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 Elementary Education: Multiple Subjects (5001) – Mathematics 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 Elementary Education: Multiple Subjects (5001) – Mathematics (5001) 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 5001 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
3Domains
67Competencies reviewed
97%Test-aligned
63Covered
4Partially 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.
Numbers and Operations (Domain I)Partially covered
SMR I.A · Understands the place value system96 questions · 6 materials · 7 cards · 4 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Writes numbers using base-10 numerals, number names, and expanded form | M.Place Value; M.Place Value - Names; M.Composition and Decomposition of Multi-Digit Numbers | Covered | 50 | 3 | 3 | 1 | Covered by 3 topics (50 questions, 3 materials, 3 cards, 1 videos). |
| 2. Composes and decomposes multi-digit numbers | M.Composition and Decomposition of Multi-Digit Numbers | Covered | 12 | 1 | 1 | 0 | Covered by 1 topic (12 questions, 1 materials, 1 cards, 0 videos). |
| 3. Given a digit, identifies the place the digit is in and its value in that place | M.Place Value | Covered | 33 | 1 | 2 | 1 | Covered by 1 topic (33 questions, 1 materials, 2 cards, 1 videos). |
| 4. Recognizes that a digit in one place represents ten times what it represents in the place to its right and one-tenth what it represents in the place to its left, and extends this recognition to severa | M.Order Real Numbers by Magnitude | Covered | 28 | 1 | 2 | 1 | Covered by 1 topic (28 questions, 1 materials, 2 cards, 1 videos). |
| 5. Uses whole-number exponents to denote powers of 10 | M.Exponential and Scientific Notation | Covered | 12 | 1 | 2 | 1 | Covered by 1 topic (12 questions, 1 materials, 2 cards, 1 videos). |
| 6. Rounds multi-digit numbers to any place value | M.Rounding | Partially covered | 6 | 1 | 1 | 1 | Partial coverage by 1 topic (6 questions, 1 materials, 1 cards, 1 videos); limited supporting content. |
SMR I.B · Understands operations and properties of rational numbers140 questions · 10 materials · 32 cards · 5 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Solves multistep mathematical and real-world problems using addition, subtraction, multiplication, and division of rational numbers | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Understands various strategies and algorithms used to perform operations on rational numbers | M.Operational Algorithm Relationships; M.Sequences - Follow Steps | Covered | 13 | 2 | 13 | 0 | Covered by 2 topics (13 questions, 2 materials, 13 cards, 0 videos). |
| 3. Recognizes concepts of rational numbers and their operations | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 4. Solves problems using the order of operations, including problems involving whole number exponents | M.Order of Operations | Covered | 25 | 1 | 1 | 1 | Covered by 1 topic (25 questions, 1 materials, 1 cards, 1 videos). |
| 5. Identifies properties of operations (e.g., commutative, associative, distributive) and uses them to solve problems | M.Operational Properties | Covered | 44 | 1 | 3 | 1 | Covered by 1 topic (44 questions, 1 materials, 3 cards, 1 videos). |
| 6. Represents rational numbers and their operations in different ways | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 7. Compares, classifies, and orders rational numbers | M.Whole Number Operations on a Number Line; M.Inverse Operations; M.Compare Places on a Number Line; M.Order Whole Numbers by Magnitude; M.Structure of Number Systems | Covered | 43 | 5 | 9 | 2 | Covered by 5 topics (43 questions, 5 materials, 9 cards, 2 videos). |
| 8. Converts between fractions, decimals, and percents | M.Fraction, Decimal, Percentage Conversions | Covered | 15 | 1 | 7 | 1 | Covered by 1 topic (15 questions, 1 materials, 7 cards, 1 videos). |
SMR I.C · Understands proportional relationships and percents116 questions · 5 materials · 5 cards · 4 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Applies the concepts of ratios and unit rates to describe relationships between two quantities | M.Ratios | Covered | 12 | 1 | 2 | 0 | Covered by 1 topic (12 questions, 1 materials, 2 cards, 0 videos). |
| 2. Understands percent as a rate per 100 | M.Ratios, Proportions, Percents | Covered | 37 | 1 | 3 | 1 | Covered by 1 topic (37 questions, 1 materials, 3 cards, 1 videos). |
