WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name _Irene Runco________ Date 11.17.14 _ Ed line was updated this week X My class webpage was updated this week. X Length of Lesson __15 days_ Content Area 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 (optional) Normal Distribution ( optional) 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 stem-andleaf 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: MATERIALS AND RESOURCES: INTERVENTIONS: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) Unit 1 Chapter : Systems of Equations ACTIVE ENGAGEMENT USED: and Inequalities ( Glencoe Text ) Cooperative learning Think pair share Warm ups & Exit polls(daily) Notetaking Homework (daily) Higher level Guided practice and thinking Enrichment from Glencoe Grab & Go DESCRIBE USAGE workbooks Students will work from basic procedures to solve Curriculum Binder: Algebra 1 before books equations This has very good Solving world problems additional practice for Solving real world students in these area applications Proving properties of algeb SCAFFOLDING USED : Chunking Building on Prior knowledge Providing Visual Support Glencoe teacher works…chalkboard is Good for Promethean Board use. MINI LESSONS: Monday The counting principle *Permutations and combinations *Probability and odds *Mutually exclusive and inclusive events *Measures of central tendency *Range and Interquartile Range *Box-and-whisker, stem-and-leaf, bar graphs Tuesday 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. Also www.shodor.org has good interactive material Linear Function Machine is a good activity from this site Truly struggling students will be referred to guidance/SAP (RTI) • 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. Wednesday Thursday 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 §12 – 1 p. 635-636 §12 – 2 p. 641-642 §12 – 3 p. 649-650 §12 – 4 p. 655-656 §12 – 5 p. 661-662 (op) §12 – 6 p. 667-669 (op) Note: Reading with Mathematics pages from Grab & Go are especially good for standard classes. Friday STAR project completion 14 Chapter 12 pretest Math Lab – Tuesday, Thursday Multiple counting principle Guided notes on multiple outcomes Calculating nPr and nCr Multiple counting worksheet P 1 if homework packet P 2 of homework packet