2.2.11: Computation and Estimation
2.2.11.E: Recognize that the degree of precision needed in calculating a number depends on how the results will be used and the instruments used to generate the measure.
2.3.11: Measurement and Estimation
2.3.11.A: Select and use appropriate units and tools to measure to the degree of accuracy required in particular measurement situations.
2.3.11.B: Measure and compare angles in degrees and radians.
2.3.11.C: Demonstrate the ability to produce measures with specified levels of precision.
2.6.11: Statistics and Data Analysis
2.6.11.A: Design and conduct an experiment using random sampling. Describe the data as an example of a distribution using statistical measures of center and spread. Organize and represent the results with graphs. (Use standard deviation, variance and t-tests.)
2.6.11.C: Determine the regression equation of best fit (e.g., linear, quadratic, exponential).
2.6.11.F: Determine the degree of dependence of two quantities specified by a two-way table.
2.7.11: Probability and Predictions
2.7.11.A: Compare odds and probability.
2.7.11.B: Apply probability and statistics to perform an experiment involving a sample and generalize its results to the entire population.
2.7.11.D: Use experimental and theoretical probability distributions to make judgments about the likelihood of various outcomes in uncertain situations.
2.7.11.E: Solve problems involving independent simple and compound events.
2.8.11: Algebra and Functions
2.8.11.A: Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically.
2.8.11.B: Give examples of patterns that occur in data from other disciplines.
2.8.11.C: Use patterns, sequences and series to solve routine and non-routine problems.
2.8.11.D: Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and non-routine problem situations.
2.8.11.E: Use equations to represent curves (e.g., lines, circles, ellipses, parabolas, hyperbolas).
2.8.11.F: Identify whether systems of equations and inequalities are consistent or inconsistent.
2.8.11.G: Analyze and explain systems of equations, systems of inequalities and matrices.
2.8.11.H: Select and use an appropriate strategy to solve systems of equations and inequalities using graphing calculators, symbol manipulators, spreadsheets and other software.
2.8.11.J: Demonstrate the connection between algebraic equations and inequalities and the geometry of relations in the coordinate plane.
2.8.11.K: Select, justify and apply an appropriate technique to graph a linear function in two variables, including slope- intercept, x- and y-intercepts, graphing by transformations and the use of a graphing calculator.
2.8.11.L: Write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line.
2.8.11.N: Solve linear, quadratic and exponential equations both symbolically and graphically.
2.8.11.O: Determine the domain and range of a relation, given a graph or set of ordered pairs.
2.8.11.P: Analyze a relation to determine whether a direct or inverse variation exists and represent it algebraically and graphically.
2.8.11.Q: Represent functional relationships in tables, charts and graphs.
2.8.11.R: Create and interpret functional models.
2.8.11.S: Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic).
2.8.11.T: Analyze and categorize functions by their characteristics.
2.9.11.A: Construct geometric figures using dynamic geometry tools (e.g., Geometer's Sketchpad, Cabri Geometre).
2.9.11.B: Prove that two triangles or two polygons are congruent or similar using algebraic, coordinate and deductive proofs.
2.9.11.C: Identify and prove the properties of quadrilaterals involving opposite sides and angles, consecutive sides and angles and diagonals using deductive proofs.
2.9.11.D: Identify corresponding parts in congruent triangles to solve problems.
2.9.11.F: Use the properties of angles, arcs, chords, tangents and secants to solve problems involving circles.
2.9.11.H: Construct a geometric figure and its image using various transformations.
2.9.11.J: Analyze figures in terms of the kinds of symmetries they have.
2.10.11.A: Use graphing calculators to display periodic and circular functions; describe properties of the graphs.
2.10.11.B: Identify, create and solve practical problems involving right triangles using the trigonometric functions and the Pythagorean Theorem.
2.11.11: Concepts of Calculus
2.11.11.A: Determine maximum and minimum values of a function over a specified interval.
2.11.11.B: Interpret maximum and minimum values in problem situations.
2.11.11.C: Graph and interpret rates of growth/decay.
2.11.11.E: Estimate areas under curves using sequences of areas.
Correlation last revised: 11/13/2008