Coverage by content domain
Lessons and questions are organized around the exam’s content areas so your preparation reflects the structure of the assessment.
Why Test Alignment Matters for Your Praxis Mathematics Content Knowledge Study Guide
Certification test standards are broad, but the exam questions are very specific. Our team of curriculum experts uses the 240 Study Guide Creation Process to ensure the most aligned, specific content for your Praxis Mathematics Content Knowledge (5165) test — so you are not wasting time on broad subject review that may not show up on exam day.
Why 240 is the best choice for the Praxis 5165 study guide
- Built around the official exam framework
- Organized by the competencies actually used on the exam
- Shows exactly what is covered and where depth is partial
- Includes aligned questions, flashcards, study materials, and videos
- Helps candidates study what is actually tested instead of broad generic content
Transparent coverage is a strength. We show where the guide is strong, where depth is partial, and where a gap has been identified so you can make an informed study decision.
How to Read This Alignment Review
5Domains
197Competencies reviewed
93%Test-aligned
169Covered
28Partially covered
0Gaps
- CoveredCompetency is comprehensively supported by the guide.
- Partially coveredCore content is covered, but some depth gaps remain.
- Coverage gap identifiedA content gap has been identified.
This study guide is based on the current official exam framework. We review and update alignment whenever the official framework changes so candidates are always studying current, accurate material.
Number & Quantity and Algebra (Domain I)Coverage gap identified
SMR I.A · Number and Quantity0 questions · 0 materials · 0 cards · 0 videosCoverage gap identified
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Understands the structure of the real number system and how the basic operations on numbers in this system are performed | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Understands the properties of radicals and rational exponents | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 3. Understands how to reason quantitatively and use units to solve problems | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Knows the structure of the complex number system and how basic operations with complex numbers are performed | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
SMR I.B · Algebra0 questions · 0 materials · 0 cards · 0 videosCoverage gap identified
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Understands how to write algebraic expressions in equivalent forms | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Understands how to create equations and inequalities that describe relationships | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 3. Understands how varied techniques (e.g., graphical, algebraic, tabular) are used to solve equations and inequalities | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Understands how varied techniques (e.g., graphical, algebraic, tabular) are used to solve systems of equations and inequalities | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 5. Understands the concept of rate of change of nonlinear functions | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 6. Recognizes and is able to extract and interpret information about a linear equation when it is presented in various forms (e.g., slope-intercept, point-slope, standard) | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 7. Understands the relationship between zeros of polynomial functions (including their graphical representation) and factors of the related polynomial expressions | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 8. Understands how to rewrite rational expressions | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 9. Understands how to justify the reasoning process used to solve equations, accounting for potential extraneous solutions | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
Functions and Calculus (Domain II)Coverage gap identified
SMR II.A · Functions0 questions · 0 materials · 0 cards · 0 videosCoverage gap identified
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Understands functions and function notation | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Understands how function behavior is analyzed using different representations (e.g., graphs, mappings, tables) | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 3. Understands how functions and relations are used to model relationships between quantities | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Understands how new functions are obtained from existing functions (e.g., compositions, transformations, inverses) | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 5. Understands differences between linear, quadratic, and exponential models, including how their equations are created and used to solve problems | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 6. Understands how to use logarithms to solve problems | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 7. Understands the relationship between points on the unit circle and the values of trigonometric functions for any given angle measure | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 8. Understands how periodic phenomena are modeled using trigonometric functions | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 9. Understands how to solve trigonometric, logarithmic, and exponential equations | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
SMR II.B · Calculus0 questions · 0 materials · 0 cards · 0 videosCoverage gap identified
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Understands the meaning of a limit of a function and how to calculate limits of functions and conditions when the limit does not exist | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Understands the derivative of a function as a limit, as the slope of a line tangent to a curve, and as a rate of change | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 3. Understands what it means for a function to be continuous at a given point and knows the relationship between continuity and differentiability | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Understands how and when to use standard differentiation and integration techniques | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 5. Understands how to analyze the behavior of a function (e.g., extrema, concavity, symmetry) and understands how to use integration to compute area | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
