11. For every vibrating object there is a fundamental frequency and other related frequencies (overtones) that will produce standing waves for that length. In sound waves, we call the frequencies that produce standing waves harmonics. In open and closed pipes, the fundamental frequency is different due to the different standing waves that are established. Open pipes the same length as closed pipes have fundamentals with about twice the frequency of the closed pipe. 12. The number of harmonics and their relative intensities affects sound quality. Open pipes have a richer tone than closed pipes due to the open pipe having all harmonics and the closed pipe having only the odd harmonics. 13. Different musical instruments playing the same note do not sound the same due to the number of harmonics and their relative intensities (quality). 14. Sound waves travel at a measurable speed that is not affected by the amplitude or frequency of the wave. 15. Increasing the tension in a spring causes waves to travel faster, which affects the wavelength. 16. The speed of sound and the wavelength is affected by the type of medium in which it travels. 17. Sounds travel faster at higher temperatures. Temperature affects the wavelength of the sound. 18. Observers detect an apparent change in frequency when the source of a wave is in motion relative to the observer. V. Overview: This unit is designed for middle-school students in grades 5-8. It enables a greater understanding of wave properties. Knowledge of these concepts will enable the students to apply the mechanics of waves to sound. Lessons will be taught with a constructivist approach. Optimum group size is 3-5 students. VI. Time Required: This module begins with a pretest to check students’ pre-existing knowledge. The elicitation activities will draw on the students’ background knowledge and encourage risk taking. There are four developmental activities to increase students’ understanding, and the application activity will give the students an opportunity to apply knowledge. Depending on the class, this module will take a minimum of three (3) weeks to teach, this is based on daily class meetings of 45 minutes. After the time allotted, a post test will be administered. VII. Assessment Tools: A pencil and paper pre-test and post-test assessment will be administered which will include constructive response. VIII. Materials: Wave tank Tuning forks and rubber mallet for each group Slinky for each group Coil for each group or as a demonstration Ripple tank Stop watch for each group Metric ruler for each group 2 Flasks for each group Water glass for each group Straw for each student Scissors for each group Large graduated cylinder for each group Boom whackers for each group Water Hangers and string for each group IX. Activities: Activity 1 – Pretest Wave and Sound Activity I-E: Waves and Boats Wave and Sound Activity I-D2: How do Waves on a Spring Behave? Wave and Sound Activity I-D3: Exploring Waves in a Ripple Tank Wave and Sound Activity II-E: Harmonics Wave and Sound Activity II-D1: Tuning Forks of Varying Lengths Wave and Sound Activity II-D2: Sound made by Straws, Meter Sticks, and Chimes Wave and Sound Activity II-A1: Resonance in a Graduated Cylinder Singing Rods Activity 9 -- Posttest X. Bibliography 1. CPU Curriculum, Energy Concepts in Waves and Sound, Light and Color, Rockhurst University 2. DESE, www.dese.state.mo.us 3. Holt, Rinehart, and Winston. Science Plus Technology and Society. Austin: Harcourt Brace & Company, 1997 Name: Class: __________________________ _________________ Waves and Sound 1. How would you demonstrate or explain convincingly each of the following to someone who has never studied science before? a. Energy is needed to produce sounds. b. Sound is produced from vibrating objects. 2. Using the words sound, amplitude, energy, and ears, explain why you think many construction workers wear earplugs when operating jackhammers. 3, Draw a tuning form that will produce a higher-pitched sound than the one shown below. 4. How might you explain each of the following? a. When you strike tuning fork A, the paper ball jumps off its resting spot on an identical tuning form, B. Why? b. The sound of a dentist’s drill is louder to the patient than to the dentist. Why? 5. Number the following materials from 1-4 to show how well they transmit sound. Use 1 for the BEST transmitter and 4 for the WORST. Cardboard _________ Cotton _________ Steel _________ Wood _________ 6. tension, frequency, amplitude, energy, loudness, pitch, length, quality, resonance, distance, patterns of vibration Use several of the appropriate words from the list above to write one or two sentences about each of the following (Not all the words will be used.). a. distinguishing sounds of different musical instruments b. sounds of vibrating strings 7. Pierre selected six different pieces of steel wire. He hung different numbers of identical masses from the wires, as shown below. Then he plucked the strings and arranged them in order of pitch, from lowest to highest. Write down this order. 8. Marie blows into the trombone with the slide (1) all the way in and then (2) all the way out, with equal loudness both times. Which tone is lower? Why? 9. Mrs. Cleaver’s favorite music CD ends with a loud, sustained chord. She notices that when she plays the CD, her piano sounds the exact same chord for a few seconds after the music stops. Explain what is happening. 10.Your friend Kiki tells you about the last music concert she attended and says, “It couldn’t have been that dangerously loud. After all, ordinary conversation has a loudness of 60 dB, and a rock concert is only twice as many decibels, so a concert is only as damaging as hearing two conversations as once.” Her explanation is incorrect. What would you say to her? 11.Describe how you could make each of the following objects vibrate faster: a. a ruler b. a rubber band 12.The following diagram illustrates a portion of a sound wave in air after the string on a guitar has been plucked, but the artist did not include the labels! Complete the illustration by labeling the following parts: compression regions, expansion regions, and one wavelength. 13.John plays the note A on the flute. The air column vibrates 880 times per second. What would be the frequency if John played the A one octave below this one. Show your work. Remember to label your answer. 