Mr. Mariani
Probability & Statistics
WOODLAND HILLS HIGH SCHOOL
LESSON PLANS
4/27 – 5/1/2015
Length of Lesson: 10 days
STAGE I – DESIRED RESULTS
Lesson Topic (Standards/Anchors):
Big Ideas:
Understanding Goals (Concepts):
M11.E.1.1.1
Create and/or use appropriate graphical
representations of data, including box-andwhisker plots, stem-and-leaf plots or scatter
plots.
M11.D.2.1.2
Identify or graph functions, linear equations or
linear inequalities on a coordinate plane.
Topic 15:
Normal Distributions & Normal
Probability
Students will continue to explore
probability, specifically within the
confines of normally distributed data
sets. They will calculate and interpret
standardized scores and their associated
probabilities (less than, greater than and
between calculations). They will
distinguish between samples and
populations, statistics and parameters &
use notation appropriately in all cases.
Student Objectives
(Competencies/Outcomes):
Essential Questions:
Vocabulary:
Students will be able to:




z-score, normal distribution, normal
probability, mean, standard deviation,
proportion
1. Construct normal probability sketches to
model normally distributed data
2. Calculate standardized scores for given
values within a normal distribution
3. Lookup z-scores and interpret them as
normal probabilities
4. Apply and interpret probability
calculations in real settings
Performance Task:
What is probability?
What are the values that z-scores can take on?
How do z-scores translate into normal probabilities?
How is a normal probability calculated (less than, greater than,
between)?
 How does a sample differ from a population?
 What information does the Central Limit Theorem apply to for a
sample distribution?
STAGE II – ASSESSMENT EVIDENCE
Other Evidence:
Class discussion and completion of in-class assignments, use extra class time to
complete homework activities and ask questions as needed to grasp “Big Ideas” daily.
Students will complete all assigned activities by the test date. Also, students will undergo
informal questioning for understanding daily throughout the course.
STAGE III – LEARNING PLAN
Interventions:
Materials and Resources:
Workshop Statistics textbook, folder/binder, graphing calculator, pencil
Room 222 as needed, or after school tutoring (Math Lab)
Instructional Procedures:
Monday
Assignments
Procedures
4/27
1.
2.
3.
4.
5.
Day 152
Tuesday
4/28
Day 153
Wednesday
4/29
Day 154
Thursday
4/30
Day 155
Construct normal distributions (properly labeled/numbered) to represent normally distributed data sets.
Apply standardized scores to normal distributions of data.
Calculate normal probabilities from standardized scores.
Interpret the meaning of normal probabilities to various settings (less than, greater than, between)
Interpret the meaning of z-scores (positive, negative, 0)
Normal Distributions properties, calculations and sketches
Assigned Activities:
15-1 through 15-15
TEST – Monday 5/4
Friday
5/1
Day 156