About Course

This intensive, modular course is designed to equip students with the core mathematical skills and reasoning strategies required to excel on the Texas Success Initiative (TSI) Math exam. Through four focused units—Quantitative Reasoning, Algebraic Reasoning, Geometric & Spatial Reasoning, and Probabilistic & Statistical Reasoning—learners will build a deep conceptual understanding, develop problem-solving agility, and gain confidence applying math to real-world contexts. Each unit begins with a contextual overview of why these skills matter on the TSI and beyond, and breaks down the essential subtopics into clear, manageable lessons packed with practice opportunities, worked examples, and application scenarios. By the end of this course, students will not only be prepared to tackle every question type on the TSI Math test but also leave with strengthened analytical skills that serve as a foundation for college-level math.

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What Will You Learn?

  • Master proportional reasoning to solve ratio, rate, and percent problems with confidence
  • Translate real-world scenarios into linear models and interpret slope/intercept in context
  • Solve all varieties of equations and inequalities, including quadratic, radical, and exponential types
  • Apply geometric formulas to compute lengths, areas, and volumes of complex figures
  • Use right-triangle trigonometry for practical applications like height and distance problems
  • Collect, represent, and analyze data through charts, histograms, and box plots
  • Calculate mean, median, mode, and standard deviation to summarize data sets
  • Perform basic probability and counting strategies to assess risk and make predictions

Course Content

1. Quantitative Reasoning
Build a strong foundation in proportional thinking, percentage calculations, linear modeling, and unit analysis. This unit focuses on interpreting numerical relationships, converting between units, and understanding slopes and intercepts within real-life contexts—skills critical for solving rate, ratio, and linear-function problems on the TSI.

  • 1.1 Ratios, Rates & Proportions
  • 1.2 Percents & Applications
  • 1.3 Linear Expressions & Equations
  • 1.4 Unit Conversions & Slope Interpretation

2. Algebraic Reasoning
Develop fluency in solving linear and nonlinear equations, inequalities, and systems; manipulate polynomial and radical expressions; and work with exponential functions. Emphasis is placed on algebraic techniques, logical reasoning, and checking for extraneous solutions, all of which are fundamental to TSI question formats.

3. Geometric & Spatial Reasoning
Explore the properties and measurements of shapes, transformations, and trigonometric relationships in both two- and three-dimensional contexts. This unit covers plane geometry vocabulary, area and volume calculations, and right-triangle trigonometry, preparing students to visualize and solve geometry problems on the TSI.

Probabilistic & Statistical Reasoning
Introduce foundational statistics and probability concepts, from data classification and sampling methods to measures of central tendency and basic probability calculations. Students will learn to interpret graphs and make data-driven predictions, skills essential for the TSI’s data-analysis section.