TExES Mathematics 7-12 (235) Study Guide 2025-2026
TExES Mathematics 7-12 (235) Test Prep with Online Practice Tests

Completely Aligned with Today's Exam


REA's TExES Mathematics 7-12 (235) test prep is perfect for teacher education students and career-changing professionals seeking certification as secondary mathematics teachers in Texas.

Fined-tuned to help you succeed by a Texas-based math education expert, this Book + Online prep package is fully aligned with the current test framework.

Our comprehensive review guides prospective secondary math teachers through all the domains and competencies tested on the TExES 7-12 exam including:
  • Number concepts
  • Patterns and algebra
  • Geometry and measurement
  • Probability and statistics
  • Mathematical processes and perspectives
  • Mathematical learning, instruction, and assessment
The book is rich with examples and exercises that reinforce the concepts covered in each chapter.

Two full-length practice tests (both in the book and online) offer realistic practice and are balanced to include every type of question and skill tested on the exam. Go online with us to get your practice delivered in a timed format with automatic scoring and diagnostic feedback to help you zero in on the topics and types of questions that give you trouble now, so you can succeed on test day.

This test prep is a must-have for anyone who wants to become a Texas secondary math teacher!

 
 
1146963807
TExES Mathematics 7-12 (235) Study Guide 2025-2026
TExES Mathematics 7-12 (235) Test Prep with Online Practice Tests

Completely Aligned with Today's Exam


REA's TExES Mathematics 7-12 (235) test prep is perfect for teacher education students and career-changing professionals seeking certification as secondary mathematics teachers in Texas.

Fined-tuned to help you succeed by a Texas-based math education expert, this Book + Online prep package is fully aligned with the current test framework.

Our comprehensive review guides prospective secondary math teachers through all the domains and competencies tested on the TExES 7-12 exam including:
  • Number concepts
  • Patterns and algebra
  • Geometry and measurement
  • Probability and statistics
  • Mathematical processes and perspectives
  • Mathematical learning, instruction, and assessment
The book is rich with examples and exercises that reinforce the concepts covered in each chapter.

Two full-length practice tests (both in the book and online) offer realistic practice and are balanced to include every type of question and skill tested on the exam. Go online with us to get your practice delivered in a timed format with automatic scoring and diagnostic feedback to help you zero in on the topics and types of questions that give you trouble now, so you can succeed on test day.

This test prep is a must-have for anyone who wants to become a Texas secondary math teacher!

 
 
39.95 In Stock
TExES Mathematics 7-12 (235) Study Guide 2025-2026

TExES Mathematics 7-12 (235) Study Guide 2025-2026

TExES Mathematics 7-12 (235) Study Guide 2025-2026

TExES Mathematics 7-12 (235) Study Guide 2025-2026

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Overview

TExES Mathematics 7-12 (235) Test Prep with Online Practice Tests

Completely Aligned with Today's Exam


REA's TExES Mathematics 7-12 (235) test prep is perfect for teacher education students and career-changing professionals seeking certification as secondary mathematics teachers in Texas.

Fined-tuned to help you succeed by a Texas-based math education expert, this Book + Online prep package is fully aligned with the current test framework.

Our comprehensive review guides prospective secondary math teachers through all the domains and competencies tested on the TExES 7-12 exam including:
  • Number concepts
  • Patterns and algebra
  • Geometry and measurement
  • Probability and statistics
  • Mathematical processes and perspectives
  • Mathematical learning, instruction, and assessment
The book is rich with examples and exercises that reinforce the concepts covered in each chapter.

Two full-length practice tests (both in the book and online) offer realistic practice and are balanced to include every type of question and skill tested on the exam. Go online with us to get your practice delivered in a timed format with automatic scoring and diagnostic feedback to help you zero in on the topics and types of questions that give you trouble now, so you can succeed on test day.

This test prep is a must-have for anyone who wants to become a Texas secondary math teacher!

 
 

Product Details

ISBN-13: 9780738612423
Publisher: Research & Education Association
Publication date: 08/12/2020
Series: TExES Teacher Certification Test Prep Series
Edition description: First Edition, First
Pages: 468
Product dimensions: 8.40(w) x 10.90(h) x 1.30(d)
Age Range: 18 Years

About the Author

Ryann Shelton, Ph.D., is a visiting lecturer in the Department of Curriculum & Instruction at Baylor University.
 

