Topic: Waves Level: Secondary 3 Express Class Size: 40 Lesson objectives: At the end of the lesson, the students should be able to (a) explain that waves transfer energy without transferring matter (b) identify wave motion as the vibration of particles in the medium (c) compare transverse and longitudinal waves (in terms of wave motion) and give suitable examples of transverse waves (d) define speed, frequency, wavelength and amplitude (e) interpret the relationship velocity = frequency x wavelength Prior knowledge (a) Lower Secondary General Science concepts Concept Map Waves Properties Period (T) Frequency (f) Wavelength () types Amplitude transverse longitudinal Wave motion Speed (v) Due to vibration of particles in medium f = 1/T v = f x Vibration of particles perpendicular to direction of wave propagation Vibration of particles parallel to direction of wave propagation Learning Aids and Resources Set induction: Video Demonstrations: ripple tank, slinky, students to do 'kallang wave' Powerpoint (All the powerpoint slides are placed in Appendix 1) IT Websites: (i) Applets to 1) describe the properties of waves (A1) 2) compare longitudinal and transverse waves and show that wave motion is due to vibrations of the particles in the medium (A2) 3) illustrate the wave equation to ripples in water (A3) Links to applets provided in Summary of Lesson Plan Worksheet on Stadium wave (Appendix 2) Trigger Activity Show a short snippet of the movie 'Deep Impact' where the comet hits the ocean. There is an obvious ripple that is formed in the ocean on impact Ask the students how the energy of the impact can reach people on land Tell them that the energy of the impact is transferred to land through waves that were generated when the comet hits the ocean Tell the students that this is the important aspect of waves we use in everyday life – to transfer energy. Let them know that we will be learning about the general properties of waves Lesson Development 1) Everyday applications and the transfer of energy (not matter) by waves The trigger activity will set the students to think about the usefulness of waves in transferring energy, and other examples of waves they encounter in everyday life where there is bound to be the transfer of energy involved. It will then be emphasized that in all the examples they have mentioned, waves only transfer energy and not matter 2) Student participation Student volunteers will demonstrate waves of differing frequency and wavelength using slinkys. They will also be asked to help demonstrate the application of the wave equation (the inter-relation of frequency, wavelength and speed of wave) on a longitudinal wave using the slinky. Students will also be asked to demonstrate the 'kallang wave' to trigger the lesson segment on wave equation for waves. This involves everyone in class and relates the concept to something they are familiar with. 3) Use of IT Applets and powerpoint slides are used to explain the properties of waves (amplitude, wavelength, frequency and period) as well as the different types of waves (longitudinal and transverse). An applet showing the ripple tank demonstration is used to make it clearer to the students that ripples in the water are actually transverse waves. The applet is also used to further demonstrate the wave equation 4) Teaching Aids and Materials Slinkys, the ripple tank and the kallang wave will be used to demonstrate that waves transfer energy, not matter. These are also used to demonstrate the motion of particles in a medium for transverse waves. For instance, in the ripple tank demonstration, a small floating cork is placed on the water. When the waves is generated, the cork will only bob up and down but will not move across the surface of the water. The students are then asked to think of a way to demonstrate the same concept using a slinky and carry out the demonstration. When the students are asked to do the kallang wave, they are asked whether the wave is a transverse or longitudinal wave and ask them to explain why. A short worked example on wave equation applied to stadium waves will be done together with the students at the end of the lesson to practise what they have learnt and link the concept of the wave equation to the stadium wave which they have demonstrated earlier. Lesson Closure A summary of the lesson will be given using powerpoint slides. The students will be given a brief insight of what they will be covering in the next lesson to get them prepared. In the next lesson, they will be practising further on the wave equation, learning more about longitudinal waves (compressions, rarefactions and examples of longitudinal waves), and also learn about wavefronts. Summary of Lesson Plan The 12 min microlesson will cover the segment of the lesson plan that is in blue Time Activities frame 5 Set trigger activity mins Show the video snippet of 'Deep Impact' Resources Remarks Video Relates the importance of waves (transfer of energy) to what they are familiar with (movies and possible real-life occurrence) Ripple tank and slinky Get the students to be involved and think creatively to put across what they have learnt. This activity will help visual and kinesthetic learners. Explain the importance of waves in the transfer of energy Explain that waves is defined as a disturbance that moves through a medium, transporting energy from one location to another as it goes 20 Demonstrate how waves transfer energy but not mins matter Demonstrate this concept using the ripple tank by placing a cork on the water and show that it bobs up and down only when the waves are generated Provide each group with a slinky. Ask them to think in groups how they can demonstrate the same concept using the slinky 15 mins Ask one group to demonstrate to the class Introduce the physical characteristics of a wave Describe the wavelength, amplitude, frequency and period of a wave using powerpoint Use Applet from the website http://www.surendranath.org/Applets.html (A1) waves transverse waves to illustrate the frequency of a wave Powerpoint 5 mins Explain using an applet that wave motion is due to the vibration of the particles in the medium powerpoint http://www.cbu.edu/~jvarrian/applets/waves1/lon tra_g.htm (A2) - emphasize the different motion of the particles in the medium for transverse waves compared to longitudinal waves - emphasize that a medium is required in order for a mechanical wave to be generated (briefly explain that this is true for mechanical waves, not electromagnetic waves which will be covered in the next chapter) 5 mins 2 mins slinky Use slinky to differentiate transverse and longitudinal waves Ask the students to do the kallang wave - ask them to identify whether it is a transverse or longitudinal wave and why - ask them if they know that the speed of a stadium wave can be calculated if we know the characteristics of the wave they just learnt. 