$1.**$Reimann Sum$**-$ A numerical method for approximating the total value of a curve. This specific application involves dividing the property into trapezoidal sections to calculate its area, with each trapezoid's height being the distance across the property perpendicular to the lakefront$\mathrm{.}2.**$Square Footage$**-$ The area measurement of a property expressed in square feet. In this context, it's calculated for each zoning category within a property to determine the tax liability$\mathrm{.}3.**$Estimated Property Tax$**-$ The monetary amount calculated by applying specific tax rates to the square footage of each zoning category within a property. This calculation provides the property's tax assessment based on its designated use areas$\mathrm{.}4.**$Zone $1($Waterfront$)**-$ A designated area of the property that directly borders a body of water, with a higher tax rate due to the increased value associated with waterfront access$\mathrm{.}5.**$Zone $2($Treed or Wooded$)**-$ A portion of the property covered by trees or forest, assessed with a specific tax rate reflecting its use and ecological value$\mathrm{.}6.**$Zone $3($Planted$)**-$ Areas of the property developed with lawns, gardens, or other landscaped features, carrying a lower tax rate due to their non$-$commercial, aesthetic use$\mathrm{.}7.**$Zone $4($Buildings or Out$-$buildings$)**-$ The part of the property where structures such as houses, sheds, and garages are located, taxed at a rate that considers the value added by these improvements$\mathrm{.}8.**$Tax Rates$**-$ Predetermined charges applied per square foot of property in each zoning category, used to calculate the total estimated property tax$\mathrm{.}9.**$Trapezoidal Areas$**-$ Shapes used in the Reimann Sum calculation to approximate the area of irregular properties, specifically by dividing the property into trapezoids along the boundary opposite the lake$\mathrm{.}10.**$Total Square Footage$**-$ The sum of all areas within the property boundaries, calculated to determine the base for tax assessment across different zones$\mathrm{.}11.**$Total Estimated Property Tax$**-$ The sum of estimated taxes for all zoning categories within a property, representing the total tax liability to be advertised for the property$\mathrm{.}12.**$Residential Use$**-$ The designation for property intended for living purposes, as opposed to commercial or industrial use, affecting its zoning and tax rates$\mathrm{.}13.**$Linear on Three Sides$**-$ Describes the property boundaries that are straight lines, except for the side bordering the lake, which may be irregular$\mathrm{.}14.**$Black Bay Lake$**-$ The body of water adjoining the properties in question, contributing to the value and tax assessment of waterfront zones$\mathrm{.}15.**$Solo Project$**-$ An individual assignment designed to apply mathematical concepts to real$-$world scenarios, in this case, property tax assessment$\mathrm{.}16.**$Calculations and Results$**-$ The numerical work and final figures derived from applying the project's methodologies to estimate property taxes, required to be shown and submitted for evaluation$\mathrm{.}17.**$Diagram$**-$ A visual representation of the properties and their division into zones, provided to assist in the calculation of areas and the application of tax rates$\mathrm{.}18.**$Property Tax Zone$**-$ Categories within a property designated for specific uses, such as waterfront, treed, planted, and buildings, each with its own tax rate for assessment purposes$\mathrm{.}19.**$Email Submission$**-$ The method of delivering the completed project calculations to the professor, indicating the digital nature of assignment submission$\mathrm{.}20.**$Quarter$-$Inch Squares$**-$ Refers to the scale used on the graph paper in the diagram, where each square represents a specific measurement $(25$ feet in this context$),$ used for calculating property dimensions$\mathrm{.}21.**$Accommodations$**-$ Adjustments or provisions made to ensure all students have the necessary support and resources to complete the project, acknowledging diverse needs$\mathrm{.}22.**$Challenging and Stimulating$**-$ Describes the intended educational quality of the project, aiming to engage students deeply and develop their skills$\mathrm{.}23.**$Ample Time$**-$ Indicates that sufficient duration is provided to complete the project, accommodating various schedules and learning paces$\mathrm{.}24.**$Three Properties$**-$ The specific lots available for analysis in the project, each with unique characteristics and zoning designations for tax assessment$\mathrm{.}25.**$Estimated Property Taxes$**-$ The calculated financial obligation owed on a property based on its assessed value and applicable tax rates, as determined through the project's methodology.