# SSAC General Collection Modules

Following are short descriptions of the available modules. To access any of them, select from the list and you will connect to cover material including learning goals, context of use, and other information. Within the cover material (under "Teaching Materials") there is a link by which you can download the student version of the module. You can also request an instructor's version by clicking on the "request" link under Teaching Materials.

There are a couple of ways of searching for modules. The box below left provides a full-text search of the cover material about the module, so you can search by author, subject, or keyword. The controlled vocabularies below right allow targeted searches by three different dimensions (click on the links to see the full, hierarchical vocabularies): Math content (Quantitative Concept) (Microsoft Word 41kB Jun17 10), Context (Subject) (Microsoft Word 29kB Jul13 07), and Excel Skill (Microsoft Word 32kB Jul13 07).

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## Quantitative Concepts

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# Quantitative Concepts Show all Quantitative Concepts

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Earth's Planetary Density: Constraining What We Think about the Earth's Interior part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum module. Students build spreadsheets to forward calculate the Earth's aggregate density from combinations of densities and thicknesses of the Earth's four shells.

Quantitative Concepts: Calculus; Numerical methods:Numerical integration including Riemann sum, Measurement; Data presentation and analysis; Probability:Visual display of data :Pie charts, Calculus; Numerical methods:Derivatives and integrals (analytical), Algebra; Modeling; Functions:Modeling:Inverse problem, Basic arithmetic; Number sense:Logarithms; orders of magnitude; scientific notation, Average; weighted average, Units and Dimensions, Algebra; Modeling; Functions:Manipulating equations, Geometry; Trigonometry :Spheres, Algebra; Modeling; Functions:Modeling:Forward modeling
Subject: Natural science:Earth science
Excel Skills: Basic Arithmetic:Arithmetic Functions:SUMPRODUCT, Basic Arithmetic:Simple Formulas, Arithmetic Functions:SUM, Basic Arithmetic:Nested Formulas, Angles and Trig Functions:PI, Graphs and Charts:Pie Chart

Radioactive Decay and Popping Popcorn -- Understanding the Rate Law part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum module. Students build spreadsheets to forward model an example of exponential decay and interpret the meaning of the decay constant.

Quantitative Concepts: Measurement; Data presentation and analysis; Probability:Descriptive statistics; trend lines :Line- and curve-fitting, Goodness of fit (R2), Basic arithmetic; Number sense:Ratio and proportion; percentage; interpolation, Rates:Rates of Change, Measurement; Data presentation and analysis; Probability:Probability, Visual display of data :Logarithmic scale, Algebra; Modeling; Functions:Modeling:Forward modeling, Algebra; Modeling; Functions:Nonlinear functions of a single variable:Exponential decay, Measurement; Data presentation and analysis; Probability:Visual display of data :XY scatter plots, Basic arithmetic; Number sense:Units and Dimensions:Dimensions, Creating and manipulating tabular data, Calculus; Numerical methods:Differential equations including difference equations, Algebra; Modeling; Functions:Nonlinear functions of a single variable:Exponential function
Subject: Natural science:Physics, Chemistry
Excel Skills: Basic Arithmetic:Nested Formulas, Graphs and Charts:XY Scatterplot:One Plot, Trendlines, Basic Arithmetic:Simple Formulas

Minimizing Cost while Meeting Nutritional Needs -- An example of linear programming part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum module. Students use Excel Solver to find the linear combination of servings of two specified foods that minimize cost while meeting nutritional requirements.

Quantitative Concepts: Algebra; Modeling; Functions:Straight lines and linear functions:Solving simultaneous equations, Linear programming, linear inequalities, Measurement; Data presentation and analysis; Probability:Visual display of data , Algebra; Modeling; Functions:Multivariable functions:Contours, Algebra; Modeling; Functions:Modeling:Forward modeling, Calculus; Numerical methods:Finding maximum/minimum, Creating and manipulating tabular data:Lookup function
Subject: Mathematics, statistics and computers:Computers, Health:Personal health
Excel Skills: Other Manipulations and Functions:Lookup Functions, Basic Arithmetic:Arithmetic Functions:SUMPRODUCT

Introducing Endangered Birds to Ulva, NZ -- Modeling exponential and logistic growth of the yellowhead population part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum module. Students build spreadsheets to model the growth in population of a species of birds introduced to an isolated island in New Zealand.

Quantitative Concepts: Measurement; Data presentation and analysis; Probability:Visual display of data :Reading graphs, Basic arithmetic; Number sense:Rates:Rates of Change, Measurement; Data presentation and analysis; Probability:Visual display of data :XY scatter plots, Algebra; Modeling; Functions:Nonlinear functions of a single variable:Exponential (geometric) growth:Logistic function, Algebra; Modeling; Functions:Nonlinear functions of a single variable:Exponential function, Algebra; Modeling; Functions:Modeling:Forward modeling, Calculus; Numerical methods:Differential equations including difference equations, Creating and manipulating tabular data, Calculus; Numerical methods:Finding maximum/minimum
Subject: Natural science:Biology
Excel Skills: Graphs and Charts:XY Scatterplot:One Plot, Basic Arithmetic:Nested Formulas, Simple Formulas

Chaos in Population Dynamics -- Understanding Chaos in the Logistic Model part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum module. Students build spreadsheets to explore conditions that lead to chaotic behavior in logistic models of populations that grow discretely.

