Coverage by content domain
Lessons and questions are organized around the exam’s content areas so your preparation reflects the structure of the assessment.
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Praxis test alignment
240's Praxis Algebra I study guide is built around the official exam framework so you can study what is actually tested. This page shows exactly how the guide maps to the real exam — SMR by SMR and competency by competency.
Based on a competency-by-competency review of the official framework and the lessons, practice questions, flashcards, videos, and study materials included in this guide.
Transparent coverage
Our curriculum team begins with the official test framework, identifies the knowledge and skills candidates are expected to demonstrate, and maps instruction and practice to those expectations.
Lessons and questions are organized around the exam’s content areas so your preparation reflects the structure of the assessment.
Every competency is marked covered, partially covered, or a gap, so you can see where the guide is strongest and where to add your own review.
Alignment records provide a maintainable source of truth when exam frameworks, names, or objectives are updated.
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 Algebra I (5162) test — so you are not wasting time on broad subject review that may not show up on exam day.
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.
3Domains
77Competencies reviewed
88%Test-aligned
58Covered
19Partially covered
0Gaps
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.
SMR I.A · Understands how to write algebraic expressions in equivalent forms108 questions · 7 materials · 17 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Interprets the parts of an expression (e.g., terms, factors, coefficients) | M.Forms of Equations | Covered | 7 | 1 | 9 | 1 | Covered by 1 topic (7 questions, 1 materials, 9 cards, 1 videos). |
| 2. Uses the structure of an expression to identify ways to rewrite it | M.Equivalence of Expressions - To Simplify; M.Verbal to Symbolic Expression - Basic | Covered | 65 | 2 | 4 | 2 | Covered by 2 topics (65 questions, 2 materials, 4 cards, 2 videos). |
| 3. Understands how to rewrite quadratic expressions for specific purposes (e.g., factoring/finding zeros, completing the square/finding maxima or minima) | M.Quadratic Equation - Solve via Factoring; M.Quadratic Equation - Solve via Complete the Square; M.Quadratic Equations - Forms | Covered | 20 | 3 | 4 | 0 | Covered by 3 topics (20 questions, 3 materials, 4 cards, 0 videos). |
| 4. Uses the properties of exponents to rewrite expressions for exponential functions | M.Advanced Equivalence of Expressions - To Simplify | Covered | 16 | 1 | 1 | 0 | Covered by 1 topic (16 questions, 1 materials, 1 cards, 0 videos). |
SMR I.B · Understands how to perform arithmetic operations on polynomials18 questions · 2 materials · 6 cards · 0 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Adds, subtracts, and multiplies polynomials | M.Linear Expression Addition and Subtraction; M.Polynomials | Covered | 18 | 2 | 6 | 0 | Covered by 2 topics (18 questions, 2 materials, 6 cards, 0 videos). |
SMR I.C · Understands how to create equations and inequalities that describe relationships72 questions · 6 materials · 9 cards · 4 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Creates equations and inequalities in one variable and uses them to solve problems and graph solutions on the number line | M.Compound Inequalities on Number Line | Partially covered | 0 | 1 | 3 | 1 | Partial coverage by 1 topic (0 questions, 1 materials, 3 cards, 1 videos); limited supporting content. |
| 2. Creates equations and inequalities to represent relationships between quantities, solves problems, and graphs them on the coordinate plane with labels and scales | M.Linear Equation Word Problems; M.Interpreting Inequalities; M.Understanding Linear Equations and Their Properties | Covered | 52 | 3 | 6 | 2 | Covered by 3 topics (52 questions, 3 materials, 6 cards, 2 videos). |
| 3. Represents constraints by equations, inequalities, or systems of equations and/or inequalities and interprets solutions as viable or nonviable options in a modeling context | M.Linear Equation Word Problems | Covered | 15 | 1 | 0 | 1 | Covered by 1 topic (15 questions, 1 materials, 0 cards, 1 videos). |
| 4. Rearranges formulas to highlight a quantity of interest (e.g., solve d = rt for t) | M.Rearranging Formulas; M.Rearranging Formulas - Isolate | Covered | 20 | 2 | 0 | 1 | Covered by 2 topics (20 questions, 2 materials, 0 cards, 1 videos). |
