Mathematical
Skills 
MAC 1105

MAC 1140

MGF 1106

STA 2023


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 form 
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



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 measures 


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



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



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


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
