Fitness App: Compound Inequalities for Personalized Goals
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we design a fitness app that uses compound inequalities to personalize workout goals, helping users understand and achieve their desired fitness levels?Essential Questions
Supporting questions that break down major concepts.- How can compound inequalities be used to represent real-world constraints, like fitness goals?
- How do you solve and graph compound inequalities?
- What are the different types of compound inequalities (and/or) and how do they affect the solution set?
- How can technology, like a fitness app, help visualize and manage mathematical relationships, such as workout intensity and duration?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Understand and apply compound inequalities to model real-world fitness scenarios.
- Solve and graph compound inequalities to determine feasible workout intensity and duration ranges.
- Design a fitness app that personalizes workout goals based on individual fitness levels and constraints represented by compound inequalities.
- Use technology to visualize and manage mathematical relationships in fitness and health.
Entry Events
Events that will be used to introduce the project to studentsFitness Challenge Launch
Students participate in a mini fitness challenge (e.g., timed squats, planks). Afterwards, they analyze their performance data, noting variations and setting personalized fitness goals using compound inequalities. This sparks interest in how math can be applied to fitness tracking.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.Compound Inequality Explorer
Students will delve into the world of compound inequalities, learning to solve and graph them. They will apply these skills to fitness contexts.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 set of solved and graphed compound inequalities representing various fitness goals.Alignment
How this activity aligns with the learning objectives & standardsLearning Goal: Solve and graph compound inequalities to determine feasible workout intensity and duration ranges.App Blueprint: Goal Personalization
Students will design the structure of their fitness app, focusing on how compound inequalities will personalize workout goals.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 app blueprint, including user interface sketches and algorithms for personalized goal setting using compound inequalities.Alignment
How this activity aligns with the learning objectives & standardsLearning Goal: Design a fitness app that personalizes workout goals based on individual fitness levels and constraints represented by compound inequalities.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioFitness App Design and Compound Inequalities Rubric
Compound Inequality Mastery
Understanding and application of compound inequalities in solving and graphing.Solving Compound Inequalities
Accuracy and completeness in solving 'and' and 'or' compound inequalities.
Exemplary
4 PointsDemonstrates a sophisticated understanding of solving compound inequalities, including both 'and' and 'or' types, with no errors and clear, logical steps. Can handle complex scenarios and explain the reasoning behind each step.
Proficient
3 PointsAccurately solves 'and' and 'or' compound inequalities with minimal errors and clear steps. Shows a solid understanding of the solution process.
Developing
2 PointsSolves basic compound inequalities with some errors or omissions in steps. Shows a partial understanding of the solution process.
Beginning
1 PointsStruggles to solve compound inequalities and makes significant errors. Shows limited understanding of the solution process.
Graphing Compound Inequalities
Accuracy and clarity in graphing compound inequalities on a number line.
Exemplary
4 PointsGraphs compound inequalities accurately and clearly, using correct notation (open/closed circles, arrows) and labels. Can explain the meaning of the graph in the context of fitness goals.
Proficient
3 PointsGraphs compound inequalities accurately with minor errors in notation or labeling. Shows a good understanding of the relationship between the inequality and its graph.
Developing
2 PointsGraphs compound inequalities with some inaccuracies in notation or labeling. Shows a basic understanding of the relationship between the inequality and its graph.
Beginning
1 PointsStruggles to graph compound inequalities and makes significant errors. Shows limited understanding of the relationship between the inequality and its graph.
App Design & Personalization
Effectiveness of the app design in personalizing workout goals using compound inequalities.Fitness Scenario Translation
Ability to translate real-world fitness goals into compound inequalities.
Exemplary
4 PointsEffectively translates complex fitness scenarios into accurate and relevant compound inequalities. Demonstrates a sophisticated understanding of how mathematical constraints can model real-world fitness goals.
Proficient
3 PointsTranslates fitness scenarios into compound inequalities with minimal errors. Shows a clear understanding of how to represent fitness goals mathematically.
Developing
2 PointsTranslates basic fitness scenarios into compound inequalities with some errors or simplifications. Shows a partial understanding of the process.
Beginning
1 PointsStruggles to translate fitness scenarios into compound inequalities and makes significant errors. Shows limited understanding of the process.
App Blueprint and Algorithms
Clarity, feasibility, and effectiveness of the app blueprint and algorithms for personalized goal setting.
Exemplary
4 PointsPresents a detailed and well-organized app blueprint, including a clear user interface design and effective algorithms that use compound inequalities to personalize workout goals seamlessly. Demonstrates innovative thinking and a strong understanding of user experience.
Proficient
3 PointsPresents a clear app blueprint with a functional user interface and algorithms that effectively use compound inequalities for personalized goal setting. Shows a good understanding of app design principles.
Developing
2 PointsPresents a basic app blueprint with a partially functional user interface and algorithms that attempt to use compound inequalities for personalized goal setting but may have limitations or inconsistencies.
Beginning
1 PointsPresents an incomplete or unclear app blueprint with a poorly defined user interface and ineffective algorithms. Shows limited understanding of app design principles.