WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Naame Witon Date 12-15-14 Edline was updated this week: Yes Website was updated this week: Yes Length of Lesson 15 days Content Area Algebra 2 STAGE I – DESIRED RESULTS LESSON TOPIC: Probability and Statistics BIG IDEAS: (Content standards, assessment anchors, eligible content) objectives, and skill focus) Bivariate data can be modeled with mathematical functions that approximate the data well and help us make predictions based on the data. UNDERSTANDING GOALS (CONCEPTS): Students will understand: Analysis of one and two variable (univariate and bivariate) data Solve problems involving independent and dependent events using the counting principle. 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. 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-and-leaf plot. M11.E.2.1.2 Calculate and/or interpret the range, quartiles and interquartile range of sets of data. M11.E.2.1.3 Describe how outliers affect measures of central tendency. M11.E.3.1.1 Determine probabilities for independent, dependent or compound events and represent probability in multiple forms (i.e., fraction, decimal, percent). M11.E.3.1.2 Determine, convert and/or compare the probability and/or odds of a simple event. M11.E.3.2.1 Determine the number of permutations and/or combinations. M11.E.4.1.1 Estimate or calculate to make predictions based on a circle, line or bar graphs. M11.E.4.1.2 Use probability to predict outcomes. M11.E.4.2.1 Draw and/or write an equation for a line of best fit for a scatter plot. M11.E.4.2.2 Make predictions using the equations of bestfit lines of scatter plots. 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? How can we use univariate and bivariate data to analyze relationships and make predictions? Answer questions based on data displays (box-andwhisker, stem-and-leaf, scatter plots with lines of best fit, and bar graphs). VOCABULARY: Outcome, Sample Space, Event, Independent Events, Dependent Events, Fundamental Counting Principle, Permutations, Combinations, Probability, Odds, Compound Event, Mutually Exclusive, Inclusive, Measures of Central Tendency, Mean, Median, Mode, Range, Interquartile Range, Box-and-Whiskers, Stem-and-Leaf STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): Students will be able to: Display, analyze, and make predictions using univariate and bivariate data. STAGE II – ASSESSMENT EVIDENCE PERFORMANCE TASK: Students will demonstrate an adequate understanding via a chapter test. OTHER EVIDENCE: Daily and long-term observations, projects STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: NOW will include a spiraling review of prior knowledge as well as the upcoming lesson. We will use Collins writing 1 and 2 daily Support Daily: Warm up will include a spiraling review of prior knowledge to include the upcoming lesson Daily: Check for understanding using warmup, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. ( model, spiral scaffolding, instruct/reteach, as needed) MINI LESSONS Mini lessons will vary daily based upon student needs and informal assessments. We will use Active Engagement and Scaffolding within each lesson. Examples: *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-andleaf, bar graphsNote Taking, Modeling, Whole Class Response, Partnering, Higher Level Thinking Skills Guided Notes, Chunking, MATERIALS AND RESOURCES: INTERVENTIONS: Textbook Notebook Promethean Board/Projector Keystone resoursces 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 math lab, or find help with a math teacher . ASSIGNMENTS: p. 635-636 p. 641-642 p. 649-650 p. 655-656 p. 661-662 p. 667-669 Various Worksheets Build on prior Knowledge, Teacher Prompting, Visual Support Independence Practice: Check for understanding using practice pages and text as well as school/SAS developed activities. Summative/Formative Assessments: Quizzes as needed for understanding. Unit test is summative as well as cumulative for constant knowledge retention. Students will actively participate in class examples, discussion, class work, whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. Reflections: Check for understanding using do now, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. (Model, spiral scaffolding, instruct/reteach as needed) Teacher reflection