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Warm Up • Write down objective and homework in agenda • Lay out homework (Operations wkst) • Homework (S.N. Word Problem Worksheet) Unit 4 Scientific Notation Common Core Standards • • • • • • • • • 8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3-3= 3-3= 1/33 = 1/27. 8.EE.3 Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. 8.EE.4 Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically. MP.6 Attend to precision. Warm Up Video • http://www.5min.com/Video/How-to-ApplyScientific-Notation-to-Real-Life-275613685 Scientific Notation Word Problems • Most Scientific Notation word problems are using multiplication and division • Key words for division: How many times greater • Many times we use the formula d=rt Example 1 The Earth is approximately 93,000,000 miles from the sun. How long does it take light from the sun to reach the earth? Use the speed of light to be 1.86 x 105 miles per second. • D = rt • We know distance and speed • 9.3 x 107 = 1.86 x 105 x T • 5.0 x 102 = 500 seconds. Example 2 • The body of a 150 lb person contains 2.3 x 10-4 lb of copper. How much copper is contained in the bodies of 1200 such people? • (2.3 x 10-4) x (1200) • (2.3 x 10-4) x (1.2 x 103) • 2.76 x 10-1 copper Example 3 • The size of the Indian Ocean is 2.7 x 107 square miles. The Arctic Ocean is 1/5 the size of the Indian Ocean. How big is the Arctic Ocean? • (2.7 x 107) x (1/5) • (2.7 x 107) 5 • 0.54 x 107 • 5.4 x 106 square miles Example 4 • The speed of light is approximately 3 x 10 8 m/s. How far does light travel in 6.0 x 101 seconds? • D = RT • D = (3 x 108) x (6.0 x 101) • 18 x 109 • 1.8 x 1010 meters You Try! • The speed of light is 3 x 10 8 m/s. If the sun is 1.5x 1011 meters from earth, how many seconds does it take light to reach the earth? • 1.5 x 1011 = 3 x 108 x Time • 1.5 x 1011 3 x 108 • 0.5 x 103 • 5 x 102 seconds You Try! • Lake Superior has roughly 25 times the volume of Lake Erie. If the volume of Lake Superior is approximately 1.22 x 104 km3, what is the approximate volume of Lake Erie? • 1.22 x 104 25 • 0.0488 x 104 • 4.88 x 102 cubic kilmeters You Try! • The bedroom of our house is 1,200 cubic meters. We know that there are 3.4 x 109 particles of dust per cubic meter. Write how many particles of dust are there in the bedroom of our house? • (1200) x (3.4 x 109) • 4080 x 109 • 4.08 x 1012 particles You Try! • We have to find out the weight of 6 billion dust particles, if a dust particle has a mass of 7.53 x 10-10 g. • (6,000,000,000) x (7.53 x 10-10) • (6 x 109) x (7.53 x 10-10) • 45.18 x 10-1 • 4.518 x 100 grams • 4.518 grams Extra Practice • http://tulyn.com/wordproblems/scientific_notation.ht m • http://www.mathworksheetsland.com/8/6scinot/ip.pd f • http://glencoe.mcgrawhill.com/sites/dl/free/0078740479/389492/m2_wordp roblempractice.pdf • 3-7, • http://www.americanbookcompany.com/newsite/sam plebooks/SAMPLE%20PAGES%20%20Passing%20the%20Tennessee%20Algebra%20I%20 End-OfCourse%20Assessment/files/assets/downloads/page00 11.pdf Practice Problems • http://regentsprep.org/Regents/math/ALGEB RA/AO2/PracScientific.htm