Course Summary
Credit Type:
Self-paced (up to 120 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 quantitative reasoning


The course objective is to develop deep, practical quantitative reasoning skills, as well as the problem solving mindsets and confidence to effectively apply mathematical reasoning in a variety of contexts.

Learning Outcomes:

  • Perform difficult mental calculations and estimations with a strong intuitive sense of number relationships, scale and magnitude
  • Interpret and analyze complex units and how they relate to problem solving, and understand and convert common units in English and metric systems
  • Apply a variety of mathematical concepts in real-world contexts, including extract data from complex information sources and graphs, analyze and predict from data, perform financial calculations including interest, create business invoices, etc.
  • Solve complex problems, including plan solutions to complex multi-step problems and perform operations using multiple logical operators
  • Extract relevant information from complex texts, proofread work for grammatical mistakes, perform inferences in complex text, and construct hierarchies of information.
  • extract relevant information from complex contexts, and proofread work for grammatical mistakes, perform inferences in complex text, construct hierarchies of information

General Topics:

  • • Conversion and comparison of fractions, decimals and percents, including reducing fractions • Number lines and decimals, including 10ths, 100ths, and 1000ths • Mental arithmetic that spans a large range of scale, from hundredths to millions • Estimation • Advanced operations with percents, including complements and ratios • English and metric length, weight and volume units, and conversions between units • Unit requirements, complex units, and rates • Rulers and meters and interpolation • Business mathematics, including invoices, taxes and discounts, revenue, expenses, profit, etc. • Time calculations, including differences between times, schedules • Calculation of averages and use for predictions • Areas and perimeters of complex shapes, including deconstructing complex figures to calculate areas • Person-hours and advanced unit calculations • Rounding, including when to round up, round down, and round to nearest • Interpretation of graphical information (such as maxima, minima, equivalence, trends, and more) • Comparing and predicting from complex information sources such as tables, graphs, and diagrams • Calculation of error rates from production data, and use of these to predict future performance • Financial calculations, including compound interest, predictions, and comparing financial products • Problem solving strategies, including working forwards or backwards through problems, chunking, sequencing, etc. • Determination of relevant information for answering particular questions, and to communicate about problems • Logical operation, including missing information, and determining whether there is sufficient information. • Grammatical errors and proofreading paragraphs for grammatical mistakes • Information extraction from complex text, including inferences and connecting information, scanning, and hierarchical structures of text and information in tables, graphs, and chapter titles and headings
Instruction & Assessment

Instructional Strategies:

  • Computer Based Training

Methods of Assessment:

  • Other
  • mastery assessment model

Minimum Passing Score:

Supplemental Materials