Portland Community College | Portland, Oregon

Upon successful completion of the course, students should be able to:

1. Solve mathematical problems that assist with MTH 110 concepts and techniques.
2. Implement strategies, including reflection, for personal progress over time in MTH 110.
3. Develop and follow a personalized study plan for MTH 110 that includes specific learning strategies (e.g., time management, active note-taking, participation in study groups) to enhance persistence and academic success.
4. Employ systematic strategies to analyze and solve word and application problems successfully.

MTH 110Q is explicitly concurrent with MTH 110 and exists to provide just-in-time instruction, rehearse, and scaffold the foundational algebraic and academic skills students need to persist and be successful in MTH 110. Instruction is responsive to current MTH 110 content and student needs.

Such activities include:

• Study skills mini-lessons and guided discussions focused on success in algebra-intensive courses
• In-class exercises that reinforce mathematical processes and concepts introduced in MTH 110
• Just-in-time instructional support for prerequisite and foundational algebra topics
• Group and peer-based problem-solving group activities and mini-lessons aligned with MTH 110 assignments

All activities emphasize active engagement with MTH 110 content. Instruction prioritizes sense-making, practice, problem solving, collaboration, reflection, and timely feedback. Academic skills are integrated directly with mathematical content rather than taught in isolation.

Individual and group assessments may include:

• Written reflections and learning journals
• Portfolio
• In-class work and collaborative problem solving
• Assignments to practice MTH 110 and prerequisite topics
• Revisions of mathematical work
• Study plans and time-management analyses
• Discussions and self-assessments focused on persistence and growth

Just-in-Time Algebraic Skills and Concepts as Needed to Support MTH 110

• Prerequisite arithmetic and algebra skills
• Mathematical vocabulary and symbolic language
• Solving linear equations and inequalities
• Introduction and reinforcement of function notation and interpretation
• Factoring foundations and algebraic structure
• Working with quadratic, rational, and radical expressions
• Evaluating formulas and expressions
• Graphing fundamentals and interpreting graphs
• Using technology and graphing tools to support understanding
• Interpreting results and judging the reasonableness of solutions

• Translating word and application problems into algebraic models
• Written presentation of mathematics
• Identifying relevant information and variables
• Communicating mathematical reasoning verbally, symbolically, and graphically
• Checking and revising solutions

• Math-specific study strategies for algebra and precalculus preparation
• Active note-taking and engagement strategies
• Test-taking strategies for problem-based assessments
• Time management and planning for multi-step assignments
• Growth mindset and productive struggle in mathematics

• Reinforcement of current MTH 110 topics through targeted practice
• Support in algebraic reasoning and structure
• Additional topics as covered in MTH 110, based on student needs