The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The modules also introduce students to real world math concepts and problems that property and casualty actuaries come across in their work. They are designed to be used by teachers and students of AP courses (primarily AB and BC Calculus) after the AP exam, but of course they can be used at any time. Statistical thinking is critical in today's society. Data are everywhere and students will see and recognize misinterpretations all the time. "Probability & Statistics: Modular Learning Exercises" cover: (1) Basic Statistics Concepts; (2) The Normal Model; (3) Discrete Probability Distributions; and (4) Correlation and Regression.
- Assessments and Surveys
- Advanced Placement Examinations (CEEB)
- Authorizing Institution
- Actuarial Foundation
- Education Level
- ['Elementary Secondary Education', 'High Schools', 'Secondary Education']
- Peer Reviewed
- F
- Publication Type
- Guides - Classroom - Teacher
- Published in
- United States of America
Table of Contents
- Think like an Actuary Produce real world data from storm statistics. 1
- INTRO 3
- Teacher Introduction - Background Information 3
- Purpose 3
- Project Description 3
- The Modules 3
- INTRO 4
- MODULE 1 5
- Module 1 Basic Statistics Concepts 5
- Content Learning Objectives 5
- Contextual Learning Objectives 5
- Common Core State Standards for Mathematics 5
- MODULE 1 5
- MODULE 1 6
- Materials Needed 6
- Timing 6
- Defi nitions 6
- MODULE 1 7
- Framing the Scenario 7
- Teaching Tips 7
- Discussion Questions 7
- MODULE 1 8
- MODULE 1 9
- MODULE 2 10
- Module 2 The Normal Model 10
- Content Learning Objectives 10
- Contextual Learning Objectives 10
- Common Core State Standards for Mathematics 10
- MODULE 2 11
- Materials Needed 11
- Timing 11
- Defi nitions 11
- Discussion Questions 11
- MODULE 2 12
- MODULE 2 13
- MODULE 2 14
- MODULE 3 15
- Module 3 Discrete Probability Distributions 15
- Content Learning Objectives 15
- Contextual Learning Objectives 15
- Common Core State Standards for Mathematics 15
- MODULE 3 16
- Materials Needed 16
- Timing 16
- Defi nitions 16
- Discussion Questions 16
- MODULE 3 17
- MODULE 3 18
- MODULE 3 19
- MODULE 3 20
- MODULE 4 21
- Module 4 Correlation and Regression 21
- Content Learning Objectives 21
- Contextual Learning Objectives 21
- Common Core State Standards for Mathematics 21
- MODULE 4 22
- Materials Needed 22
- Timing 22
- Defi nitions 22
- MODULE 4 23
- Discussion Question 23
- MODULE 4 24
- MODULE 4 25
- MODULE 4 26
