9th-12th Grade Statistics and Probablility Refresher

Course: 9-12 Probability and Statistics Refresher (Common Core State Standards)

Description:
In order to successfully implement the Common Core State Standards in Mathematics, high school teachers will need to teach a considerable amount of probability and statistical concepts. This course is designed to serve as a refresher of those concepts as well as an exploration of techniques to teach these concepts.

Cost: $250.00 registration for the course, if you would like to take it for credit the cost is an additional $330.00 ($580.00 for class and credit)

Course Objectives:
Participants will:
Become familiar with the content of the Common Core State Mathematics Standards
Understand the concepts of Statistics and Probability required to implement the standards
Develop methods for teaching the Statistics and Probability concepts in the high school
Develop learning activities for their classrooms

Outline of Content:
Interpreting Categorical and Quantitative Data
Summarize, represent and interpret data in a single variable
• Plots, histograms and box plots
• Compare measures of central tendency (mean, median)
• Compare measures of variability (standard deviation, interquartile range)
• Fit data into normal distributions
• Estimate areas under a normal curve with and without technology
Summarize, represent and interpret data in two variables
• Two-way frequency tables (joint, marginal and conditional relative frequencies)
• Scatter plots (fit a linear function to data)
Interpret linear models
• Interpret linear functions as it relates to data
• Compute and interpret correlation coefficients
• Distinguish between correlation and causation
Making Inferences and Justifying Conclusions
Understand and evaluate random processes underlying statistical experiments
• Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
• Decide if a specified model produces results that are in line with actual observed data.
Make inferences and justify conclusions from surveys, experiments and observations
• Recognize when and where sample surveys, experiments and observational studies are most appropriate, and what role randomization plays in each.
• Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.
• Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
• Evaluate reports based on data.

Conditional Probability and the Rules of Probability
Understand independence and conditional probability and interpret data
• Describe events as subsets of a sample space using characteristics of the outcomes, or as unions, intersections, or complements of other events (“or”, “and”, “not”)
Use rules of probability to compute probabilities of compound events
• Find conditional probabilities
• Apply the addition rule of compound events
Techniques for teaching these concepts will also be discussed and practiced.
Applications and activities to promote student learning will also be discussed and practiced.

Methodology:
Lecture
Demonstration
Group work
Hands-on activities
Discussion

Assignments and Requirements:
Attendance at all sessions
Participation in discussions and class activities
Choose at least one:
Develop lesson plans for 2 of the Common Core Standards for your grade level
Develop a performance task and accompanying rubric for a set of standards at your grade level
Write an action plan for implementation of the common core standards for your grade level or district

Evaluation:
Daily participation self-evaluation rubric
Lesson Plan rubric, Performance Task rubric or Action Plan rubric
(located at the end of this document)

Texts and Readings:
Common Core State Standards, Common Core State Standards Initiative

“Warning: Correlation ≠ Causation”, Stats Modeling the World 3rd Edition, Bock, David E., p. 157-158

“Mathematical Connections: A Study of Effective Calculator Use in Secondary Mathematics Classrooms”, Jeff Clark, 2011

“Community Based Mathematics Project: Conceptualizing Access through Locally Relevant Mathematics Curricula”, Caroline Ebby, et al., Perspectives on Urban Education, Spring 2011

 

Wisconsin Teaching Standards Addressed:

1. The teacher understands the central concepts, tools of inquiry and ways of knowing
that are central to the discipline(s) s/he teaches.

4. The teacher understands and uses a variety of instructional strategies, including the
use of technology, to encourage children’s development of critical thinking, problem
solving and performance skills.

7. The teacher organizes and plans systematic instruction based upon knowledge of
subject matter, pupils, the community and curriculum goals.

 

 

CANCELLATION POLICY: Any registration cancellation must be received 7 days prior to the scheduled date to receive a refund or avoid invoicing. CESA 8 will only provide full refund of registration fees depending on individual circumstances. Refunds depend upon the ability of CESA 8 to cancel any financial obligations created by the registration such as meals, materials, etc. Registered participants not in attendance on the day of the session will be charged the full registration fee. CESA 8 reserves the right to cancel any session due to insufficient enrollment or inclement weather. Participants will be notified via email through myQuickReg.com if a cancellation occurs. Please make sure all of your contact information is correct in myQuickReg.com. DIETARY ACCOMMODATIONS: Due to varied dietary restrictions, CESA 8 cannot guarantee that all special dietary accommodations can be met. CESA 8 makes every effort to accommodate basic dietary restrictions with advance notice, but please plan accordingly. BY REGISTERING FOR THIS EVENT YOU CONSENT TO PHOTOGRAPHS/VIDEOTAPE taken during the course for publicity, promotional, and/or educational purposes including but not limited to publications, presentations, newsletters, internet, and social media sources. I do this with full knowledge and consent to waive all claims for compensation for the use or for damages. If you do not consent to this statement, please send a written notice via email to the agency contact listed on the workshop posting.