UNIT 16 Cumulative Frequency Lesson Plans These are based on 45/50 minute lessons Lesson No Suggested Plan References 1 Averages Revise concepts
This film demonstrates the use of a cumulative frequency curve to calculate the median and quintiles (20 divisions) of grouped data
Lesson Plan Cumulative Frequency Learn how to calculate cumulative frequency Plot cumulative frequency graphs and extrapolate box and whisker
12 sept 2015 · Present data from a frequency distribution in a histogram or frequency polygon • Construct and interpret a cumulative frequency distribution
Topic: Cumulative Frequency Lesson 1: Interpreting a cumulative frequency graph [SLS Learning package] - Watch a video and answer online questions
Step 4 Find the cumulative frequencies A cumulative frequency (cf) column can be added to the distribution by adding the frequency in each class to the total
Backwards-design Lesson Plan Template (AP Stats) Week #4 Construct and compare displays including dot plot, stem plot, histogram, cumulative frequency
A Semi-Detailed Lesson Plan in Teaching Percentiles for Grouped Data cumulative frequency of the class before the class
69467_3LessonPlanAPStatsweek4.pdf Backwards-design Lesson Plan Template (AP Stats) Week #4
Stage 1 Desired Results
Content Standard(s):
AP Approved College Board Syllabus
Exploring Univariate Data Chapter 1
Understanding (s)/goals
Data comes in a variety of types and situations. Data can be interpreted in a many different ways. Data is only useful in the way it is explained. Data is explained with summary statistics and 5 number summaries. Data and its displays are the foundation for all statistical interpretation and analysis
Essential Question(s):
What are the steps in constructing a
Histogram?
What does a Histogram tell us? What is an Ogive and what is it used for? What does it mean to CUSS & BS? How is Median, Mean and Mode affected by outliers and skewed data? What is Data? What is Standard Deviation and what does it tell us? If we change the units in the data, how does it affect the summary statistiscs?
Student objectives (outcomes):
The student will
Identify types of data and associated graphs Construct and compare displays including dot plot, stem plot, histogram, cumulative frequency plot, bar graph, pie graph, time plot, and boxplot (By hand and using graphing calculator capabilities) Interpret and/or graphical displays including shape, center, spread, clusters and gaps, outliers, and unusual features using the graphing calculator. Be able to interpret graphs using appropriate language Summarize distributions using appropriate measures for center, shape, and spread Calculate and interpret standard deviation as a measure of spread using TI-83 and interpreting the results using correct vocabulary Evaluate the effect of changing units of measure on summary statistics
Stage 2 ² Assessment Evidence
Performance Task(s):
Creating Histograms without technology Quiz Project: Fast Food Comparisons of nutritional Values using data analysis with graphs Test Chapter 1 Homework checks
Other Evidence:
Teacher observations Students responses to questions Student inquiry Class discussion
Stage 3 ² Learning Plan
DIFFERENTIATION (I-3)
How will I scaffold and/or accelerate learning? For whom? How will I group my students?
SCAFFOLD: This topic is new and will be used continuously thoughout the semester as it is integrated into other deeper topics and
extensions.
ACCELERATE: Students which show understanding through questioning can move forward with lesson as other students are getting
retaught during discussions.
GROUPS: Students are groups by class level and ability; Sophomores, Juniors, and Seniors, those that are moving forward with lesson and
those that need re-teaching.
Learning Activities:
Power points, activities, guide notes, and textbook Graph paper, rulers, data set, graphing calculator
Monday: Sept 15
Describing
Distributions
Histograms
HW: Complete
Histograms
Tuesday: 8
Describing
Distributions
Histograms (Day 2)
HW: In-class WS
Quiz Review
Wednesday /Thursday:: 9/10
Ogives
HW: WS
Quiz #1
HW: Find a Data Set and make a
Histogram
Friday: 11
Measures of Center
IQR and Boxplots
HW: WS