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Insurance Actuary -- Expected Value - 21st Century Math Project

Rated 4.91 out of 5, based on 37 reviews
4.9 (37 ratings)
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Clark Creative Math
17.4k Followers
Grade Levels
8th - 12th, Homeschool
Resource Type
Standards
Formats Included
  • Zip
  • Google Apps™
Pages
28 pages
$6.00
$6.00
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Clark Creative Math
17.4k Followers
Includes Google Apps™
The Teacher-Author indicated this resource includes assets from Google Workspace (e.g. docs, slides, etc.).

What educators are saying

This was great for helping students to think about insurance and it was very useful for them to compare and contrast plans and what impacts rates of insurance
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Learning Objective

Students will practice expected value in the authentic context of insurance. Students take a deep dive into a variety of types of insurance and aim to answer the question, “How do insurance companies determine rates for customers?”

Description

Insurance actuaries work hard to analyze risk and make premium recommendations for customers. There is a careful balance between finding an appropriate value based on the risk and creating profit for the insurance company. In this 21st Century Math Project, students where different hats as an actuary to understand insurance!

This product includes 4 prep assignments that challenge students in expected value and insurance to build their skills and their thinking for the final project.

In this 28 page document you will be given a mapping to the Content Standards, an outline for how to implement the project, 4 prep assignments and one project packet. ***THIS PRODUCT HAS BEEN UPDATED WITH A GOOGLE SLIDES INTERACTIVE VERSION INCLUDED. REDOWNLOAD IF YOU HAVE IT ALREADY***

Download the preview to see it all.

-- In “Hazard Insurance” students will calculate the expected value of Hazard Insurance.

-- In “Life Insurance” students will calculate expected value of Life Insurance and use the information to project profits for an insurance company.

-- In “Auto Insurance” students will calculate expected value of insurance claims and the costs of those claims to determine premiums for customers.

-- In “Health Insurance” students will calculate expected value of life insurance to help people decide between high deductible plans and low deductible plans.

-- In “Insurance Actuary” students will use actuarial tables to find values relative to each case. There are 16 different “people cards” that can be cut and laminated. I’d recommend two sets of the cards for larger classes. Students will consider one person at a time and will analyze their needs, consider the tables, use formulas with required profits and calculated expected values to determine insurance premiums. Hurray!

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Correlations & Advanced Stats

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21st Century Algebra 2 / Pre-Calculus –- the Entire Curriculum

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Total Pages
28 pages
Answer Key
Included
Teaching Duration
1 Week
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Standards

to see state-specific standards (only available in the US).
Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.
Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.
Evaluate and compare strategies on the basis of expected values. For example, compare a high-deductible versus a low-deductible automobile insurance policy using various, but reasonable, chances of having a minor or a major accident.

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