Central Administration Page Science Education Resource Center | Carleton College

## SERC Vocabularies

These controlled vocabularies are under development at SERC. They vary widely in terms of refinement and the degree to which they have been tested with users. None represents a finished product. Caveat emptor.

## SSAC Quantitative Concepts

• Basic arithmetic; Number sense
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• Number operations: addition, subtraction, multiplication, division
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• Order of operations
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• Ratio and proportion; percentage; interpolation
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• Units and Dimensions
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• Unit Conversions
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• Dimensions
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• Unit conversions
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• Significant figures
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• Average; weighted average
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• Rates
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• Rates of Change
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• Comparisons; percent difference, change, increase
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• Estimation
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• Logarithms; orders of magnitude; scientific notation
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• Measurement; Data presentation and analysis; Probability
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• Gathering data
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• Creating equations; text-to-math translation
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• Uncertainty
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• Error; relative error
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• Precision vs. accuracy
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• Effect of uncertainty; sensitivity
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• Manipulating tabular data
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• Visual display of data
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• Bar graphs; column graphs; stacked bar graphs
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• Line graphs
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• XY scatter plots
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• Pie charts
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• Logarithmic scale
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• Descriptive statistics; trend lines
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• Mean
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• Median; mode
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• Standard deviation; variance; range
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• Quartiles; percentiles
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• Line- and curve-fitting
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• Goodness of fit (R2)
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• Probability
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• Normal distribution
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• Statistical models; statistical inference; sampling
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• Algebra; Modeling; Functions
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• Manipulating equations
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• Functions: general
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• Concept of function
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• Zeroes of function
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• Straight lines and linear functions
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• Slope, intercept; linear trends
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• Linear algebra
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• Solving simultaneous equations
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• Determinants
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• Linear programming, linear inequalities
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• Nonlinear functions of a single variable
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• Exponential function
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• Exponential (geometric) growth
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• Logistic function
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• Exponential decay
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• Logarithmic function
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• Power function
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• Polynomial function
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• Trigonometric functions
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• Multivariable functions
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• Contours
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• Two-way table
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• Modeling
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• Forward modeling
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• Inverse problem
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• Finite differences
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• Geometry; Trigonometry
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• Circles (including radians and pi)
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• Squares and rectangles
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• Triangles and trigonometric ratios
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• Other plane figures
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• Spheres
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• Cubes and rectangular solids
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• Other solid figures
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• Calculus; Numerical methods
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• Derivatives and integrals (analytical)
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• Finding maximum/minimum
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• Numerical differentiation
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• Numerical integration including Riemann sum
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• Differential equations including difference equations
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• Iteration
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• Creating and manipulating tabular data
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• Organizing and classifying data
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• Sorting data
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• Subtotals
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• Pivot table
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• Lookup function
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Problems? Questions? Contact sfox@carleton.edu