Hydro-Preneurship: Engineering Vertical Gardens for Community Growth
Inquiry Framework
Question Framework
Driving Question
The overarching question that guides the entire project.How can we, as Hydro-Preneurs, design a high-yield vertical garden and a sustainable business model to provide affordable, fresh produce to families in local food deserts?Essential Questions
Supporting questions that break down major concepts.- How can we use fractions, decimals, and percents to precisely balance the nutrient solutions needed for healthy plant growth?
- In what ways can we use the percent proportion and percent equation to calculate the total crop yield required to feed a specific percentage of our local population?
- How can we apply percent of change to analyze and compare the growth rates of vertical gardens versus traditional soil-based farming?
- How do we use markups and discounts to create a pricing strategy that makes our fresh produce affordable for food deserts while still covering our business costs?
- How does the application of simple interest impact the long-term financial feasibility of starting a community-based 'Hydro-Preneurship' venture?
Standards & Learning Goals
Learning Goals
By the end of this project, students will be able to:- Design and iterate a functioning vertical hydroponic system prototype based on specific space and yield constraints.
- Calculate and analyze precise nutrient concentrations by converting between fractions, decimals, and percentages.
- Develop a comprehensive business model that uses the percent proportion and equation to determine markups, discounts, and simple interest for financial sustainability.
- Compare growth rates between hydroponic and traditional farming methods using calculations of percent change.
- Evaluate the socio-economic impact of local food production on food deserts using statistical modeling.
Common Core State Standards (Math)
Next Generation Science Standards
Entry Events
Events that will be used to introduce the project to studentsThe $20 Lettuce Crisis
Students are presented with a 'Grocery Receipt from the Future' showing a single head of lettuce priced at $18.50 due to 'Supply Chain Surcharges' and 'Import Markups.' They must investigate why local prices are skyrocketing and how a 300% markup affects their community's ability to eat, sparking a need to bypass traditional retail through home-grown engineering.Portfolio Activities
Portfolio Activities
These activities progressively build towards your learning goals, with each submission contributing to the student's final portfolio.The Yield Forecaster: Proportions in Action
Students use demographic data from a local food desert to determine how many 'vertical towers' are needed to feed a specific portion of the population. They will use the percent proportion (is/of = %/100) and the percent equation (part = percent x whole) to calculate crop yields based on the space available in their prototype designs.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 'Community Yield Report' that uses mathematical modeling to predict how many heads of lettuce can be produced and what percentage of a local neighborhood's vegetable needs will be met.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.7.RP.A.3 (Use percent proportions/equations to find missing quantities). This activity forces students to use the part/whole/percent relationship to solve real-world logistical problems.The Social Enterprise: Markups and Markdown Magic
To make the business sustainable, students must calculate the cost of production (seeds, electricity, nutrients). They will then apply a markup to cover business costs and a 'Social Discount' for low-income families to ensure the produce remains affordable, directly addressing the '$20 Lettuce Crisis' from the entry event.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 'Hydro-Preneur Price List' showing the Wholesale Cost, the Markup Price, and the 'Community Discount' Final Price for various crops.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.7.RP.A.3 (Markups and markdowns) and CCSS.MATH.CONTENT.7.EE.B.3 (Solving multi-step real-life problems). This addresses the socio-economic aspect of the project.Future Funding: The Simple Interest Pitch
Students will simulate 'borrowing' a startup loan of $500 to build their vertical garden infrastructure. They must use the simple interest formula (I = Prt) to calculate how much interest they will owe after 1, 2, and 3 years, and determine if their projected sales (from the previous activity) can cover the debt.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 'Financial Feasibility Pitch' that includes a repayment schedule and an analysis of how interest rates impact their long-term business goals.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.7.RP.A.3 (Simple Interest formula). This prepares students for the 'Entrepreneurship' side of the project by understanding the cost of capital.The Growth Tracker: Analyzing Percent of Change
In this activity, students compare the growth of their hydroponic plants against a control group of soil-based plants. They will measure plant height and leaf count over two weeks, then calculate the percent of change to scientifically prove which method is more efficient for high-density urban farming.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 Comparative Growth Infographic displaying the 'Hydroponic Advantage' through calculated percentages of increase for both height and biomass.Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.7.RP.A.3 (Percent increase/decrease) and NGSS MS-LS1-5 (Environmental factors influencing growth). Students use math to provide evidence for scientific claims about hydroponic efficiency.The Nutrient Alchemist: Precision Conversions
Before building the gardens, students must master the 'Secret Sauce' of hydroponics: the nutrient solution. They will receive nutrient recipes in various formats (fractions, ratios, and percentages) and must convert them into a single, standardized decimal format to calibrate their measurement tools. This ensures students understand that 1/4 strength solution is the same as 0.25 or 25% concentration.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 'Hydro-Nutrient Cheat Sheet' featuring a conversion table (fraction/decimal/percent) for three different growth stages (Seedling, Vegetative, and Flowering).Alignment
How this activity aligns with the learning objectives & standardsAligns with CCSS.MATH.CONTENT.7.NS.A.2.D (Convert a rational number to a decimal) and CCSS.MATH.CONTENT.7.RP.A.3 (Using proportional relationships). Students must demonstrate the ability to switch between representations to ensure chemical safety and plant health.Rubric & Reflection
Portfolio Rubric
Grading criteria for assessing the overall project portfolioHydro-Preneurship: Engineering & Economic Portfolio Rubric
Mathematical Foundations and Accuracy
Focuses on the core mathematical operations of the project, including proportions, equations, and rational number conversions applied to agriculture and demographics.Mathematical Modeling of Yield
Accuracy and application of the percent proportion (is/of = %/100) and percent equation (part = percent x whole) to determine community needs and garden capacity.
