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The Dating Game
Radioactive Half-Life and Dating Techniques

data | hook | main | background & resources | student

Author Contact Information

Hillary Tulley
Niles North High School
Skokie, Illinois
tulley@tea.rice.edu

Adapted from Darnell Giron M&M half-life in Earth at Hand A collection of arcticles from NSTA's journals. Collectd by Sharon M. Stroud and Jeffrey C. Callister

Overview
Students will:

  • employ a simplified model of radioactive decay to understand the concepts of decay, half life and absolute dating.
  • construct a graph of the radioacative decay of an imaginary element and of14C
  • use this new found knowledge to date an actual or contrived problem.

    Grade Level/Discipline
    Grades 7-9 Geology, Biology

    National Standards
    1. Content Standard B -Physical Science 2. Content Standard C - Life Science 3. Content Standard D - Earth and Space Science

    Pre-activity set-up

    Materials
    For each group of 2-4 students:

  • a container (tupperware, shoe box etc. - NOT lab ware)
  • 100 M&M's There must be exactly 100 M&M's for this activity to work successfully.
  • graph paper
  • pencils for each student
  • rulers to make data tables
  • map of Dry Valleys or TEA website (tea.rice.edu), (optional)

    Time Frame

  • 30 minutes of student work plus discussion.
  • Follow up activities take about 30 minutes plus discussion.

    Engagement and Exploration (Student Inquiry Activity)
    Show picture of mummified Weddell seal. Seals like this have been found in some of the Dry Valleys of Antarctica. Hillary Tulley saw these seals when she was in Wright Valley on January 27, 1999.
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    How far from the ocean are the seals? How can we find out? - Students will probably have a good idea how to do this. Invite a few students to calculate this using a map of Antarctica or of the Dry Valleys.

    How old do you think these seals might be? How can we find out? How do we know?

    Now is the time to introduce the concept of absolute dating and half- life.(See Background).

    Distribute student sheets and graph paper.

    Go over student directions - sheets follow.

    Before going into lab, students will make a data table, using a ruler and pencil. Elicit suggestions from the class as to what needs to be in the data table:

  • a title
  • headings for the trials, "unchanged atoms."
  • students will ask how many trials they should include in the table. Suggest 20 to start with and they can add if they need to.
  • Ask students to suggest how they will find how many atoms are "unchanged. "Will they count them every time or subtract from the previous total? Subtraction will be easier! If your class requires an example, then give it to them.

    Trials

    Number of

    "unchanged" atoms

    1

    2

    3

    4

    5

    6

    etc.

    Part of the fun of this lab is eating the M&M's. Students can eat the daughter or "changed" M&M's. Encourage equitable sharing. However, if this is not something that you want to encourage, you can use pennies instead.

    After students have completed the lab and recorded data in the tables, it is time to produce the graphs. Again, elicit from students what things need to be included in a graph.

  • a title (M&M half-life?)
  • labeling of the axes. This leads naturally into a discussion of the dependent and independent variables. The dependent variable is usually graphed on the "y" axis and the independent variable is placed on the "x" axis. Which is independent in this case? Trial number. Which is dependent? Number of "unchanged" atoms."
  • Title the graph, label and number the axes. An example of a completed graph follows:


    M&M Half-Life

    Explanation (Discussing)
    During the student's work and/or as a separate step after the graphs are completed, have the students explain what they have figured out about radioactive decay, half-life, isotopes, etc. from the exercise. In this model of half-life decay each shake is comparable to the passing of time; the number of "unchanged" candies is comparable to the number of unchanged atoms.

    Which kind of the M&M's would be called parent? The "unchanged" Which would be the daughter? The "changed." Relate this to radioactive atoms.

    Have them explain how they think scientists could use radioactive decay to determine time since an organism's death. Design a way for all students to demonstrate understanding by this point. How many "shakes" old would an organism be that had 15 "unchanged" atoms left? If we convert the shakes to years, could we use this to tell time?