Quantitative Concepts: Measurement; Data presentation and analysis; Probability:Descriptive statistics; trend lines :Goodness of fit (R2), Basic arithmetic; Number sense:Rates, Ratio and proportion; percentage; interpolation, Algebra; Modeling; Functions:Nonlinear functions of a single variable:Exponential function, Measurement; Data presentation and analysis; Probability:Descriptive statistics; trend lines :Line- and curve-fitting, Algebra; Modeling; Functions:Modeling:Forward modeling, Algebra; Modeling; Functions:Multivariable functions, Nonlinear functions of a single variable:Exponential (geometric) growth:Logistic function, Calculus; Numerical methods:Differential equations including difference equations, Iteration, Measurement; Data presentation and analysis; Probability:Visual display of data :XY scatter plots, Creating and manipulating tabular data
Subject: Natural science:Biology, Mathematics, statistics and computers:Mathematics
Excel Skills: Basic Arithmetic:Simple Formulas, Graphs and Charts:XY Scatterplot:One Plot, Multiple Plots, Basic Arithmetic:Nested Formulas

Archimedes and Pi part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets across the Curriculum Activity. Student build spreadsheets that allow them to estimate pi using the same iterative process as Archimedes.

Quantitative Concepts: Creating and manipulating tabular data, Calculus; Numerical methods:Iteration, Basic arithmetic; Number sense:Estimation, Number operations:Number operations: addition, subtraction, multiplication, division, Basic arithmetic; Number sense:Ratio and proportion; percentage; interpolation, Algebra; Modeling; Functions:Modeling:Forward modeling, Geometry; Trigonometry :Circles (including radians and pi), Other plane figures, Triangles and trigonometric ratios
Subject: Social science:History, Mathematics, statistics and computers:Mathematics
Excel Skills: Basic Arithmetic, :Simple Formulas, Logic Functions, :IF

Predator-Prey Interactions -- Modeling the Number of Fishers and Porcupines in New Hampshire part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum activity/Introductory Ecology course. Students build and manipulate spreadsheets to model and graph populations using the Lotka-Volterra predator-prey equations.

Quantitative Concepts: Measurement; Data presentation and analysis; Probability:Visual display of data :XY scatter plots, Basic arithmetic; Number sense:Rates:Rates of Change, Algebra; Modeling; Functions:Modeling:Forward modeling, Calculus; Numerical methods:Differential equations including difference equations, Creating and manipulating tabular data
Subject: Natural science:Biology
Excel Skills: Graphs and Charts:XY Scatterplot:Multiple Plots, One Plot, Basic Arithmetic:Simple Formulas, Nested Formulas

Calzones vs. Mini-Pizzas -- A Linear Programming Problem part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum module. Students build a spreadsheet to find the combination of mini-pizzas and calzones that maximizes revenue given constraints on labor time and baking time.

Quantitative Concepts: Measurement; Data presentation and analysis; Probability:Visual display of data :XY scatter plots, Algebra; Modeling; Functions:Straight lines and linear functions:Slope, intercept; linear trends, Algebra; Modeling; Functions:Manipulating equations, Straight lines and linear functions:Linear programming, linear inequalities, Algebra; Modeling; Functions:Multivariable functions, Calculus; Numerical methods:Finding maximum/minimum
Subject: Business, economics and finance : Business , Mathematics, statistics and computers:Mathematics
Excel Skills: Logic Functions:IF, Basic Arithmetic:Nested Formulas, Arithmetic Functions:SUMPRODUCT, Graphs and Charts:XY Scatterplot:Multiple Plots, Logic Functions:AND

The Manning Equation part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum Module. Students build spreadsheets to estimate discharge for a culvert using the Manning equation, and to estimate culvert size, given a specified discharge.

Quantitative Concepts: Creating and manipulating tabular data, Measurement; Data presentation and analysis; Probability:Descriptive statistics; trend lines :Line- and curve-fitting, Measurement; Data presentation and analysis; Probability:Visual display of data :XY scatter plots, Calculus; Numerical methods:Iteration, Basic arithmetic; Number sense:Ratio and proportion; percentage; interpolation, Algebra; Modeling; Functions:Manipulating equations, Basic arithmetic; Number sense:Units and Dimensions:Dimensions, Geometry; Trigonometry :Circles (including radians and pi), Algebra; Modeling; Functions:Nonlinear functions of a single variable:Power function, Algebra; Modeling; Functions:Modeling:Inverse problem, Forward modeling, Basic arithmetic; Number sense:Rates
Subject: Engineering, agriculture:Civil, environmental, hydraulic engineering, Natural science:Physics
Excel Skills: Graphs and Charts:XY Scatterplot:Trendlines, One Plot, Basic Arithmetic:Nested Formulas

Maximize the Volume of a Box: Exploring Polynomial Functions part of Spreadsheets Across the Curriculum:General Collection:Examples
Spreadsheets Across the Curriculum module. Students build spreadsheets to find the maximum volume of an open-top box by cut-and-folding a sheet of cardboard.

Quantitative Concepts: Calculus; Numerical methods:Finding maximum/minimum, Creating and manipulating tabular data, Basic arithmetic; Number sense:Units and Dimensions:Dimensions, Algebra; Modeling; Functions:Manipulating equations, Measurement; Data presentation and analysis; Probability:Visual display of data :XY scatter plots, Calculus; Numerical methods:Derivatives and integrals (analytical), Algebra; Modeling; Functions:Nonlinear functions of a single variable:Polynomial function, Quadratic function, Algebra; Modeling; Functions:Modeling:Forward modeling, Geometry; Trigonometry :Cubes and rectangular solids, Squares and rectangles, Algebra; Modeling; Functions:Modeling:Inverse problem, Algebra; Modeling; Functions:Functions: general:Zeroes of function
Subject: Mathematics, statistics and computers:Mathematics
Excel Skills: Basic Arithmetic:Simple Formulas, Graphs and Charts:XY Scatterplot, Graphs and Charts, Basic Arithmetic