TExES Math 4-8 (115) study guide
TExES Math 4-8 (115) · Work through your exam, one topic at a time.
The TExES Mathematics 4-8 (115) is the Texas certification exam for candidates who want to teach mathematics in grades 4 through 8 in Texas public schools. It is one of the content-area exams administered through the Texas Examinations of Educator Standards program, and passing it is typically one requirement - alongside coursework, field experience, and other certification steps - for earning a Texas teaching certificate with a mathematics specialization in the middle grades. The TExES Math 4-8 (115) study guide has 6 sections and about 1,617 words.
01Number Concepts
Number concepts questions test the real number system and flexible work with rational numbers. Be fluent with place value through decimals and scientific notation; conversions among fractions, decimals, and percents; integer operations and absolute value; divisibility rules, prime factorization, GCF, and LCM; and order of operations.
289 words, about 1 min02Patterns and Algebra
Patterns and algebra covers sequences, functions, and symbolic manipulation. Recognize arithmetic and geometric patterns and write rules for the nth term.
279 words, about 1 min03Geometry and Measurement
Geometry and measurement spans angle relationships, polygon properties, congruence and similarity, the Pythagorean theorem, perimeter, area, surface area, volume, circles, transformations, and coordinate geometry. Know that the interior angles of a triangle sum to 180° and of an n-gon to (n−2)180°; that similar figures have equal angles and proportional sides; and that the Pythagorean theorem applies only to right triangles.
261 words, about 1 min04Probability and Statistics
Probability and statistics questions test counting, sample spaces, probability rules, and data reasoning. Compute probabilities for simple and compound events; distinguish independent from dependent events and 'and' from 'or'; use conditional probability; and apply expected value.
260 words, about 1 min05Mathematical Processes and Perspectives
Mathematical processes describe how students do mathematics, not just what they compute. Expect questions on problem solving with a model (understand, plan, carry out, check), reasoning and justification, communication, connections within and across mathematics, multiple representations, selecting tools including technology, and attention to precision and structure.
265 words, about 1 min06Mathematical Learning, Instruction, and Assessment
This domain applies learning theory and assessment practice. Know Piaget's stages and the move from concrete to formal reasoning; Vygotsky's zone of proximal development and scaffolding; Bruner's concrete-representational-abstract sequence and spiral curriculum; and the role of prior knowledge and misconceptions.
263 words, about 1 min