Cost of the World Cup
Created byMatthew Bartle
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Cost of the World Cup

Grade 7Math1 days
5.0 (1 rating)
The 'Cost of the World Cup' project for 7th grade students uses algebraic models and graphs to explore supply and demand in economic systems. Through interactive entry events like an 'Economics Escape Room,' students develop understanding of market dynamics by constructing and analyzing linear equations and graphs. The project aligns with Common Core Standards, focusing on solving systems of equations and modeling linear relationships. Activities culminate in students creating and interpreting their graphs to solve market mysteries, thus enhancing their critical thinking and mathematical communication skills.
Algebraic ModelsSupply and DemandMarket EquilibriumGraphingEconomicsSystems of Equations
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Inquiry Framework

Question Framework

Driving Question

The overarching question that guides the entire project.How can we use algebraic models and graphs to understand and predict changes in market supply and demand, and what real-world factors contribute to shifts in these economic curves?

Essential Questions

Supporting questions that break down major concepts.
  • What is the relationship between supply and demand in a market?
  • How can algebraic models be used to represent real-world economic systems?
  • In what ways do supply and demand curves influence market equilibrium?
  • How can we use graphs to estimate solutions to systems of equations?
  • What factors can cause shifts in the supply and demand curves?

Standards & Learning Goals

Learning Goals

By the end of this project, students will be able to:
  • Understand and explain the relationship between supply and demand in a market system.
  • Develop and apply algebraic models to represent supply and demand curves.
  • Use systems of linear equations to find market equilibrium points.
  • Graphically estimate solutions to systems of equations related to supply and demand.
  • Analyze real-world factors that cause shifts in supply and demand curves.

Common Core Standards

8.EE.8b
Primary
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing. Solve simple cases by inspection.Reason: The project involves using algebraic models to estimate supply-demand curves, which directly relates to solving systems of equations.
8.F.4
Primary
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph.Reason: Modeling linear relationships is key to constructing supply and demand curves and understanding their behavior.
8.SP.1
Secondary
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities.Reason: Constructing and interpreting scatter plots supports understanding of dependencies between variables which is fundamental in economic modeling.
8.SP.2
Supporting
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line and informally assess the model fit by judging the closeness of the data points to the line.Reason: This supports students' ability to graph supply and demand curves, fitting straight lines that represent these relationships.

Entry Events

Events that will be used to introduce the project to students

Economics Escape Room

Convert the classroom into an escape room where each puzzle depends on understanding supply-demand curves and solving algebraic equations. Students must solve these puzzles to 'escape,' fostering collaborative, critical thinking as they work through realistic economic scenarios.

The Pop-Up Shop Mystery

Students arrive to find the classroom transformed into a bustling pop-up market, complete with 'vendors' selling a variety of goods. Their task is to figure out why some goods are selling rapidly and others aren’t, using clues related to supply and demand principles hidden within each vendor booth.
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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

Graphing Gurus: Visualizing Economics

Students will take the equations they constructed and graph them to visualize how supply and demand curves intersect and form market equilibrium. This activity enhances their understanding through a graphical approach.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Review how to plot linear equations on a graph, emphasizing the slope and intercept.
2. Have students graph the supply and demand equations they created in the previous activity.
3. Discuss the intersection point of the supply and demand curves and how it represents market equilibrium.
4. Introduce scenarios where supply and demand might shift, leading students to modify their graphs accordingly.

Final Product

What students will submit as the final product of the activityGraph plots showing supply and demand curves and equilibrium points for various products.

Alignment

How this activity aligns with the learning objectives & standardsCovers 8.EE.8b (Estimating solutions by graphing) and 8.SP.1 (Constructing scatter plots).
Activity 2

Economic Detectives: Solving Market Mysteries

In this activity, students act as detectives to solve market mysteries by analyzing shifts in supply and demand using their graphing skills.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Present students with case studies involving shifts in market conditions, such as sudden demand spikes or supply shortages.
2. Students apply their knowledge to adjust supply and demand graphs based on these new conditions.
3. Guide students to analyze the cause of these shifts through an investigation of potential economic factors.
4. Ask students to present their findings, explaining the reasons and outcomes of the shifts.

Final Product

What students will submit as the final product of the activityAn investigative report detailing how real-world factors caused shifts in supply and demand curves and the resulting effects on market equilibrium.

Alignment

How this activity aligns with the learning objectives & standardsSupports 8.SP.2 (Fitting straight lines to model relationships) and aligns with the standard's focus on real-world applications of algebraic models.
Activity 3

Supply and Demand Equation Explorers

In this introductory activity, students will dive into the basics of supply and demand by constructing simple linear equations. This foundational skill will set the stage for creating more complex algebraic models.

