1.1 TExES 115 Exam Format, Scoring, Testing Tools & Certification Path

TExES Mathematics 4–8 (115): Format, Scoring, Testing Tools & Certification Path

The Texas Examinations of Educator Standards (TExES) Mathematics 4–8 (115) exam is the content exam for the Texas Mathematics: Grades 4–8 certificate. The Texas Education Agency (TEA) and the State Board for Educator Certification (SBEC) oversee the program, and Pearson administers it. Texas Administrative Code §230.21 requires candidates to pass the certification examinations that apply to the certificate they are seeking. The official preparation manual describes the purpose of 115 plainly: it checks whether an examinee has the knowledge and skills that an entry-level mathematics teacher in grades 4–8 in Texas public schools must have.

Knowing the format matters because it shapes how you study. The content reaches from grade 4 place value up to complex numbers, logarithmic and trigonometric functions, the binomial and normal distributions, and informal calculus. About 16% of the framework is pedagogy: how students learn mathematics, how to plan instruction, and how to assess it.

---

Official Exam Facts (Pearson Test Page and Preparation Manual)

The Six Domains and 19 Competencies

On a 100-question form, those percentages work out to about 16, 21, 21, 16, 10 and 16 questions. Patterns and Algebra and Geometry and Measurement together make up 42% of the exam. Pedagogy (Domain VI) weighs as much as Number Concepts, so do not treat it as an afterthought.

---

What the Testing Tools Do (and Do Not) Give You

The on-screen scientific calculator

Pearson's calculator guide explains that exams use either a "standard" or a "scientific" on-screen format. The scientific version is similar to the Texas Instruments TI-30XS. The 115 test page lists the scientific calculator. In practice:

• It will handle arithmetic, powers, roots, trigonometric ratios, logarithms and fraction or decimal conversions.
• It will not graph. Do not plan to find intersections, zeros, regression lines or tables on screen. Every item that "looks graphical" can be solved with algebra, a sketch on the erasable sheet, or reasoning about slope, intercepts and symmetry.
• Pearson's calculator guide says you can practice with an on-screen calculator by downloading the CAT tutorial from the preparation materials page. Do that before test day.

Personal calculators are prohibited aids for 115. Pearson's policy allows handheld calculators only on a few named exams (Mathematics 7–12, Mathematics/Physical Science/Engineering 6–12, and Physics/Mathematics 7–12). The test administrator provides erasable sheets for scratch work, but no credit is given for anything written on them.

The Definitions and Formulas page

The page linked from the official 115 test page is short. It includes:

• Calculus notation: first and second derivative notation.
• Algebra: $i^2 = -1$, the inverse of a matrix $A^{-1}$, compound interest $A = P\left(1 + \frac{r}{n}\right)^{nt}$, and the greatest integer function $\lfloor x \rfloor = n$ where $n \le x < n + 1$.
• Probability: $P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)$ and $P(A \text{ and } B) = P(A)P(B \mid A) = P(B)P(A \mid B)$.
• Geometry: congruence and parallel tick-mark conventions and circumference $C = 2\pi r$.
• Volume: cylinder and prism (area of base × height), cone ($\tfrac{1}{3}$ × area of base × height), and sphere $\tfrac{4}{3}\pi r^3$.
• Area: triangle, rhombus ($\tfrac12 d_1 d_2$), trapezoid, circle, sphere surface area $4\pi r^2$, and lateral area of a cylinder $2\pi rh$.
• Trigonometry: the Law of Sines and the Law of Cosines.

Just as important is what the page leaves out. You must know these from memory: the Pythagorean theorem and special right triangles, the distance, midpoint and slope formulas, the quadratic formula, arithmetic and geometric sequence formulas, permutation and combination formulas, mean, median, standard deviation and IQR procedures, customary unit conversions, and pyramid volume. A pyramid is treated just like a cone: one-third of base area times height.

---

Scoring

• TExES exams are criterion-referenced. Your result is compared with a fixed standard, not with other candidates.
• Your final scaled score is based only on scored questions, and your score depends on the number of questions you answer correctly. There is no penalty for wrong answers, so never leave a question blank.
• Raw performance is converted to the 100–300 scale so that scores mean the same thing across different forms. A 240 does not correspond to a fixed percentage correct, and Pearson does not publish a raw cut score for 115.
• The preparation manual explains how the passing standard is set. A committee of Texas educators takes part in a standard-setting study and recommends a passing score, TEA presents the recommendation to the Commissioner of Education, and the Commissioner makes the final decision.
• The score report breaks performance down by domain and competency. After a failed attempt, use it to decide what to study next.

---

Test-Day Rules That Trip People Up

1. Identification: Bring two original, unexpired IDs. They must be printed in English, in the name you registered under, and together must show your name, a recent recognizable photograph and your signature. The primary ID must be government-issued, such as a driver's license, passport, state ID or military ID.
2. Identity checks: Staff collect a digital signature and photograph and, where used, a palm vein scan. If you refuse, you cannot test and you get no refund.
3. Compliance agreement: It appears on screen after you sign in, and you have four minutes and thirty seconds to accept it. If you do not accept it in time, the session ends with no refund or credit. This agreement falls within the 15 minutes set aside for the tutorial and agreement.
4. Late arrival: If you arrive more than 15 minutes late, you may be turned away and counted absent.
5. Breaks: You may take unscheduled breaks, but the clock keeps running. You may not leave the test center, and your ID or palm scan may be checked when you leave and when you return.
6. Prohibited items: Phones, watches, notes, scratch paper and personal calculators must be stored in a locker.

---

Retakes and the Five-Attempt Limit

• You may retake the exam 30 days after the prior attempt's test date. You also cannot register again until your previous results post to ECOS, TEA's Educator Certification Online System.
• If you are in an educator preparation program (EPP), you must get your program's approval before retesting.
• Texas limits candidates to five attempts on a certification exam: the first attempt plus four retakes (Texas Education Code §21.048). After five attempts you may not test again unless TEA approves a test-limit waiver. Scores from attempts beyond the limit do not count toward certification.
• You pay the full exam fee each time you retake.

---

Pacing Plan for 285 Minutes

The official tips suggest skipping extremely difficult questions on the first pass, marking them, and finishing with 10–15 minutes left to revisit them.

---

How Certification Fits Together

The exam is one step in a longer process. Most candidates follow a Texas educator preparation program route:

1. Gain admission to an EPP (university, post-baccalaureate or alternative program).
2. Receive test approval from the EPP, then register with Pearson.
3. Pass Mathematics 4–8 (115).
4. Complete the clinical teaching, internship or residency experience your route requires.
5. Meet the pedagogy requirement. TEA currently lists PPR EC–12 (160) and, for some certificate areas, an edTPA option. TEA has announced a new Texas Test of Educator Proficiency that is pending SBEC action, with a target date no earlier than September 2027.
6. Apply for the certificate through TEA's online system and complete fingerprinting.

The certificate you earn is Mathematics: Grades 4–8. Assignment rules (19 TAC Chapter 231) decide which courses a certificate holder may teach, for example a high school credit course offered in middle school. Check those rules for the course, and do not assume an assignment is allowed. TEA's educator testing page lists current exam transitions. As of September 2026, Mathematics 4–8 (115) is not on TEA's list of exams scheduled to be replaced.