Mr. Mariani 10/1 – 10/5/2012 AP Statistics WOODLAND HILLS HIGH SCHOOL LESSON PLANS Length of Lesson: 14 days STAGE I – DESIRED RESULTS Lesson Topic: Big Ideas: Understanding Goals (Concepts): Chapter 3: Examining Relationships (Bivariate, quantitative data) M11.E.1.1.1 Create and/or use appropriate graphical representations of data, including boxand-whisker plots, stem-and-leaf plots or scatter plots. M11.E.1.1.2 Analyze data and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots or scatter plots). 1. Describe a bivariate data set verbally, using a display (scatterplot) and describe the correlation of the data. 2. Collect, display, describe and perform calculations with bivariate data. 3. Perform least squares regression analysis to model data and to perform interpolation/extrapolation with the data M11.D.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. Student Objectives (Competencies/Outcomes): Students will be able to: Identify and describe bivariate data distributions Create appropriate displays by hand and with graphing calculators Interpret the form, strength and direction of an association Calculate the correlation between bivariate data Create mathematical models (LSRL) for bivariate data and use such models to make interpolated/extrapolated predictions Performance Task: Essential Questions: Vocabulary: 1. What are bivariate data? 2. What defines the strength, direction and form of an association? 3. What does correlation describe? 4. How is a mathematical model (LSRL) for bivariate data created? 5. How are predictions (inter/extrapolations) made using an LSRL? Bivariate data, scatterplot, association, correlation, outlier (for bivariate data) STAGE II – ASSESSMENT EVIDENCE Other Evidence: Class discussion, classwork/homework assignments and formal assessments. Individual discussions with students and during tutoring after class as needed. STAGE III – LEARNING PLAN Interventions: Materials and Resources: Individual/group tutoring in 222 during 3rd period as well as after school as needed. Practice of Statistics textbook, graphing calculator, notebook, pencil Instructional Procedures: Monday Assignments Procedures 10/1 Day 24 Intro bivariate data (explanatory/response variables), relate to x/y and ind./dep. variables Collect SAT score pairs (math, verbal) for activity 3.1 by gender Activity 3.1 Math = x, Verbal =y Exercises #3.5, 3.7 – 3.9 Tuesday 10/2 Day 25 Review exp/resp Intro labeled scatterplots with TI-83 Discuss strength, form, direction of an association 3.1 Worksheet #3.10 – 3.13 Wednesday 10/3 Day 26 Review scatterplots by hand and with graphing calculators Answer student questions as needed Review activity #3.14 – 3.16 Thursday 10/4 Day 27 Friday 10/5 Day 28 Review association (strength, direction) and form Give 3.1 QUIZ Collect as students finish Discuss the relationship between strength and direction of an association to rvalues Also, desribe the role of each part of the correlation formula and discuss how changes in one value affect the whole QUIZ 3.1 Read & Outline 3.2 3.2 worksheet Exercises #3.18 (skip last part), 3.20 – 3.22, 3.24, 3.30