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Exam Overview
The 115 exam is a computer-administered test (CAT) taken at Pearson VUE test centers. All 100 questions appear in one continuous session, with questions from all six domains.
Key Facts About TExES Mathematics 4-8 (115)
| Feature | Details |
|---|---|
| Full name | TExES Mathematics 4-8 |
| Exam code | 115 |
| Certificate | Texas Mathematics: Grades 4-8 |
| Questions | 100 selected-response (some unscored pilot questions) |
| Appointment time | 5 hours (15 minutes tutorial and agreement, 4 hours 45 minutes testing) |
| Delivery | Computer-administered at Pearson VUE test centers |
| Calculator | On-screen scientific calculator (no personal calculators) |
| Reference | On-screen Definitions and Formulas page |
| Score scale | 100 to 300 |
| Passing score | 240 |
| Fee | $116 |
Domains and Weights
The official framework divides the exam into six domains and nineteen competencies.
TExES 115 Domains
| Domain | Weight | Competencies |
|---|---|---|
| I Number Concepts | 16% (about 16 questions) | 001 to 003 |
| II Patterns and Algebra | 21% (about 21 questions) | 004 to 007 |
| III Geometry and Measurement | 21% (about 21 questions) | 008 to 011 |
| IV Probability and Statistics | 16% (about 16 questions) | 012 to 014 |
| V Mathematical Processes and Perspectives | 10% (about 10 questions) | 015 and 016 |
| VI Mathematical Learning, Instruction and Assessment | 16% (about 16 questions) | 017 to 019 |
The Nineteen Competencies
TExES 115 Competencies
| Number | Competency |
|---|---|
| 001 | Number systems, quantity and representation |
| 002 | Number operations and computational algorithms |
| 003 | Number theory and numbers as models of real situations |
| 004 | Patterns, relations and algebraic reasoning |
| 005 | Linear functions |
| 006 | Nonlinear functions and relations |
| 007 | Conceptual foundations of calculus |
| 008 | Measurement as a process |
| 009 | Euclidean geometry |
| 010 | Two- and three-dimensional figures |
| 011 | Transformational and coordinate geometry |
| 012 | Exploring data graphically and numerically |
| 013 | Probability theory |
| 014 | Sampling and statistical inference |
| 015 | Mathematical reasoning and problem solving |
| 016 | Mathematical connections, communication and financial literacy |
| 017 | How students learn mathematics |
| 018 | Planning and implementing instruction using the TEKS |
| 019 | Assessment |
What Kinds of Questions to Expect
- Single-answer multiple choice with four choices: most of the exam.
- Select-all-that-apply questions with more choices: credit usually requires every correct choice and no incorrect ones. This guide practices that thinking with Roman-numeral questions ("I and III only").
- Questions with tables, graphs, box plots, scatter plots and described geometric figures.
- Classroom scenarios: a student's work or explanation, a lesson plan step or an assessment item, followed by a question about the misconception, the best next step or the best question to ask.
- Content reaches beyond grade 8. Expect quadratics with complex roots, exponential and rational functions, rates of change and area under a curve, normal distributions, confidence intervals and regression, because a middle school teacher must know where the mathematics leads.
The Calculator and the Definitions and Formulas Page
An on-screen scientific calculator, similar to a TI-30XS, is available for the whole exam. There is no graphing calculator, so you must be able to sketch and reason about graphs by hand.
The on-screen Definitions and Formulas page includes derivative notation; probability of unions, intersections and conditional probability; the imaginary unit; the inverse and determinant of a two-by-two matrix; compound interest; the greatest integer function; circumference; areas of triangles, rhombuses, trapezoids and circles; surface area of a sphere and lateral area of a cylinder; volumes of cylinders, cones, spheres and prisms; and the Laws of Sines and Cosines.
Common Trap: Many formulas are not on the page. Memorize the Pythagorean theorem, slope, distance and midpoint formulas, the quadratic formula, the vertex formula x = −b/(2a), arithmetic and geometric sequence rules, permutations and combinations, the area of rectangles and parallelograms, surface area of prisms and pyramids, the mean and standard deviation, and simple interest.
How the Exam Is Scored
Only scored questions count. Your raw score is converted to a scaled score from 100 to 300, and the passing score is 240. There is no penalty for guessing, so answer every question. Your score report shows your performance in each domain, which helps you plan a retake if you need one. You may retake the exam after 30 days, and Texas allows five total attempts unless TEA grants a waiver.
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