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Praxis Core Academic Skills for Educators: Mathematics (5733) — the study guide

5 chapters · 20 sections. Read it like a book: diagrams, worked examples, flip-card key terms and a check question in every section.

Chapter 1 of 5

🚀 Getting Started: Understanding the Praxis Core Math Exam

2 sections · read, flip the key terms, then check yourself.

1.1

Praxis Core Math (5733) Overview & Structure

Understanding the structure of the Praxis Core Math (5733) exam is crucial for effective preparation. Knowing what to expect regarding content, question types, and scoring allows you to focus your study efforts and manage your time strategically on test day, maximizing your chances of success.

What is the Praxis Core Math (5733) Exam?

The Praxis Core Academic Skills for Educators: Mathematics (5733) exam is a computer-delivered test designed to assess fundamental mathematical skills and concepts. It is a requirement for many aspiring teachers in the United States, ensuring they possess the basic academic skills necessary for the profession. The test measures your ability to solve problems, reason mathematically, and apply quantitative skills in various contexts. This exam is not about advanced calculus or abstract algebra; rather, it focuses on the math you would typically encounter in everyday life and in supporting student learning up to the middle school level. It emphasizes problem-solving and conceptual understanding rather than rote memorization of formulas.

Content Categories: What Math is Covered?

The Praxis Core Math exam is divided into three main content categories, each contributing a different percentage to your overall score. These categories are Number and Quantity, Algebra and Functions, and Geometry, Probability, and Statistics. Each category covers a range of specific mathematical topics. Number and Quantity focuses on understanding different types of numbers, operations, ratios, proportions, and percentages. Algebra and Functions deals with expressions, equations, inequalities, and the interpretation of functions. Geometry, Probability, and Statistics covers geometric shapes, measurements, data analysis, and the likelihood of events. You'll need a solid grasp of all these areas.

Question Formats and Exam Structure

The Praxis Core Math exam consists of approximately 56 questions, and you are allotted 90 minutes to complete them. The questions are primarily multiple-choice, but the exam also includes other question types such as numeric entry, where you type your answer into a box, and questions that require selecting multiple correct answers from a list. An on-screen four-function calculator is provided for your use during the exam. You are not permitted to bring your own calculator. Familiarizing yourself with this specific calculator's functionality before test day is a good strategy. The exam is adaptive at the section level, meaning the difficulty of subsequent questions might adjust based on your performance in earlier sections, though this is less pronounced than in fully adaptive tests.

Scoring and Passing the Exam

The Praxis Core Math exam is scored on a scale of 100 to 200. The passing score varies by state and institution, so it's essential to check the specific requirements for your desired certification or program. For example, many states require a score of 150 or 152. Your raw score (the number of questions you answer correctly) is converted to a scaled score. There is no penalty for incorrect answers, so it's always best to attempt every question, even if you have to guess. Understanding the scoring helps you set a target and manage your time effectively, ensuring you answer enough questions correctly to meet your state's requirement.

Key Test Day Logistics

On test day, you'll need to present valid identification. Arrive early to allow for check-in procedures. You will be provided with scratch paper or a reusable noteboard and a marker for your calculations. Remember that the exam is computer-delivered, so comfort with navigating computer interfaces is beneficial. While the exam is 90 minutes long, there are no scheduled breaks. If you need a break, the timer will continue to run. Plan your time wisely and practice pacing yourself during your study sessions to ensure you can complete all questions within the allotted time.

🖼️ Praxis Core Math (5733) Exam Structure
🔢Total QuestionsApprox. 56 questions
⏱️Total Time90 minutes
➕Content Category 1Number and Quantity (30%)
✖️Content Category 2Algebra and Functions (30%)
📐Content Category 3Geometry, Prob., Stats (40%)
📝Question TypesMultiple-choice, numeric entry, select all
🧮CalculatorOn-screen 4-function provided
💯ScoringScaled score 100-200 (pass varies)

📌 Worked example: Identifying Content Categories

A student is reviewing a practice question about calculating the probability of drawing a red card from a deck. They wonder which content category this question falls under.

What to do: The student should recognize that 'probability' is explicitly listed under the 'Geometry, Probability, and Statistics' content category. This helps them understand which part of their knowledge is being tested.

Takeaway: Knowing the content categories helps you classify practice questions and focus your study on weaker areas.

📌 Worked example: Time Management Strategy

You have 90 minutes for 56 questions. You encounter a particularly challenging problem that you know will take several minutes to solve.

What to do: Instead of spending excessive time on one problem, make an educated guess, flag it if possible, and move on. You can return to it if you have time at the end, ensuring you attempt all other questions first.