| 3. Solves unit-rate problems | M.Unit Rates | Covered | 14 | 1 | 0 | 1 | Covered by 1 topic (14 questions, 1 materials, 0 cards, 1 videos). |
| 4. Uses proportional relationships to solve ratio and percent problems | M.Ratios, Proportions, Percents; M.Proportional Reasoning - Word Problems; M.Percent Change | Covered | 90 | 3 | 4 | 3 | Covered by 3 topics (90 questions, 3 materials, 4 cards, 3 videos). |
SMR I.D · Knows how to use basic concepts of number theory66 questions · 3 materials · 10 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Identifies and uses prime and composite numbers | M.Prime and Composite Numbers | Covered | 20 | 1 | 2 | 1 | Covered by 1 topic (20 questions, 1 materials, 2 cards, 1 videos). |
| 2. Finds factors and multiples of numbers | M.Factors; M.Prime Factorization | Covered | 46 | 2 | 8 | 2 | Covered by 2 topics (46 questions, 2 materials, 8 cards, 2 videos). |
SMR I.E · Knows a variety of strategies to determine the reasonableness of results40 questions · 2 materials · 7 cards · 0 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Recognizes the reasonableness of results within the context of a given problem | M.Reasonableness of Results | Covered | 16 | 1 | 0 | 0 | Covered by 1 topic (16 questions, 1 materials, 0 cards, 0 videos). |
| 2. Uses mental math, estimation, and rounding strategies to solve problems and determine reasonableness of results | M.Mental Math and Estimation | Covered | 24 | 1 | 7 | 0 | Covered by 1 topic (24 questions, 1 materials, 7 cards, 0 videos). |
Algebraic Thinking (Domain II)Partially covered
SMR II.A · Knows how to evaluate and manipulate algebraic expressions, equations, and formulas142 questions · 10 materials · 23 cards · 7 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Differentiates between algebraic expressions and equations | M.Forms of Equations | Covered | 7 | 1 | 9 | 1 | Covered by 1 topic (7 questions, 1 materials, 9 cards, 1 videos). |
| 2. Adds and subtracts linear algebraic expressions | M.Linear Expression Addition and Subtraction | Partially covered | 5 | 1 | 0 | 0 | Partial coverage by 1 topic (5 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 3. Uses the distributive property to generate equivalent linear algebraic expressions | M.Equivalence of Expressions - To Simplify; M.Equivalence of Expressions - To Expand | Covered | 30 | 2 | 9 | 1 | Covered by 2 topics (30 questions, 2 materials, 9 cards, 1 videos). |
| 4. Evaluates simple algebraic expressions (i.e., one variable, binomial) for given values of variables | M.Linear Expression Evaluation | Partially covered | 6 | 1 | 1 | 1 | Partial coverage by 1 topic (6 questions, 1 materials, 1 cards, 1 videos); limited supporting content. |
| 5. Uses mathematical terms to identify parts of expressions and describe expressions | M.Symbolic to Verbal | Covered | 10 | 1 | 5 | 1 | Covered by 1 topic (10 questions, 1 materials, 5 cards, 1 videos). |
| 6. Translates between verbal statements and algebraic expressions or equations (e.g., the phrase “the number of cookies Joe has is equal to twice the number of cookies Sue has” can be represented by the | M.Verbal to Symbolic Expression - Basic; M.Verbal to Symbolic Linear Equations | Covered | 65 | 2 | 5 | 1 | Covered by 2 topics (65 questions, 2 materials, 5 cards, 1 videos). |
| 7. Uses formulas to determine unknown quantities | M.Rearranging Formulas - Isolate | Covered | 11 | 1 | 0 | 1 | Covered by 1 topic (11 questions, 1 materials, 0 cards, 1 videos). |
| 8. Differentiates between dependent and independent variables in formulas | M.Dependent and Independent Variables | Covered | 8 | 1 | 2 | 1 | Covered by 1 topic (8 questions, 1 materials, 2 cards, 1 videos). |
SMR II.B · Understands the meanings of the solutions to linear equations and inequalities83 questions · 5 materials · 7 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Solves multistep one-variable linear equations and inequalities | M.Solve for x - Linear; M.Solving Linear Inequalities | Covered | 31 | 2 | 1 | 1 | Covered by 2 topics (31 questions, 2 materials, 1 cards, 1 videos). |
| 2. Interprets solutions of multistep one-variable linear equations and inequalities (e.g., graphs the solution on a number line, states constraints on a situation) | M.Linear Equation Word Problems; M.Interpreting Inequalities | Covered | 27 | 2 | 4 | 2 | Covered by 2 topics (27 questions, 2 materials, 4 cards, 2 videos). |
