WOODLAND HILLS SECONDARY LESSON PLANS

advertisement
Name: John Toney
Date: 12-8-14
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Mathematics
Length of Lesson: 25 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Unit 12 : Probability and statistics
 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
Big Ideas:
KEYSTONE ANCHORS:
 2.6.8.B: Organize and display one-variable
data using appropriate data display, such as
stem-and-leaf and box-and-whisker plots,
and two variable data with scatterplots.
 2.6.11.A: Design and conduct an
experiment using random sampling.
 2.6.11.C: Select or calculate the
appropriate measure of central tendency,
calculate and apply the interquartile range
for one-variable data, and construct a line
of best fit and calculate its equation for
two-variable data.
 2.7.11.A: Use probability to predict the
likelihood of an outcome in an experiment.
 2.7.11.C: Compare odds and probability.
 2.7.11.E: Use probability to make
judgments about the likelihood of various
outcomes.
ELIBIBLE CONTENT:
 M8.E.3.1.1: Find the probability for a
mutually exclusive or an independent event
(written as a fraction in simplest form).
 M8.E.3.2: Determine the number of
combinations and/or permutations for an
event.
 M11.E.1.1.1 Create and/or use appropriate
graphical
 representations of data, including box-andwhisker plots, stem-and-leaf plots, scatter
plots, line/double line, bar/double bar and
circle graphs.
Understanding Goals (Concepts):
 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.
 Answer questions based on data displays
(box-and-whisker, stem-and-leaf, scatter
plots with lines of best fit, and bar
graphs).



Student Objectives (Competencies/Outcomes):
Students will be able to:
 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.
 Answer questions based on data displays
(box-and-whisker, stem-and-leaf, scatter
plots with lines of best fit, and bar 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.
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?
Vocabulary:
 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)
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Formative Assessments:
Students will demonstrate adequate understanding via a chapter test.
Pre-assessments, open-ended questions, Think-Pair-Share
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend math lab
Materials and Resources:
Textbook, notes
Tuesday
Date: 12/9
Day: A
“Do Now” Collins writing
assignment.
“Mini Lesson” Students will
fill in guided notes boxwhisker plots. They will
work on guided practice
problems in their notebooks
then begin independent
practice problems.
“Mini Lesson” Students will
continue to work on
problems on worksheets
dealing with central
tendencys, graphs and box
whisker plots. They will
work in groups and ask for
help as needed.
P-3 NB HW
Finish worksheets on central
tendencys, graphs and boxwhisker plots.

Assignments

Procedures
Instructional Procedures*:
Monday
Date: 12/8
Day: B
“Do Now” SAT practice
problem on line graphs.
Wednesday
Date: 12/10
Day: B
“Do Now” Box whisker plot
practice problem
“Mini Lesson” Students will
fill in guided notes on the
funadeamental counting
principle to count the
number of outcomes in an
evnet. They will work on
guided practice problems in
their notebooks then begin
independent practice
problems.
12-1 NB HW
Thursday
Date: 12/11
Day: A
“Do Now” Use counting
principal to count the
number of outcomes in an
event.
Friday
Date: 12/12
Day: B
“Do Now” Counting
principal practice problems
“Mini Lesson” Students will
fill in guided notes on
“Mini Lesson”Students will permutations and
continue to use the
combinations. They will
counting principal to
work on guided practice
calculate the number of
problems in their notebooks
outcomes in an event. They then begin independent
will check HW problems and practice problems.
begin indedpndent practice
problems from ws pg 701702.
Finish ws pg 701-702
12-2 NB HW
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Download