MAT 090 - Foundations for College Mathematics I
Arithmetic of whole numbers, fractions, decimals and signed numbers. Percent, ratio and proportion. Measurement, metric units and basic geometric concepts. Language of algebra and solving simple equations. Descriptive statistics. Estimation, problem solving, critical thinking, writing and communication skills are developed in group activities. This course is designed to provide the skills necessary for students to successfully complete MAT 092, MAT 113.
4 Class Hours
Learning Outcomes of the Course:
MAT 090 Objectives
Upon successful completion of this course the student will be able to:
Perform skills in the following categories: Arithmetic, Basic Algebra, Geometry, Problem Solving and Estimation.
Note: Throughout the course the students are expected to solve applied problems related to the topics of the course.
1. Add, subtract, multiply, and divide whole numbers, fractions, decimals.
2. Write fractions in equivalent forms.
3. Convert between decimals, fractions and percents (including rounding).
4. Define whole number exponents and evaluate numerical expressions with whole numbers exponents.
5. Find the prime factorization of a number.
6. Recognize, use and understand the commutative, the associative, and the distributive laws of real numbers.
7. Know and use order of operations effectively.
8. Find the mean, median, mode, and range for a data set and understand their meaning.
9. Identify polygons, classify angles, and measure angles using a protractor.
10. Use a ruler to measure lengths in both English and Metric units.
11. Find perimeter, area and volume of various geometric objects.
12. Use and understand the Pythagorean Theorem, similarity and congruence.
13. Combine like terms for basic linear algebraic expressions.
14. Solve and check basic linear equations.
15. Formulate and solve applications with whole numbers and integers.
16. Solve ratio and proportion application problems.
17. Solve percent application problems.
18. Formulate and solve problems involving linear equations.
19. Solve application problems involving both English and Metric measurement conversions.
20. Make estimates by developing a sense of relative number size.
21. Construct and interpret graphs and charts with appropriate scales.
In the context of the course objectives listed above, upon successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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