Bivariate, quantitative data - Woodland Hills School District

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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
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