Using Theoretical and Experimental Probability to Make Predictions
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Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
Using Multiplication by a Constant Factor
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Given problems involving proportional relationships, the student will use multiplication by a constant factor to solve the problems.
Predicting, Finding, and Justifying Data from a Table
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Given data in table form, the student will use the data table to interpret solutions to problems.
Predicting, Finding, and Justifying Data from Verbal Descriptions
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Given data in a verbal description, the student will use equations and tables to solve and interpret solutions to problems.
Transformations of Square Root and Rational Functions
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Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.
Transformations of Exponential and Logarithmic Functions
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Given an exponential or logarithmic function, the student will describe the effects of parameter changes.
Solving Square Root Equations Using Tables and Graphs
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Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.
Functions and their Inverses
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Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.
Rational Functions: Predicting the Effects of Parameter Changes
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Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.
Finding the Probabilities of Dependent and Independent Events
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Given problem situations, the student will find the probability of the dependent and independent events.
Recognizing Misuses of Graphical or Numerical Information
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Given a problem situation, the student will analyze data presented in graphical or tabular form by evaluating the predictions and conclusions based on the information given.
Evaluating Methods of Sampling from a Set of Data
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Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.
Converting Between Measurement Systems
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Given a real-world situation with measurements in either metric/SI or customary units, the student will solve a problem requiring them to convert from one system to the other.
Domain and Range: Numerical Representations
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Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Domain and Range: Graphs
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Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Domain and Range: Function Notation
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Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Domain and Range: Verbal Description
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The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.
Domain and Range: Contextual Situations
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The student will be able to identify and determine reasonable values for the domain and range from any given contextual situation.
Modeling Data with Linear Functions
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Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear model to predict data points.
Formulating Systems of Inequalities
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Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.