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

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```									                                                                        December 2002

Charles City Community School
Trigs/Stats
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    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
subsystems
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
DA
of tables and graphs
Understands that the middle of a distribution may be misleading under
DA
certain circumstances
Determines probabilities using counting procedures, tables, trees, area
DA
models, and formulas for permutations and combinations
Compares experimental results with mathematical expectations of
DA
probabilities
Understands that the larger and more well-chosen a sample of
population is, the better it estimates the population summary statistics;
DA
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
DA
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
DA
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
algebra

MC/GF   CE    GE
Uses appropriate terminology and notation to define functions and their
DA
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
DA
variety of functions
Solves systems of equations and inequalities graphically and algebraically, and
DA
using matrices
Uses a variety of algebraic and graphical methods to solve polynomial
DA
equations with real and complex roots
Understands functional relationships for which the rate of change of one
DA
variable is dependent on how much there is of another variable
Represents real-world problems using algebraic functions and graphs of those
DA
functions

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