    Elaboration (Polar Applications)
    Catch conceptual problems here or the rest of the activity will not teach what it is designed to teach.. This is a stop point if you have short class periods. Here I often have students gather information on radioactive decay to share the next day.

    Use these assignments to see if the students can transfer what they should have learned to a new situation. The situation presented is based on a true finds but have been embellished to make more useful scenarios.

    Teacher Discovers Death in Wright Valley, Antarctica

    Students will be ready and eager to discover the age of the mummified seal from Wright Valley. Show the picture of the seal again and tell students that they will be able to determine the age of the seal by using the decay of carbon isotopes.

    Eventually the scientists requested a 14C radioactive dating test done on the seal's body. To their astonishment the test found that for every 100,000,000 12C atoms present in the seal's body,4,100 radioactive 14C atoms were present, instead of the 10,000 atoms expected for a recently deceased seal.

    How long ago did the seal die? _________________________.

    If your class can do it, give them the minimal information required: 14C half-life is approximately 5,700 years and let them create their own table, graph and solution to the problem. Some classes may need the following table, but all can generate the 14C graph on their own.

    Radioactive Decay of Carbon-14

    Years

    since death

    14C atoms remaining

    per 1.0 x 10812C atoms

    0

    10,000

    5700

    5000

    11,400

    2500

    17,100

    1250

    22,800

    625

    28,500

    312

    34,200

    156

    39,900

    78

    45,600

    39

    51.300

    20

    57,000

    10

    62,700

    5

    68,400

    2

    II. Murder Above the Arctic Circle

    The body of a man wearing the traditional clothes of the Saami people was found at the bottom of one of the many peat bogs that remain from the last glacial retreat. Buried in the back of his skull was a stone ax, made in the archaic style. The stone ax head was sharpened by chipping and the blade was bound to a forked wooden handle by crisscrossed hide strips.

    Bog acid has tanned the man's skin. Although his skin is wrinkled and tightly drawn over his facial bones, his features are still distinguishable and his clothes and internal organs are still intact and available for police analysis. The withered condition of the body has convinced the police that the homicide happened at least 10 yeas ago. From forensic evidence, we can conclude that he was murdered in a different place, dragged to the bog and tossed in.

    After months of investigation no new evidence or information was turned up Eventually the police requested a 14C radioactive dating test done on the victim's body and clothes.To their astonishment the test found that for every 100,000,000 12C atoms present in the man's body, and clothes only 3,000 radio-active 14 C atoms were present, instead of the 10,000 atoms expected for a recently deceased person. This has greatly confused the police who had assumed that the murder was a recent event.

    How long ago did the murder take place ?_________________________.

    If your class can do it, give them the minimal information required: C14 half-life is approximately 5,700 years and let them create their own table, graph and solution to the problem. Some classes may need the following table, but all can generate the C14 graph on their own.

    Radioactive Decay of Carbon-14

    Years

    since death

    14C atoms remaining

    per 1.0 x 10812C atoms

    0

    10,000

    5700

    5000

    11,400

    2500

    17,100

    1250

    22,800

    625

    28,500

    312

    34,200

    156

    39,900

    78

    45,600

    39

    51.300

    20

    57,000

    10

    62,700

    5

    68,400

    2

    Exchange (Students Draw Conclusions)

    Evaluation (Assessing Student Performance)
    Other scenarios you could create using radioactive decay rates:

  • How old is the buried ice in Beacon Valley, Antarctica? Pottassium/Argon Dating was performed. See background for half-life information. It was discovered that for every 100,000 atoms of Potassium 40, there were 1500 atoms ofArgon-40.
  • Burial grounds of Native Americans in your area.
  • Mummies (Egyptian and Andean), baskets, pyramids, tombs
  • Boat remains from Vikings
  • Archaeologists from the future sifting thorough our landfills.

    data | hook | main | background & resources | student