Risky Business: Insurance Costs and Teen Drivers
Created byPushpa Ramalingam
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Risky Business: Insurance Costs and Teen Drivers

Grade 10Math3 days
5.0 (1 rating)
In this project, students explore the complexities of insurance premiums, particularly for young drivers, by examining risk factors, calculating premiums using a simplified model, and debating the fairness of insurance rates. They begin by brainstorming factors influencing driving risk and then use these factors to calculate premiums for different drivers. The project culminates in a debate on the fairness of higher premiums for young drivers, using mathematical reasoning, statistical data, and ethical considerations to support their arguments. Students reflect on their understanding of risk and insurance premiums, considering different perspectives and data.
Insurance PremiumsRisk FactorsPremium CalculationFairness DebateTeen DriversMathematical Reasoning
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we use math to determine the fairness of insurance premiums, especially for young drivers?

Essential Questions

Supporting questions that break down major concepts.
  • How do insurers calculate risk?
  • What factors contribute to higher insurance premiums for young drivers?
  • How does probability influence insurance costs?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Understand the factors that contribute to insurance premiums.
  • Learn how insurers calculate risk and use financial tools to determine insurance costs.
  • Apply mathematical concepts to assess the fairness of insurance premiums, especially for young drivers.

Entry Events

Events that will be used to introduce the project to students

The Risky Driver Dilemma

Students watch a compilation of real-life dashcam footage showcasing various driving scenarios, from near-misses to accidents. They then discuss: What factors seem to increase the risk of an accident? How do you think insurance companies use this information to determine premiums?
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Portfolio Activities

Portfolio Activities

These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.
Activity 1

Risk Factor Brainstorm

Students brainstorm and categorize factors that influence driving risk and insurance premiums.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Begin with a class brainstorming session to identify factors that could affect driving risk (e.g., age, driving record, type of car, location, etc.).
2. Divide students into small groups, assigning each group a category (e.g., driver characteristics, vehicle type, environmental factors).
3. Each group researches and lists specific factors within their category that influence insurance premiums.

Final Product

What students will submit as the final product of the activityA detailed list of risk factors, categorized and justified with brief explanations.

Alignment

How this activity aligns with the learning objectives & standardsAddresses the learning goal: Understand the factors that contribute to insurance premiums.
Activity 2

Premium Calculation Simulation

Students use a simplified model to calculate insurance premiums based on various risk factors.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Introduce a simplified insurance premium calculation model (e.g., base rate + adjustments for risk factors).
2. Provide sample data for different drivers, including age, driving record, vehicle type, and location.
3. Students calculate the insurance premium for each driver using the provided model, adjusting rates based on risk factors.

Final Product

What students will submit as the final product of the activityCalculated insurance premiums for a set of sample drivers, with a rationale for each calculation.

Alignment

How this activity aligns with the learning objectives & standardsAddresses the learning goal: Learn how insurers calculate risk and use financial tools to determine insurance costs.
Activity 3

Fairness Debate: Young Driver Premiums

Students analyze and debate the fairness of insurance premiums for young drivers, using mathematical reasoning and evidence.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Present data on accident rates and insurance premiums for young drivers compared to older drivers.
2. Divide students into two groups: one arguing for the fairness of higher premiums for young drivers and the other arguing against it.
3. Each group prepares arguments based on mathematical reasoning, statistical data, and ethical considerations.
4. Conduct a structured debate, with each side presenting their arguments and rebutting the opposing side.

Final Product

What students will submit as the final product of the activityA well-researched argument (for or against) the fairness of young driver premiums, supported by mathematical data and ethical considerations.

Alignment

How this activity aligns with the learning objectives & standardsAddresses the learning goal: Apply mathematical concepts to assess the fairness of insurance premiums, especially for young drivers.
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Insurance Premium Analysis Portfolio Rubric

Category 1

Risk Factor Identification

Demonstrates the ability to identify, categorize, and explain factors influencing insurance premiums.
Criterion 1

Comprehensiveness of Factors

Identifies a wide range of relevant risk factors, categorized effectively.

Exemplary
4 Points

Identifies an extensive range of relevant risk factors, categorized logically and comprehensively, demonstrating deep understanding.

