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Swirling a Vortex of Numbers to see
animal populations’ futures
David Thompson (Bayard Middle School) & Diana Cheng (Towson University)
http://tinyurl.com/p673fr7
Common Core State Standards for
Mathematical Practice
• Modeling with Mathematics: how the biological
phenomenon of population change can be modeled
graphically
– Experiment which mimics species’ changes in
population
– Hypothesize & test ways to increase the population by
changing relevant parameters
• Using appropriate tools strategically: Computer software
& spreadsheets, graphing calculators
Total # of Species &
Threatened Species
Source: IUCN Red List
Quantities considered for classifications
% population
reduction in 10
years Mature
population size
Reduction in
geographic
range
Tiger:
Endangered since 1986
IUCN Red List Categories (2001)
Criteria for Threatened Levels
(IUCN, 2001)
Table 1: IUCN Classifications
Examine Table 1 and answer the following questions regarding
classifications of species’ threatened levels:
• a. An animal’s population table is presented below. How
should this species be classified?
Year Population size
2000 1000
2010 700
• b. Suppose an animal’s population is 750 mature
individuals and there is a 50% population reduction over a
10 year period. How would this species be classified?
• c. Provide a scenario in which an animal’s population is
increasing, yet the species is still classified as endangered
(EN).
A Technology-Enhanced
Experiment
Vortex 10 software
– Developed by the IUCN
Conservation Breeding
Specialist Group & the
Chicago Zoological
Society
– Provided at no cost
– http://vortex10.org/Vo
rtex10.aspx
• Some parameters:
– Initial population size
– Carrying capacity
– % of adult females /
males breeding
– Mortality rates
– # of offspring per female
Small Group Work
dthomp9@students.towson.edu
• Exploration A
– A1 & A2
– A3 & A4
• Exploration B
– B1 & B2
– B3 & B4

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Swirling a vortex

  • 1. Swirling a Vortex of Numbers to see animal populations’ futures David Thompson (Bayard Middle School) & Diana Cheng (Towson University) http://tinyurl.com/p673fr7
  • 2. Common Core State Standards for Mathematical Practice • Modeling with Mathematics: how the biological phenomenon of population change can be modeled graphically – Experiment which mimics species’ changes in population – Hypothesize & test ways to increase the population by changing relevant parameters • Using appropriate tools strategically: Computer software & spreadsheets, graphing calculators
  • 3. Total # of Species & Threatened Species Source: IUCN Red List
  • 4. Quantities considered for classifications % population reduction in 10 years Mature population size Reduction in geographic range
  • 6. IUCN Red List Categories (2001)
  • 7. Criteria for Threatened Levels (IUCN, 2001)
  • 8. Table 1: IUCN Classifications Examine Table 1 and answer the following questions regarding classifications of species’ threatened levels: • a. An animal’s population table is presented below. How should this species be classified? Year Population size 2000 1000 2010 700 • b. Suppose an animal’s population is 750 mature individuals and there is a 50% population reduction over a 10 year period. How would this species be classified? • c. Provide a scenario in which an animal’s population is increasing, yet the species is still classified as endangered (EN).
  • 9. A Technology-Enhanced Experiment Vortex 10 software – Developed by the IUCN Conservation Breeding Specialist Group & the Chicago Zoological Society – Provided at no cost – http://vortex10.org/Vo rtex10.aspx • Some parameters: – Initial population size – Carrying capacity – % of adult females / males breeding – Mortality rates – # of offspring per female
  • 10. Small Group Work dthomp9@students.towson.edu • Exploration A – A1 & A2 – A3 & A4 • Exploration B – B1 & B2 – B3 & B4