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 baseten 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 realworld problems which do not
require the use of variables and which do not involve percent 


X


Solves realworld 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 realworld problems involving
perimeters, areas, volumes of geometric figures 
X

X

X


Solves realworld problems involving
the Pythagorean property 
X

X

X


Logical Reasoning

Deduces facts of set inclusion or set
noninclusion 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 orderofoperations 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 realworld 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 realworld problems involving
frequency and cumulative frequency tables 


X

X

Solves realworld problems
involving probabilities 


X

X
