Stock Market Math: Absolute Value Equations and Risk Prediction
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we use absolute value equations to model stock price fluctuations and predict risk levels in the stock market?Essential Questions
Supporting questions that break down major concepts.- How can absolute value equations model stock price changes?
- How do you solve absolute value equations and inequalities?
- How can the solutions of absolute value equations and inequalities be represented graphically?
- How can the solutions to absolute value equations and inequalities be interpreted in the context of stock market risk?
- What factors influence stock price fluctuations?
- How can mathematical models be used to predict real-world phenomena?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Model stock price fluctuations using absolute value equations.
- Solve absolute value equations and inequalities related to stock market data.
- Graph solutions of absolute value equations and inequalities in the context of stock prices.
- Interpret solutions to assess and predict stock market risk.
- Analyze factors influencing stock price fluctuations.
- Apply mathematical models to predict real-world stock market trends.
Common Core Standards
Entry Events
Events that will be used to introduce the project to studentsViral Stock Shockwave
A local news clip reports dramatic swings in a fictional company's stock price due to a viral social media campaign. Students analyze the stock's historical data, represented as absolute value equations, to predict future volatility and advise potential investors.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Absolute Value Stock Modeler
Students will begin by understanding how absolute value can represent the range of stock price fluctuations around a certain average. This activity introduces the core concept of using absolute value to model uncertainty in stock prices.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA written explanation with examples of how absolute value equations can represent stock price fluctuations, including a sample equation modeling a hypothetical stock.Alignment
How this activity aligns with the learning objectives & standardsCovers A-REI.D.3 (Solve one-variable equations involving absolute value) and A-SSE.A.1 (Interpret expressions in context).Absolute Value Equation Solver
Students will learn to solve absolute value equations and inequalities to determine the range of possible stock prices. They will apply these skills to analyze different risk levels associated with various stocks.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA worksheet with solved absolute value equations and inequalities representing different stock price scenarios, including a risk assessment for each scenario based on the solution set.Alignment
How this activity aligns with the learning objectives & standardsCovers A-REI.D.3 (Solve one-variable inequalities involving absolute value).Visualizing Stock Volatility
Students will graphically represent the solutions of absolute value equations and inequalities on a number line. They will visualize the potential range of stock prices and understand the probability of different price points.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA series of number line graphs representing the solution sets of absolute value equations and inequalities related to stock prices, with a written analysis of what each graph indicates about the stock's potential price range and risk.Alignment
How this activity aligns with the learning objectives & standardsCovers A-REI.D.3 (Graph the solutions of equations and inequalities on the number line).Portfolio Risk Assessment Analyst
Students will combine their skills to create a comprehensive risk assessment report for a portfolio of stocks modeled by absolute value equations. They will solve the equations, graph the solutions, and interpret the results to advise a hypothetical investor.Steps
Here is some basic scaffolding to help students complete the activity.Final Product
What students will submit as the final product of the activityA detailed risk assessment report for a portfolio of stocks, including the solved absolute value equations/inequalities, number line graphs, and a written recommendation for a hypothetical investor based on the risk analysis.Alignment
How this activity aligns with the learning objectives & standardsCovers A-REI.D.3 (Solve one-variable equations and inequalities involving absolute value) and A-SSE.A.1 (Interpret expressions in context).Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioStock Market Simulation Rubric
Modeling and Explanation
This category assesses the student's ability to model stock price fluctuations using absolute value equations and explain their reasoning.Equation Modeling
Accuracy of the absolute value equation in modeling the stock's price fluctuation.
Exemplary
4 PointsThe equation accurately models the stock's price fluctuation, reflecting a sophisticated understanding of absolute value.
Proficient
3 PointsThe equation appropriately models the stock's price fluctuation, demonstrating a thorough understanding of absolute value.
Developing
2 PointsThe equation shows an emerging attempt to model the stock's price fluctuation, but may contain inaccuracies or inconsistencies.
Beginning
1 PointsThe equation shows a beginning understanding of absolute value and its potential to model stock price fluctuation, but is largely inaccurate or incomplete.
Explanation Clarity
Clarity and completeness of the written explanation of how absolute value equations represent stock price fluctuations.
Exemplary
4 PointsThe explanation is exceptionally clear, complete, and insightful, demonstrating a sophisticated understanding of the relationship between absolute value and stock prices.
Proficient
3 PointsThe explanation is clear, complete, and demonstrates a thorough understanding of the relationship between absolute value and stock prices.
Developing
2 PointsThe explanation is understandable but may lack detail or clarity in certain areas, indicating an emerging understanding.