Takeaway: Effective time management means not getting stuck on any single question for too long.

Key terms — tap to check

Memory trick: To remember the three content categories: 'NAGS' - Number, Algebra, Geometry/Stats.

Common mistakes

  • Not checking your state's specific passing score, which can vary.
  • Spending too much time on one difficult question and running out of time for easier ones.
  • Not practicing with the on-screen calculator, leading to slow calculations on test day.

Which of the following is NOT one of the three main content categories on the Praxis Core Math (5733) exam?

1.2

Effective Study Strategies for Praxis Core Math

Mastering effective study strategies is crucial for success on the Praxis Core Math exam. This lesson will equip you with proven techniques to maximize your preparation time and ensure you're ready for test day, directly impacting your score.

Understand the Exam Content

Before you can effectively study, you need to know what you're studying for. The Praxis Core Math exam covers three main content categories: Number and Quantity, Algebra and Functions, and Geometry, Probability, and Statistics. Each category has specific subtopics and skills that will be assessed. Review the official ETS study companion for the Praxis Core Math (5733) to get a detailed breakdown of the content. This document outlines the exact skills and concepts you need to master. Don't guess what might be on the test; rely on the official source.

Create a Personalized Study Plan

A well-structured study plan is your roadmap to success. Start by assessing your current knowledge through a diagnostic test or practice questions. Identify your strengths and, more importantly, your weaknesses. Allocate more study time to areas where you need the most improvement. Break down your study sessions into manageable chunks. Instead of trying to cram for hours, aim for shorter, focused sessions (e.g., 45-60 minutes) with short breaks in between. Consistency is key; regular study over several weeks is far more effective than last-minute cramming.

Active Learning Techniques

Passive learning, like simply reading a textbook, is often ineffective. Engage with the material actively. This means working through practice problems, explaining concepts in your own words, and teaching them to someone else (even if it's just an imaginary student). Practice problems are your best friend. Work through as many as you can, paying close attention to the steps involved and understanding why each step is taken. If you get a question wrong, don't just look at the answer; figure out where you went wrong in your reasoning.

Utilize Official Resources and Practice Tests

The most reliable practice materials come directly from ETS, the creators of the Praxis exam. Use the official Praxis Core study guides and practice tests. These resources accurately reflect the format, question types, and difficulty level of the actual exam. Take full-length practice tests under timed conditions to simulate the actual exam experience. This helps you build stamina, manage your time effectively, and identify any areas where you struggle with pacing. Review your answers thoroughly, both correct and incorrect, to learn from your performance.

Mindset and Test-Taking Strategies

Your mindset plays a significant role in your performance. Approach the exam with confidence, knowing you've prepared thoroughly. On test day, read each question carefully, paying attention to keywords and what is being asked. Don't rush. If you encounter a difficult question, don't get stuck. Use strategies like eliminating obviously incorrect answer choices. For multiple-choice questions, if you can't solve it directly, try plugging in the answer choices to see which one works. Remember, there is no penalty for guessing on the Praxis Core Math exam, so always answer every question.

🖼️ Praxis Core Math Study Cycle
  1. 1📊 AssessTake diagnostic test
  2. 2🗓️ PlanCreate study schedule
  3. 3📚 LearnReview concepts, active practice
  4. 4✍️ PracticeSolve problems, take tests
  5. 5🔍 ReviewAnalyze errors, refine plan
  6. ↻ …and the cycle repeats

📌 Worked example: Diagnostic Test Analysis

A student takes a Praxis Core Math diagnostic test and scores 60%. They notice they struggled significantly with questions involving fractions and percentages, but performed well on geometry.

What to do: The student should allocate more study time to fractions and percentages. They should find targeted practice problems for these areas and review foundational concepts. Geometry can be reviewed less frequently to maintain knowledge.

Takeaway: Use diagnostic results to pinpoint weaknesses and prioritize study efforts effectively.

📌 Worked example: Active Learning in Practice

A student is reviewing the concept of solving linear equations. Instead of just reading the textbook, they decide to try a more active approach.

What to do: The student should work through several linear equation problems step-by-step, explaining each step aloud as if teaching someone. They could also try to create their own word problems that require solving linear equations.

Takeaway: Actively engaging with material through explanation and creation deepens understanding more than passive reading.

Key terms — tap to check

Memory trick: To 'ACE' your Praxis Core Math: **A**ssess your knowledge, **C**reate a plan, **E**ngage actively!

Common mistakes

  • Only reviewing concepts you already know well, neglecting weak areas.
  • Passive studying, such as just rereading notes without practicing problems.
  • Not taking full-length practice tests under timed conditions before exam day.

Which of the following is considered an active learning technique for Praxis Core Math?