MATH 0050 - Fundamentals of Mathematics

Credit Hours: 3.00

Objectives: Students will perform the following without the use of a calculator:

1. Identify, apply and create numeric examples of the properties of addition and multiplication.
2. Rewrite, simplify and/or perform arithmetic operations on whole numbers and integers.
3. Evaluate expressions containing exponents.
4. Use the order of operations.

Outcome 2: Upon completion of this course, the student will make the transition from arithmetic to algebra.

Objectives: Students will perform the following without the use of a calculator:

1. Evaluate algebraic expressions given replacement values.
2. Translate phrases into variable expressions.

Outcome 3: Upon completion of this course, the student will be able to manipulate and use fractions, mixed numbers and decimals.

Objectives: Students will perform the following without the use of a calculator:

1. Rewrite, simplify and perform arithmetic operations on fractions and decimals.
2. Solve problems containing fractions, decimals and mixed numbers.
3. Write fractions as decimals and decimals as fractions.
4. Find the square root of a number.

Outcome 4: Upon completion of this course, the student will be able to demonstrate a basic working knowledge of algebraic expressions and equations.

Objectives: Students will perform the following without the use of a calculator:

1. Apply the properties of addition and multiplication to simplify or evaluate basic algebraic expressions.
2. Solve simple linear equations in one variable.
3. Write sentences as equations.

Outcome 5: Upon completion of this course, the student will be able to demonstrate a basic working knowledge of ratio, proportion, and measurement.

Objectives: Students will perform the following without the use of a calculator:

1. Write ratios as fractions and use them as a means for measurement.
2. Convert between the English and Metric Systems.
3. Know the meaning of proportion, write sentences as proportions, and solve simple proportion problems.

Outcome 6: Upon completion of this course, the student will be able to solve basic percent problems.

Objectives: Students will perform the following without the use of a calculator:

1. Convert between percents, decimals and fractions.
2. Solve simple percent problems.
3. Solve applications involving percent (sales tax, commission, percent increase or decrease, discount, interest).

Outcome 7: Upon completion of this course, the student will be able to demonstrate a basic knowledge of geometry.

Objectives: Students will perform the following without the use of a calculator:

1. Find perimeters, areas, and volumes of simple geometric figures.
2. Use the Pythagorean theorem to find the missing side of a right triangle.
3. Find the area of a triangle, circumference and area of a circle, and volume of a sphere.

1. Whole Numbers
   1. Properties and Facts of Addition and Multiplication
   2. Order of Operations
2. Algebra
   1. Operations on Integers
   2. Algebraic Expressions
   3. Properties of Exponents
   4. Operations on Polynomials
3. Fractions
   1. Properties of Fractions
   2. Operations with Fractions; Applications; Area of a Triangle
   3. Operations with Mixed Numerals
   4. Complex Fractions
4. Equations
   1. Properties of Equality
   2. Linear Equations in One Variable; Applications
   3. Evaluating Formulas
5. Decimals
   1. Operations with Decimals
   2. Circumference and Area of a Circle; Volume of a Sphere
   3. Square Roots and the Pythagorean Theorem
   4. Simplifying Square Roots
6. Ratio, Proportion, and Measurement
   1. Ratios and Their Application to Measurement: Part I
   2. Ratios and Their Application to Measurement: Part II
   3. Conversion Between the English and Metric Systems
   4. Proportions and Their Applications
7. Percent
   1. Percents, Decimals and Fractions: Basic Percent Problems
   2. General Applications of Percent
   3. Sales Tax and Commission
   4. Percent Increase or Decrease; Discount; Interest
8. Geometry
   1. Perimeter, Area and Volume of Simple Geometric Figures