IIT/FIELD MUSEUM – High School Transformation Project Lesson: Mirror, mirror Conceptual Physics, Hewitt Unit IV Sound and Light, Chapter 29.1-29.4 Guiding question How does light travel from an object to your eyes if the light is reflected by a mirror? Context of Lesson This lesson is an introduction to ray diagrams, the behavior of mirrors, and a chance for students to gain practice graphing and drawing diagrams. Students will also have to use empirical data to confirm or deny a hypothesis. Main Goals/ Objectives By the end of this lesson, students will be able to: formulate ideas about how reflected light travels to your eyes apply the concept of reflection to a mirror system with multiple reflections draw a ray diagram to represent the path of light approaching and reflecting from a mirror Nature of Science: Integrated Theme 2. Distinguish observations from inferences, explain that inferences should be based on observations, and explain that the development of scientific knowledge involves both observations and inferences so scientific knowledge is partially inferential. 6. Explain that scientific knowledge should be based on empirical data. Scientific Inquiry: Integrated Theme 1. Explain that scientific investigations all begin with a question, but do not necessarily test a hypothesis. 3. Explain that inquiry procedures are guided by the question asked. 6. Explain that research conclusions must be consistent with the data collected. 7. Explain that scientific data are not the same as scientific evidence. General Alignment to Standards State Goals 11.A.4b Conduct controlled experiments or simulations to test hypotheses. 11.A.4f Using available technology, report, display, and defend to an audience conclusions drawn from investigations. PSAE Goals STANDARD 11A – SCIENTIFIC INQUIRY 11.11.01 Understand and follow procedures relating to scientific investigations, including understanding the design and procedures used to test a hypothesis, organizing and analyzing data accurately and precisely, and producing and interpreting data tables. 11.11.02 Distinguish among the following: observing, drawing a conclusion based on observation, forming a hypothesis, conducting an experiment, organizing data, comparing data. STANDARD 12C – MATTER AND ENERGY 12.11.70 Understand the reflection, refraction, diffraction, interference, and frame of reference properties of waves. Bell ringer: If an object is real, is the image formed in the mirror real or virtual? Are reflections of reflections of reflections backwards or forwards? Name:____________________________________________per:_____________date:______________ Mirror, Mirror - Model Lesson activity Part 1: reflections Required Equipment/Supplies 2 small plane mirrors Supports for the mirrors 2 single-hole rubber stoppers 2 pencils 2 sheets of paper Transparent tape Discussion Have you ever held a mirror in front of you and another mirror in back of you in order to see the back of your head? Did what you saw surprise you? If the image of a coin is reflected by a mirror, do the letters appear forwards or backwards? What about reflections in 2 mirrors? Procedure Step 1: Place the pencils in the rubber stoppers. Set one plane mirror upright in the middle of a sheet of paper, as shown in Figure A. Stand one pencil vertically in front of the mirror. Hold your eye steady at the height of the mirror. Locate the image of the pencil formed by the mirror. Place the second pencil where the image of the first appears to be. If you have located the image correctly, the image of the first pencil and the second pencil itself will remain “together” as you move your head from side to side. 1. How does the distance from the first pencil to the mirror compare with the distance of the mirror to the image? Fig. B Step 2: On the sheet of paper, draw the path you think the light takes from the first pencil to your eye as you observe the image. Draw a dotted line to where the image appears to be located as seen by the observing eye. Now, Hinge two mirrors together with transparent tape. Set the mirrors upright and at right angles to each other in the middle of a second sheet of paper. Use the clay to hold the mirrors in place. Place a pencil in its stopper between the mirrors, as in Figure B. 2. How many images do you see? Why? Step 3: On the paper, show where the images are located. Draw the paths you think the light takes as it goes from the pencil to your eye. Now, decrease the angle between the two mirrors. 