These activities can be used to study probability area models.
The first activity asks students to create a maze from a set of directions. Students create a math character that will navigate through 13 possible paths which lead to two possible caves. Students are asked to find the probability of ending in each one of the two caves. The second part of this activity asks students to write their own directions for a maze, to create the maze and to draw the area model.
The second activity involves a 10 x 10 grid. Students create a garden based on given plants and dimensions. A sunflower seed is hidden in the garden in one of the sections. Students are asked to determine the probability of three sections. They are also asked to find the probability of the sunflower seed being hidden in 3 sections if a person were to guess where it was 25 times.
A six question probability quiz asks students to work with area models to find theoretical probabilities. Students are asked to design a floor plan on a 10 x 10 grid with given room dimensions. They are also asked to find the probabilities of an object being hidden in each room if they played the game 100 times. The second part of the quiz asks students to create an area model based on a maze with three different ending chambers. They are asked to find the probabilities of ending in each of the three chambers. Lastly, if they played the game 50 times, how many times would they expect to end in each chamber.