WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name _Irene Runco_ Date 12.8.14 _ Length of Lesson __5 days_ Ed line was updated this week X My class webpage was updated this week. X Content Area __ Honors Algebra 2 STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: Unit 12 : Probability and statistics Bivariate data can be modeled with mathematical functions that approximate the data well and help us make predictions based on the data Stem and leaf plots Box whisker plots Multiple counting principle Permuations and Combinations Independent probability Multiplying probabilities Adding probabilities Statistical Measures Normal Distribution Binomial experiments KEYSTONE ANCHORS: A2.2.3.2.1 Use combinations, permutations, and the fundamental counting principle to solve problems involving probability. A2.2.3.2.2 Use odds to find probability and/or use probability to find odds. A2.2.3.2.3 Use probability for independent, dependent, or compound events to predict outcomes. ELIBIBLE CONTENT: M11.E.1.1.1 Create and/or use appropriate graphical representations of data, including box-and-whisker plots, stem-and-leaf plots, scatter plots, line/double line, bar/double bar and circle graphs. M11.E.1.1.2 Answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots, scatter plots, line and double line graphs, bar and double bar graphs and circle graphs). M11.E.2.1.1 Find/select/use the appropriate measure of central tendency (mean, mode or median) of a set of data given or represented on a table, line plot, or stemand-leaf plot. M11.E.2.1.2 Calculate and/or interpret the range, quartiles and interquartile range of sets of data. UNDERSTANDING GOALS (CONCEPTS): Analysis of one and two variable (univariate and bivariate) data Solve problems involving independent and dependent events using the counting principle. ESSENTIAL QUESTIONS: How do you decide which functional representation to choose when modeling a real world situation, and how would you explain your solution to the problem? Solve problems involving linear permutations and combinations. Find the probability and odds of events Find the probability of mutually exclusive and inclusive events Use measures of central tendency (Mean, median, mode) to represent a set of data and describe how outliers affect measures of central tendency. Find measures of variation (range & interquartile range) for a set of data. Answer questions based on data displays (boxand-whisker, stem-and-leaf, scatter plots with lines of best fit, and bar graphs). . VOCABULARY How can we use univariate and bivariate data to analyze relationships and make predictions? STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Outcome, (2) Sample Space (2) , Event, Independent Events, Dependent Events, (3) Fundamental Counting Principle, (2) Permutations, (2 Combinations, (2) Probability, Odds, (1) Compound Event, (2) Mutually Exclusive, Inclusive, (3) Measures of Central Tendency, Mean, Median, Mode, Range, (2) Interquartile Range, (3) Box-and-Whiskers, (2) Stem-and-Leaf (2) Students will be able to: 1) Solve problems involving independent and dependent events using the counting principle. 2) Solve problems involving linear permutations and combinations. 3) Find the probability and odds of events 4) Find the probability of mutually exclusive and inclusive events 5) Use measures of central tendency (Mean, median, mode) to represent a set of data and describe how outliers affect measures of central tendency. 6) Find measures of variation (range & interquartile range) for a set of data. 7) Answer questions based on data displays (box-and-whisker, stem-and-leaf, scatter plots with lines of best fit, and bar graphs). Review, quiz, computer review, and test ( 5 days ) STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will participate in 1. class discussions, 2. guided notes & practice, 3. computer work, 4. whiteboard activities OTHER EVIDENCE: Daily warm up or exit polls , homework, Keystone Diagnostic Tool, Study Island and Glencoe.unit tests, quizzes, formative assessments. Student work in portfolio STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) ACTIVE ENGAGEMENT USED: Cooperative learning Think pair share Notetaking Higher level thinking DESCRIBE USAGE Students will work from basic procedures to solve equations Solving world problems Solving real world applications Proving properties of algeb SCAFFOLDING USED : Chunking Building on Prior knowledge Providing Visual Support MINI LESSONS: The counting principle *Permutations and combinations *Probability and odds *Mutually exclusive and inclusive events *Measures of central tendency *Range and Interquartile Range *Box-andwhisker, stemand-leaf, bar graphs MATERIALS AND RESOURCES: Unit 1 Chapter : Systems of Equations and Inequalities ( Glencoe Text ) Warm ups & Exit polls(daily) Homework (daily) Guided practice and Enrichment from Glencoe Grab & Go workbooks Curriculum Binder: Algebra 1 before books This has very good additional practice for students in these area Glencoe teacher works…chalkboard is Good for Promethean Board use. INTERVENTIONS: Study Island A+ Math Math Lab Khan Academy Videos Keystone Diagnostic Tool National Library of Virtual Manipulatives is an excellent site for use with promethean boards for this unit. On line activities are very good in this chapter for finding a pattern and making predictions based on your observations. ASSIGNMENTS: Note: all assignment are from the same page, but different questions are assigned based on grouping by teacher. Weekly blogs Word problem practice from 2008 copy of Algebra 2 (on line form Glencoe.com) Enrichment from 2008 Glencoe ( advanced) Khan Academy videos Also www.shodor.org has good interactive material Linear Function Machine is a good activity from this §12 – 1 p. 635-636 site §12 – 2 p. 641-642 §12 – 3 p. 649-650 Truly struggling students §12 – 4 p. 655-656 will be referred to §12 – 5 p. 661-662 guidance/SAP (RTI) §12 – 6 p. 667-669 • Small group/ flexible grouping will occur if necessary. • Students will be encouraged to stay for or find help with a math teacher during free time, after school, or lunch. Note: Reading with Mathematics pages from Grab & Go are especially good for standard classes. Monday 68 B § 12-5 Adding probabilites Do now: Give an example of an event where you might double count the outcomes. Change it to eliminate this from happening. § 12- 5 worksheet Tuesday 69A Standard deviation How to use the calculator P 667 # 9,13, 17-20 Wednesday 70B Normal distribution i Thursday 71 A Binomial expansion Friday 72B Sampling and surveys