SMR I.D · Understands how to justify the reasoning process used to solve equations16 questions · 1 materials · 4 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Explains each step in solving a simple equation | M.Properties of Equality | Covered | 16 | 1 | 4 | 1 | Covered by 1 topic (16 questions, 1 materials, 4 cards, 1 videos). |
SMR I.E · Understands how varied techniques (e.g., graphical, algebraic) are used to solve equations and inequalities91 questions · 10 materials · 9 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Solves linear equations and inequalities, including equations with coefficients represented by letters | M.Solve for x - Linear; M.Solve Linear Inequalities - Graphically; M.Solving Linear Inequalities | Covered | 38 | 3 | 2 | 2 | Covered by 3 topics (38 questions, 3 materials, 2 cards, 2 videos). |
| 2. Uses the method of completing the square to transform any quadratic equation in x into the equivalent form (x - p)^2=q | M.Quadratic Equation - Solve via Complete the Square | Covered | 10 | 1 | 1 | 0 | Covered by 1 topic (10 questions, 1 materials, 1 cards, 0 videos). |
| 3. Solves equations using a variety of methods (e.g., using graphs, using the quadratic formula, factoring) | M.Advanced Factoring Polynomials; M.Quadratic Equations; M.Quadratic Equation - Solve via Graphing; M.Quadratic Equation - Solve via Factoring; M.Quadratic Equation - Solve via Quadratic Formula; M.Advanced Quadratic Equation - Real World Problems | Covered | 43 | 6 | 6 | 1 | Covered by 6 topics (43 questions, 6 materials, 6 cards, 1 videos). |
| 4. Uses different methods (e.g., discriminant analysis, graphical analysis) to determine the nature of the solutions of a quadratic equation | M.Quadratic Equation - Solve via Graphing; M.Quadratic Equation - Solve via Quadratic Formula | Covered | 10 | 2 | 2 | 0 | Covered by 2 topics (10 questions, 2 materials, 2 cards, 0 videos). |
SMR I.F · Understands how varied techniques (e.g., graphical, algebraic) are used to solve systems of equations and inequalities42 questions · 5 materials · 5 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Explains why, when solving a system of two equations using the elimination method, replacing one or both equations with a scalar multiple produces a system with the same solutions as the solutions | M.Solving Systems of Linear Equations; M.Solving Systems of Linear Equations - Scalar Note | Covered | 18 | 2 | 3 | 1 | Covered by 2 topics (18 questions, 2 materials, 3 cards, 1 videos). |
| 2. Solves a system consisting of two linear equations in two variables algebraically and graphically | M.Solving Systems of Linear Equations | Covered | 13 | 1 | 1 | 1 | Covered by 1 topic (13 questions, 1 materials, 1 cards, 1 videos). |
| 3. Solves a system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically | M.Solving Systems of Quadratic Equations; M.Solving Mixed Systems | Covered | 16 | 2 | 2 | 0 | Covered by 2 topics (16 questions, 2 materials, 2 cards, 0 videos). |
| 4. Explains why the x-coordinates of the intersection points of the graphs of y = f(x) and y = g(x) are the solutions of f(x) = g(x) | M.Solving Systems of Linear Equations | Covered | 13 | 1 | 1 | 1 | Covered by 1 topic (13 questions, 1 materials, 1 cards, 1 videos). |
| 5. Finds the solutions of f(x) = g(x) approximately (e.g., uses technology to graph the functions, makes tables of values, finds successive approximations); includes cases where f(x) and/or g(x) are lin | M.Solving Systems of Linear Equations | Covered | 13 | 1 | 1 | 1 | Covered by 1 topic (13 questions, 1 materials, 1 cards, 1 videos). |
| 6. Graphs the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality) and graphs the solution set to a system of linear inequalities | M.Solving Systems of Linear Inequalities | Covered | 8 | 1 | 0 | 0 | Covered by 1 topic (8 questions, 1 materials, 0 cards, 0 videos). |
SMR I.G · Understands the concept of rate of change of nonlinear functions11 questions · 1 materials · 4 cards · 0 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Calculates and interprets the average rate of change of a function presented symbolically, numerically, or graphically over a specified interval | M.Rates of Change - Average vs Instantaneous | Covered | 11 | 1 | 4 | 0 | Covered by 1 topic (11 questions, 1 materials, 4 cards, 0 videos). |
