# Semester 1 Topic 8 Level K

 Task Name : Probability and Genetics Task Level : K (Year 10) Semester : 2 Topic : Chance VC Strand : Chance Web Address : http://maths.crusoecollege.vic.edu.au/chanceK Equipment Needed : Four Blank Dice per student Victorian Curriculum outcome : Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence. Task description : Students develop a game to demonstrate understanding of genetics and show how to simulate experiments. Game must involve the simulation of genotype and phenotype of dihybrid crosses Students first use two six-sided dice (first one with three R’s, and three r’s; second one with three Y’s and three y’s) to simulate the genotype and phenotype of a crossed pea plant (R=round, r=wrinkled, Y=yellow, y=green) and roll them 100 times, recording the genotype and phenotype of each child produced. Once they have calculated the relative proportions of each genotype and phenotype, they then compare these to the theoretical ratios, calculated using tree diagrams. They then use these proportions to create the rules of a game. For example, they game may award more points to a genotype or phenotype that has a low probability of showing up. Students present: The game and rules The justification for their rules, including graphs and tree diagrams showing relative phenotype and genotype frequencies.Extension: students apply “selective pressure” by creating new dice: one with four R’s and two r’s and one with four Y’s and two y’s. They then re-run the 100-roll experiment, compare with the theoretical (shown with tree diagram) and alter the rules of the game to reflect the new ratios. Assessment options : Written or digital records of the tree diagrams used to show the fair games. Teacher notes : This task was created for the UniBridges course. It requires some knowledge of genetics (although you could probably teach the genetics involved fairly quickly).