Planning  Unequal Probability  Tiles in a Sock Lesson Plan
Title of Activity Probability for Tiles in a Sock  Grade Level 2 +  Name Dr. Robert D. Sweetland  

Concept Assessment Information  
Concepts  Supporting Information  Misconceptions  Assessment 
The probability of an outcome is the number of specific outcomes out of the total number of all possible outcomes of one event. 
Each sock has three tiles. Each tile is the same size. A tile must be one of three colors. Each tile has an equal chance of being drawn. The possible combinations are: all one color, two the same color and one different, three different colors. The more objects of one color, the greater the chance of that color being selected. The more trials, the more accurate the theoretical values that are obtained. 
I can cause a certain tile to be selected. (think real hard, pick a certain way...). One tile always gets chosen. It is magic. 
Diagnostic Have students predict the probability for the sock with three tiles. Summative Have students predict the probability for selection of tiles with different combinations. Generative Use a spinner with equal partitions of different colors and have the students predict the probability for each colored section to be selected. 
Accuracy of prediction may be increased with more trials. 
Each selection increases the possibility of selecting all tiles at least once. Predictions are derived from possibilities. Some possibilities have a better chance of occurring than others. Some possibilities are not likely to happen. Some possibilities are impossible to happen. 
Young students do not understand proportion. They might look at their individual data and see that the numbers are closer to the actual numbers, than the sum of all the class numbers and not see how it is more accurate. 
Diagnostic How many times do think you would have to pick a tile and put it back into the sock, before you would have a pretty good guess as to the color of the three tiles in the sock? Summative Have students predict the number of times they would want to draw for different amounts of tiles. Generative Have the students predict the number of times a person would have to call out the colors on it before a person could predict the different colors of the sections accurately. 
Concept Conceptualization
Activity Information 

Activity Objective Students will make a specific number of random selections with replacement and draw a conclusion about the tile population in a sock. 

Materials for each group Sock, three colored tiles, graphing supplies pencil, paper and a chalkboard for the entire class  
Exploration Procedure 



Invention Activty One 



Invention Activy Two 



Invention Activy Three 



Discovery Activity 

Have students make spinners and tell the probability of different colors. 
Dr. Robert Sweetland's Notes ©