TExES Mathematics 7-12 (235) Practice Test & Study Guide

What is the TExES Mathematics 7-12 (235) Exam?

Do you want to teach high school math in Texas? If so, one of the landmarks on your journey to becoming the next standout educator is the TExES 7-12 (235) test! This exam tests whether you have the necessary skills and knowledge to teach high school math. Anyone wishing to teach mathematics at this level in Texas must take (and pass) this exam. It is open to those who already have a TExES teaching certificate of any kind and those who are in the process of becoming certified or wish to be certified soon.

The TExES 235 is a five-hour exam, which is broken up into two parts. The first part - lasting 15 minutes - ensures that you comply with the exam's policies and provides a tutorial on how to take the test. It is a computer-administered test (CAT), which simply means it is done entirely through a computer. After this short introduction, the test is found in the second part. This 4 hour, 45-minute section assesses your competency in six broad mathematical domains.

While taking the TExES 235, you will encounter 100 multiple-choice questions. Some of these questions might not factor into your final grade. All of that may sound daunting, but it could be of some relief to know that you will be provided with a sheet of essential formulas and definitions. You won't have to remember just everything from raw memory!

Additionally, you are allowed to bring a graphing calculator, provided that this calculator meets the exam's requirements. A full list of approved calculators is available on the TExES official website.

Practice tests give you a better idea of the topics you have mastered and those you should keep studying.

What is on the TExES Mathematics 7-12 (235) Exam?

The material on the TExES 235 test is divided into six broad domains. The exam will test your competency in all six domains. Each of them plays a vital role in math education at the middle and high school levels. We'll go through these domains in detail below so that you know exactly what to expect before you register for a test

Number Concepts

In a nutshell, you will be assessed on your knowledge of number theory and algorithms. You will need to thoroughly understand the concepts of both real and complex numbers, arithmetic and algebraic operations, and quantitative reasoning. Additionally, you will need to make sure you have a good grasp of fractions, decimals, and how to model real-world problems using numbers.

Remember those "story problems" that you used to have to solve in your high school mathematics class? This portion of the exam will test your ability to understand and solve them. Having a solid grasp of mathematical relationships will also be very helpful, as you may be required to prove certain relationships between numbers.

The concepts focused upon in this section include:

• The real number system
• The complex number system
• Number theory principles and concepts

The number concepts portion of the exam accounts for approximately 14 percent of your test score. Therefore, you can expect to encounter 14 questions that test this competency.

Domain Percent of Score Approx. Number of Questions
Number Concepts 14% 14

Patterns and Algebra

As the name implies, this section is mainly geared towards testing your algebraic knowledge and your understanding of mathematical patterns. However, this domain also focuses very intensely on functions. You'll need to possess a strong comprehension of algebra, as well as an excellent understanding of trigonometric and algebraic functions. Being comfortable with both differential and integral calculus is also a must. Time to break out those differentiation rules! (Anyone remember the chain rule?)

The patterns and algebra domain of the TExES 235 concentrates on the following disciplines:

• Using patterns to solve problems
• Fundamental concepts behind functions and relations, as well as their graphs
• Radical, rational, polynomial, piecewise, and absolute value functions
• Exponential and logarithmic functions
• Trigonometric and circular functions
• Differential and integral calculus

As you can see, the amount of material covered in this domain is extensive. That's a lot of studying! Because the concepts covered here are so vital to high school math education, this portion of the exam accounts for approximately 33 per cent of your overall score. It is by far the largest of the six domains included in the exam.

Domain Percent of Score Approx. Number of Questions
Number Concepts 14% 14
Patterns & Algebra 33% 33

Geometry and Measurement

This section deals with all things relating to geometry and spatial reasoning. Here, you'll be tested on your knowledge of angles, measurements, Euclidean principles, and geometric transformations. You won't need your compass and protractor, however, as the primary focus of this domain is on the theory and application of geometry.

The knowledge requirements for this leg of the exam are as follows:

• Understanding measurement as a process
• Understanding geometry as an axiomatic system
• Understanding Euclidean geometry and its applications
• Understanding coordinate geometry, including transformations and vectors

Given that geometry plays a significant role in math education - especially at the upper-middle and high school levels - this section of the test is also rather weighty. It accounts for 19 per cent of your total exam score. This makes it the second-largest portion of the test, following only behind the patterns and algebra domain.

Domain Percent of Score Approx. Number of Questions
Number Concepts 14% 14
Patterns & Algebra 33% 33
Geometry & Measurement 19% 19

Probability and Statistics

From weather forecasts to sports games, probability and statistics are important in day-to-day life. They also constitute the fourth domain on the TExES 7-12 (235) exam. This portion of the test will assess your skills with regard to graph and chart interpretation, data analysis, and theories of probability. You will want to have a good handle on formulas relating to probability, and statistical concepts such as mean, median, skewedness, and standard deviation.

