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Math in the World Around You.

Math in the World Around You. Stock Scam. 250 up. 500 up. 125 up. 1000 Letters. 250 down. 125 down. 500 down. Security of Credit Card Numbers. What percentage of all possible credit card numbers are in use?. or.

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Math in the World Around You.

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  1. Math in the World Around You.

  2. Stock Scam 250 up 500 up 125 up 1000 Letters 250 down 125 down 500 down

  3. Security of Credit Card Numbers What percentage of all possible credit card numbers are in use? or What is the chance that a random 16 digit number is a valid credit card account? 6235 4409 8717 2076 Total number in use Fraction in use = Total number possible 9 10 Fraction in use = 16 10 10 10 10 … 10 10

  4. Security of Credit Card Numbers What percentage of all possible credit card numbers are in use? or What is the chance that a random 16 digit number is a valid credit card account? 6235 4409 8717 2076 Total number in use Fraction in use = Total number possible 9 10 Fraction in use = 16 10 -7 10 Fraction in use = (1 in 10 million chance)

  5. Total Population 15 squares, 15 circles

  6. Division into 6 districts 15 squares, 15 circles S C 3 2 S 2 3 C 3 2 S 3 2 S 2 3 C 2 3 C 3 : 3

  7. Division into 6 districts 15 squares, 15 circles S C 2 3 C 2 3 C 5 0 S 2 3 C 2 3 C 2 3 C 1 : 5

  8. Division into 6 districts 15 squares, 15 circles S C 3 2 S 3 2 S 3 2 S 3 2 S 0 5 C 3 2 S 5 : 1

  9. GPS in the World Around You. Weather modification Global positioning system Storm surge International space station Tsunami Space planes Earthquake prediction Falling satellites Spy satellites Hydrogen fuel cells Space tourism Bio-diesel Moon ice Mars rovers Wind power Ion drives Gas/Electric hybrid Nuclear winter Rail guns Wind turbines Dirty bombs Compact fluorescents Smart bombs Uranium enrichment Digital TV Virtual reality Y2K Voice recognition Radon gas Internet II Global warming Cold fusion Wireless Extra-solar planets High temp super-conductors

  10. Ch 1: Measurement

  11. Chapter 1- Measurement Quantity: A physical property to be measured. Distance Time Mass Unit: A reference amount used to measure the quantity against. foot second U.S. Customary [Brit.-Imperial] inch day mile year meter second Metric System [S.I.] millimeter millisecond kilometer microsecond

  12. Chapter 1- Measurement - A single quantity can be measured in many different units. - The metric system was devised so that the different units for the same quantity are related by powers of 10. -6 1 micrometer = 10 meter -3 1 millimeter = 10 meter A prefix always means the same thing. 3 1 kilometer = 10 meter 6 1 megameter = 10 meter Which is not the case for older units. 1 1 inch = foot 1 furlong = 110 fathom 12 1 mile = 5280 foot 1 bushel = 256 gill [U.K.]

  13. Chapter 1- Measurement Converting Simple Units: # of new units Quantity in “old” units Quantity in “new” units = # of old units

  14. Chapter 1- Measurement Converting Simple Units: 12 in 16 ft = 192 in 1 ft 3.28 ft 80 m = 262.4 ft 1 m 1 yd 24 ft = 8 yd 3 ft

  15. Chapter 1- Measurement Converting Simple Units: # of new units Quantity in “old” units Quantity in “new” units = # of old units Conversion Factor (Equal to ‘1’ ) (Top and bottom are equal amounts of the same quantity) 1 m 3.28 ft 1 m = 3.28 ft or 3.28 ft 1 m

  16. Chapter 1- Measurement Units act mathematically the same as variables: ‘x’ stands for some unspecified amount and this is 12 times that amount. 12 x ‘ft’ stands for some specific quantity and this is 12 times that amount. 12 ft 1.) Units add/subtract like variables. 5 ft + 13 ft = 18 ft 5 x + 13 x = 18 x 5 ft + 13 in = ? 5 x + 13 y = ?

  17. Chapter 1- Measurement Units act mathematically the same as variables: 2.) Units multiply/divide like variables. Area = L x W 4 ft = ( 4 ft )( 1.5 ft ) 1.5 ft . = 6 ft ft 2 = 6 ft Area = ( 4 ft )( 18 in ) . 1:144 ratio, not 1:12 = 72 ft in Area = ( 48 in )( 18 in ) 2 = 864 in

  18. Chapter 1- Measurement Units act mathematically the same as variables: 2.) Units multiply/divide like variables. Distance Speed = Time 500 miles = 10 hour miles = 50 “miles ‘per’ hour” hour

  19. Chapter 1- Measurement Units act mathematically the same as variables: 3.) Units ‘cancel’ like variables. 1 hour 500 minutes = 8.33 hour 60 minutes

  20. Chapter 1- Measurement Converting Compound Units: mi ft Change 65 to ? hr sec ft # sec mi 65 = hr mi # hr Messy Conversion Factor

  21. Chapter 1- Measurement Converting Compound Units: or mi 5280 ft 1 hr 1 min ft 65 = 95.3 hr 1 mi 60 min 60 sec sec Two key item to check: - Make sure all conversion factors are = 1 - Make sure units cancel out properly

  22. Chapter 1- Measurement x Powers of 10: How long is 10 seconds? 12 10 32 centuries 6 10 12 days 11 10 5 10 10 10 4 10 9 10 32 years 3 10 17 minutes 8 10 2 10 7 10 1 10 0 10 1 sec

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