TExES Mathematics 4-8 for Beginners – TExES 115 Math Study Guide & Practice Tests

The TExES Mathematics 4-8 rarely stops a future teacher because the mathematics is too hard — it stops them because there was never enough guided practice. TExES Mathematics 4-8 for Beginners closes that gap with clear lessons, worksheets after every chapter, complete answer keys and two practice tests with detailed explanations, so you can go from unsure to confident one chapter at a time.

Why this book works

What’s inside the TExES Mathematics 4-8 study guide

• 23 content chapters covering the TExES Mathematics 4-8 (test 115)
• Clear lessons that build each topic one idea at a time
• Worksheets after every chapter, with complete answer keys
• Two practice tests with an answer sheet, answer key and detailed explanations
• Includes Fractions, Decimals, and Percent; Circles, Right Triangles, and Coordinate Geometry; and TEKS-Based Instruction, Discourse, and Assessment
• Printable 408-page PDF, available to download the moment your order is complete

Inside the chapters

The book moves one chapter at a time through Number Systems, Operations, and Number Theory; Fractions, Decimals, and Percent; Ratio, Rate, and Proportional Reasoning; Exponents, Radicals, and Scientific Notation; Expressions and Polynomial Arithmetic; Linear Equations and Inequalities; Systems of Equations and Inequalities; Quadratic Equations and Functions; The Coordinate Plane and Linear Functions; Function Notation, Nonlinear Functions, and Sequences; Angles, Triangles, and Polygons; Circles, Right Triangles, and Coordinate Geometry; Transformations, Congruence, and Similarity; Measurement, Area, Surface Area, and Volume; Data, Statistics, and Data Displays; Probability and Counting; Teaching Middle School Mathematics: Student Thinking and Instruction; Function Families: Rational, Logarithmic, Trigonometric, and Piecewise; The Conceptual Foundations of Calculus; Distributions, Inference, and Reading Data at Depth; Proof, Constructions, and Tessellations; Financial Literacy and Mathematical Connections; and TEKS-Based Instruction, Discourse, and Assessment. Every chapter ends with worksheets and a full answer key, and the final chapter holds the two practice tests with an answer sheet, answer key and detailed explanations.

Who it’s for

Written for future teachers preparing for the TExES Mathematics 4-8 (test 115) in Texas, for teacher-preparation students building their content knowledge, for career changers returning to mathematics after years away, and for tutors who need ready-made lessons and worksheets with answer keys. Because every topic starts from the beginning, you can open the book at the chapter you need most.

How to use it

Work one chapter at a time: read the lesson, follow the examples with a pencil, complete the worksheets, then check them against the answer key. When an answer is wrong, find the step where it went off track rather than starting over. When the chapters are done, sit each practice test in one timed session and read the explanation for every question you missed.

Useful links before you start

The U.S. Department of Education sets out national education policy and the National Center for Education Statistics publishes data on teachers and schools. Requirements for licensure differ by state and change over time, so confirm the current requirement with your state before you register. On Mathfa, see the Mathfa Texas math learning page, compare TExES Mathematics 7-12 for Beginners, or browse the full Mathfa library.

Frequently asked questions