Beginning
1 PointsThe explanation is difficult to understand, incomplete, or demonstrates a limited understanding of the relationship between absolute value and stock prices.
Solving and Risk Assessment
This category evaluates the student's ability to solve absolute value equations and inequalities and assess risk based on the solutions.Equation Solving
Accuracy in solving absolute value equations and inequalities related to stock price scenarios.
Exemplary
4 PointsSolutions are consistently accurate and demonstrate a sophisticated understanding of absolute value equations and inequalities.
Proficient
3 PointsSolutions are accurate and demonstrate a thorough understanding of absolute value equations and inequalities.
Developing
2 PointsSolutions show emerging accuracy but may contain some errors or inconsistencies.
Beginning
1 PointsSolutions are largely inaccurate and demonstrate a limited understanding of absolute value equations and inequalities.
Risk Assessment
Quality and justification of the risk assessment for each stock scenario based on the solution set.
Exemplary
4 PointsRisk assessments are insightful, well-justified, and demonstrate a sophisticated understanding of the implications of the solution sets.
Proficient
3 PointsRisk assessments are well-reasoned and demonstrate a thorough understanding of the implications of the solution sets.
Developing
2 PointsRisk assessments are basic but show an emerging understanding of the implications of the solution sets.
Beginning
1 PointsRisk assessments are minimal and demonstrate a limited understanding of the implications of the solution sets.
Visualization and Interpretation
This category assesses the student's ability to visualize solutions graphically and interpret the graphs in the context of stock prices and risk.Graph Accuracy
Accuracy and clarity of the number line graphs representing the solution sets.
Exemplary
4 PointsGraphs are exceptionally accurate, clear, and effectively communicate the solution sets and their implications.
Proficient
3 PointsGraphs are accurate, clear, and effectively communicate the solution sets.
Developing
2 PointsGraphs are understandable but may contain minor inaccuracies or lack clarity in some areas.
Beginning
1 PointsGraphs are difficult to understand, inaccurate, or fail to effectively communicate the solution sets.
Graph Analysis
Depth and insightfulness of the written analysis of what each graph indicates about the stock's potential price range and risk.
Exemplary
4 PointsAnalysis is exceptionally insightful, demonstrating a sophisticated understanding of the relationship between the graph and the stock's potential price range and risk.
Proficient
3 PointsAnalysis is thorough and demonstrates a clear understanding of the relationship between the graph and the stock's potential price range and risk.
Developing
2 PointsAnalysis is basic but shows an emerging understanding of the relationship between the graph and the stock's potential price range and risk.
Beginning
1 PointsAnalysis is minimal and demonstrates a limited understanding of the relationship between the graph and the stock's potential price range and risk.
Portfolio Analysis
This category evaluates the student's ability to apply their skills to a portfolio of stocks and provide investment recommendations based on a risk assessment.Portfolio Solutions
Accuracy in solving absolute value equations/inequalities for the selected portfolio of stocks.
Exemplary
4 PointsSolutions are consistently accurate and demonstrate a sophisticated understanding of absolute value equations and inequalities.
Proficient
3 PointsSolutions are accurate and demonstrate a thorough understanding of absolute value equations and inequalities.
Developing
2 PointsSolutions show emerging accuracy but may contain some errors or inconsistencies.
Beginning
1 PointsSolutions are largely inaccurate and demonstrate a limited understanding of absolute value equations and inequalities.
Risk Report Quality
Thoroughness and insightfulness of the risk assessment report, including the investment recommendations.
Exemplary
4 PointsRisk assessment report is exceptionally thorough, insightful, and provides well-supported investment recommendations based on a sophisticated analysis.
Proficient
3 PointsRisk assessment report is thorough and provides clear investment recommendations based on a well-reasoned analysis.
Developing
2 PointsRisk assessment report is adequate but may lack detail or justification in some areas of the analysis or recommendations.
Beginning
1 PointsRisk assessment report is incomplete, lacks justification, and provides minimal investment recommendations.
Portfolio Graphs
Accuracy and effectiveness of the number line graphs in representing the price ranges of the stocks in the portfolio.
Exemplary
4 PointsGraphs are exceptionally accurate, clear, and effectively communicate the price ranges and associated risks of the stocks in the portfolio.
Proficient
3 PointsGraphs are accurate, clear, and effectively communicate the price ranges of the stocks in the portfolio.
Developing
2 PointsGraphs are understandable but may contain minor inaccuracies or lack clarity in some areas.
Beginning
1 PointsGraphs are difficult to understand, inaccurate, or fail to effectively communicate the price ranges of the stocks in the portfolio.