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 Fundamentals: 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 Fundamentals: Mathematics (8003) 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 8003 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
4Domains
55Competencies reviewed
86%Test-aligned
42Covered
11Partially covered
2Gaps
- 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 System33 questions · 3 materials · 4 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Represents numbers using base-10 model, standard form (numerals), written form (number names), and expanded form | M.Place Value - Elementary | Covered | 18 | 1 | 3 | 0 | Covered by 1 topic (18 questions, 1 materials, 3 cards, 0 videos). |
| 2. Composes and decomposes multidigit 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. Identifies the place a digit is in and its value in that place | M.Place Value - Elementary | Covered | 18 | 1 | 3 | 0 | Covered by 1 topic (18 questions, 1 materials, 3 cards, 0 videos). |
| 4. Uses whole-number exponents to denote powers of 10 and 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 several places to the right or left | M.Place Value - Powers of 10 | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
SMR I.B · Understands Operations and Properties of Rational Numbers440 questions · 24 materials · 79 cards · 13 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Uses concepts of one-to-one correspondence, counting, skip counting, and cardinality to solve problems | M.Number Sense for Young Children; M.Counting Techniques | Covered | 37 | 2 | 9 | 0 | Covered by 2 topics (37 questions, 2 materials, 9 cards, 0 videos). |
| 2. Identifies different problem situations for the operations (e.g., addition as putting together, subtraction as a comparison, multiplication as equal groups, repeated addition, arrays, division as sharing, repeated subtraction) | M.Basic Operations | Covered | 20 | 1 | 9 | 0 | Covered by 1 topic (20 questions, 1 materials, 9 cards, 0 videos). |
| 3. Solves multistep mathematical and real-world problems using addition, subtraction, multiplication, and division of rational numbers; interprets the solutions of the problems (e.g., remainders) | M.Integers in Word Problems; M.Interpreting Remainders | Covered | 28 | 2 | 3 | 1 | Covered by 2 topics (28 questions, 2 materials, 3 cards, 1 videos). |
| 4. Uses various strategies and algorithms to perform operations on rational numbers | M.Operational Algorithm Relationships; M.Fraction Operations - Add and Subtract; M.Fraction Operations - Multiply and Divide; M.Fraction Operations - Mixed Numbers | Covered | 55 | 4 | 27 | 0 | Covered by 4 topics (55 questions, 4 materials, 27 cards, 0 videos). |
| 5. Uses mental computation, estimation, and rounding strategies to solve problems and to determine reasonableness of the results | M.Mental Math and Estimation | Covered | 24 | 1 | 7 | 0 | Covered by 1 topic (24 questions, 1 materials, 7 cards, 0 videos). |
| 6. 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). |
| 7. 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). |
| 8. Solves problems involving odd and even numbers, prime and composite numbers, factors, and multiples of numbers | M.Prime and Composite Numbers; M.Prime Factorization; M.Factors; M.GCF and LCM | Covered | 74 | 4 | 10 | 3 | Covered by 4 topics (74 questions, 4 materials, 10 cards, 3 videos). |
| 9. Applies concepts of fractions (e.g., fractions as numbers less than 1 and greater than 1, as part-whole relationships, as multiples of unit fractions, and as division; equipartitioning; equivalent fractions; the fact that the value of a unit fraction decreases as the value of the denominator increases; the fact that fraction comparisons are valid only when the fractions refer to the same whole) to solve problems | M.Fractions; M.Comparing Fractions; M.Representations of Fractions in Word Problems | Covered | 60 | 3 | 11 | 2 | Covered by 3 topics (60 questions, 3 materials, 11 cards, 2 videos). |
| 10. Represents rational numbers and operations on rational numbers in different ways (e.g., base-10 blocks, equations, number lines, rectangular arrays, area models) | M.Models for Addition and Subtraction; M.Models for Multiplication and Division | Covered | 19 | 2 | 5 | 2 | Covered by 2 topics (19 questions, 2 materials, 5 cards, 2 videos). |
| 11. Compares, classifies, and orders rational numbers | M.Order Real Numbers by Magnitude; M.Structure of Number Systems | Covered | 39 | 2 | 7 | 2 | Covered by 2 topics (39 questions, 2 materials, 7 cards, 2 videos). |
| 12. Converts between fractions and decimals | 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 Ratios, Proportional Relationships, and Percents66 questions · 4 materials · 4 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Finds a percent of a quantity as a rate per 100 | M.Ratios and Percents | Covered | 25 | 1 | 2 | 0 | Covered by 1 topic (25 questions, 1 materials, 2 cards, 0 videos). |
| 2. Uses the language of ratio and rate 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). |
| 3. Identifies proportional relationships and uses them to solve problems (e.g., unit rates) | M.Proportions; M.Unit Rates | Covered | 29 | 2 | 3 | 1 | Covered by 2 topics (29 questions, 2 materials, 3 cards, 1 videos). |
Algebraic Thinking (Domain II)Partially covered
