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Categories:: 2.8.11. Algebra and Functions
Statements:
A. Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically.
B. Give examples of patterns that occur in data from other disciplines.
C. Use patterns, sequences and series to solve routine and non-routine problems.
D. Formulate expressions, equations, inequalities, systems of equations, systems of inequalities and matrices to model routine and non-routine problem situations.
E. Use equations to represent curves (e.g., lines, circles, ellipses, parabolas, hyperbolas).
F. Identify whether systems of equations and inequalities are consistent or inconsistent.
G. Analyze and explain systems of equations, systems of inequalities and matrices.
H. Select and use an appropriate strategy to solve systems of equations and inequalities using graphing calculators, symbol manipulators, spreadsheets and other software.
I. Use matrices to organize and manipulate data, including matrix addition, subtraction, multiplication and scalar multiplication.
J. Demonstrate the connection between algebraic equations and inequalities and the geometry of relations in the coordinate plane.
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.
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.
M. Given a set of data points, write an equation for a line of best fit.
N. Solve linear, quadratic and exponential equations both symbolically and graphically.
O. Determine the domain and range of a relation, given a graph or set of ordered pairs.
P. Analyze a relation to determine whether a direct or inverse variation exists and represent it algebraically and graphically.
Q. Represent functional relationships in tables, charts and graphs.
R. Create and interpret functional models.
S. Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic).
T. Analyze and categorize functions by their characteristics.