| MATHEMATICAL SKILLS |
MAC 1105
|
MAC 1140
|
MGF 1106
|
STA 2023
|
Arithmetic Skills
|
| Adds and subtracts rational numbers |
X
|
X
|
X
|
X
|
| Multiplies and divides rational numbers |
X
|
X
|
X
|
X
|
| Adds and subtracts rational numbers in decimal |
X
|
X
|
X
|
X
|
| Multiplies and divides rational numbers in decimal
form |
X
|
X
|
X
|
X
|
| Calculates percent increase and percent decrease |
X
|
X
|
X
|
|
| Solves the sentence a% of b is c, where values for
two of the variables are given |
X
|
X
|
|
|
| Recognizes the meaning of exponents |
X
|
X
|
X
|
X
|
| Recognizes the role of the base number
in determining place value in the base-ten numeration system |
|
|
X
|
|
| Identifies equivalent forms of positive
rational numbers involving decimals, percents and fractions |
X
|
X
|
X
|
|
| Determines the order relation between
real numbers |
X
|
X
|
X
|
|
| Identifies a reasonable estimate of a
sum, average or product of numbers |
X
|
X
|
X
|
|
| Infers relations between numbers in general
by examining particular number pairs |
X
|
X
|
X
|
|
| Solves real-world problems which do not
require the use of variables and which do not involve percent |
|
|
X
|
|
| Solves real-world problems which do not
require the use of variables and which do require the use of percent |
|
|
X
|
|
| Solves problems that involve the structure
and logic of arithmetic |
X
|
X
|
X
|
|
Geometry and Measurement Skills
|
| Rounds measurements to the nearest given
unit of the measuring device used |
|
X
|
X
|
|
| Calculates distances |
X
|
X
|
X
|
|
| Calculates areas |
X
|
X
|
X
|
|
| Calculates volumes |
X
|
X
|
X
|
|
| Identifies relationships between angle
measure |
|
|
X
|
|
| Classifies simple plane figures by recognizing
their properties |
|
|
X
|
|
| Recognizes similar triangles and their
properties |
|
|
X
|
|
| Identifies appropriate units of measurement
for geometric objects |
X
|
X
|
X
|
|
| Infers formulas for measuring geometric
figures |
|
|
X
|
|
| Selects applicable formulas for computing
measures of geometric figures |
X
|
X
|
X
|
|
| Solves real-world problems involving
perimeters, areas, volumes of geometric figures |
X
|
X
|
X
|
|
| Solves real-world problems involving
the Pythagorean property |
X
|
X
|
X
|
|
Logical Reasoning
|
| Deduces facts of set inclusion or set
non-inclusion from a diagram |
|
|
X
|
|
| Identifies statements equivalent to the
negations of simple and compound statements |
|
|
X
|
|
| Determines equivalence or nonequivalence
of statements |
|
|
X
|
|
| Draws logical conclusions from data |
|
|
X
|
|
| Recognizes that an argument may not be
valid even though its conclusion is true |
|
|
X
|
|
| Recognizes valid reasoning patterns as
illustrated by valid arguments in everyday language |
|
|
X
|
|
| Selects applicable rules for transforming
statements without affecting their meaning |
|
|
X
|
|
| Draws logical conclusions when facts
warrant them |
|
|
X
|
|
Algebra Skills
|
| Adds and subtracts real numbers |
X
|
X
|
X
|
X
|
| Multiplies and divides real
numbers |
X
|
X
|
X
|
X
|
| Applies the order-of-operations agreement
to computations involving numbers and variables |
X
|
X
|
X
|
X
|
| Uses scientific notation in calculations
involving very large or very small measurements |
X
|
X
|
X
|
|
| Solves linear equations |
X
|
X
|
X
|
X
|
| Solves linear inequalities |
X
|
X
|
X
|
|
| Uses given formulas to compute results
when geometric measurements are not involved |
X
|
X
|
X
|
X
|
| Finds particular values of a function |
X
|
X
|
|
X
|
| Factors a quadratic expression |
X
|
X
|
|
|
| Finds the roots of a quadratic equation |
X
|
X
|
|
|
| Solves a system of two linear equations
in two unknowns |
X
|
X
|
|
|
| Uses properties of operations correctly |
X
|
X
|
X
|
X
|
| Determines whether a particular number
is among the solutions of a given equation or inequality |
X
|
X
|
X
|
|
| Recognizes statements and conditions
of proportionality and variation |
X
|
X
|
|
|
| Identifies regions of the coordinate
plans which correspond to specified conditions and vice versa |
X
|
X
|
|
|
| Uses applicable properties to select
equivalent equations and inequalities |
X
|
X
|
X
|
X
|
| Solves real-world problems involving
the use of variables aside from commonly used geometric formulas |
X
|
X
|
X
|
X
|
| Solves problems that involve the structure
and logic of algebra |
X
|
X
|
X
|
X
|
Statistics Skills, Including Probability
|
| Identifies information contained in bar,
line and circle graphs |
|
|
X
|
X
|
| Determines the mean, median and mode
of a set of numbers |
|
|
X
|
X
|
| Uses the fundamental counting principle |
|
|
X
|
X
|
| Recognizes properties and interrelationships
among the mean, median and mode in a variety of distributions |
|
|
X
|
X
|
| Chooses the most appropriate procedure
for selecting an unbiased sample from a target population |
|
|
X
|
X
|
| Identifies the probability of a specified
outcome in an experiment |
|
|
X
|
X
|
| Infers relations and makes accurate predictions
from studying statistical data |
|
|
X
|
X
|
| Interprets real-world problems involving
frequency and cumulative frequency tables |
|
|
X
|
X
|
| Solves real-world problems
involving probabilities |
|
|
X
|
X
|