By the end of this lesson, students will:
This begins with a class discussion where the teacher has a coin and asks the students what are the chances of flipping two heads in a row. Ask students to volunteer on how they came up with their answer. Then ask them what are the chances of getting three tails in a row, bearing similarity to the game "3" that was played last lesson. Students have only worked with determining the probabilities through means of calculation. The teacher will then discuss with students that the outcomes for tossing a coin can be written in the form of a tree diagram. Illustrating on the board on the coin toss experiment and asking the students what does the diagram resemble and notify them that is where it got its name from. FUN FACTS. The teacher then explains that these diagrams are used to keep track of the probabilities of a particular scenario.
Students will then be split into groups and be given manipulatives such as counters, dice, marbles and deck of uno cards to create their own problem of at least one dependent and independent events. Instead now expressing their probabilities using a tree diagram. Presenting to the class after they have created their independent and dependent event. Using the board to draw their tree diagram.
Students will then pair up and play an online game called "Racing Game with One Die" where each students takes control of one vehicle each. Using the online die generator, each player will roll a die and move 1 space depending on the number drawn. Firstly, the students will be tasked in making an unfair game where player 1 can only move if the die rolls on 1 and 6 while the player can move if it lands on 2,3,4 and 5. With each roll, each pair will work out the probability of moving a space using a tree diagram.
Then students will task in creating a fair game where both players have equal chance of winning the game and create a tree diagram using the new conditions they have made.
Some questions the teacher can ask includes: What factor of the event made the game unfair? What can you change to make it fair?
Students can be tasked for homework to create the most elaborate tree diagram they can think of and present it to class the following lesson.
Activity 2 sourced from: http://www.shodor.org/interactivate/activities/RacingGameWithOneDie/