RHS Daily lesson plans Analytical Geometry Day & Date: Monday, February 23 Standard: MCC9-12.S.CP.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). MCC9-12.S.CP.7 Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. Essential Question/Learning Goal: In what ways can a Venn diagram represent complex situations? How can I use a Venn diagram to organize various sets of data? Learning goal: Students will be able to collect information and organize into a Venn diagram and describe the sample space using set notation. Lesson Opener: (5 min.) 2 EOCT Practice Questions Procedures/Strategies: (45 min.) Match set notation with shaded Venn Diagrams Collect data on music preference as students initial the type of music they prefer Students will create a Venn Diagram of the data and answer questions in set notation. Poll class on social media. Have each table group make a Venn diagram to visualize the information and answer questions in set notation form. Lesson Summarizer: (5 min.) Assessment/Evaluation: matching, Venn diagrams, questions, parking lot Materials Needed: smart board, iPad, guided notes on mutually exclusive and overlapping Day & Date: Tuesday, February 24 Standard: MCC9-12.S.CP.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”). MCC9-12.S.CP.7 Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. Essential Question/Learning Goal: In what ways can a Venn diagram represent complex situations? How can I use a Venn diagram to organize various sets of data? Learning goal: Students will be able to collect information and organize into a Venn diagram and describe the sample space using set notation. Lesson Opener: (5 min.) 2 EOCT Practice Questions Procedures/Strategies: (45 min.) Students will work with table groups. They will determine a topic to gather information about that has the chance for overlap. One team member will poll the class to gather their data One team member will draw the Venn Diagram One team member will define the events in context Team will use the Venn Diagram to determine the probabilities of each event Make a poster Lesson Summarizer: (5 min.) Socrative formative assessment Assessment/Evaluation: EOCT questions, Create Venn Diagram poster, Socrataive assessment Materials Needed: smart board, iPad, guided notes on mutually exclusive and overlapping Day & Date: Wednesday, February 25 Standard: MCC9-12.S.CP.7 Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. Essential Question/Learning Goal: How do you find the probability of mutually exclusive events and overlapping events? Learning goal: Students will be able to distinguish between mutually exclusive and independent events. Lesson Opener: (10 min.) 5 clicker questions Procedures/Strategies: (40 min.) Students will go to different stations to solve probabilities involving mutually exclusive events and overlapping events Identify difficult problem. On a sticky note write what is confusing about the problem. Identify students that can explain each problem and have them help those with difficulties. Lesson Summarizer: (5 min.) The important Thing: The important thing about mutually exclusive events and overlapping events is to list the sample space and find the total. __ __ __ The important thing about mutually exclusive events and overlapping events is to list the sample space and find the total. Assessment/Evaluation: clicker questions, stations, important thing Materials Needed:, clickers, Smart board, iPad Day & Date Thursday, February 26 Standard: MCC9-12.S.CP.7 Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model. Essential Question/Learning Goal: In what ways can a Venn diagram represent complex situations? How can I use a Venn diagram to organize various sets of data? Learning goal: Students will be able to collect information and organize into a Venn diagram and describe the sample space using set notation. Lesson Opener: (10 min.) 5 EOCT Practice Questions Procedures/Strategies: (40 min.) Think-Pair-Share: Students will be given a constructed response question from GOFAR. Have them think of a strategy to help organize the information. Compare strategies with a partner. Share ideas with the class. On board post a Venn Diagram and a Frequency Table with the information organized’ Use the Venn Diagram and Frequency table to answer probability questions Write the probabilities in set notation. Lesson Summarizer: (5 min.) Write a letter to the absent student about which stragegy you like using to organize your data Assessment/Evaluation: matching, Venn diagrams, questions, parking lot Materials Needed: smart board, iPad, guided notes on Intro to Probability Day & Date: Friday, February 27 Standard: MCC9-12.S.CP.5 Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations MCC9-12.S.CP.6 Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model. Essential Question/Learning Goal: How are everyday decisions affected by an understanding of conditional probability? Learning goal: Student will discover the difference between probability and conditional probability. Lesson Opener: (10 min.) 5 EOCT Practice Questions Procedures/Strategies: (30 min.) Discuss Anti-smoking data in frequency table Use table to find the probabilities using set notation Discover conditional probability in everyday situations Write situations in set notation. Lesson Summarizer: (10 min.) Socrative 321 Assessment/Evaluation: writing situations in set notation. EOCT questions, 321 Materials Needed: iPad, smart board.