Subject: Mathematics # of Students: # of IEP Students:
Major content: Probability Unit Title: Evaluating Games of Chance
1. Students will review and develop a deeper understanding of experimental and theoretical probabilities and the relationship between them, using data from a given table to write analysis of the data based on probabilities.
2. Students will review and extend methods of finding experimental probabilities, including developing tables and tally sheets to record data and using those resources to analyze probabilities.
3. Students will review and extend methods of finding theoretical probabilities, including making an organized list, or counting tree, of all possible outcomes.
4. Students will review the distinction between equally likely and non-equally likely outcomes based on theoretical probabilities, using counting trees or organized lists.
5. Students will determine whether a game is fair or unfair based on the rules and the equally likely outcomes from theoretical probabilities.
6. Students will make unfair games fair by informally applying the concept of expected value and making tables or tally sheets of points possible when playing the game.
Kentucky Learner Goals: This lesson plan incorporates Kentucky Learner Goals 1.5 - 1.9 and 2.13. These goals are met through the use of manipulatives and the games introduced in the lesson. The students will use the information they gather to determine how many cubes of each color are in the container. They will also use the points to be earned in a game to determine the fairness of the game based on the expected value of the turns and which event is equally likely.
1.5 - 1.9 Students use mathematical ideas and procedures to communicate, reason, and solve problems.
2.13 Students understand and appropriately use statistics and probability.
Kentucky New Teacher Standards: This plan utilizes many of the New Teacher Standards determined by Kentucky Department of Education.
Standard I: Designs/ Plans Instruction - This lesson integrates learning experiences that encourage the students to be both resourceful and creative by requiring them to design their own game to be evaluated for fairness.
Standard II: Creates/Maintains Learning Climate - Through the playing of the games, in the lesson among peers, the students are motivated and encouraged to be involved in group activity and inquiry. The class discussion allows them the chance to ask and address questions individually. Standards of a mutually respectful classroom interaction is established and maintained by continuously informing the students of what is expected from their activity, discussion and work, and by constant monitoring of their progress.
Standard III: Implements/Manages Instruction - Students' prior knowledge of playing games and determining their fairness is directly linked to this lesson. With the questions, homework, discussion and development of their own game, multiple learning/teaching strategies developmentally appropriate to this grade level are used which also actively engages students in individual and cooperative learning experiences.
Standard IX: Demonstrates Implementation of Technology - The use of computer, the Teacher Web Page, and various Internet links provides the student the opportunity to become familiar with technology and learning how Internet use can be effective.