The probability and statistics domain focuses on the following key concepts:

• Numerical and graphical techniques of exploring data and patterns
• The theory and application of probability
• Relationships between probability theory, statistical inference, and sampling

In total, this domain of the TExES 235 accounts for approximately 14 percent of your score. That means you can expect to encounter 14 exam questions that test this competency.

Domain Percent of Score Approx. Number of Questions
Number Concepts 14% 14
Patterns & Algebra 33% 33
Geometry & Measurement 19% 19
Probability & Statistics 14% 14

Mathematical Processes and Perspectives

Unlike the previous four domains of the TExES 235, which test your "hard math" skills, the mathematical processes and perspectives domain tests your knowledge regarding the fundamentals of mathematics itself. This includes methods of proof - including indirect proof - as well as inductive reasoning and problem-solving. These concepts can be tricky, as they are rather abstract in nature.

Additionally, this domain focuses on your ability to communicate math concepts and make connections to disciplines that are not explicitly "math-related." An example of this would be connecting music and pitch with equations that describe sound waves.

Competencies tested here include:

• Mathematical reasoning and problem solving
• Connecting mathematics with real-world examples
• Communicating math concepts clearly

The mathematical concepts and perspectives portion of the exam will contribute 10 percent of the total score.

Domain Percent of Score Approx. Number of Questions
Number Concepts 14% 14
Patterns & Algebra 33% 33
Geometry & Measurement 19% 19
Probability & Statistics 14% 14
Mathematical Processes & Perspectives 10% 10

Mathematics Learning, Instruction, and Assessment

This portion of the test is fundamentally education-based. It concentrates on your ability to instruct students and to teach the math curriculum. More specifically, it tests your understanding of the TEKS (Texas Essential Knowledge and Skills) standard. Additionally, you will be tested on your understanding of grading and student assessment.

This section also focuses more on the "soft skills" rather than the "hard skills" of mathematics.

The main areas of focus in this domain are:

• Understanding how children and students learn math
• Implementing math education in accordance with statewide standards (TEKS)
• Understanding and implementing assessment techniques (such as testing and grading)

Following in the footsteps of domain five, this portion of the exam accounts for 10 percent of your overall score.

Domain Percent of Score Approx. Number of Questions
Number Concepts 14% 14
Patterns & Algebra 33% 33
Geometry & Measurement 19% 19
Probability & Statistics 14% 14
Mathematical Processes & Perspectives 10% 10
Mathematics Learning, Instruction, & Assessment 10% 10

How is the TExES Mathematics 7-12 Test Scored?

Like other TExES exams, this exam is graded on a scale of 100 to 300. The TExES exam passing score for Math 7-12 is 240. Each correctly-answered and graded question is worth one raw score point. As we briefly touched on earlier, the exam may contain questions that are not graded and do not count towards your final score. However, you will have no way of knowing which questions these are. The percentage of your score that each domain contributes is also approximate, so your specific version of the test may contain a slightly different mixture of questions.

The somewhat ambiguous nature of the exam's scoring system makes it impossible to tell precisely how many questions you have to answer correctly to pass. That number will vary depending upon the specific exam you take.

Given that the TExES 235 is a multiple-choice computer-administered test, the exam is scored right away. However, you will not know your score until 10 p.m. Central Time on the score report date, which varies depending upon when you take the exam. You will always receive your TExES exam results within 7 days of taking the test. Your score report will include a detailed breakdown of your performance, including:

• Whether or not you passed
• Individual scores by domain, and - where possible - by competency

How to Prepare for the TExES Mathematics 7-12 Test

Like any exam, the main way to prepare for the TExES Math 7-12 is to study. Fortunately, there are plenty of resources for those looking to study for the exam, including TExES study guides and practice tests with TExES 235 practice questions. Utilizing these materials can help test takers become familiar with the testing format, including test format and types of questions.

In general, you will be best served by focusing most heavily on algebra, mathematical functions, trigonometry, geometry, number theory, and connecting math with other subjects. These concepts make up the "bedrock" of the TExES Math 7-12 exam. You should take as many practice tests as you can, making sure you thoroughly understand the answer to each question. Ask yourself, "What is the larger concept behind this problem?" rather than, "How do I solve this specific problem with these specific numbers and variables?" If you build towards a solid understanding of concepts, you will be well on your way to passing the TExES 235 with flying colors.

