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Objective:

Objective:. HAPPY EARTH DAY! Practice different kinds of math problems you’re likely to see on the AP Test. Learn to use the factor label method of solving involved problems. http://www.youtube.com/watch?v=UBzVf8XeMYA Factor label method

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Objective:

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  1. Objective: HAPPY EARTH DAY! Practice different kinds of math problems you’re likely to see on the AP Test. Learn to use the factor label method of solving involved problems.

  2. http://www.youtube.com/watch?v=UBzVf8XeMYA Factor label method http://www.slideshare.net/stephm32/factor-label-method-14350483 The factor-label method is the sequential application of conversion factors expressed as fractions and arranged so that any dimensional unit appearing in both the numerator and denominator of any of the fractions can be cancelled out until only the desired set of dimensional units is obtained.

  3. A family is building a new home: YOU MUST SHOW CALCULATIONS! *The house has 4,000 ft.2 *100,000 BTU’s of heat/ft2 are required to heat the house for the winter. *Natural gas sells for $5.00/1000 cubic ft. *One cubic foot of natural gas supplies 1,000 BTU’s of heat energy. *1 kilowatt-hour of electricity supplies 10,000 BTU’s of heat energy. *Electricity costs $50 per 500 kWh Calculate: 1. The number of cubic feet of natural gas required to heat the house for the winter. Place a rectangle around your answer. 4,000 ft.2 x 100,000 BTU x 1 ft3= 400,000 ft3 1 1ft2 1000 BTU

  4. Decay of Uranium: Uranium 235 has a ½ life of 710 million years. It was determined that a certain amount of stored U-235 will be considered safe only when its radioactivity has dropped to 0.10 percent (0.001) of the original level. Approximately how much time must U-235 be stored securely to be safe?

  5. Estimated population size is: N = Estimate of total population size M = Total number of animals captured and marked on the first visit. C = Total number of animals captured on the second visit R = Number of animals captured on the first visit that were then recaptured on the second visit

  6. Population assessment: Mark re-capture 100 Monarch butterflies were captured, marked & released. The next day, another 75 butterflies were captured, including 20 marked. Calculate the population of Monarch butterflies. Estimated population = 375

  7.  Calculating Percent Growth Rates The percent change from one period to another is calculated from the formula:  Where: PR = Percent RateVPresent = Present or Future ValueVPast = Past or Present Value The annual percentage growth rate is simply the percent growth divided by N, the number of years. In 1980, the population in Lane County was 250,000. This grew to 280,000 in 1990. What is the annual percentage growth rate for Lane County? VPresent = 280,000VPast = 250,000N = 10 Years The population of Lane County grew 12 percent between 1980 and 1990 or at an rate of 1.2 percent annually.

  8. In 1995, the population of a small island in Malaysia was 40,000. 1400 were born; 400 died Calculate the R0 (Rate of growth Calculate the time for this population to double. 1000 population increase ÷ 40,000 = 0.025 0.025 x 100 = 2.5 % Rate of growth Doubling time = 70/R0. 70/2.5 = 28 years to double.

  9. During a stream visit the following macroinvertebrates in the following sequence were identified. Backswimmer- Backswimmer-Backswimmer-Damselfly-Damselfly-Midge-Mosquito larvae-mosquito larvae-Mayfly-Mayfly-Mayfly-Damselfly-Backswimmer Calculate the SCI for this population. This is a measure of biodiversity. SCI = # runs / # individuals 7 runs / 14 individuals = 0.50

  10. Total suspended sediment from a 100 ml sample of water: 1. Weigh crucible & filter. 2. Filter. 3.Weigh Crucible, filter & sediment after drying. Mass of #2 - #1 = Mass of sediment If Weight of crucible + filter + residue = 100 g If weight of crucible & filter = 80 g (100 – 80) x 1000 mL/L x 1/100 mL x 1000 mg/g = 200,000 mg

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