2 min Explain what is speed of wave using an applet - let the students visualize what is speed of the wave by showing only one full wavelength of a wave moving across the screen. Then explain that this speed is the same as one specific crest or one trough of a continuous wave Introduce the wave equation v = f x using powerpoint slide - make the students realize that v = f x can be derived using the familiar equation of distance per unit time Powerpoint Doing the kallang wave is an opportunity for the students to relate waves to something they are familiar with. It is also an activity that involves everyone in class. - emphasize that the speed of the waves is not the same as the speed of vibration of the particles in the medium - emphasize that the wave equation only lets us calculate the speed of the wave if we know the frequency and wavelength, it does not imply that the speed is dependent on wavelength or frequency. In fact, the speed of the wave is only dependent on the medium that it is propagating through. Explain that this is so because the wave speed is dependent on the elasticity of a material which is fixed for a specific medium. 3 min Application of wave equation on transverse waves Powerpoint Using the applet from the website http://www.falstad.com/ripple/ (A3) show that ripples in a water are actually transverse waves and demonstrate how the frequency of the wave can affect the wavelength if the speed remains the same 5min Application of wave equation on longitudinal waves Using the slinky and the help of 1 student, demonstrate longitudinal waves of differing frequency but same speed. Tell the students how to identify one wavelength (since they are not taught yet how to identify compressions and Applying the wave velocity equation to water ripples will ensure that students can relate this concept to something they see in everyday life The applet is also useful because the 3d diagram can be rotated to a crosssectional view so that it is clearer to students that the ripples actually form a transverse wave Slinky Using the slinky to demonstrate that the wave equation can also be applied to longitudinal waves. The use of slinky also help the visual learners understand it rarefactions) better They will note that the wavelength will increase if frequency is smaller according to the wave equation, and vice versa. 5 mins Work through a worksheet with them to find the Worksheet (Appendix speed of a stadium wave moving round a 2) stadium 3 mins Give a summary of what has been learnt in the lesson using the concept map in the powerpoint Let the students know what to expect for the next lesson - they will be practicing more on the wave equation - they will be learning further on characteristics of longitudinal waves (compressions & rarefactions) - they will be seeing more of the ripple tank as they will be learning about wavefronts - Ask the students to of examples for longitudinal waves to prepare for the next lesson Powerpoint Although the students will not be able to identify compressions and rarefactions (which will be covered in the next lesson), this activity is just a demonstration to show them that wave equation can also work for longitudinal waves The worksheet assigned to them will link back to the activity they demonstrated earlier – the 'kallang wave' The use of concept map can help the students to get the big picture and the links between concepts they have learnt in the lesson Providing an insight on the next lesson gets the students prepared Conclusion This lesson is suitable for average ability students. Since this is the first time they are encountering the wave topic, getting them involved and letting them see the effects of waves in everyday life (for eg 'kallang wave' and water ripples) and how it is used in their favourite movies (video snippet of 'Deep Impact) can help in their understanding and arouse their interest. The use of this video for the lesson induction serves to capture the students' attention and also make them realize the importance of waves as a means to transfer energy although they cannot 'see' waves. Waves are abstract so IT and materials are also used to a great extent. Applets are useful for them to visualize some concepts (for eg motion of a wave due to vibration of particles in the medium) and the use of slinky for hands-on activities can help the kinesthetic learners better. Reflection In my microlesson, the Kallang Wave demonstrated by the class was purposeful in that it was meant to arouse the attention of the class, considering that the segment of the lesson was supposed to be towards the end of the lesson. However, as Dr Chen pointed out, depending on where the class is situated, doing the kallang wave might not be a good activity if it is held in the classroom and where classes are situated near to each other. This is because the activity can be quite noisy and it might disturb neighbouring classes that are going on. If this is the case, a video of the stadium wave can be shown instead. Before I explained further how to derive the speed of the wave, I should explain what speed of wave is because it is difficult for the students to visualize the speed of the wave. In worked examples 'Worksheet on Stadium Wave' that I illustrated to the students, I should not use fractional values for concrete things like 'number of waves per second is 1.25' because it might be difficult for the students who are only just exposed to the topic to visualize what is '1.25 of a wave'. Hence, I changed the question in my final lesson plan such that the values obtained will be more acceptable to the students. During the microlesson, I emphasized that the speed of the waves are actually not dependent on the frequency or wavelength. Instead, it is dependent on the medium that the wave is propagating through. So the wave equation just tells us how to find the speed of the waves using the wavelength and frequency of the wave. It does not imply that the speed of the wave is dependent on wavelength nor frequency. Instead of just emphasizing this, it would have been better if I explained further why this is the case. I could have explained that the speed of the waves is dependent upon the medium only because the wave speed is dependent upon the elasticity and tensile strength of a material. Since a medium has a definite elasticity, any wave that passes through it will have the same speed. References GCE ORDINARY LEVEL Physics Syllabus (5052) http://www.surendranath.org/Applets.html http://www.cbu.edu/~jvarrian/applets/waves1/lontra_g.htm http://www.falstad.com/ripple/ http://en.wikipedia.org/wiki/Wave http://www.sciencenews.org/articles/20020914/mathtrek.asp