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Using Dice to Explore Radioactive Decay (5 Favorites)
ACTIVITY in Half Lives, Radioactive Isotopes. Last updated January 2, 2018.
Summary
In this activity, students will use dice to simulate the radioactive “decay” of samples of two different elements with two different halflives. At the end of the simulation, all the groups will pool their data (by round) and then the class results will be graphed. The graphs will be analyzed to illustrate the process of radioactive decay and to determine the halflife of each element in the fictitious time units of “rounds”.
Grade Level
High School
NGSS Standards
HSPS18: Develop models to illustrate the changes in the composition of the nucleus of the atom and the energy released during the processes of fission, fusion, and radioactive decay.
Objectives
By the end of this activity, students should be able to
 Define the term “halflife”.
 Understand that different radioactive atoms decay at different rates.
 Understand that radioactive atoms decay into other atoms.
 Describe the nonlinear nature of a graph of radioactive decay.
 Use a decay graph to determine the halflife of an element.
Chemistry Topics
This activity supports students’ understanding of
 Radioactive isotopes
 Radioactive decay
 Halflives
Time
Teacher Preparation: 510 minutes
Lesson: 80 minutes
Materials (per group)
 One 6sided die
 Two recording charts (template provided)
 One green pencil or pen
 One red pencil or pen
 Materials to create handdrawn graphs (graphing paper etc.) or access to computer graphing program (NOTE: each student will be generating two graphs)
Safety
 No specific safety precautions need to be observed for this activity.
Teacher Notes
 Supplemental files included from download are:
 Template for group colorcoded data recording
 Sample class data set including completed colorcoded recording sheets, and samples of each type of graphs
 Answer key for the postactivity analysis questions
 Prior to this activity, students should have been exposed to the concept of radioactivity and radioactive decay.
 Prior
to starting the activity the teacher should remind students that while in this
simulation the radioactive “atoms” decay directly into nonradioactive “atoms”,
often this is not the case with real atoms. They often decay into radioactive atoms,
which in turn can undergo further decay.
 Prior to starting the activity, the teacher should review how to use the colorcoded recording chart to keep track of which “atoms” remain radioactive and which have “decayed” and are nonradioactive for each round. Particular emphasis should be made to remind students that once an atom “decays” and is recorded as red, it should be skipped for all subsequent dicerolling rounds. (See sample data record sheet)
 For the first element sample, an atom will “decay” to a nonradioactive element if a 6 is rolled. As noted above, a colorcoded chart will be used to keep track of which atoms decay into nonradioactive elements (red) and which stay radioactive (green). Atoms that do not decay on the first “round” will be tested again during a second “round” and the process will be repeated for eight rounds. For the second element, everything will be kept the same, but an atom will “decay” each round if either a 5 or a 6 is rolled.
 Groups
should be between 24 students and can be determined depending on what is
appropriate for the size of the class and the space available. However, it is important that the total
number of “atoms” tested by the class be 100 or more. Since each group tests 20 “atoms” of each element,
there should be a minimum of five groups.
 Class data will be captured in a class spreadsheet and students will use class data in their graphs. The class spreadsheet can be generated on a whiteboard/blackboard/smart board or as a shared electronic document (Google sheet, Excel etc.) depending on the preferences of the teacher.
 After rolling the dice and filling out a colorcoded recording chart for the “atoms” of each element, students will generate two graphs: one is a stacked bar graph for the number of radioactive and nonradioactive atoms present vs. rounds completed and the other is a line graph of the number of radioactive atoms of each element remaining vs. time (in rounds). Students should have familiarity with generating these types of graphs or the teacher will need to review this prior to the graphing portion of the activity. The graphs may be generated by hand or using a computer depending on the preferences of the teacher. Sample graphs are included as supplemental files.
 The student portion for this activity is estimated at 80 minutes; however that can be reduced if the graphing portion is completed outside of class.
 For
lower level classes, it may be beneficial to have the total number of “atoms” of
each element tested by the class be 100 so it is easier for students to
identify when half of the “atoms” have “decayed”. (See sample graphs)
For the Student
Lesson
Background
Radioactive materials have a host of important uses in our lives including how we diagnose and treat various diseases, how we generate electricity and even how we monitor the presence of fire in our homes. The purpose of this activity is to model the radioactive decay of unstable, radioactive atoms.