Geometry (Domain III)Coverage gap identified
SMR III.A · Geometry0 questions · 0 materials · 0 cards · 0 videosCoverage gap identified
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Knows the properties of lines (e.g., parallel, perpendicular, intersecting) and angles | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Knows the properties of triangles, quadrilaterals (e.g., parallelogram, rectangle, rhombus), and other polygons | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 3. Understands transformations in the plane | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Understands congruence and similarity | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 5. Knows how to prove geometric theorems such as those about lines, angles, triangles, and parallelograms | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 6. Understands how trigonometry is applied to triangles | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 7. Understands how to apply theorems about circles | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 8. Understands how to use coordinate geometry to describe properties of geometric objects | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 9. Knows how to solve problems involving perimeter and area of polygons | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 10. Knows how to solve problems involving solids | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
Statistics & Probability (Domain IV)Coverage gap identified
SMR IV.A · Statistics & Probability0 questions · 0 materials · 0 cards · 0 videosCoverage gap identified
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Understands how to make inferences and justify conclusions from samples, experiments, and observational studies | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Understands how to summarize, represent, and interpret data collected from measurements on a single variable (e.g., boxplots, dot plots, normal distributions) | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 3. Understands how to summarize, represent, and interpret data collected from measurements on two variables, either categorical or quantitative (e.g., scatterplots, time series) | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Understands how to create and interpret linear regression models (e.g., rate of change, intercepts, correlation coefficient) | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 5. Understands the concept of independence and understands how to compute probabilities of simple events, probabilities of compound events, and conditional probabilities | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 6. Understands how to find probabilities involving finite sample spaces and independent trials | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 7. Knows how to make informed decisions using probabilities and expected values | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 8. Understands normal distributions | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
Teaching Mathematics (Domain V)Coverage gap identified
SMR V.A · Tasks of Teaching0 questions · 0 materials · 0 cards · 0 videosCoverage gap identified
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Mathematical explanations, justifications, and definitions | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Mathematical problems, tasks, examples, and procedures | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 3. Mathematical representations, models, manipulatives, and technology | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Students' mathematical reasoning | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
How 240 Creates The Praxis Mathematics Content Knowledge (5165) Study Guide
Every 240 study guide starts with the official exam framework. From there, we organize lessons, practice, and study tools around the categories the exam uses to measure candidate knowledge.
Review the official exam framework
We begin with the standards, domains, competencies, objectives, or content categories published by the testing authority.
Map the tested categories
We map every major area the exam is designed to cover so the guide reflects the real structure of the test.
Build lessons around tested content
We create study materials to support the official blueprint, not broad filler content.
Cross-check practice against exam expectations
We review practice content against the framework and real exam patterns so preparation stays targeted.
Review and update as standards change
When official frameworks change, we review guides and update alignment as needed.
Reviewed by subject-matter experts and maintained to reflect current standards.
Why 240 Is Better Than Other Generic Study Guides
Not all study guides are built the same way. Here is what separates a test-aligned guide from a generic one — and why it matters when you are preparing for the Praxis Mathematics Content Knowledge.
Generic prep
- Covers broad subject areas without structure
- No clear connection to the official exam framework
- Practice questions may not reflect the real test format
- May not update when official standards change
- Can be helpful for quick, broad review
240 test-aligned Praxis 5165 prep
- Every lesson maps to an official domain or competency
- Built directly from the official exam framework
- Practice questions aligned to what the exam actually measures
- A clear study path by tested category
- Study smarter and enter test day more prepared
FAQs About the Praxis Mathematics Content Knowledge Study Guide
The questions teacher candidates ask us most often about the Praxis Mathematics Content Knowledge study guide.
Is 240 a good study guide for Praxis Mathematics Content Knowledge?
240 is a strong option because the guide is built around the official exam framework and shows detailed alignment by SMR and competency.
How closely does 240 align to the Praxis 5165 exam?
This guide is 93% aligned based on a competency-by-competency review of the official framework and the study resources included in the guide.
Does 240 cover every competency?
This page shows coverage transparently across covered, partially covered, and identified gaps so candidates can see exactly how the guide maps to the exam.
What does “partially covered” mean?
Partially covered means the guide addresses the core parts of a competency, but some depth or subtopics may still be limited.