Additionally, don't sweat it! If you feel overwhelmed at any point in your preparation, step back and take a break. Science has shown that we do our best studying in short, concentrated, and well-planned intervals rather than with hours spent chipping away at mountains of material. If you approach the TExES 235 exam with a list of goals, following the domains and competencies discussed in this article, then you will have found the recipe for success.

How to Register for the TExES Mathematics 7-12 (235) Exam

TExES exam registration for the TExES 235 is completed online. To register, you should visit the Mathematics 7-12 (235) page on the Texas Educator Certification Examination Program website. When you register, you will need to agree to abide by the exam's rules and policies.

Below, we will go into greater detail on testing sites and dates and how to pay for your registration.

Testing Sites and Dates for the TExES

TExES testing centers are available all across the state of Texas, as well as nationwide. These often include Pearson test centers and Pearson professional centers. To locate a test center near you, you will need to visit the Mathematics 7-12 (235) page on the Texas Educator Certification Examination Program website. It contains a link that will prompt you to enter your address. Potential testing centers will then appear on the map. It is important to note that not all testing centers may carry the TExES 235, so you'll want to check in advance to confirm that your chosen testing site does administer the exam on the date you wish to take it.

TExES 235 exams are administered year-round, and testing dates are available just about every week. To reserve a test date, you will need to book your appointment. Appointments on a given date and location are limited, and are given out on a first-come, first-serve basis.

Registration Fees

TExES exam cost for Math 7-12 exam is $116. Payment has to be made online by credit, debit, or check card. At this time, only VISA and MasterCard are accepted. If you're using a debit or check card, the card must have the VISA or MasterCard logo and be chargeable without the use of a PIN. Cash and checks from local banks will not be accepted. After registering for the exam, you will have 170 days to schedule and take your test. If you withdraw or do not test within that time, you will be unable to receive neither a refund nor credit for the exam. Expert Contributor Raquel Salinas Raquel Salinas has over 12 years of experience teaching in an elementary setting. She has taken both ExCET and TExES exams, passing the Early Childhood, Elementary (1-8), Math (4-8), Art (EC-12), and English as a Second Language Supplemental (EC-12). Raquel is currently pursuing a PhD in Educational Leadership from St. Thomas University. She earned her Master's degree in Reading from University of Texas-Pan American and her B.A. in Studio Art from the University of Notre Dame. Frequently Asked Questions • Can you use a calculator on the TExES exam? Yes, but the calculator must be on the list of approved brands and models. This list is provided on the TExES Math 7-12 (235) official test website. Most Texas Instruments graphing calculators are permitted. • What is a passing score for the TExES? The passing score on this test is 240. The TExES Math 7-12 (235) exam is graded on a scale of 100 to 300, with 100 being the lowest score and 300 being the highest. Take a TExES Mathematics 7-12 Practice Test Online Exam Instructions: Complete the practice test below to test your knowledge of TExES Mathematics 7-12. Choose your answers below. Complete the 15 questions then click "See Results." You have answered 0 out of 15 correctly. The correct answers are highlighted with green below. Create an account to study for TExES Mathematics 7-12. 1. In how many ways can a committee of 20 members choose a president, a vice-president, and a secretary? • Correct Answer 2. What is the interior obtuse angle of a rhombus whose area is 8 squared centimeters and side length is 4 centimeters? • Correct Answer 3. Harold is a farmer. He has a small plot of land where he grows pumpkins and eggplants. He is planning to use a small portion of the farmland for raising pigs. He is going to make a pig pen where he can feed and raise the pigs. The rectangular pig pen is going to be constructed using {eq}80~yards {/eq} of fencing material. Identify the dimensions of the pig pen that will have the largest area. • Correct Answer 4. Evaluate {eq}\lim_{x \to -3} (2x^3 - x^2 + 5x) {/eq} • Correct Answer 5. Mr. Baker did a research study where he used 5 different teacher models in each of his class periods, and then recorded how it affected their test scores. These 5 class periods will be used to see which teacher model will be used school-wide to increase students' average test scores. The table below shows the data he collected. Are Mr. Baker's 5 class periods considered to be a sample or a population? • Correct Answer 6. Determine the total interest earned after 3 years for a principal amount of$2500 that is compounded monthly at an interest rate of 1.2%.

7. A swimming pool is filled up at a flow rate of 480 gallons per hour. What is this flow rate expressed in liters per minute if there are approximately 3.785 liters in 1 gallon?

8. Evaluate {eq}e^5 {/eq} using a scientific calculator.

9. What is the interior angle inside a decagon?

10. Which of the following functions is one-to-one?
11. What is the difference between congruent figures and similar figures?

12. Find the distance between the points (-5, 2) and (4, 9).
13. What translations occurred from Graph 1 to Graph 2?

Graph 1:

Graph 2: