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POPULATION
Teacher's Guide

Program Area

This activity fits well into the Grade 9 Mathematics, Science, and Technology program, specifically after Relations and Graphs have been taught. It also complements the Grade 10 Mathematics program as follows: MAT2A1-after the section on Relations; MAT2G1-after the section on Coordinate Graphing.

Learning Outcomes

Teaching, learning and evaluation will focus on the student's ability to:

  • Review and consolidate skills in graphing, reading and interpreting a graph, using percentages, and numerical calculation;
  • Become aware of the rate of growth of the world's population and the implications of that continued growth;
  • Become aware of the composition of the world's population;
  • Understand that only a small portion of the world is habitable and that we all must share this space.

Classroom Development

Not all of these suggestions are meant to be followed in each of the above mentioned courses. Teachers should do those parts which are appropriate for their course and their students.

  1. This activity can be used in any of the courses mentioned above at the places indicated or at other places that the teacher may find appropriate.
  2. Duplicate and distribute the attached worksheets.
  3. Students should work cooperatively in small groups on these sheets. It would be appropriate for each group to post its results (perhaps on flip chart paper) for the rest of the class to see and discuss. It is probably not necessary to have every group post results for every question.
  4. Use class discussion time to see that the mathematics has been done correctly and to review the skills being used. Discuss the exponential nature of population growth.
  5. Show the video mentioned under "Resources."
  6. Spend some class time discussing the implications of population growth. Some topics for discussion are indicated at the end of the worksheets.

Timing

Allow 3 periods.

Resources

The Green Teacher, Volume 21, December 1990.

Global Teacher, Global Learner. Graham Pike and David Selby. Hodder and Stoughton:London, England, 1988.

World Population Video, 1990. A graphic simulation of the history of human population growth. Zero Population Growth Inc. Southern Illinois University of Carbondale.

Cross-disciplinary Links

This activity is a natural integrator in the Mathematics, Science and Technology program, even though it is primariy a mathematics lesson. Furthermore, the questions expand the linkages with the other disciplines into the Self and Society program. Be sure to discuss with other teachers the ways you can use this activity to support what they are doing and the ways they can build on what you are doing here.


Student Activity

Global Population Analysis

 

  1. The population of the world at various times is shown in the table below.
    YEAR Total World Popluation In Billions
    1000 BC  0.05
    200 BC 0.15
    1100 AD 0.32
    1850 1.0
    1930 2.0
    1960 3.0
    1970  3.5
    1983 4.6
    1990 5.2
    1995 5.8
    Show this information clearly on a graph using a suitable set of axes.

     

  2. Use your graph to estimate the population of the world in:
    (a) 1900
    (b) 1940
    (c) 2000

       

  3. Use your graph to determine how long it took for the population to double from:
    (a) 1 billion to 2 billion
    (b) 2 billion to 4 billion
    (c) 3 billion to 6 billion

       

  4. The surface area of the earth is about 5.25 x 108 km2. About 88% of this area is uninhabitable (because it is water, desert, ice, etc.).
    (a) What percentage of the earth's surface is habitable?
    (b) What is the habitable area of the earth's surface?
    (c) Calculate the portion of the earth's habitable surface area available to each person in:
    (i) 1850
    (ii) 1930
    (iii) 1960
    (iv) 1970
    (v) 1983
    (vi) 2000

       

  5. The composition of the world's population is as follows:
     Asian 56%
     European 20%
     African 10%
     South American 6%
     North American 6%
     Other 2%

    If the classroom, the small town, and the city, referred to in the chart below reflected the global composition of the earth's population, then calculate the number of people from each region or background that you would expect to find in each of these areas and use that information to complete the chart.

     
     Ethnicity  Classroom (30 Students)  Small Town (Pop. 2500) City (Pop 300,000)
     African      
     Asian      
     European      
     North American      
     South American      
     Other      

     

  6. In mid-1989, the world's population was 5 233 824 000 people. The following information about births and deaths was determined.

        Births per Deaths per 
      Year 144 104 397 51 028 787
      Month 12 008 745 4 252 399
      Week 2 763 649 978 362
      Day 394 808 189 805
      Hour 16 450 5 825
      Minute 274 97
      Second 4.6 1.6

     
    Calculate the rate of change in global population:
    (a) per second
    (b) per hour
    (c) per week

       

  7. Some topics for discussion or further study.
    (a) What is needed to achieve zero population growth or to have the population start to decline? Could these events happen?
     
    (b) Consider what sort of future "Baby five billion" would face if born into the following situation:
    (i) Current Population = 20 million
    Death Rate = 6. 3 per thousand
    Birth Rate = 22. 5 per thousand
    (ii) Current Population = 20 million
    Death Rate = 10.5 per thousand
    Birth Rate = 50.9 per thousand
     
    (c) What effect will continued growth have on:
    the physical environment? cities?
    food, water, shelter? social services?