3. What happens to the number of images you get when you decrease the angle between the two mirrors? Part 2: Multiple Reflections Required Equipment/Supplies 2 plane mirrors, 4 in. × 5 in. viewing object transparent tape, protractor clay, toy kaleidoscope (optional) Procedure Step 1: Hinge the two mirrors together with transparent tape to allow them to open at various angles. Use clay and a protractor to hold the two mirrors at an angle of 72°. Place the object to be observed inside the angled mirrors. Count the number of images resulting from this system and record in Data Table A. Step 2: Reduce the angle of the mirrors by 5 degrees at a time, and count the number of images at each angle. Record your findings in Data Table A. Step 3: Study and observe the operation of a toy kaleidoscope, if one is available. Data Table A Angle Number of images 72o 67o 62o 57o 52o 47o 42o 37o 32o 27o Analysis questions 1. Explain the reason for the multiple images you have observed. 2. What effect does the angle between the mirrors have on the number of images? Extension 3. Using the information you have gained, draw and explain the construction and operation of a toy kaleidoscope. Name:___________________Key________________________per:_____________date:______________ Model lesson activity: Mirror, Mirror Required Equipment/Supplies 2 small plane mirrors Supports for the mirrors 2 single-hole rubber stoppers 2 pencils 2 sheets of paper Transparent tape Part 1: reflections Discussion If an object is real, is the image formed in the mirror real or virtual? Are reflections of reflections of reflections backwards or forwards? Procedure Step 1: Place the pencils in the rubber stoppers. Set one plane mirror upright in the middle of a sheet of paper, as shown in Figure A. Stand one pencil vertically in front of the mirror. Hold your eye steady at the height of the mirror. Locate the image of the pencil formed by the mirror. Place the second pencil where the image of the first appears to be. If you have located the image correctly, the image of the first pencil and the second pencil itself will remain “together” as you move your head from side to side. 1. How does the distance from the first pencil to the mirror compare with the distance of the mirror to the image? The distances are the same. Fig. B Step 2: On the sheet of paper, draw the path you think the light takes from the first pencil to your eye as you observe the image. Draw a dotted line to where the image appears to be located as seen by the observing eye. Now, hinge two mirrors together with transparent tape. Set the mirrors upright and at right angles to each other in the middle of a second sheet of paper. Place a pencil in its stopper between the mirrors, as in Figure B. 2. How many images do you see? There are three images: one in each mirror and one in the “crack.” Step 3: On the paper, show where the images are located. Draw the paths you think the light takes as it goes from the pencil to your eye. Now, decrease the angle between the two mirrors. 3. What happens to the number of images you get when you decrease the angle between the two mirrors? The number of images increases. Day 2: Multiple Reflections Required Equipment/Supplies 2 plane mirrors, 4 in. × 5 in. viewing object transparent tape, protractor clay, toy kaleidoscope (optional) Discussion Have you ever held a mirror in front of you and another mirror in back of you in order to see the back of your head? Did what you saw surprise you? If the image of a coin is reflected by a mirror, do the letters appear forwards or backwards? What about reflections in 2 mirrors? Procedure Step 1: Hinge the two mirrors together with transparent tape to allow them to open at various angles. Use clay and a protractor to hold the two mirrors at an angle of 72°. Place the object to be observed inside the angled mirrors. Count the number of images resulting from this system and record in Data Table A. Step 2: Reduce the angle of the mirrors by 5 degrees at a time, and count the number of images at each angle. Record your findings in Data Table A. Step 3: Study and observe the operation of a toy kaleidoscope, if one is available. Data Table A Angle Number of images 72o 67o 62o 57o 52o 47o 42o 37o 32o 27o Analysis questions 1. Explain the reason for the multiple images you have observed. Many images of an object can be seen in a two-mirror system due to multiple reflections, as the light bounces back and is reflected by another mirror. 2. What effect does the angle between the mirrors have on the number of images? The number of images increases as the angle decreases. (Extension) 3. Using the information you have gained, explain the construction and operation of a toy kaleidoscope. A simple kaleidoscope contains three mirrors with their reflecting surfaces facing one another 60° apart along the length of a tube. Colored chips in a compartment are placed between the mirrors. The result is an infinite pattern made of six symmetrical images.