MTH 098 Quantitative Literacy

Lecture Hours: 5
Credits: 5

An intensive study of the quantitative, algebraic, and problem-solving skills necessary to be successful in non-mathematical fields of study. Focuses on developing mathematical maturity through problem solving, critical thinking, and communicating about mathematics. Integrates numeracy, proportional reasoning, algebraic reasoning, and functions through Cooperative Learning Experience.

Prerequisite: Placement into MTH 070; or completion of MTH 060 with a grade of C or better; or equivalent course as determined by instructor.
Student Learning Outcomes:

Apply the concepts of numeracy in multiple contexts.
Recognize proportional relationships and use proportional reasoning to solve problems.
Use the language of algebra to write and interpret relationships involving variables, and to solve problems.
Represent algebraic concepts using graphs, tables, equations and words.
Develop the ability to think critically and solve problems in a variety of contexts using the tools of mathematics including technology.
Communicate Mathematics Effectively.

Content Outline

Numeracy
- Estimating-knowing how and when to estimate results, to solve problems and to detect errors
- Interpreting data and measures of central tendency
- Using measures of central tendency
- Developing calculator (hand-held and online) skills
Proportional Reasoning
- Interpreting proportional relationships from verbal and numeric representations
- Comparing proportional relationships
- Applying quantitative reasoning strategies to solve real-world problems involving proportionality
- Using similarity to solve applications
- Using dimensional analysis to convert units of measure
- Writing and solving proportions
Algebraic Reasoning
- Use of variables
- Understanding effects of variables in algebraic relationships
- Constructing and using equations or inequalities
- Writing and simplifying algebraic expressions by using the distributive property, combining like terms, and/or factoring the greatest common factor
- Applying Pythagorean Theorem
Functions
- Translating problems into a mathematical representation and vice versa including linear, exponential, and quadratic functions
- Understanding behavior of common types of functions using expressions, graphs, and tables
- Identifying linear, quadratic and exponential models
- Analyzing the characteristics of functions including slope, points, intercepts, inputs and outputs
- Using appropriate terms and units to describe rate of change
- Understanding and applying mathematical models
- Applying formulas to solve problems related to perimeter, area, and volume
- Determining the order of operations including exponents
- Solving a formula for one of its variables
- Interpreting slope as a rate of change