Download College Algebra - Charles City Community School District

December 2002
Charles City Community School
College Algebra
I=Introduce, D = Develop, A=Access, M= Maintain
MC/GF = Multicultual Gender Fair Approaches; CE=Career Education; GE=Global Education
ITBS/ITED
Standard 1: Effectively uses a variety of strategies in the problem-solving process
MC/GF
Classifies problem-solving strategies or problem types by underlying
AM
general characteristics
AM Constructs and describes simple algorithms for solving problems that take
several steps
AM Writes and equation to represent a problem situation
AM Provides simple valid arguments as justification for solutions to specific
problems and for algorithms constructed for various purposes
CE
Standard 2: Understands and applies basic and advanced properties of concept of numbers
MC/GF CE
Understands the basic characteristics of the real-number system and its
AM
subsystems
DA Understands the basic characteristics of exponents
DA Has an understanding of the concept of inequalities
DA Understands the basic characteristics of roots
Standard 3: Uses basic and advanced procedures while performing the process of
Computation
MC/GF CE
DA Adds and subtracts, multiplies and divides algebraic expressions
DA Solves real-world problems involving roots and exponents
Uses rounding, inputs, and the types of operations to analyze the
AM reasonableness of answers derived from calculator, computer, and
pencil and paper computations
GE
GE
GE
Standard 4: Understands and applies basic and advanced properties of the concept of measurement
MC/GF CE
GE
M
Uses length, area, and volume appropriately in problem-solving
situations
Standard 5: Understands and applies basic and advanced properties of the concepts of geometry
MC/GF CE
GE
DA Solves real-world problems involving the Pythagorean relationship
DA Uses properties of lines to describe figures algebraically
December 2002
Standard 6: Understands and applies basic and advanced concepts of data analysis and probability
MC/GF CE
GE
D
D
DA
DA
DA
DA
M
D
Understands that a physical or mathematical model can be used to
estimate the probability of real-world events
Understands the basic measures of dispersion
Understands that the same set of data can be represented using a variety
of tables and graphs
Compares experimental results with mathematical expectations of
probabilities
Understands that the middle of a distribution may be misleading under
certain circumstances
Calculates measures of central tendency for complex sets of data and
analyzes the relative merits of those measures for the various data sets
Understands basic generalizations about the nature of graphs; the position
of any point on a surface can be described by two numbers; a graph
represents all the values that satisfy an equation; and the point at which
two graphs intersect represents the values that will satisfy the two
equations represented by the graphs
Determines probabilities using counting procedures, tables, trees, area
models, and formulas for permutations and combinations
Standard 7: Understands and applies basic and advanced properties of relationships, functions, and
algebra
MC/GF
Uses appropriate terminology and notation to define functions and
DA their properties, including domain, range, function composition,
and inverses
Compares and applies the numerical, symbolic, and graphical
DA
properties of a variety of functions
Uses a variety of algebraic and graphical methods to solve
DA
polynomial equations with real and complex roots
Represents real-world problems using algebraic functions and
DA
graphs of those functions
Understands the characteristics and uses of basic trigonometric
DA
functions
CE
GE