LESSON PLANS – Unit 7 Probability of Simple and Compound Events (Week 1) Periods 2nd, 3rd & 4th - Math Reg 7th Week of 12/8/14-12/12/14 Learning Goal(s): Students will understand and apply the methods of probability to develop and utilize sample space, compare Experimental and Theoretical Probabilities, develop and use graphic organizers, use information from simulations for predictions, and expand their knowledge of probability with simple events on to compound events. Vocabulary: Additive Inverse: Objective(s): This unit begins with the foundational understandings related to simple probability (e.g. chance, randomness, relative frequency, probability models). Students extend their learning to include compound events. References and Resources: Textbook Chapter 9-1, 9-2, 9-6; Engage NY Module 5 Lesson 1-7; CPALMS, Illustrative mathematics Standards: MAFS.7.SP.3.5 (DOK 1), MAFS.7.SP.3.6 (DOK 3), MAFS.7.SP.3.7a (DOK 3), MAFS.7.SP.3.7b (DOK 3), MAFS.7.SP.3.8a (DOK 3), MAFS.7.SP.3.8b (DOK 3), MAFS.7.SP.3.8c (DOK 3), MAFS.7.RP.1.3 (DOK 3), MAFS.K12.MP.3.1, MAFS.K12.MP.4.1, MAFS.K12.MP.5.1, MAFS.K12.MP.6.1 Monday Tuesday I DO: Lead discussion on probability and the likelihood of events I DO: Probability Power Point Agenda: WE DO: Group work on separating various items into their likelihood on the 0-1 scale Practice finding probability “Engage NY” mod 5 Lesson 1 Wednesday Explain experimental probability activity and its importance I DO: Find the theoretical probability events WE DO: First Assessment – see what you know already YOU DO: Theoretical Probability discussion Theoretical and Experimental Probability YOU DO: Learn difference b/w sample space and outcome Find probability of various simple and compound events Worksheet 9-4 page 495 problems 1-4 Teacher: J. Williams WE DO: YOU DO: Start with coin toss experiment where class sits if they are wrong (hands on head for heads, hands behind back for tails) perimental Probability Explained and Calculate probabilities for various situations Worksheet 9-2 page 477 problems 1-4 Thursday I DO: WE DO: YOU DO: Clear up misconceptions on probabilities Perform and experiment to see the relationship between theoretical probability and experimental probability Toss penny several times and chart the frequency Create tree diagrams based on theoretical probability of events Friday I DO: Discuss Tree Diagrams and Fundamental Counting Principle WE DO: Practice creating tree diagrams YOU DO: Perform experiments and right down the probability of each event. Essential Questions: Higher Order Thinking Question: Homework/ Reteach/Relearn: 1. 2. 3. 4. 5. 6. 7. 8. Why must the numeric probability of an event be between 0 and 1? How can you determine the likelihood that an event will occur? How are theoretical probabilities used to make predictions or decisions? What is the difference between theoretical and experimental probability? What does probability mean? When is a tree diagram beneficial? What is the relationship between experimental and theoretical probabilities? What is the relationship between experimental and theoretical probabilities? Complete worksheet 9-1 if needed Complete worksheet 9-4 if needed Complete worksheet 9-2 if needed n/a ESE MODIFICATIONS: Vary presentations of subject matter. Cooperative learning. Extra time. Provide outlines/notes of key concepts and ideas. Modified assignments, quizzes, and tests. Breakdown lesson into smaller segments-“chunking.” Specialized grading criteria. Modified/supplementary materials. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. ELL (ESOL) MODIFICATIONS: Context clues (gestures, expression, and body language). Multiple media to provide different stimuli Individualized instruction/assistance. Peer tutoring and Small Group Instruction. Visual and audiovisual aids Adjust or shorten assignments. Alternative assessments. Adapt text materials to facilitate comprehension. Build on student’s existing knowledge. Modify speech What is the difference between theoretical and experimental probability? What is the relationship between experimental and theoretical probabilities? n/a