SMR II.A · Knows How to Create, Evaluate, and Manipulate Algebraic Expressions, Equations, Inequalities, and Formulas146 questions · 13 materials · 18 cards · 7 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Recognizes the meaning of the equal sign and what it means for algebraic expressions and equations to be considered equivalent | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 2. Differentiates among algebraic expressions, equations, and inequalities | M.Forms of Equations | Covered | 7 | 1 | 9 | 1 | Covered by 1 topic (7 questions, 1 materials, 9 cards, 1 videos). |
| 3. Identifies equivalent linear algebraic expressions by adding and subtracting like terms and using the distributive property | M.Equivalence of Expressions - To Simplify; M.Linear Expression Addition and Subtraction | Covered | 27 | 2 | 4 | 1 | Covered by 2 topics (27 questions, 2 materials, 4 cards, 1 videos). |
| 4. Evaluates simple algebraic expressions (i.e., one variable with up to 2 terms) 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 (i.e., sum, difference, product, quotient, factor, term, coefficient, variable, constant term) | M.Basic Polynomials | Covered | 9 | 1 | 0 | 1 | Covered by 1 topic (9 questions, 1 materials, 0 cards, 1 videos). |
| 6. Translates between verbal statements and algebraic expressions, equations, or inequalities | M.Verbal to Symbolic Linear Equations; M.Symbolic to Verbal | Covered | 32 | 2 | 8 | 1 | Covered by 2 topics (32 questions, 2 materials, 8 cards, 1 videos). |
| 7. Solves multistep one-variable linear equations and inequalities | M.Linear Equation Word Problems; M.Solving One-Variable Equations; M.Solving Linear Inequalities; M.Linear Inequality Word Problems | Covered | 42 | 3 | 1 | 1 | Covered by 4 topics (42 questions, 3 materials, 1 cards, 1 videos). |
| 8. Interprets solutions of multistep one-variable linear equations and inequalities (e.g., graphs the solution on a number line, interprets a solution in context) | M.Solving Compound Linear Inequalities; M.Solve Linear Inequalities - Graphically | Covered | 14 | 2 | 2 | 1 | Covered by 2 topics (14 questions, 2 materials, 2 cards, 1 videos). |
| 9. Uses formulas to determine unknown quantities | M.Rearranging Formulas | Covered | 9 | 1 | 0 | 0 | Covered by 1 topic (9 questions, 1 materials, 0 cards, 0 videos). |
SMR II.B · Knows How to Recognize and Represent Linear Relationships69 questions · 4 materials · 7 cards · 1 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Identifies, extends, describes, and generates number and shape patterns that increase or decrease linearly | M.Creating Formulas for Patterns - Arithmetic and Geometric; M.Patterns - Basic | Covered | 39 | 2 | 5 | 1 | Covered by 2 topics (39 questions, 2 materials, 5 cards, 1 videos). |
| 2. Finds a rule or relationship between the corresponding terms of two linear numerical patterns | M.Sequences - Find overlap | Partially covered | 5 | 1 | 0 | 0 | Partial coverage by 1 topic (5 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 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). |
Geometry, Measurement, and Data (Domain III)Partially covered
SMR III.A · Knows Concepts of Geometry82 questions · 8 materials · 45 cards · 3 videosPartially covered
| 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 measures | 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.Combine and Dissect 2D Figures; M.Combine and Dissect 3D Figures | Covered | 14 | 2 | 2 | 0 | Covered by 2 topics (14 questions, 2 materials, 2 cards, 0 videos). |
| 4. Classifies polygons and solids using their properties | M.Attributes of Polygons - Advanced; M.Attributes of Three Dimensional Figures | Covered | 25 | 2 | 28 | 1 | Covered by 2 topics (25 questions, 2 materials, 28 cards, 1 videos). |
| 5. Identifies lines of symmetry and line-symmetric polygons | M.Attributes of Polygons - Lines of Symmetry | Partially covered | 1 | 1 | 0 | 0 | Partial coverage by 1 topic (1 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 6. Solves problems by plotting points and drawing polygons in the xy-plane | M.Coordinate Geometry; M.The Coordinate Plane | Covered | 29 | 2 | 5 | 1 | Covered by 2 topics (29 questions, 2 materials, 5 cards, 1 videos). |
SMR III.B · Knows Concepts of Measurement183 questions · 7 materials · 17 cards · 5 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Finds the area and perimeter of polygons, including those with fractional side lengths | M.Area and Perimeter of Polygons | Covered | 48 | 1 | 2 | 0 | Covered by 1 topic (48 questions, 1 materials, 2 cards, 0 videos). |
| 2. Finds the volume and surface area of right rectangular prisms, including those with fractional edge lengths | M.Surface Area in 3D; M.Volume in 3D | Covered | 51 | 2 | 5 | 2 | Covered by 2 topics (51 questions, 2 materials, 5 cards, 2 videos). |
| 3. Represents three-dimensional figures with nets that are made of rectangles and triangles and uses nets to determine the surface area of three-dimensional figures | M.Nets | Covered | 17 | 1 | 1 | 0 | Covered by 1 topic (17 questions, 1 materials, 1 cards, 0 videos). |
| 4. Calculates changes to perimeter, area, and volume as dimensions change | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| 5. Solves measurement and conversion problems involving money, length, volume, mass, and elapsed time in standard measurement systems | M.Converting Units - Proportional Reasoning; M.Converting Units - Dimensional Analysis | Covered | 49 | 2 | 2 | 2 | Covered by 2 topics (49 questions, 2 materials, 2 cards, 2 videos). |
