Charles City Community School TrigsStats I=Introduce, D = Develop, by ypy11747


									                                                                        December 2002

                                  Charles City Community School
                          I=Introduce, D = Develop, A=Access, M= Maintain
      MC/GF = Multicultual Gender Fair Approaches; CE=Career Education; GE=Global Education

Standard 1: Effectively uses a variety of strategies in the problem-solving process
                                                                               MC/GF    CE       GE
AM Classifies problem-solving strategies or problem types by underlying
     general characteristics
AM Constructs and describes simple algorithms for solving problems that take
     several steps
AM Writes and equation to represent a problem situation

Standard 2: Understands and applies basic and advanced properties of concept of numbers
                                                                            MC/GF CE             GE
AM Understands the basic characteristics of the real-number system and its
AM Understands the basic characteristics of roots
AM Understands the basic characteristics of exponents
AM Has an understanding of the concept of inequalities

Standard 3: Uses basic and advanced procedures while performing the process of computation
                                                                             MC/GF CE              GE
AM Understands how to manipulate equations to solve algebraic equations
DA Uses rounding, inputs, and the types of operations to analyze the
     reasonableness of answers derived from calculator, computer, and pencil
     and paper computations

Standard 4: Understands and applies basic and advanced properties of the concept of measurement
                                                                            MC/GF CE          GE

AM Has a basic understanding of the concept of velocity, acceleration, other
   unit rates and how they are measured
 D Determines precision and accuracy of measurements
DA Understands that scale drawings can help one measure distances and angles
   that are inconvenient to measure directly

Standard 5: Understands and applies basic and advanced properties of the concepts of geometry
                                                                                            MC/GF CE GE
 A Perform transformations of basic steps
 A Describes relationship in geometric terms
 A Solves real
 A Uses geometric models, diagrams, and graphs to solve real
DA Uses coordinates and vectors to represent geometric figures and properties algebraically
                                                                           December 2002

Standard 6: Understands and applies basic and advanced concepts of data analysis and probability

                                                                                MC/GF      CE        GE
DA Understands the basic measures of dispersion
   Understands that the same set of data can be represented using a variety
   of tables and graphs
   Understands that the middle of a distribution may be misleading under
   certain circumstances
   Determines probabilities using counting procedures, tables, trees, area
   models, and formulas for permutations and combinations
   Compares experimental results with mathematical expectations of
   Understands that the larger and more well-chosen a sample of
   population is, the better it estimates the population summary statistics;
   for a well-chosen sample is much more important than the size of a
   population; to avoid bias, samples are selected by some random system
   Understands that a physical or mathematical model can be used to
   estimate the probability of real-world events
DA Designs and carries out statistical experiments
   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
DA 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

Standard 7: Understands and applies basic and advanced properties of relationships, functions, and

                                                                                        MC/GF   CE    GE
      Uses appropriate terminology and notation to define functions and their
      properties, including domain, range, function composition, and inverses
DA    Understands the characteristics and uses of basic trigonometric functions
      Compares and applies the numerical, symbolic, and graphical properties of a
      variety of functions
      Solves systems of equations and inequalities graphically and algebraically, and
      using matrices
      Uses a variety of algebraic and graphical methods to solve polynomial
      equations with real and complex roots
      Understands functional relationships for which the rate of change of one
      variable is dependent on how much there is of another variable
      Represents real-world problems using algebraic functions and graphs of those

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