Slide 1Slide 2Slide 3Slide 4Slide 5Slide 6Slide 7Slide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 16Slide 17Slide 18Slide 19Slide 20Slide 21Slide 22Slide 23Astronomy Picture of the Day● "Thinking of what you want to get out of your college education and this course, which of the following is most important to you?–1. Acquiring information (facts, principles, concepts)–2. Learning how to use information and knowledge in new situations–3. Developing lifelong learning skills."●All three of these goals are clearly important. However, let's think for a moment of how best to accomplish these goals. Learning is not a spectator sport it takes work; that includes ―work in the classroom and work that you do outside of the classroom.●So, of these three goals, which do you think you can make headway on outside of class by your own reading and studying, and which do you think would be best achieved in class working with your classmates and me?"●Students learn best when:–When they discuss what they are reading–When they practice what they are learning–When they apply practices and ideas.Key Ideas●Be able to write a simple scientific method to test an idea●Be able to work with numbers taken to a power●Be able to convert to and from scientific notation●Be able to interpret and generate graphs●Be able to determine the uncertainty in a resultScience: A method for arriving at objective truthLaws and TheoriesPredictions and explanation of observationFacts acquired through observationLaws and TheoriesPredictions and explanation of observationFacts acquired through observationScience uses Quantitative inductionWhich is a random distribution?Which is longer?Math Review!Working with Powers IRules: 2^5 = 2x2x2x2x2 = 32 5^3 = 4x4x4 = 125 2^(-2) = 1/(2x2) = ¼ = 0.25 10^(-4) = 1/10^4 = 0.0001 Questions1. Calculate: 6^3, 4^5, 10^62. Calculate: x^0, x^13. Calculate: 6^(-3), 7^(-1), 10^(-4)4. Calculate: (-1)^3985. For what values of x^6 is x > 1?Working with Powers IIRules: x^y * x^z = x^(y + z) 3^2 * 3^4 = 3^6 = 729 x^y * x^(-z) = x^(y - z) 3^2 * 3^(-4) = 3^(-2) = 1/9 (x^y)^z = x^(yz) (3^2)^4 = 3^8 = 6561Questions1. Calculate: 5^2*5^1, 2^3*2^3, 7^4*7^(-1), 4^6*4^(-6)2. Calculate: (5^2)^1, (10^4)^3, (4^2)^(-2)3. Calculate: 10^3/10^4 * (10^6)^4 * (10^(-3))^23. Rewrite: a^y*a^b*(x^(-z))^2 using fractions4. For what value of x is 2^x * 2^x = 2^6 ?Working with Powers IIIRules: The square root of x = x^(1/2); x^(1/2)*x^(1/2) = x The cube root of y = y^(1/3); y^(1/3) * y^(1/3) * y^(1/3) = yQuestions1. Calculate: 9^(1/2), 125^(1/3), 27^(2/3), 16^(2/4)2. Calculate: 1000^(1/3)*(10^4)^(1/2)3. For what value of y does (x^y)^(1/2) = x^3*x^4?Scientific NotationRules: 13,450 = 1.345 * 10^4 278,000,000 = 2.78 * 10^8 0.0071 = 7.1 * 10^(-3) 0.05009 = 5.009 * 10^(-2) Questions1. Convert to scientific notation: 6,000,000 7804.12 5.04 0.16 0.00004922. Convert from scientific notation: 3*10^(4); 10^(-3); 5.209*10^(8); 9.889*10^(-2)3. Simplify(1.1*10^4)*(8*10^2); 6*10^8/(3*10^2); (5.2*10^3)*(2*10^(-2))Displaying Data with GraphsDisplaying Data with Graphs●What is one data point you disagree with?●What fruit would the graph-er least want to eat?●With a partner generate a new, similar graph–8+ points–At least one in each quadrantAssigned●Reading (due Thurs in class):–Preface, Part 2 -- "How to Succeed in Your Astronomy Course" –Ch 1 -- "Our Place in the Universe"–Ch 3.4 -- "The Nature of Science"–Ch 4 -- "Making Sense of the Universe: Understanding Motion, Energy, and Gravity"–Appendix C●TWO questions on textbook, ONE on lab (due Thurs, 8:00am)–Email to Jeff and me with READING QUESTIONS in subject line●Lab 1 (due Thurs in class)●Stop by office hours (due Tues, 5:00pm)●First news article summery (due Tues. in class)Minute Writing●Please take five minutes to summarize what you thought the most important or interesting parts of class today wereSolving EquationsRules: 5 = x + 4 -> 5 – 4 = x + 4 – 4 -> 1 = x 4 = 2x -> 4/2 = 2x/2 -> Questions1. Calculate: 5^2*5^1, 2^3*2^3, 7^4*7^(-1), 4^6*4^(-6)2. Calculate: (5^2)^1, (10^4)^3, (4^2)^(-2)3. Calculate: 10^3/10^4 * (10^6)^4 * (10^(-3))^23. Rewrite: a^y*a^b*(x^(-z))^2 using fractions4. For what value of x is 2^x * 2^x = 2^6
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