PreCalculus

Contents Page

Standard Algebra

COURSE: PROBABILITY AND STATISTICS

TOPIC: Probability

STAGE 1: IDENTIFY DESIRED RESULTS
Content Standard(s) Generalizations about what students should know and be able to do
Established Goals: CT Frameworks: a) Use a variety of numerical representations in the base ten system to describe quantitative relationships. b) Understand and apply basic concepts of probability. NCTM Standards: a) Develop a deeper understanding of very large and very small numbers and of various representations of them. b) Understand the differences among various kinds of studies and which types of inferences can legitimately be drawn from each. c) Know the characteristics of well-designed studies, including the role of randomization in surveys and experiments.
Enduring Understandings Insights earned from exploring generalizations via the essential questions (Students will understand THAT…)	Essential Questions Inquiry used to explore generalizations
The more times an experiment is conducted the closer the empirical probability of an event occurring will be to its theoretical probability. When calculating probabilities scientific notation is necessary to represent small probabilities.	How many times should an experiment be conducted in order to make sure the conclusions are valid? Is the proper notation being used when representing small probabilities? What is the probability of winning a certain game?
Knowledge and Skills What students are expected to know and be able to do
Students will know… What an experiment is and how many times an experiment should be conducted. Scientific notation and how to represent large answers to counting problems and small answers to probability problems.	Students will be able to… Conduct an experiment several times in order to make a conclusion. Represent results in the proper notation Solve problems involving probability Create a game based on probability
STAGE 2: DETERMINE ACCEPTABLE EVIDENCE
Performance Task(s) Authentic application in new context to evaluate student achievement of desired results designed according to GRASPS (Goal, Role, Audience, Setting Performance, Standards)	Other Evidence Application that is functional in a classroom context only to evaluate student achievement of desired results
Students will conduct individual experiments and record their results. The class will then combine all of its data and determine whether the individual or class experiment brought the result closer to the theoretical probability. Students will create their own game (including game board, instruction pamphlet, and game pieces) based on the rules of probability and the study of current games on the market.	Classwork on experiments to emphasize the law of large numbers. Applications in class involving probability. Quizzes
STAGE 3: DEVELOP LEARNING PLAN
Learning Activities: Complete applications in Exploring Probability.