Prelab Questions
Research two specific uses of radioactivity and describe each use below. Your description should include the specific radioactive atom or atoms involved as well as and details about how the radioactive decay is utilized to accomplish each task.
Use #1:
Use #2:
Objective
We are going use dice to model radioactive decay. The questions we are examining during this simulation include:
 What happens to radioactive atoms when they decay?
 How do scientists describe the rate of radioactive decay?
Procedure
 You will need a data recording sheet, die, one green pencil and one red colored pencil.
 Your group’s task is to simulate radioactive decay of 20 imaginary “atoms” of element #1 by following the steps listed below:
Round One: You will roll the die twenty times (once for each atom)
 If you roll a “6” that atom has decayed into a nonradioactive atom* and you will color the box on the data recording sheet for that atom red.
 If you roll anything else, that atom has not decayed and you will color the box on the data recording sheet for that atom green.
Round Two thru Eight:
REPEAT steps 2 a, b, c FOR ONLY THOSE ATOMS THAT WERE GREEN IN PRECEEDING ROUND (still radioactive)
 Next you will repeat the process (steps 2 a, b, c) for 20 atoms of element #2 using a second (new) data recording sheet. This time you will mark the box for the atom red if you roll EITHER a “5” or a “6”.
 Enter your group’s data in the appropriate place in the shared class data table.
*NOTE: In our simulation for the sake of simplicity, once an atom decays, it is no longer radioactive. In reality, radioactive elements will often decay into other radioactive elements, which can undergo further decay.
Analysis
Part I: Graphing Our Data
 Each student should make stacked column graph of the class data illustrating the number of “radioactive” atoms remaining (still green) and the number of “decayed” atoms (turned red) for element #1 at the end of each round.
The graph should have the following characteristics:
 Xaxis: Independent variable: Rounds
 Yaxis: Dependent variable: Number of atoms (“radioactive” or “decayed”)
 Be sure to include a key, descriptive title, & label your axes
 Each student will also make a line graph of the class data for the number of “radioactive” atoms (still green) at the end of each round for BOTH element #1 and element #2.
Your graph should have the following characteristics:
 Xaxis: Independent variable: time (rounds)
 Yaxis: Dependent variable: # of “radioactive” atoms remaining (still green)
 Both data sets plotted on one graph
 Each data set with points connected in a smooth curve
 Be sure to include a key, descriptive title, & labeled axes
Part II: Analyzing Our Graphs
 Melanie thinks that when radioactive isotopes “decay” it means the atom disappears into nothing releasing radioactivity. Melanie’s idea is not completely correct. Explain using specific data we collected today to support your response.
 Scientists
often measure the rate of decay of radioactive elements in terms of
“halflife” or the amount of time required for half of a radioactive sample
to decay. Using your
line graph, determine the halflife for each element
in today’s simulation.
NOTE: Your unit of time will be “rounds”. Halflife of element #1:
 Halflife of element #2:
 Halflife of element #1:
 After one halflife, ½ of the sample has decayed so ½ is still radioactive. After a second halflife, ½ of the remaining material (½ of the original) has decayed leaving ¼ of the original (½ of ½) still radioactive. At the end of three halflives, what fraction of a radioactive isotope would you expect to still be “radioactive” (1/2, 1/4, 1/8, etc.)? What about five halflives?

 Based on the class data halflife you calculated above, how many rounds would it take until 1/8 of the original element #1 sample was still radioactive? HINT: how many halflives must have occurred?
 Based on the class data halflife you calculated above, how many rounds would it take until 1/8 of the original element #2 sample was still radioactive? HINT: how many halflives must have occurred?
 Consider the following statement:
The longer the halflife, the faster the rate of radioactive decay. Is this statement true or false?
 Explain using specific data we collected today to support your choice
 Consider
the following statement:
The rate of radioactive decay is always the same, constant value for all radioactive isotopes no matter what element they are. Is this statement true or false?
 Explain using specific data we collected today to
support your choice.
 Is this statement true or false?
Conclusion
Based on what you learned today, answer the following questions:
 What happens to radioactive atoms when they decay? (Be specific, but be careful not to overgeneralize)
 How do scientists describe the rate of radioactive decay? Is it linear?