Exemplary
4 PointsCalculations are flawlessly executed with sophisticated modeling. The student identifies nuanced demographic factors and provides an innovative strategy for scaling the vertical garden units to exceed target feed rates.
Proficient
3 PointsCalculations using the percent proportion and equation are accurate and clearly labeled. The student correctly determines the number of units needed to feed the specified 15% of the population.
Developing
2 PointsCalculations show emerging understanding but contain minor errors in setting up the proportion or equation. The relationship between population 'part' and 'whole' is partially correct.
Beginning
1 PointsCalculations are incomplete or contain significant errors. The student struggles to differentiate between the part, whole, and percent in the context of the food desert data.
Nutrient Alchemist Precision
Precision in converting nutrient requirements between fractions, decimals, and percentages (CCSS.MATH.CONTENT.7.NS.A.2.D) to ensure chemical safety and plant health.
Exemplary
4 PointsConversions are 100% accurate across all three representations. The 'Mixing Guide' is professional-grade, using long division perfectly to show terminating and repeating decimals, ensuring zero margin for error in the lab.
Proficient
3 PointsConversions between fractions, decimals, and percentages are correct. The student demonstrates a clear ability to use long division to convert rational numbers and applies them to the nutrient mix.
Developing
2 PointsConversions are mostly correct but may contain errors in decimal placement or rounding. Some fractional representations are not accurately translated to decimal form.
Beginning
1 PointsMajor errors in conversion between formats. The student shows limited understanding of how to use long division to find decimal equivalents for nutrient ratios.
Economic Literacy and Social Impact
Evaluates the student's ability to use math to drive social change and business sustainability through markups, discounts, and interest calculations.Social Enterprise Pricing Strategy
Application of markups, discounts, and unit cost analysis to solve the '$20 Lettuce Crisis' while maintaining business sustainability.
Exemplary
4 PointsPricing strategy is comprehensive and includes a sophisticated 'Social Discount' model. The student provides a detailed analysis of how the 40% markup and 25% discount interact to ensure both affordability and profit.
Proficient
3 PointsCorrectly applies a 40% markup to the unit cost and calculates a 25% discount for the community. The final price list is accurate and logically compares the new price to the crisis price.
Developing
2 PointsApplies markups or discounts inconsistently. The logic behind the final price is present but contains calculation errors or fails to account for all production costs.
Beginning
1 PointsStruggles to calculate markups or discounts. The price list does not reflect the economic constraints of a food desert or the needs of a sustainable business.
Financial Sustainability and Interest
Application of the simple interest formula (I=Prt) to analyze the long-term feasibility of a startup loan.
Exemplary
4 PointsThe financial pitch includes a masterful break-even analysis. The student accurately calculates interest over multiple years and provides a compelling argument for how sales volume will cover the total balance.
Proficient
3 PointsAccurately uses I=Prt to calculate interest for 1, 2, and 3 years. The repayment schedule is clear and correctly identifies the total balance (Principal + Interest).
Developing
2 PointsCalculates interest correctly for one time period but struggles with multi-year analysis or the break-even connection. Minor errors in using the formula variables.
Beginning
1 PointsSignificant errors in applying the simple interest formula. The student cannot clearly articulate how borrowing money impacts the total cost of the project.
Scientific Inquiry and Engineering
Assesses the student's ability to act as a scientist and engineer, using data to prove the efficacy of their garden and its impact on living organisms.Growth Analysis and Percent Change
Calculation of percent increase/decrease to compare growth rates and the construction of a scientific explanation based on evidence (NGSS MS-LS1-5).
Exemplary
4 PointsThe infographic provides a high-level synthesis of data. The percent change calculations are flawless, and the scientific conclusion expertly links nutrient ratios (environmental factors) to the observed biomass increase.
Proficient
3 PointsAccurately calculates the percent of change for both hydroponic and soil groups using [(New-Old)/Old] x 100. Provides a clear scientific explanation for why the hydroponic system influenced growth.
Developing
2 PointsCalculates percent change but makes errors in the formula (e.g., dividing by the new value instead of the original). The scientific conclusion is basic and lacks specific data-driven evidence.
Beginning
1 PointsFails to calculate percent change or provides incorrect data. The scientific explanation does not connect the growth observations to any environmental factors.
Engineering Design and Constraints
Defining criteria and constraints of the vertical garden design to solve the food desert problem (NGSS MS-ETS1-1).
Exemplary
4 PointsThe prototype design and yield report show an exceptional response to constraints. The student optimizes space and resources to maximize yield while maintaining a low-cost profile for the community.
Proficient
3 PointsThe design clearly addresses the constraints of a vertical space and the budget requirements. The student provides a successful solution that balances engineering needs with scientific principles.
Developing
2 PointsThe design is functional but does not fully optimize the constraints of a food desert (e.g., too expensive or low yield). Scientific principles are partially applied.
Beginning
1 PointsThe design fails to meet the basic criteria of a vertical hydroponic system or ignores the constraints of the provided problem.