SMR I.H · Understands the concepts of intercept(s) of a line and slope as a rate of change4 questions · 1 materials · 0 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Calculates and interprets the intercepts of a line | M.Linear Equation Word Problems - More Slope | Partially covered | 4 | 1 | 0 | 0 | Partial coverage by 1 topic (4 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 2. Calculates and interprets the slope of a line presented symbolically, numerically, or graphically | M.Linear Equation Word Problems - More Slope | Partially covered | 4 | 1 | 0 | 0 | Partial coverage by 1 topic (4 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 3. Estimates the rate of change of a linear function from a graph | M.Linear Equation Word Problems - More Slope | Partially covered | 4 | 1 | 0 | 0 | Partial coverage by 1 topic (4 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
SMR II.A · Understands the function concept and the use of function notation105 questions · 8 materials · 22 cards · 2 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Understands that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range | M.Relation and Function Representations | Covered | 39 | 1 | 4 | 0 | Covered by 1 topic (39 questions, 1 materials, 4 cards, 0 videos). |
| 2. Uses function notation, evaluates functions, and interprets statements that use function notation in terms of a context | M.Dependent and Independent Variables; M.Symbolic to Verbal; M.Verbal to Symbolic Linear Equations; M.Relation and Function Representations; M.Understanding Linear Functions and Their Properties | Covered | 94 | 5 | 17 | 2 | Covered by 5 topics (94 questions, 5 materials, 17 cards, 2 videos). |
| 3. Recognizes that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers | M.Recursion and Iteration | Partially covered | 3 | 1 | 1 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 1 cards, 0 videos); limited supporting content. |
| 4. Determines the domain and range of a function from a function rule (e.g., f(x) = 2x + 1), graph, set of ordered pairs, or table | M.Domain and Range - Discrete; M.Domain and Range - Continuous | Covered | 8 | 2 | 6 | 0 | Covered by 2 topics (8 questions, 2 materials, 6 cards, 0 videos). |
SMR II.B · Understands how function behavior is analyzed using different representations (e.g., graphs, mappings, tables)74 questions · 11 materials · 13 cards · 1 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. For a function that models a relationship between two quantities, interprets key features of graphs and tables (e.g., increasing/decreasing, maximum/minimum) in terms of the quantities | M.Conjectures from Graphs | Partially covered | 0 | 0 | 0 | 0 | Partial coverage by 1 topic (0 questions, 0 materials, 0 cards, 0 videos); limited supporting content. |
| 2. Given a verbal description of a relation, sketches graphs that show key features of that relation | M.Sketch a Quadratic - Standard Form; M.Sketch a Quadratic - Vertex Form; M.Parent Functions | Covered | 26 | 3 | 3 | 1 | Covered by 3 topics (26 questions, 3 materials, 3 cards, 1 videos). |
| 3. Graphs functions (i.e., linear, quadratic, exponential, piecewise, absolute value, step) expressed symbolically and identifies key features of the graph | M.Absolute Value Functions; M.Piecewise Functions; M.Sketch a Quadratic - Standard Form; M.Sketch a Quadratic - Vertex Form; M.Parent Functions; M.Technology and Trigonometric Function Problems | Covered | 35 | 6 | 5 | 1 | Covered by 6 topics (35 questions, 6 materials, 5 cards, 1 videos). |
| 4. Writes a function that is defined by an expression in different but equivalent forms to reveal different properties of the function (e.g., zeros, extreme values, symmetry of the graph) | M.Linear Equations - Rearrange to Slope-Intercept Form; M.Linear Equations - Standard Form | Covered | 10 | 2 | 1 | 0 | Covered by 2 topics (10 questions, 2 materials, 1 cards, 0 videos). |
| 5. Interprets the behavior of exponential functions (e.g., growth, decay) | M.Exponential Functions; M.Exponential Functions - Asymptotes | Covered | 16 | 2 | 5 | 0 | Covered by 2 topics (16 questions, 2 materials, 5 cards, 0 videos). |
| 6. Understands how to determine whether a function is odd, even, or neither, and any resulting symmetries | M.Even and Odd Functions | Covered | 13 | 1 | 2 | 0 | Covered by 1 topic (13 questions, 1 materials, 2 cards, 0 videos). |
SMR II.C · Understands how functions and relations are used to model relationships between quantities87 questions · 7 materials · 16 cards · 3 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Writes a function that relates two quantities | 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). |
