The Eyes Have It: Shapely Servings 2007 The University of Texas Health Science Center at San Antonio Station 1 Student Information Page 5C Activity Introduction: Today you will be asked to look at different shapes to visually determine which shape has the greatest surface area. At the completion of the visual portion of this activity metric rulers and calculators will be used to mathematically determine which shape actually has the greatest area. Activity Background: What you see isn t always what you expect to get. Packaging and/or presentation of foods are often very deceiving. This activity will help you realize that your perception of object sizes can often be misled by your visual interpretation. Activity Materials: 1 large plastic plate with circle glued onto it 1 large plastic plate with triangle glued onto it 1 large plastic plate with square glued onto it 1 small plastic plate with circle glued onto it 1 small plastic plate with square glued onto it 1 small plastic plate with triangle glued onto it Metric ruler Calculator Activity Instructions: 1. 2. 3. 4. 5. 6. 7. 8. Observe the three large solid colored plastic plates with the forms glued onto them. Place them on your table next to each other. Look at them carefully without moving the shapes off of the plates or stacking the plates in any fashion. Predict which shape has the largest area. Record that information on your Student Data Page. Obtain the smaller plastic plate with the circle pasted on it. Place it next to the larger plate with the circle pasted onto it. Which circle appears larger? Record your prediction on your Student Data Page. Using the ruler measure the sides of each of the forms and record that information on your Student Data Page. Using the equations provided on your Student Data Page determine the area of each of the forms. LESSON 5 ACTIVITY 5C 11Corpulosity
The Eyes Have It: Shapely Servings Student Data Page 5C 1. Which of the shapes appears to have the greatest surface area? (circle one) Circle Square Triangle 2. On which of the two plates does the circle appear to be larger? (circle one) Large plastic plate Small plastic plate 3. Using the ruler, measure: Each side of the triangle is equal to Each side of the square is equal to The diameter of the circle on larger plate is equal to The diameter of the circle on small plate is equal to 4. Use the equation and the space below to determine the area of the equilateral triangle glued onto the plastic plate. Show your work. Area of an equilateral triangle = Area = s2 3 Note: (s = length of each side) 4 5. Use the equation and the space below to determine the area of the square. Show your work. Area of a square = s2 Note: (s = length of each side) 6. Use the equation and the space below to determine the area of the circle on the larger plate. Show your work. Area of a circle = (r = radius) πr 2 Note: (π = 3.14) 7. Use the equation and the space below to determine the area of the circle on the small plate. Show your work. Area of a circle = (r = radius) πr 2 Note: (π = 3.14) LESSON 5 2007 The University of Texas Health Science Center at San Antonio ACTIVITY 5C 12Corpulosity
8. Which of the shapes actually had the greatest surface area? (Circle one) Circle Square Triangle 9. Did you pick the correct largest shape before you did the math? (circle one) yes no 10. Did you pick the correct largest circle before you did the math? (circle one) yes no 11. Why do you think you did or did not choose the largest of the three shapes? 12. Why do you think you did or did not choose the larger of the two circles? 13. How could you improve your ability to compare the size of shapes? 14. Based on your ability to judge the size of shapes, how well do you think you can judge the amount of food in a serving? 15. Based on observations made during this activity, how could you make smaller servings seem larger? 2007 The University of Texas Health Science Center at San Antonio LESSON 5 ACTIVITY 5C 13Corpulosity
ACTIVITY 5C: THE EYES HAVE IT: PORTION DISTORTION 2012 The University of Texas Health Science Center at San Antonio Lesson 5 Activity 5c 0
2012 The University of Texas Health Science Center at San Antonio Lesson 5 Activity 5c 0
2012 The University of Texas Health Science Center at San Antonio Lesson 5 Activity 5c 0