14.Acoustics is the branch of science that deals with the transmission of sound. It is often a very important consideration for designers of concert halls and auditoriums. Using what you know about how sound moves and how sound waves are reflected, sketch a design for an auditorium that would allow the sound from the voice of a single speaker to reach as many areas of the room as possible. You may want to consider building materials as well as the shape of the room. Name: Class: __________________________ _________________ Waves and Sound 3. How would you demonstrate or explain convincingly each of the following to someone who has never studied science before? a. Energy is needed to produce sounds. A drum produces no sound until it is struck. b. Sound is produced from vibrating objects. When a tuning fork is struck, it produces sound while it vibrates. 4. Using the words sound, amplitude, energy, and ears, explain why you think many construction workers wear earplugs when operating jackhammers. Sample answer: The sound produced by jackhammers is very loud because the vibrations they produce have a very large amplitude. Construction workers often wear earplugs because the amount of energy transferred by these vibrations could damage their ears. 3. Draw a tuning form that will produce a higher-pitched sound than the one shown below. Tuning fork should have shorter tines. 15.How might you explain each of the following? a. When you strike tuning fork A, the paper ball jumps off its resting spot on an identical tuning form, B. Why? Tuning fork A vibrates, casing waves of vibrating air particles to pass to tuning fork B. Tuning fork B then vibrates, and the paper ball jumps. c. The sound of a dentist’s drill is louder to the patient than to the dentist. Why? The sound travels through the teeth and the bones of the patient’s jaw as well as through the air. Bones, being a solid material, transmit sound better than the air does. 16.Number the following materials from 1-4 to show how well they transmit sound. Use 1 for the BEST transmitter and 4 for the WORST. Cardboard _________3 Cotton _________4 Steel _________1 Wood _________2 17. tension, frequency, amplitude, energy, loudness, pitch, length, quality, resonance, distance, patterns of vibration Use several of the appropriate words from the list above to write one or two sentences about each of the following (Not all the words will be used.). c. distinguishing sounds of different musical instruments Sample answer: The sounds of different musical instruments can be distinguished by the quality of the sounds they produce. Sounds that have the same frequency and amplitude of vibration may exhibit different patterns of vibration because the shape and composition of the instruments affect the resonance of the sounds produced. d. sounds of vibrating strings Sample answer: The pitch, or frequency of vibration, of a string depends on the string’s thickness, length, tension. The thicker the string is, the lower its pitch. The longer the string is, the lower its pitch. The less tension a string has, the lower its pitch. 18.Pierre selected six different pieces of steel wire. He hung different numbers of identical masses from the wires, as shown below. Then he plucked the strings and arranged them in order of pitch, from lowest to highest. Write down this order. If the wires are put in the correct order, the letters will spell out brainy. The following factors raise the pitch: more tension, sorter wire, thinner wire. 19.Marie blows into the trombone with the slide (1) all the way in and then (2) all the way out, with equal loudness both times. Which tone is lower? Why? The tone produced with the slide all the way out is lower because the vibrating column of air is longer. 20.Mrs. Cleaver’s favorite music CD ends with a loud, sustained chord. She notices that when she plays the CD, her piano sounds the exact same chord for a few seconds after the music stops. Explain what is happening. The chord from the CD is amplified sufficiently to cause he corresponding piano strings to vibrate in resonance. 21.Your friend Kiki tells you about the last music concert she attended and says, “It couldn’t have been that dangerously loud. After all, ordinary conversation has a loudness of 60 dB, and a rock concert is only twice as many decibels, so a concert is only as damaging as hearing two conversations as once.” Her explanation is incorrect. What would you say to her? Answers will vary. Sample answer: Kiki is correct in estimating the loudness of a rock concert at 120 dB. The fact that this is twice as many decibels as a normal conversation, however, does not mean that it is like hearing two conversations at once. An additional 60 dB of loudness corresponds to an increase in 1,000,000 in sound energy. This greater amount of sound energy could be very dangerous to the middle ear. 22.Describe how you could make each of the following objects vibrate faster: a. a ruler Sample answers: Shorten the ruler; make the ruler narrower b. a rubber band Sample answers: Tighten the rubber band; reduce its width or its length 23.The following diagram illustrates a portion of a sound wave in air after the string on a guitar has been plucked, but the artist did not include the labels! Complete the illustration by labeling the following parts: compression regions, expansion regions, and one wavelength. 24.John plays the note A on the flute. The air column vibrates 880 times per second. What would be the frequency if John played the A one octave below this one. Show your work. Remember to label your answer. One octave below a given note corresponds to one-half of the given frequency, so the new frequency would be 440 Hz. 25.Acoustics is the branch of science that deals with the transmission of sound. It is often a very important consideration for designers of concert halls and auditoriums. Using what you know about how sound moves and how sound waves are reflected, sketch a design for an auditorium that would allow the sound from the voice of a single speaker to reach as many areas of the room as possible. You may want to consider building materials as well as the shape of the room. Sketches will vary from simple to elaborate but should show an awareness of how sound waves are reflected by some objects better than by others. Students may sketch an auditorium with seats on an incline or in a circle. They may suggest using panels on the ceiling to help reflect sound waves to specific locations, and they may describe how walls made from wood would help to absorb extra, unwanted reverberation that other materials, such as metal, would transmit.