MTH 111A Corequisite Support MTH 111Z

Lab Hours: 3
Credits: 1

Focuses on the foundational skills and concepts needed to be persistent and successful in MTH 111Z (Precalculus I: Functions). Provides support in arithmetic, algebra, problem solving, technology, and study skills in an interactive setting.

Prerequisite: Placement into MTH 111Z with corequisite support or completion of algebra II in high school, or completion of MTH 070 or MTH 091 .
Corequisite: Requires concurrent enrollment in a specific section of MTH 111Z (MTH 111Z enrollment does not necessarily require concurrent enrollment in any section of MTH 111A).
Concurrent: MTH 111Z
Student Learning Outcomes:

Demonstrate relevant skills to effectively engage with the concepts and skills needed in MTH111Z.
Reflect on and improve their proficiency with the MTH111Z content.
Utilize study habits and learning strategies that promote success in MTH111Z.

Content Outline

Just-in-Time Skills and Concepts
- Number sets, number line, intervals, inequalities
- Communicating mathematics
- Problem Solving Strategies
- Arithmetic: fractions, decimals, percentages, signed integers, exponents, roots
- Graphing on the cartesian coordinate plane
- Lines: Slope, rate of change, table of values, intercepts, graphing, line of best fit, modeling
- Substituting and evaluating
- Order of operations
- Associative and distributive properties
- Solving equations:
  - One step and multiple step linear equations
  - One step and multiple step root/power equations
  - Quadratics by factoring
  - Absolute value equations
  - Solving equations by graphing
- Equation solving (e.g., algebraic, graphical, numerical approaches)
- Exponent rules
- Rational exponents
- Polynomials: Addition, subtraction, multiplication, GCF, factoring trinomials
- Technology/calculator skills
- Using graphs
- Interpreting results and judging reasonableness of results
- Functions and function notation
- Using variables to represent unknown or changing values
- Domain and range
- Other topics as needed
Supporting Skills and Learning Strategies
- Math specific study skills
- Test preparation and test taking skills
- Effective mathematical practices and mindsets
Guided Support with MTH 111 Content
- Function Basics
- Power Functions
- Polynomial Functions
- Rational Functions
- Exponential and Logarithmic Functions