MAT-093 Objectives
MAT-093 Foundations of Mathematics
Course Description
Topics include solving applied problems with whole numbers, decimals and fractions; ratios and proportions; rates; percentages and applications in sales tax, interest, commissions, and discounts; determining numerical averages; exponents and square roots; measurement; and geometry. Technology is incorporated to facilitate problem solving. This course does not satisfy degree requirements. Course requires an additional lab hour. Upon completion of this course with a grade of C or better, students enroll in MAT-097 Foundations of Algebra. Credit hours: 3.0.
Learning Outcomes
- Solve real world applications involving whole numbers, fractions, and decimals
- Understand what fractions represent quantitatively
- Understand equivalencies between fractions, decimals, and percents
- Apply the concepts of ratio and proportion
- Apply the concept of percent to applications such as percent increase/decrease, discount, interest, commission, and sales tax.
- Apply the concepts of perimeter, area, and volume to basic geometric figures
- Find and interpret the mean of a distribution of numbers
Instructional Objectives
WHOLE NUMBERS
- Round whole numbers
- Solve word problems involving operations with whole numbers (with emphasis on geometry applications)
- Calculate powers of whole numbers and simplify expressions with exponents
- Compute square roots of perfect squares
- Perform computations according to the convention on order of operations
- Order whole numbers using the symbols =, < and >
- Identify factors and multiples of whole numbers
- Define and identify prime and composite numbers
- Express a whole number as a product of its prime factors
FRACTIONS - Identify and interpret: fraction, numerator, denominator, proper fraction, improper fraction, and mixed numbers
- Express improper fractions as mixed numbers
- Express mixed numbers as improper fractions
- Write fractions in simplest form
- Identify and find equivalent fractions
- Multiply and divide fractions and mixed numbers
- Add and subtract fractions and mixed numbers
- Simplify fraction expressions including complex fractions
- Compare the size of fractions using =, < and >
- Solve word problems involving fractions and mixed numbers
DECIMALS - Identify decimal place values
- Round decimal numbers
- Compare the size of decimals using the symbols =, < and >
- Add, subtract, multiply and divide decimal numbers
- Solve word problems involving decimals
- Convert fractions to decimals and decimals to fractions
PERCENTS - Express percent numbers as fractions and decimals
- Express decimals and fractions as percent numbers
- Find the amount when given percent and base
- Find the percent when given base and amount
- Find the base when given the percent and amount
- Solve applied problems involving sales tax, interest, commissions, and discounts
RATIO & PROPORTION - Set up and simplify ratios and rates
- Set up and solve proportions
- Solve word problems involving proportions
MEASUREMENTS & GEOMETRY - Solve problems involving measurements and geometry