| 2. Determines an explicit expression or a recursive process that builds a function from a context | M.Recursion and Iteration | Partially covered | 3 | 1 | 1 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 1 cards, 0 videos); limited supporting content. |
| 3. Writes arithmetic and geometric sequences both recursively and with an explicit formula, and uses them to model situations | M.Patterns - Developing an Expression; M.Types of Sequences; M.Patterns - Developing a Linear Formula | Covered | 50 | 3 | 9 | 2 | Covered by 3 topics (50 questions, 3 materials, 9 cards, 2 videos). |
| 4. Translates between recursive and explicit forms of arithmetic and geometric sequences | M.Patterns - Developing an Expression; M.Fibonacci Sequences; M.Concepts of Series and Sequence | Covered | 24 | 3 | 9 | 1 | Covered by 3 topics (24 questions, 3 materials, 9 cards, 1 videos). |
SMR II.D · Understands how new functions are obtained from existing functions (e.g., transformations, inverses)40 questions · 4 materials · 13 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Describes how the graph of g(x) is related to the graph of f(x), where g(x) = f(x) + k, g(x) = k f(x), g(x) = f(kx), or g(x) = f(x + k) for specific values of k (both positive and negative) and finds | M.Function Composition and Inversion | Covered | 21 | 1 | 2 | 0 | Covered by 1 topic (21 questions, 1 materials, 2 cards, 0 videos). |
| 2. Determines whether a function has an inverse and writes an expression for the inverse | M.Function Composition and Inversion; M.Determine the Validity of an Inverse | Covered | 24 | 2 | 7 | 0 | Covered by 2 topics (24 questions, 2 materials, 7 cards, 0 videos). |
| 3. Combines standard function types using arithmetic operations | M.Function Composition and Inversion; M.Functional Transformations - Linear and Quadratic | Covered | 35 | 2 | 8 | 0 | Covered by 2 topics (35 questions, 2 materials, 8 cards, 0 videos). |
| 4. Performs domain analysis on functions resulting from arithmetic operations | M.Advanced Domain and Range of Functions - Composition | Partially covered | 2 | 1 | 0 | 0 | Partial coverage by 1 topic (2 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
SMR II.E · Understands differences between linear, quadratic, and exponential models, including how their equations are created and used to solve problems116 questions · 8 materials · 17 cards · 3 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Understands that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals | M.Types of Sequences | Covered | 14 | 1 | 6 | 0 | Covered by 1 topic (14 questions, 1 materials, 6 cards, 0 videos). |
| 2. Recognizes situations in which one quantity changes at a constant rate per unit interval relative to another | M.Unit Rates; M.Patterns - Developing a Linear Formula | Covered | 31 | 2 | 2 | 2 | Covered by 2 topics (31 questions, 2 materials, 2 cards, 2 videos). |
| 3. Recognizes situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another | M.Exponential Functions - Real World Problems | Covered | 17 | 1 | 5 | 0 | Covered by 1 topic (17 questions, 1 materials, 5 cards, 0 videos). |
| 4. Constructs linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two ordered pairs (including reading these from a table | M.Patterns - Developing a Linear Formula; M.Creating Formulas for Patterns - Arithmetic and Geometric | Covered | 46 | 2 | 4 | 2 | Covered by 2 topics (46 questions, 2 materials, 4 cards, 2 videos). |
| 5. Observes that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function | M.Exponential Functions; M.Exponential Functions - Real World Problems | Covered | 29 | 2 | 5 | 0 | Covered by 2 topics (29 questions, 2 materials, 5 cards, 0 videos). |
| 6. Interprets the parameters in a linear or exponential function in terms of a context (e.g., A(t)=P e^(rt)) | M.Exponential Functions - Real World Problems - Compound Interest | Covered | 11 | 1 | 4 | 0 | Covered by 1 topic (11 questions, 1 materials, 4 cards, 0 videos). |
| 7. Uses quantities that are inversely related to model phenomena | M.Direct and Indirect Variation | Partially covered | 2 | 1 | 2 | 0 | Partial coverage by 1 topic (2 questions, 1 materials, 2 cards, 0 videos); limited supporting content. |
