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Catalyst – January 6(4), 2013 HOW OUT! Grab a CALCULATOR

Learn how to solve conversion problems using dimensional analysis with practical examples and helpful tips to improve your understanding.

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Catalyst – January 6(4), 2013 HOW OUT! Grab a CALCULATOR

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  1. Catalyst – January 6(4), 2013HOW OUT! Grab a CALCULATOR • 1. A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles? • A.$44.44 • B.$109.08 • C.$118.80 • D.$408.04 • E.$444.40 • Whenx= 3 andy= 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y? • F.4 • G.8 • H.16 • J.20 • K.50 • What is the value ofxwhen 2x+ 3 = 3x – 4 ? • A.  –7 • B. -1/5 • C.1 • D. 1/5 • E.7

  2. Today’s Agenda • Catalyst • Error/Percent Error Practice Problem 3 • HW Questions? • Quiz Stats, Return, and Mastery Tracking • New Notes! Dimensional Analysis! • Work Time! • Exit Question

  3. Error and Percent Error • Key Point #3: Error and percent error are both ways to describe the accuracy of a measurement. Error = Estimate – Actual Value % Error = Error x 100 Actual

  4. Error and % Error Example 3 • Henry Heavyfoot was just arrested for speeding by Officer O'Rourke for traveling 65 mph in a 55 mph zone. • Henry claimed his speedometer said 55 mph, not 65 mph. What is the error and percent error of Henry’s speedometer?

  5. Quiz 1Class Grade Averages 1st Period: 71.8% 2nd Period: 82.0% 4th Period: 80.8%

  6. Quiz 1 Champs • 1st Place (102): Lionel Greer, Jr. (2ndperiod) • 2nd Place (101): Kara Francois (1st period) • 3rd Place (100): TraMichael Louis (2nd period)

  7. Quiz 1 Champs: Honors • 1st Place (104): Ashley Bran • 2nd Place (99): Aldren Wilson • 3rd Place (94): Ashley Lavine, Peyton Zimmermann, Abby Richmond, Tiffany Dalmado

  8. Resume – Mastery Tracking! • Count up the number of points you got correct for each GLE by looking at the questions for that GLE • Look at each question’s point value (usually 5 points) • Calculate percent mastery for each GLE and for your overall average mastery using this formula: • Your Points/Total Points Possible x 100

  9. Today’s Objectives • SWBAT write conversion factors for metric units. • SWBAT solve 1-step unit conversions using dimensional analysis.

  10. LESSON TITLE: DIMENSIONAL ANALYSIS (CONVERSIONS)

  11. CONVERSIONS • GET READY FOR AWESOME!

  12. Conversion Factors • Key Point #1: Conversion factors are used to convert or go from one unit of measurement to another. • YOU ALREADY KNOW THIS STUFF! • Examples: • 10 dimes= 1 dollar • 20 nickels= 1 dollar • 4 quarters= 1 dollar

  13. Conversion Factors on Blast! • Key Point #2: Conversion factors can be written in 2 ways… • As a fraction that is equal to the number 1 • As an equivalent

  14. Two Ways to Write CFs

  15. Dimensional Analysis • Key Point #3: Dimensional analysis is a tool used to convert from one unit to another. It relies on accurate conversion factors.

  16. Working on the Railroad • Step 1: • What to what? • Step 2: • Write conversion factor(s) • Step 3: • Train Tracks • Aka Math Set-Up

  17. Practice! One-step problems. • How many meters are in 10 centimeters? • How many centimeters are in 327 meters?

  18. Exit Question • Write the conversion factor between the following units: centigrams and grams.

  19. Catalyst – January 5(5), 2013 • HW OUT PLEASE! • Write a response to the following questions… • What do you think about 3-D TVs and movies? • What do you think is the FUTURE of 3-D technology?

  20. Today’s Agenda • Catalyst/Future Friday • 1-Step Practice/Metric Olympics • 2-Step Notes • Work Time • Group/Student of the Week! • Exit Question

  21. Today’s Objectives • SWBAT solve1-step and 2-step conversions using dimensional analysis. • SWBAT CONVERT IT LIKE IT’S HOT!

  22. Conversion Factors • Review KP #1: Conversion factors are used to convert or go from one unit of measurement to another. • YOU ALREADY KNOW THIS STUFF! • Examples: • 10 dimes= 1 dollar • 20 nickels= 1 dollar • 4 quarters= 1 dollar

  23. Conversion Factors on Blast! • Review KP #2: Conversion factors can be written in 2 ways • As a fraction that is equal to the number 1 • As an equivalent

  24. Two Ways to Write CFs

  25. Dimensional Analysis • Review KP #3: Dimensional analysis is a tool used to convert from one unit to another. It relies on accurate conversion factors.

  26. Working on the Railroad • Step 1: • What to what? • Step 2: • Write conversion factor(s) • Step 3: • Train tracks

  27. Volume - Liters < < 1 mL 1 L 1 kL

  28. Mass - Grams . < < 1 mg 1 g 1 kg

  29. Length - Meters . < < 1 mm 1 m 1 km

  30. Practice! One-step problems. • How many meters are in 10 centimeters? • How many centimeters are in 327 meters?

  31. Practice! On your own! • Example Problem: • A roll of Christmas gift wrap contains 2.5 meters of paper. What is the length of the paper in yards?

  32. Worksheet Review • 1-5

  33. Always remember… • Key Point #4: In two step problems, always convert to the unit without a prefix first. • Mass: grams • Distance: meters • Volume: liters

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