Amusement Park Expression Design
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we design an efficient and profitable amusement park, using algebraic expressions to model costs, profits, and optimize ride design?Essential Questions
Supporting questions that break down major concepts.- How can expressions be used to represent real-world scenarios, like costs and profits in an amusement park?
- How do you write an expression to represent the cost of running the amusement park?
- In what ways can algebraic expressions be used to optimize the design of a ride in the amusement park?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Students will be able to write and evaluate algebraic expressions to model costs, revenue, and profit for an amusement park.
- Students will be able to apply algebraic expressions to optimize the design of an amusement park ride.
- Students will be able to analyze and interpret the relationships between different variables in the context of amusement park operations.
Entry Events
Events that will be used to introduce the project to studentsThe Mystery of the Missing Mascot
The park's beloved mascot has disappeared right before the grand opening! Students receive a coded message (algebraic expressions) that leads them on a scavenger hunt around the classroom to solve the mystery and save the day, connecting expression evaluation to a real-world problem with a ticking clock.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Expression Expedition: Park Planning
Students begin by brainstorming different aspects of an amusement park (rides, food stalls, attractions) and create algebraic expressions to represent the potential costs and revenues associated with each. This lays the groundwork for understanding how expressions can model real-world financial scenarios.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 list of amusement park components, each with algebraic expressions representing its costs and revenues.Alignment
How this activity aligns with the learning objectives & standardsLearning Goal: Students will be able to write and evaluate algebraic expressions to model costs, revenue, and profit for an amusement park. Essential Question: How can expressions be used to represent real-world scenarios, like costs and profits in an amusement park?Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioAmusement Park Expression Design: Park Planning Rubric
Expression Construction
Focuses on the accuracy and appropriateness of the algebraic expressions created to represent costs and revenues.Variable Identification
How well the student identifies and defines the variables needed to represent unknown quantities in the expressions.
Exemplary
4 PointsClearly and accurately identifies all relevant variables with precise definitions, demonstrating a deep understanding of their role in the expressions.
Proficient
3 PointsIdentifies most relevant variables with clear definitions. Minor inaccuracies or omissions do not significantly impact the expressions.
Developing
2 PointsIdentifies some relevant variables, but definitions may be vague or incomplete. Significant inaccuracies or omissions affect the expressions.
Beginning
1 PointsStruggles to identify relevant variables, and definitions are unclear or missing. Variables are poorly integrated into the expressions.
Expression Accuracy
The degree to which the algebraic expressions correctly represent the described costs and revenues.
Exemplary
4 PointsExpressions are entirely accurate and effectively model the cost and revenue scenarios, demonstrating a sophisticated understanding of algebraic representation.
Proficient
3 PointsExpressions are mostly accurate, with only minor errors that do not significantly impact the overall representation of costs and revenues.
Developing
2 PointsExpressions contain some inaccuracies or omissions that affect the representation of costs and revenues. Significant revisions may be needed.
Beginning
1 PointsExpressions are largely inaccurate and do not effectively represent the described costs and revenues. Significant reconstruction is required.
Real-World Connection
Assesses the student's ability to connect the algebraic expressions to the real-world context of amusement park costs and revenues.Contextual Relevance
How well the chosen variables and expressions relate to actual costs and revenue streams in an amusement park.
Exemplary
4 PointsDemonstrates a strong connection between the expressions and the real-world context, providing insightful justifications for the chosen variables and their relationships.
Proficient
3 PointsDemonstrates a clear connection between the expressions and the real-world context, justifying the chosen variables and their relationships effectively.
Developing
2 PointsShows some connection between the expressions and the real-world context, but justifications may be superficial or lack detail.
Beginning
1 PointsStruggles to connect the expressions to the real-world context. Justifications are missing or irrelevant.
Practical Application
The extent to which the expressions could be used to make practical decisions about amusement park operations.
Exemplary
4 PointsExpressions are highly practical and could be directly used to model costs, predict revenues, and optimize amusement park operations, demonstrating a deep understanding of their application.
Proficient
3 PointsExpressions are practical and could be used to model costs and predict revenues with some adjustments. Demonstrates a solid understanding of their application.
Developing
2 PointsExpressions have limited practical application and require significant modification to be useful for modeling costs and revenues.
Beginning
1 PointsExpressions are impractical and cannot be realistically used to model costs or predict revenues in the amusement park context.
Presentation & Organization
Evaluates the clarity and organization of the student's work, including the presentation of the list of amusement park components and associated expressions.Clarity of Presentation
How clearly and effectively the information is presented.
Exemplary
4 PointsPresents information in a highly clear, concise, and organized manner. The list of components and expressions is easy to understand and visually appealing.
Proficient
3 PointsPresents information clearly and organized with minor areas for improvement. The list of components and expressions is generally easy to understand.
Developing
2 PointsPresentation lacks clarity and organization in places, making it somewhat difficult to understand the list of components and associated expressions.
Beginning
1 PointsPresentation is disorganized and unclear, making it difficult to understand the list of components and associated expressions.
Completeness
How thoroughly the student lists and describes the amusement park components and expressions.
Exemplary
4 PointsProvides a comprehensive and detailed list of amusement park components, each with well-developed and thoroughly explained algebraic expressions.
Proficient
3 PointsProvides a complete list of amusement park components, with well-developed algebraic expressions for each.
Developing
2 PointsProvides a partial list of amusement park components, with some algebraic expressions lacking detail or completeness.
Beginning
1 PointsProvides an incomplete list of amusement park components, with many algebraic expressions missing or underdeveloped.