| 3. Uses linear relationships represented by equations, tables, and graphs to solve problems | M.Understanding Linear Equations and Their Properties | Covered | 25 | 1 | 2 | 0 | Covered by 1 topic (25 questions, 1 materials, 2 cards, 0 videos). |
SMR II.C · Knows how to recognize and represent patterns (e.g., number, shape)79 questions · 4 materials · 9 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Identifies, extends, describes, or generates number and shape patterns | M.Types of Sequences | Covered | 14 | 1 | 6 | 0 | Covered by 1 topic (14 questions, 1 materials, 6 cards, 0 videos). |
| 2. Makes conjectures, predictions, or generalizations based on patterns | M.Creating Formulas for Patterns - Arithmetic and Geometric | Covered | 29 | 1 | 2 | 1 | Covered by 1 topic (29 questions, 1 materials, 2 cards, 1 videos). |
| 3. Identifies relationships between the corresponding terms of two numerical patterns (e.g., find a rule for a function table) | M.Patterns - Developing an Expression; M.Patterns - Developing a Linear Formula | Covered | 36 | 2 | 3 | 2 | Covered by 2 topics (36 questions, 2 materials, 3 cards, 2 videos). |
Geometry and Measurement, Data, Statistics, and Probability (Domain III)Covered
SMR III.A · Understands how to classify one-, two-, and three-dimensional figures46 questions · 3 materials · 31 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Uses definitions to identify lines, rays, line segments, parallel lines, and perpendicular lines | M.Points, Lines, Planes, Angles | Covered | 13 | 1 | 13 | 1 | Covered by 1 topic (13 questions, 1 materials, 13 cards, 1 videos). |
| 2. Classifies angles based on their measure | M.Points, Lines, Planes, Angles | Covered | 13 | 1 | 13 | 1 | Covered by 1 topic (13 questions, 1 materials, 13 cards, 1 videos). |
| 3. Composes and decomposes two- and three-dimensional shapes | M.Area and Perimeter of Polygons - Irregular Shapes | Covered | 15 | 1 | 0 | 0 | Covered by 1 topic (15 questions, 1 materials, 0 cards, 0 videos). |
| 4. Uses attributes to classify or draw polygons and solids | M.Attributes of Two-Dimensional Shapes | Covered | 18 | 1 | 19 | 0 | Covered by 1 topic (18 questions, 1 materials, 19 cards, 0 videos). |
SMR III.B · Knows how to solve problems involving perimeter, area, surface area, and volume198 questions · 11 materials · 19 cards · 7 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Represents three-dimensional figures with nets | M.Attributes of Three Dimensional Figures; M.Nets; M.Pyramids and Prisms | Covered | 40 | 3 | 10 | 2 | Covered by 3 topics (40 questions, 3 materials, 10 cards, 2 videos). |
| 2. Uses nets that are made of rectangles and triangles to determine the surface area of three-dimensional figures | M.Surface Area in 3D | Covered | 18 | 1 | 4 | 1 | Covered by 1 topic (18 questions, 1 materials, 4 cards, 1 videos). |
| 3. Finds the area and perimeter of polygons, including those with fractional side lengths | M.Area and Perimeter of Polygons; M.Area and Perimeter of Rectangles and Triangles; M.Area and Perimeter of Polygons - Irregular Shapes | Covered | 69 | 3 | 2 | 1 | Covered by 3 topics (69 questions, 3 materials, 2 cards, 1 videos). |
| 4. Finds the volume and surface area of right rectangular prisms, including those with fractional edge lengths | M.Types of Prisms; M.Surface Area in 3D; M.Volume in 3D | Covered | 53 | 3 | 10 | 3 | Covered by 3 topics (53 questions, 3 materials, 10 cards, 3 videos). |
| 5. Determines how changes to dimensions change area and volume | M.Dimensional Changes Affecting Area and Volume; M.Proportional Reasoning - Scale Drawings | Covered | 36 | 2 | 1 | 1 | Covered by 2 topics (36 questions, 2 materials, 1 cards, 1 videos). |
SMR III.C · Knows the components of the coordinate plane and how to graph ordered pairs on the plane29 questions · 2 materials · 5 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Identifies the x-axis, the y-axis, the origin, and the four quadrants in the coordinate plane | M.The Coordinate Plane | Covered | 18 | 1 | 4 | 1 | Covered by 1 topic (18 questions, 1 materials, 4 cards, 1 videos). |
| 2. Solves problems by plotting points and drawing polygons in the coordinate plane | M.The Coordinate Plane; M.Coordinate Geometry | Covered | 29 | 2 | 5 | 1 | Covered by 2 topics (29 questions, 2 materials, 5 cards, 1 videos). |