Table of Contents

Getting Started

How to Use This Book + Online Prep xv

An Overview of the Test xvi

Chapter 1 The Real Number System 1

Competency 001

Number Categories 1

Number Properties 2

Algebraic Models 4

Chapter 1 Quiz 4

Chapter 1 Quiz Solutions 6

Chapter 2 The Complex Number System 7

Competency 002

Arithmetic Operations 7

Solutions to Quadratic Equations 8

Equivalent Representations 8

Powers and Roots 13

Vectors 14

Chapter 2 Quiz 19

Chapter 2 Quiz Solutions 20

Chapter 3 Number Theory 23

Competency 003

Prime Numbers and Factorization 23

Greatest Common Factor 24

Congruence Classes 25

Properties of Vectors and Matrices 26

Summary 27

Chapter 3 Quiz 31

Chapter 3 Quiz Solutions 32

Chapter 4 Sequences and Series 33

Competency 004

Patterns and Properties of Series 36

Application of Sequences and Series to Finance 38

Chapter 4 Quiz 39

Chapter 4 Quiz Solutions 41

Chapter 5 Functions 43

Competency 005

Relations 43

Domain and Range of Functions 44

Transformations of Functions 49

Summary 53

Chapter 5 Quiz 56

Chapter 5 Quiz Solutions 58

Chapter 6 Linear and Quadratic Functions 61

Competency 006

Properties of Lines and Their Equations 61

Systems of Linear Equations 62

The Application of Quadratic Equations in One Variable to Verbal Problems 69

Chapter 6 Quiz 71

Chapter 6 Quiz Solutions 73

Chapter 7 Rational and Radical Functions 75

Competency 007

Special Functions 75

Polynomial Inequalities 86

Radical Equations 87

Chapter 7 Quiz 88

Chapter 7 Quiz Solutions 91

Chapter 8 Exponential and Logarithmic Functions 93

Competency 008

Algebraic Properties 93

Equations 94

Graphic Features of Logarithmic and Exponential Functions 95

Exponential Growth, Exponential Decay, Proportions 97

Chapter 8 Quiz 99

Chapter 8 Quiz Solutions 101

Chapter 9 Trigonometric and Circular Functions 103

Competency 009

The Cartesian Coordinate System 103

Basic Trigonometric Functions 106

Inverse Trigonometric Functions 113

Right Triangle Trigonometry 115

Graphic Features of Trigonometric Functions 118

Trigonometric Identities and Equations 122

Unit Circle 124

Chapter 9 Quiz 125

Chapter 9 Quiz Solutions 127

Chapter 10 Differential and Integral Calculus 129

Competency 010

Limits and Continuity of Functions 129

Continuity of Functions 134

Average Rate of Change 136

Instantaneous Rate of Change 137

Rules for Finding First Derivatives 139

Rules for Finding Second Derivatives 143

Applications of First and Second Derivatives to a Graph 145

Antiderivatives 153

Definite Integral 155

Chapter 10 Quiz 158

Chapter 10 Quiz Solutions 161

Chapter 11 Measurement in Geometry 163

Competency 011

Perimeters and Areas of Two-dimensional Figures 163

Three-dimensional Figures 167

Using Calculus for Areas between Curves and Arc Length 171

Chapter 11 Quiz 176

Chapter 11 Quiz Solutions 177

Chapter 12 Axioms, Properties, and Theorems of Euclidean Geometry 179

Competency 012

Properties of Points, Line Segments, Rays, Angles, Planes, and Distances 179

Properties of Sides and Angles of Triangles 182

Theorems Concerning Congruent and Similar Triangles 184

Properties of Quadrilaterals 188

Similarity for Three-dimensional Figures 190

Geometric Constructions Using a Compass and a Straightedge 191

Chapter 12 Quiz 196

Chapter 12 Quiz Solutions 198

Chapter 13 Applications of Euclidean Geometry to Circles and Composite Figures 201

Competency 013

Properties of Lines and Angles Related to Circles 201

Areas of Circles and Portions of Circles 206

Properties of Regular Polygons 208

Perimeters and Areas of Composite Figures 211

Cross-sections and Nets of Three-dimensional Figures 212

Geometric Constructions Related to Circles 213

Chapter 13 Quiz 216

Chapter 13 Quiz Solutions 220

Chapter 14 Coordinate, Transformational, and Vector Geometry 223

Competency 014

Transformations and Their Properties 223

Concepts and Properties of Slope, Midpoint, and Distance in the Coordinate Plane 231

Equations and Properties of Conic Sections 232

Geometric Properties of Matrices and Vectors 241

Chapter 14 Quiz 244

Chapter 14 Quiz Solutions 246

Chapter 15 Graphical and Numerical Techniques to Analyze Data 249

Competency 015

Measurement Scales for Data 249

Various Displays to Represent Data 250

Measures of Central Tendency and Dispersion 255

Linear Transformation of Data 269

Summary of Formulas 271

Chapter 15 Quiz 271

Chapter 15 Quiz Solutions 273

Chapter 16 Probability Concepts and Applications 277

Competency 016

Sample Spaces 277

Categories of Probability 278

Permutations and Combinations 286

Application of Probability to Permutations and Combinations 289

Application of Probability to Geometric Figures 291

Chapter 16 Quiz 292

Chapter 16 Quiz Solutions 294

Chapter 17 Probability Distributions, Sampling, and Statistical Inference 297

Competency 017

Probability Distribution 297

Binomial Distribution 299

Hypothesis Testing 314

Regression Analysis 316

Chapter 17 Quiz 317

Chapter 17 Quiz Solutions 320

Chapter 18 Mathematical Reasoning and Problem Solving 323

Competency 018

Indirect Proof 325

Deductive Reasoning 326

Inductive Reasoning 327

Counterexamples 329

Chapter 18 Quiz 329

Chapter 18 Quiz Solutions 330

Chapter 19 Communicating Mathematical Concepts 333

Competency 019

Application to Biology 333

Application to Engineering 334

Business and Finance 334

Leisure and Entertainment 335

Connections to Mathematics 335

Chapter 19 Quiz 338

Chapter 19 Quiz Solutions 340

Chapter 20 Mathematical Learning and Instruction 343

Competency 020

Mathematics Instruction: Then and Now 343

Chapter 20 Quiz 352

Chapter 20 Quiz Solutions 353

Chapter 21 Assessment 355

Competency 021

Assessment 355

Chapter 21 Quiz 359

Chapter 21 Quiz Solutions 360

TExEs Mathematics 7-12 Practice Test 1 (Also available online at rea.com/studycenter) 363

Definitions and Formulas 365

Answer Sheet 367

Practice Test 1 369

Answer Key 382

Alignment Grid 385

Progress Chart 386

Detailed Solutions 389

TExES Mathematics 7-12 Practice Test 2 (Also available online at rea.com/studycenter) 399

Definitions and Formulas 401

Answer Sheet 403

Practice Test 2 405

Answer Key 418

Alignment Grid 421

Progress Chart 422

Detailed Solutions 425

Index 435

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