BASIC COLLEGE MATHEMATICS
OBJECTIVES TO BE MASTERED
Whole Numbers / Textbook Reference * /The student will be able to:
determine the place value of a specified digit in a whole number expressed in standard form. / 1.2
express a whole number in words, standard form, and expanded form. / 1.2
find the sum, difference, product, and quotient of whole numbers. / 1.3, 1.4, 1.6, 1.7
round a whole number to a specified place value and use rounding to estimate a sum, difference, product, or quotient. / 1.5
recognize that division by zero is undefined. / 1.7
simplify a number with a natural number exponent and a square root of a perfect square. / 1.9
simplify a whole number expression following the order of operations. / 1.9
apply the correct operation(s) with whole numbers when presented with an application. / 1.3 – 1.8
Fractions
The student will be able to:
write a fraction to describe the shaded part of a given figure. / 2.1change a mixed number to an improper fraction and an improper fraction to a mixed number. / 2.1
identify the prime and composite numbers given a set of whole numbers. / 2.2
find the prime factorization of a whole number. / 2.2
list all factors of a composite number using divisibility rules. / 2.2
reduce a fraction to simplest (lowest) form. / 2.3
find the product and quotient of two or more proper and improper fractions. / 2.4, 2.5
find the sum and difference of two proper and improper fractions with the same denominator. / 3.1
determine the least common multiple of two or more whole numbers using prime factorization. / 3.2
find the sum and difference of two proper and improper fractions with different denominators. / 3.3
compare two proper or improper fractions using an equal sign or inequality symbol. / 3.5
simplify a numerical expression containing proper and improper fractions following the order of operations. / 3.5
apply the correct operation(s) with proper or improper fractions when presented with an application. / 2.4, 2.5, 3.3, 3.6
Decimals
The student will be able to:
determine the place value of a specified digit in a decimal expressed in standard form. / 4.1express a decimal in words, standard form, and as a fraction. / 4.1
express a fraction as a decimal. / 4.1, 4.6
round a decimal in standard form to a specified place value. / 4.2
compare two decimals using an equal sign or inequality symbol. / 4.2
find the sum, difference, product, and quotient of two or more decimals. / 4.3, 4.4, 4.5
simplify a numerical expression containing decimals following the order of operations. / 4.5
apply the correct operation(s) with decimals when presented with an application. / 4.3, 4.4, 4.5
Ratios
The student will be able to:
represent a ratio as a fraction in simplest (lowest) form. / 5.1convert a stated ratio to a unit rate or a unit price. / 5.2
determine if a proportion is true using diagonal products. / 5.3
write a sentence as a proportion. / 5.3
find an unknown value in a proportion containing whole numbers using diagonal products. / 5.3
Percents
The student will be able to:
write a percent to express a ratio of two numbers. / 6.1
represent a percent as a decimal and a decimal as a percent. / 6.1
represent a fraction as a percent and a percent as a fraction. / 6.2
Geometry
The student will be able to:
correctly identify a line, ray, segment, and angle given a group of figures. / 8.1
classify an angle as acute, right, obtuse, or straight. / 8.1
find the complement or supplement of a given angle measure. / 8.1
apply the concepts of vertical and adjacent angles to find a missing angle measure. / 8.1
find an angle measure applying the concepts of corresponding angles and alternate interior angles to a pair of parallel lines cut by a transversal. / 8.1
classify a polygon by its number of sides. / 8.2
classify a triangle as equilateral, isosceles, or scalene. / 8.2
find the measure of an angle of a triangle given information of the other two. / 8.2
calculate the perimeter and area of a rectangle, square, parallelogram, trapezoid, and triangle. / 8.3, 8.4, throughout the text
identify the radius and diameter of a circle. / 8.2, throughout the text
calculate the circumference and area of a circle and state the answer in exact form and an answer approximated using 3.14 with the correct units. / 8.3, 8.4, throughout the text
set up a proportion to find a missing length when presented with two similar triangles. / 8.7, 5.3
apply the correct geometric formula(s) when presented with an application and give the exact answer and as an answer approximated using 3.14 with the correct units. / Throughout
the text
Statistics
The student will be able to:
interpret information presented in the form of a table, bar graph, pictograph, line graph and circle graph. / 9.1, 9.2, throughout
the text
find the mean, weighted mean, median, and mode of a list of numbers. / 9.3
Signed Numbers
The student will be able to:
graph a signed number on a number line. / 10.1
compare two signed numbers using an equal sign or inequality symbol. / 10.1
find the absolute value of a rational number. / 10.1
find the additive inverse of a rational number. / 10.1, 10.3
find the sum, difference, product, and quotient of two or more signed numbers. / 10.2, 10.3, 10.4
simplify a numerical expression containing signed numbers following the order of operations. / 10.5
evaluate an algebraic expression given a specified value for the variable(s). / 11.1
use the distributive property to multiply a sum or difference by a rational number. / 11.1
simplify an algebraic expression containing like and unlike terms following the order of operations. / 11.1
* Textbook Ref: Basic College Mathematics, 3/ed, Martin-Gay Page 1 of 2
Basic CM Objectives-MartinGay(3e)-2012 version.doc