SMR III.D · Knows how to solve problems involving measurement173 questions · 10 materials · 15 cards · 8 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Solves problems involving elapsed time, money, length, volume, and mass | M.United States Money; M.Calculating Elapsed Time | Covered | 31 | 2 | 0 | 1 | Covered by 2 topics (31 questions, 2 materials, 0 cards, 1 videos). |
| 2. Measures and compares lengths of objects using standard tools | M.Measurement Tools | Covered | 18 | 1 | 8 | 1 | Covered by 1 topic (18 questions, 1 materials, 8 cards, 1 videos). |
| 3. Knows relative sizes of United States customary units and metric units | M.Choosing Appropriate Units; M.Metric System Estimations; M.Metric System | Covered | 52 | 3 | 5 | 2 | Covered by 3 topics (52 questions, 3 materials, 5 cards, 2 videos). |
| 4. Converts units within both the United States customary system and the metric system | M.Metric System; M.Converting Units - Proportional Reasoning; M.Converting Units - Dimensional Analysis; M.Converting Units - Dimensional Analysis with Volume; M.Converting Units - Dimensional Analysis with Area | Covered | 91 | 5 | 6 | 5 | Covered by 5 topics (91 questions, 5 materials, 6 cards, 5 videos). |
SMR III.E · Is familiar with basic statistical concepts112 questions · 6 materials · 14 cards · 2 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Identifies statistical questions | M.Statistical Questions | Covered | 11 | 1 | 1 | 0 | Covered by 1 topic (11 questions, 1 materials, 1 cards, 0 videos). |
| 2. Solves problems involving measures of center (mean, median, mode) and range | M.Measures of Center and Range | Covered | 56 | 1 | 4 | 1 | Covered by 1 topic (56 questions, 1 materials, 4 cards, 1 videos). |
| 3. Recognizes which measure of center best describes a set of data | M.Choosing Measures of Center | Covered | 8 | 1 | 3 | 1 | Covered by 1 topic (8 questions, 1 materials, 3 cards, 1 videos). |
| 4. Determines how changes in data affect measures of center or range | M.Normal Distribution; M.Effect of Change in Data on Measures of Center and Range | Covered | 32 | 2 | 6 | 0 | Covered by 2 topics (32 questions, 2 materials, 6 cards, 0 videos). |
| 5. Describes a set of data (e.g., overall patterns, outliers) | M.Describing Data Patterns and Outliers | Covered | 5 | 1 | 11 | 0 | Covered by 1 topic (5 questions, 1 materials, 11 cards, 0 videos). |
SMR III.F · Knows how to represent and interpret data presented in various forms95 questions · 5 materials · 17 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Interprets various displays of data (e.g., box plots, histograms, scatterplots) | M.Data Analysis and Interpretation | Covered | 28 | 1 | 2 | 1 | Covered by 1 topic (28 questions, 1 materials, 2 cards, 1 videos). |
| 2. Identifies, constructs, and completes graphs that correctly represent given data (e.g., circle graphs, bar graphs, line graphs, histograms, scatterplots, double bar graphs, double line graphs, box plo | M.Graphs and Plots; M.Boxplots; M.Choosing a Graph or Plot | Covered | 58 | 3 | 17 | 2 | Covered by 3 topics (58 questions, 3 materials, 17 cards, 2 videos). |
| 3. Chooses appropriate graphs to display data | M.Appropriate vs Inappropriate Representations of Data | Covered | 9 | 1 | 0 | 0 | Covered by 1 topic (9 questions, 1 materials, 0 cards, 0 videos). |
SMR III.G · Is familiar with how to interpret the probability of events66 questions · 3 materials · 11 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Interprets probabilities relative to likelihood of occurrence | M.Probability; M.Diagrams; M.Expressing Probabilities | Covered | 66 | 3 | 11 | 1 | Covered by 3 topics (66 questions, 3 materials, 11 cards, 1 videos). |
How 240 Creates The Praxis Elementary Education: Multiple Subjects (5001) – Mathematics (5001) 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 Elementary Education: Multiple Subjects (5001) – Mathematics.
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 5001 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 Elementary Education: Multiple Subjects (5001) – Mathematics Study Guide
The questions teacher candidates ask us most often about the Praxis Elementary Education: Multiple Subjects (5001) – Mathematics study guide.
Is 240 a good study guide for Praxis Elementary Education: Multiple Subjects (5001) – Mathematics?
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 5001 exam?
This guide is 97% 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.