Steps

Here is some basic scaffolding to help students complete the activity.
1. Begin with a class discussion on the concepts of supply and demand and how they are represented by mathematical equations.
2. Introduce simple linear equations and identify their components, such as slope and intercept.
3. Have students select different products and create supply and demand equations based on assumed data.
4. Discuss how these equations represent supply and demand curves on a graph.

Final Product

What students will submit as the final product of the activityA set of linear equations representing supply and demand curves for selected products.

Alignment

How this activity aligns with the learning objectives & standardsAligns with 8.EE.8b (Solve systems of linear equations) and 8.F.4 (Model linear relationships).
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Rubric & Reflection

Portfolio Rubric

Grading criteria for assessing the overall project portfolio

Market Economics Algebra Project

Category 1

Mathematical Understanding

Evaluates the student's grasp of algebraic principles in creating and solving systems of equations related to supply and demand.
Criterion 1

Equation Construction

Ability to construct linear equations to model supply and demand scenarios accurately.

Exemplary
4 Points

Equations are constructed accurately with appropriate slope and intercept for diverse scenarios. Sophisticated manipulation of variables to reflect real-world applications.

Proficient
3 Points

Equations are constructed correctly, showing a clear understanding of slope and intercept. Effective application to most real-world scenarios.

Developing
2 Points

Some equations are not accurately constructed, with occasional errors in slope or intercept identification. Limited application to scenarios.

Beginning
1 Points

Equations are poorly constructed with frequent errors. Struggles to apply basic principles to model scenarios.

Criterion 2

Graph Interpretation

Ability to accurately graph equations and identify key features such as intersection points, slopes, and intercepts.

Exemplary
4 Points

Graphs are precise and consistently accurate, correctly highlighting key features and alterations for various scenarios. Reflects leadership in graph interpretation.

Proficient
3 Points

Graphs are accurate and correctly highlight most key features, with minimal errors.

Developing
2 Points

Graphs show some correct features but include errors in points, slopes, or interpretations. Requires guidance.

Beginning
1 Points

Graphs have frequent inaccuracies and fail to correctly illustrate key features or intersection points.

Category 2

Critical Thinking in Economic Modeling

Assesses the ability to analyze and respond to shifts in supply and demand due to external factors using algebraic and graphical models.
Criterion 1

Scenario Analysis

Skill in adapting models to represent changes in market conditions and explaining the reasoning behind these adaptations.

Exemplary
4 Points

Adapts models effectively to reflect shifts, offering thorough explanations of economic impacts with strong evidence and innovative thinking.

Proficient
3 Points

Consistently adjusts models to reflect changes in market conditions with clear explanations and reasoning.

Developing
2 Points

Struggles to adjust models for some scenarios; explanations lack depth and clarity.

Beginning
1 Points

Fails to adequately adapt models; offers limited or incorrect explanations for shifts.

Criterion 2

Evidence of Research

Capability to investigate and integrate real-world data to support mathematical models.

Exemplary
4 Points

Integrates thorough research and data, providing comprehensive evidence to support models and analyses. Shows advanced information synthesis.

Proficient
3 Points

Uses adequate research to support models, showing clear connections to data.

Developing
2 Points

Includes some research, but connections to models are weak or inconsistent.

Beginning
1 Points

Research is minimal or unrelated; fails to substantiate models.

Category 3

Communication of Concepts

Evaluates effectiveness in communicating mathematical and economic concepts through presentations and reports.
Criterion 1

Clarity of Presentation

Quality and clarity in presenting mathematical models and their economic implications.

Exemplary
4 Points

Presents ideas with exceptional clarity and structure. Demonstrates leadership in communication through detailed analyses and high engagement.

Proficient
3 Points

Presents ideas clearly, with logical structure and effective engagement.

Developing
2 Points

Displays partial engagement with ideas, and some lack of clarity in communication.

Beginning
1 Points

Presentation lacks coherence, clarity, and fails to effectively communicate key points.

Reflection Prompts

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

Reflect on how you used algebraic models and graphs to understand market supply and demand during the project.

Text
Required
Question 2

How confident do you feel about using graphs to estimate solutions to systems of equations?

Scale
Required
Question 3

Which factors causing shifts in supply and demand curves were most surprising to you during your investigations?

Multiple choice
Required
Options
Consumer preferences
Technological changes
Government policies
Natural events
Question 4

What do you see as the most valuable skill you gained from the Market Economics Project?

Text
Optional