# BASIC COLLEGE MATHEMATICS OBJECTIVES TO BE MASTERED

```BASIC COLLEGE MATHEMATICS
OBJECTIVES TO BE MASTERED
Textbook
Reference *
Whole Numbers
The student will be able to:
determine the place value of a specified digit in a whole number expressed in standard form.
express a whole number in words, standard form, and expanded form.
find the sum, difference, product, and quotient of whole numbers.
round a whole number to a specified place value and use rounding to estimate a sum, difference, product,
or quotient.
recognize that division by zero is undefined.
simplify a number with a natural number exponent and a square root of a perfect square.
simplify a whole number expression following the order of operations.
apply the correct operation(s) with whole numbers when presented with an application.
Fractions
The student will be able to:
write a fraction to describe the shaded part of a given figure.
change a mixed number to an improper fraction and an improper fraction to a mixed number.
identify the prime and composite numbers given a set of whole numbers.
find the prime factorization of a whole number.
list all factors of a composite number using divisibility rules.
reduce a fraction to simplest (lowest) form.
find the product and quotient of two or more proper and improper fractions.
find the sum and difference of two proper and improper fractions with the same denominator.
determine the least common multiple of two or more whole numbers using prime factorization.
find the sum and difference of two proper and improper fractions with different denominators.
compare two proper or improper fractions using an equal sign or inequality symbol.
simplify a numerical expression containing proper and improper fractions following the order of
operations.
apply the correct operation(s) with proper or improper fractions when presented with an application.
Decimals
The student will be able to:
determine the place value of a specified digit in a decimal expressed in standard form.
express a decimal in words, standard form, and as a fraction.
express a fraction as a decimal.
round a decimal in standard form to a specified place value.
compare two decimals using an equal sign or inequality symbol.
find the sum, difference, product, and quotient of two or more decimals.
simplify a numerical expression containing decimals following the order of operations.
apply the correct operation(s) with decimals when presented with an application.
Ratios
The student will be able to:
represent a ratio as a fraction in simplest (lowest) form.
convert a stated ratio to a unit rate or a unit price.
determine if a proportion is true using diagonal products.
write a sentence as a proportion.
find an unknown value in a proportion containing whole numbers using diagonal products.
* Textbook Ref: Basic College Mathematics, 3/ed, Martin-Gay
1.2
1.2
1.3, 1.4, 1.6, 1.7
1.5
1.7
1.9
1.9
1.3 – 1.8
2.1
2.1
2.2
2.2
2.2
2.3
2.4, 2.5
3.1
3.2
3.3
3.5
3.5
2.4, 2.5, 3.3, 3.6
4.1
4.1
4.1, 4.6
4.2
4.2
4.3, 4.4, 4.5
4.5
4.3, 4.4, 4.5
Page 1 of 2
219508625
5.1
5.2
5.3
5.3
5.3
Percents
The student will be able to:
write a percent to express a ratio of two numbers.
represent a percent as a decimal and a decimal as a percent.
represent a fraction as a percent and a percent as a fraction.
Geometry
The student will be able to:
correctly identify a line, ray, segment, and angle given a group of figures.
classify an angle as acute, right, obtuse, or straight.
find the complement or supplement of a given angle measure.
apply the concepts of vertical and adjacent angles to find a missing angle measure.
find an angle measure applying the concepts of corresponding angles and alternate interior angles to a pair
of parallel lines cut by a transversal.
classify a polygon by its number of sides.
classify a triangle as equilateral, isosceles, or scalene.
find the measure of an angle of a triangle given information of the other two.
calculate the perimeter and area of a rectangle, square, parallelogram, trapezoid, and triangle.
identify the radius and diameter of a circle.
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.
set up a proportion to find a missing length when presented with two similar triangles.
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.
Statistics
The student will be able to:
interpret information presented in the form of a table, bar graph, pictograph, line graph and circle graph.
find the mean, weighted mean, median, and mode of a list of numbers.
Signed Numbers
The student will be able to:
graph a signed number on a number line.
compare two signed numbers using an equal sign or inequality symbol.
find the absolute value of a rational number.
find the additive inverse of a rational number.
find the sum, difference, product, and quotient of two or more signed numbers.
simplify a numerical expression containing signed numbers following the order of operations.
evaluate an algebraic expression given a specified value for the variable(s).
use the distributive property to multiply a sum or difference by a rational number.
simplify an algebraic expression containing like and unlike terms following the order of operations.
* Textbook Ref: Basic College Mathematics, 3/ed, Martin-Gay
6.1
6.1
6.2
8.1
8.1
8.1
8.1
8.1
8.2
8.2
8.2
8.3, 8.4,
throughout the
text
8.2, throughout
the text
8.3, 8.4,
throughout the
text
8.7, 5.3
Throughout
the text
9.1, 9.2,
throughout
the text
9.3
10.1
10.1
10.1
10.1, 10.3
10.2, 10.3,
10.4
10.5
11.1
11.1
11.1
Page 2 of 2
219508625
```