| 6. Selects appropriate tools to measure the attributes of objects | M.Measurement Tools | Covered | 18 | 1 | 8 | 1 | Covered by 1 topic (18 questions, 1 materials, 8 cards, 1 videos). |
SMR III.C · Knows Basic Concepts of Data139 questions · 5 materials · 26 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Collects data using appropriate statistical questions to identify, construct, and complete graphs that correctly represent the data (e.g., circle graphs, bar graphs, line graphs, histograms, scatterplots, double bar graphs, double line graphs, box plots, line plots/dot plots) | M.Graphs and Plots; M.Sampling Methods | Covered | 44 | 2 | 14 | 1 | Covered by 2 topics (44 questions, 2 materials, 14 cards, 1 videos). |
| 2. Interprets various displays of data (e.g., box plots, histograms, scatterplots) | M.Graphs and Plots; M.Data Analysis and Interpretation; M.Boxplots | Covered | 71 | 3 | 17 | 2 | Covered by 3 topics (71 questions, 3 materials, 17 cards, 2 videos). |
| 3. Describes a set of data using measures of center (e.g., mean, median), measures of spread (e.g., range, interquartile range), and shape | M.Measures of Center and Range | Covered | 56 | 1 | 4 | 1 | Covered by 1 topic (56 questions, 1 materials, 4 cards, 1 videos). |
| 4. Determines how changes in data affect measures of center and measures of spread | M.Measures of Center and Range | Covered | 56 | 1 | 4 | 1 | Covered by 1 topic (56 questions, 1 materials, 4 cards, 1 videos). |
Tasks of Teaching Mathematics (Domain IV)Partially covered
SMR IV.A · Instruction17 questions · 0 materials · 0 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Evaluates mathematical language (e.g., explanations, justifications, definitions) to determine its validity, generalizability, coherence, precision, usefulness in a particular context, or how it can be improved | M.Justifications, Explanations, and Definitions (ToT) - Elementary | Covered | 9 | 0 | 0 | 0 | Covered by 1 topic (9 questions, 0 materials, 0 cards, 0 videos). |
| 2. Identifies problems, tasks, examples, and questions that fit a particular structure, illustrate a concept, demonstrate desired characteristics, or are useful for introducing a concept | M.Problems, Tasks, Examples, and Procedures (ToT) - Elementary | Partially covered | 3 | 0 | 0 | 0 | Partial coverage by 1 topic (3 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
| 3. Identifies problems, tasks, examples, or questions that incorporate mathematical practices (e.g., constructing viable arguments, modeling with mathematics, attending to precision) | M.Problems, Tasks, Examples, and Procedures (ToT) - Elementary | Partially covered | 3 | 0 | 0 | 0 | Partial coverage by 1 topic (3 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
| 4. Identifies problems, tasks, examples, and questions that support a strategy or address a student question or misconception | M.Problems, Tasks, Examples, and Procedures (ToT) - Elementary | Partially covered | 3 | 0 | 0 | 0 | Partial coverage by 1 topic (3 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
| 5. Identifies counterexamples that highlight a mathematical distinction or demonstrate why a student conjecture is incorrect or partially incorrect | M.Problems, Tasks, Examples, and Procedures (ToT) - Elementary | Partially covered | 3 | 0 | 0 | 0 | Partial coverage by 1 topic (3 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
| 6. Evaluates representations (e.g., visual, physical, symbolic) in terms of validity, generalizability, usefulness for supporting students’ understanding, or fit to the content being represented | M.Representations, Models, and Technology (ToT) - Elementary | Partially covered | 5 | 0 | 0 | 0 | Partial coverage by 1 topic (5 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
SMR IV.B · Student Reasoning6 questions · 0 materials · 0 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Evaluates and compares student work (e.g., solutions, conjectures, explanations, justifications, generalizations, representations) in terms of validity, generalizability, coherence, or precision | M.Student Reasoning and Misconceptions (ToT) - Elementary | Partially covered | 6 | 0 | 0 | 0 | Partial coverage by 1 topic (6 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
| 2. Evaluates student work to identify the use of a particular concept, idea, or strategy | M.Student Reasoning and Misconceptions (ToT) - Elementary | Partially covered | 6 | 0 | 0 | 0 | Partial coverage by 1 topic (6 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
How 240 Creates The Praxis Elementary Education Fundamentals: Mathematics (8003) 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 Fundamentals: 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 8003 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 Fundamentals: Mathematics Study Guide
The questions teacher candidates ask us most often about the Praxis Elementary Education Fundamentals: Mathematics study guide.
Is 240 a good study guide for Praxis Elementary Education Fundamentals: 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 8003 exam?
This guide is 86% 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.