LINEAR

• Prepare a mathematical analysis of a problem modeled by a linear function.

• Solve linear equations.

• Understand the concept of inequalities.

• Solve, graph, and interpret linear inequalities.

• Model and solve systems of two equations or inequalities.

• Understand what is meant by a solution to a system of equations or inequalities.

• Use systems of equations or inequalities to solve real-world problems.

• Connect graphical, tabular, and algebraic representations.

EXPONENTIAL/LOGARITHMIC

• Define and identify exponential and logarithmic functions.

• Model exponential and logarithmic functions algebraically and graphically.

• Understand the relationship between exponential and logarithmic functions.

• Compare basic properties of linear and exponential functions.

QUADRATICS

• Understand the relationship between the symbolic and graphical representations for quadratic functions.

• Transform quadratic functions graphically and algebraically.

• Define quadratic equations.

• Model quadratic equations algebraically and graphically.

• Solve quadratic equations.

• Factor quadratic equations.

RADICAL/COMPLEX NUMBERS

• Simplify expressions involving radicals.

• Solve equations involving radicals.

• Solve quadratic equations with a negative discriminant.

• Define a complex number.

• Perform arithmetic operations with complex numbers.

HIGHER ORDER POLYNOMIALS

• Define and identify a polynomial function and the family of polynomial functions

• Model and graph situations involving polynomial functions.

• Find the zeros of polynomial functions.

• Add and subtract polynomial expressions.

RATIONAL

• Identify and describe equations for absolute value functions, piecewise linear functions, step functions, rational functions, and logistic functions.

• Graph and write equations for absolute value functions, piecewise linear functions, step functions, rational functions, and logistic functions.

• Identify and classify discontinuity in functions.

TRANSFORMATION

• Differentiate between relations and functions.

• Define inverse and identity functions.

• Determine whether a function is one-to-one.

• Determine the inverses of linear, power, exponential, and rational functions.

• Transform functions.

CONIC SECTIONS

• Define each conic section algebraically as a locus of points.

• Use transformations to generalize each equation.

• Define and identify key components such as the center, foci, vertices, covertices, major and minor axes, directrix, axis of symmetry, and asymptotes.

• Write and solve systems of linear and quadratic equations.

• Write and solve systems of linear and exponential equations.

• Model problem situations with systems of linear equations.

Alg2 Topics

page revision: 3, last edited: 29 Sep 2008 20:25