Proficient
3 Points

Identifies a sufficient range of relevant risk factors, categorized logically.

Developing
2 Points

Identifies some relevant risk factors, but categorization may be incomplete or illogical.

Beginning
1 Points

Identifies few relevant risk factors with little or no categorization.

Criterion 2

Justification of Factors

Provides clear and logical justifications for how each factor influences insurance premiums.

Exemplary
4 Points

Provides exceptionally clear, insightful, and well-supported justifications for each risk factor's influence on premiums.

Proficient
3 Points

Provides clear and logical justifications for each risk factor's influence on premiums.

Developing
2 Points

Provides justifications for some risk factors, but explanations may be unclear or lack support.

Beginning
1 Points

Provides minimal or unclear justifications for risk factors.

Category 2

Premium Calculation and Application

Demonstrates the ability to calculate insurance premiums using a simplified model and apply risk adjustments.
Criterion 1

Accuracy of Calculations

Calculates insurance premiums accurately, applying risk adjustments correctly.

Exemplary
4 Points

Calculations are entirely accurate and demonstrate a sophisticated understanding of risk adjustments.

Proficient
3 Points

Calculations are accurate, with correct application of risk adjustments.

Developing
2 Points

Calculations contain some errors, or risk adjustments are applied inconsistently.

Beginning
1 Points

Calculations contain significant errors and show a limited understanding of risk adjustments.

Criterion 2

Rationale for Calculations

Provides a clear and logical rationale for each calculation, explaining the impact of different risk factors.

Exemplary
4 Points

Provides an exceptionally clear and insightful rationale, demonstrating a deep understanding of the impact of various risk factors.

Proficient
3 Points

Provides a clear and logical rationale for each calculation, explaining the impact of different risk factors.

Developing
2 Points

Provides a rationale for some calculations, but explanations may be unclear or incomplete.

Beginning
1 Points

Provides minimal or unclear rationale for calculations.

Category 3

Fairness Debate and Argumentation

Demonstrates the ability to analyze and debate the fairness of insurance premiums for young drivers, using mathematical reasoning and evidence.
Criterion 1

Strength of Argument

Constructs a well-reasoned and persuasive argument, supported by mathematical data and ethical considerations.

Exemplary
4 Points

Constructs an exceptionally well-reasoned and persuasive argument, demonstrating sophisticated integration of mathematical data and ethical considerations.

Proficient
3 Points

Constructs a well-reasoned and persuasive argument, supported by mathematical data and ethical considerations.

Developing
2 Points

Constructs an argument, but reasoning may be incomplete or lack sufficient support.

Beginning
1 Points

Presents a weak argument with minimal reasoning or support.

Criterion 2

Use of Evidence

Effectively uses mathematical data and ethical considerations to support the argument.

Exemplary
4 Points

Uses mathematical data and ethical considerations exceptionally effectively, demonstrating a deep understanding of their relevance to the argument.

Proficient
3 Points

Effectively uses mathematical data and ethical considerations to support the argument.

Developing
2 Points

Uses some mathematical data or ethical considerations, but connection to the argument may be weak.

Beginning
1 Points

Uses minimal or irrelevant data or considerations.

Criterion 3

Rebuttal and Counterarguments

Addresses and effectively rebuts opposing arguments.

Exemplary
4 Points

Demonstrates a comprehensive understanding of opposing arguments and provides exceptionally effective rebuttals.

Proficient
3 Points

Addresses and effectively rebuts opposing arguments.

Developing
2 Points

Acknowledges opposing arguments, but rebuttals may be weak or incomplete.

Beginning
1 Points

Fails to address or rebut opposing arguments.

Reflection Prompts

End-of-project reflection questions to get students to think about their learning
Question 1

How has your understanding of risk and insurance premiums changed during this project?

Text
Required
Question 2

To what extent do you agree with the statement 'Insurance premiums fairly reflect risk'?

Scale
Required
Question 3

Which activity (Risk Factor Brainstorm, Premium Calculation Simulation, Fairness Debate) was most effective in helping you understand the complexities of insurance premiums?

Multiple choice
Required
Options
Risk Factor Brainstorm
Premium Calculation Simulation
Fairness Debate