| FindVectorDirFromComp |
Find the direction of a vector with respect to a coordinate axis, given the vector's components in that coordinate system |
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| FindVectorDotProduct |
Find the dot product of two vectors |
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| FindVectorMagFromComp |
Find the magnitude of a vector, given the vector's components in a coordinate system |
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| FindVectorSum |
Find the vector sum of an arbitrary number of vectors in arbitrary directions |
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| FindVectorSumCollinear |
Find the vector sum of an arbitrary number of vectors that are collinear |
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| FindVectorSumSameDir |
Find the vector sum of an arbitrary number of vectors that are in the same direction |
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| FindVectorSumTwoCollinear |
Find the vector sum of two vectors that are collinear |
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| FindVectorSumTwoOppDir |
Find the vector sum of two vectors that are in the opposite direction |
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| FindVectorSumTwoPerpendicular |
Find the vector sum of two vectors that are perpendicular |
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| FindVectorSumTwoSameDir |
Find the vector sum of two vectors that are in the same direction |
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| FitFunction |
Determine the function that best fits a data set |
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| FormulateSciQuestion |
Formulate a scientific question |
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| Identify |
Identify a phenomenon as a particular instance of a general rule |
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| InterpExtrapLinear |
Interpolate or extrapolate to complete or extend a linear pattern of values |
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| InterpExtrapQuadratic |
Interpolate or extrapolate to complete or extend a quadratic pattern of values |
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| InterpretVariables |
Determine the meaning of variables within the context |
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| MakePrediction |
Make a prediction |
3 |
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| ManipulateAlgebra |
Manipulate algebraic equations and expressions |
4 |
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| Measure |
Measure a quantity |
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| PredictFutureQual |
Predict whether the future value of a quantity will be greater than, equal to, or less than the current value |
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| PredictFutureValue |
Predict the future value of a quantity given its current value and the change |
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| RecMoreLessRel |
Recognize a relationship in which more of one quantity is associated with less of another quantity |
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| RecMoreMoreRel |
Recognize a relationship in which more of one quantity is associated with more of another quantity |
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| RecognizeEqualOppVectors |
Recognize whether two vectors are equal in magnitude and opposite in direction |
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| RepBarGraph |
Represent data in a single-category, single-axis bar graph |
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| RepBarGraphDblAxis |
Represent data in a single-category double-axis bar graph |
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| RepBarGraphDblAxisNestedCat |
Represent data in a double-axis nested-category bar graph |
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| RepBarGraphNestedCat |
Represent data in a single-axis nested-category bar graph |
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| RepDataTable |
Represent data in a table |
0 |
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| RepLineGraph |
Represent data in a line graph |
7 |
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| RepLineGraphDblAxis |
Represent data in a double-axis line graph |
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| RepLineGraphLinLog |
Represent data in a line graph having one linear axis and one log axis |
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| RepLineGraphLogLog |
Represent data in a line graph having two log axes |
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| RepMotionMap |
Represent one-dimensional motion with a motion map/strobe diagram (dots at equal time intervals) |
1 |
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| RepPhenomModel |
Represent a phenomenon using a model |
4 |
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| RepScatterPlot |
Represent data in a scatter plot |
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| RepScatterPlotDblAxis |
Represent data in a double-axis scatter plot |
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| RepScatterPlotLinLog |
Represent data in a scatter plot having one linear axis and one log axis |
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| RepScatterPlotLogLog |
Represent data in a scatter plot having two log axes |
0 |
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| ResolveVector |
Resolve a vector into its components along two axes given the vector's magnitude and direction |
4 |
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| SolveAndSub |
Solve an equation for a variable and substitute for that variable in another equation |
4 |
Ready |
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| SolveLinearInVar |
Solve an equation that is linear in a variable to obtain an expression for that variable |
8 |
Ready |
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| SolveQuadraticInVar |
Solve an equation that is quadratic in a variable to obtain an expression for that variable |
6 |
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| UseDegrees |
Use degrees to describe direction. |
0 |
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| UseNSEW |
Use north, south, east, west, and northeast, northwest, southeast and southwest, to describe direction. |
0 |
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| UseRadians |
Use radians to describe direction. |
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| UseTrigDoubleIdentities |
Use the trigonometric double angle identities: $\sin 2\theta = 2\sin\theta\cos\theta$, $\cos 2\theta = \cos^2\theta - \sin^2\theta$, $\cos 2\theta = 2\cos^2\theta - 1$, $\cos 2\theta = 1 - 2\sin^2\theta$, $\tan 2\theta = \frac{2\tan\theta}{1 - \tan^2\theta}$ |
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| UseTrigHalfIdentities |
Use the trigonometric half angle identities: $\sin\frac{\theta}{2} = \pm\sqrt{\frac{1 - \cos\theta}{2}}$, $\cos\frac{\theta}{2} = \pm\sqrt{\frac{1 + \cos\theta}{2}}$ |
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| UseTrigProdToSumIdentities |
Use the trigonometric product-to-sum identities: $\sin\alpha\cos\beta = \frac{1}{2}[\sin(\alpha+\beta) + \sin(\alpha-\beta)]$, $\cos\alpha\cos\beta = \frac{1}{2}[\cos(\alpha+\beta) + \cos(\alpha-\beta)]$ |
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| UseTrigPythIdentities |
Use the trigonometric Pythagorean identities: $\sin^2\theta + \cos^2\theta = 1$, $1 + \tan^2\theta = \sec^2\theta$, $1 + \cot^2\theta = \csc^2\theta$ |
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