## MTH 3 - Bundle 1-3 - Operations with Fractions, Decimals, and Percents and Algebra Basics at Piedmont Virginia Community College

### Course Description

Effective: 2017-08-01

Includes operations and problem solving with proper fractions, improper fractions, and mixed numbers without the use of a calculator; operations and problem solving with positive decimals and percents; basic operations with algebraic expressions and solving simple algebraic equations using signed numbers. Emphasizes applications and includes U. S. customary and metric units of measure. Credit is not applicable toward graduation.

Lecture 3 hours. Total 3 hours per week.

3 credits

### General Course Purpose

To prepare students for successful entry into credit mathematics courses as well as other credit courses requiring basic math competencies as prerequisites.

### Course Prerequisites/Corequisites

Prerequisites: Qualifying placement score

### Course Objectives

- Operations with Fractions
- Identify, write and graph fractions and mixed numbers.
- Represent information with fractions and mixed numbers.
- Express parts of a whole using fraction notation.
- Convert between improper fractions and mixed numbers.
- List the factors of a number.
- Find the prime factorization of a given number.
- Write equivalent fractions.
- Write fractions in simplest form.
- Multiply and divide fractions.
- Express repeated factors using exponents.
- Find reciprocals.
- Add and subtract fractions with like and unlike denominators.
- Find the least common multiple (LCM) of two or more whole numbers.
- Find the least common denominator (LCD) of two or more fractions.
- Simplify expressions involving fractions using order of operation.
- Add, subtract, multiply, and divide mixed numbers.
- Using U.S. Customary Units of Measure to solve application problems.
- Operations with Decimals and Percents
- Convert decimals between standard notation and word notation.
- Identify place values in decimals.
- Round decimals to a specific place value.
- Add, subtract, multiply and divide decimals.
- Estimate sums, differences, products, and quotients with decimals.
- Demonstrate the relationship among fractions, decimals, and percents.
- Convert among fractions, decimals, and percents.
- Order a list of fractions and decimals from smallest to largest.
- Order of Operations: Simplify expressions using order of operations.
- Write parts of a whole using percent notation.
- Solve percent problems using proportions
- Calculate all values in the basic percent problem (percent, amount /part, and base).
- Calculate percent increase and percent decrease.
- Read and interpret information from graphs (bar, line, pie).
- Calculate the percentage denoted by a pie graph.
- Convert within and between the U.S. and metric systems.
- Solve application problems using U.S. customary and metric units of measurement.
- Convert units of time.
- Convert between Fahrenheit and Celsius temperatures.
- Algebra Basics
- Classify real numbers.
- Determine the absolute value of a number.
- Find the principal square root of a perfect square.
- Add, subtract, multiply, and divide integers.
- Express repeated factors using exponents.
- Demonstrate proper use of exponents.
- Evaluate powers of numbers.
- Simplify numeric expressions using the order of operations.
- Identify the properties of real numbers (Commutative, Associative, Distributive, Identity and Inverse Properties).
- Simplify an algebraic expression by combining like terms.
- Verify solutions to equations
- Translate solutions into equations
- Solve equations using the Addition and Multiplication Properties.
- Solve one-step equations using rational numbers.
- Translate word statements into percent equations
- Solve application problems including finding perimeter, area and volume and calculate sales tax or simple interest.
- Convert between integer powers of 10 and equivalent decimal numbers.
- Convert numbers between scientific notation and standard notation.

### Major Topics to be Included

- Fractions
- Decimals
- Percents
- Algebra Basics