SMR III.A · Understands the properties of radicals and exponents71 questions · 6 materials · 3 cards · 3 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Performs operations involving exponents, including negative and rational exponents | M.Properties of Exponents; M.Radicals and Exponents | Covered | 30 | 2 | 2 | 1 | Covered by 2 topics (30 questions, 2 materials, 2 cards, 1 videos). |
| 2. Demonstrates an understanding of the properties of exponential expressions | M.Radicals and Exponents | Partially covered | 5 | 1 | 1 | 1 | Partial coverage by 1 topic (5 questions, 1 materials, 1 cards, 1 videos); limited supporting content. |
| 3. Uses the properties of radicals and exponents to rewrite expressions that have radicals or rational exponents | M.Properties of Exponents - Applying Multiple Properties; M.Radicals and Exponents | Covered | 25 | 2 | 2 | 1 | Covered by 2 topics (25 questions, 2 materials, 2 cards, 1 videos). |
| 4. Represents and compares very large and very small numbers (e.g., scientific notation, orders of magnitude) | M.Exponential and Scientific Notation | Covered | 12 | 1 | 2 | 1 | Covered by 1 topic (12 questions, 1 materials, 2 cards, 1 videos). |
| 5. Uses order of magnitude to estimate very large and very small numbers | M.Exponential and Scientific Notation; M.Place Value - Powers of 10 | Covered | 14 | 2 | 2 | 1 | Covered by 2 topics (14 questions, 2 materials, 2 cards, 1 videos). |
| 6. Performs calculations on numbers in scientific notation | M.Exponential and Scientific Notation; M.Scientific Notation Operations | Covered | 19 | 2 | 2 | 2 | Covered by 2 topics (19 questions, 2 materials, 2 cards, 2 videos). |
SMR III.B · Understands the properties of rational and irrational numbers3 questions · 1 materials · 0 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Recognizes that the sum or product of two rational numbers is rational | M.Operations and Rational and Irrational Numbers | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 2. Recognizes that the sum of a rational number and an irrational number is irrational | M.Operations and Rational and Irrational Numbers | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 3. Recognizes that the product of a nonzero rational number and an irrational number is irrational | M.Operations and Rational and Irrational Numbers | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 4. Recognizes that the sum or product of two irrational numbers can be rational or irrational | M.Operations and Rational and Irrational Numbers | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
SMR III.C · Understands how to reason quantitatively and use units to solve problems103 questions · 7 materials · 13 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Uses units as a way to understand problems and guide the solution of multistep problems | M.Choosing Appropriate Units; M.Converting Units - Proportional Reasoning; M.Converting Units - Dimensional Analysis | Covered | 65 | 3 | 4 | 3 | Covered by 3 topics (65 questions, 3 materials, 4 cards, 3 videos). |
| 2. Chooses and interprets units consistently in formulas | M.Choosing Appropriate Units | Covered | 16 | 1 | 2 | 1 | Covered by 1 topic (16 questions, 1 materials, 2 cards, 1 videos). |
| 3. Chooses and interprets the scale and the origin in graphs and data displays | M.Basics of Graphing Calculators; M.Appropriate vs Inappropriate Representations of Data | Covered | 11 | 2 | 0 | 0 | Covered by 2 topics (11 questions, 2 materials, 0 cards, 0 videos). |
| 4. 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). |
| 5. Chooses a level of accuracy appropriate to limitations on measurement when reporting quantities | M.Measurement Principles | Covered | 11 | 1 | 9 | 0 | Covered by 1 topic (11 questions, 1 materials, 9 cards, 0 videos). |
SMR III.D · Understands how to summarize, represent, and interpret data collected from measurements on a single variable (e.g., boxplots, dotplots, normal distributions)173 questions · 9 materials · 37 cards · 2 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Represents data with plots on the real number line (e.g., dotplots, histograms, and boxplots) | M.Graphs and Plots; M.Boxplots | Covered | 43 | 2 | 17 | 1 | Covered by 2 topics (43 questions, 2 materials, 17 cards, 1 videos). |
| 2. Uses statistics appropriate to the shape of the data distribution to compare center (e.g., median, mean) and spread (e.g., interquartile range, standard deviation) of two or more different data sets | M.Normal Distribution; M.Using Distributions; M.Uniform Distributions; M.Measures of Center and Range; M.Advanced Measures of Center and Range | Covered | 109 | 5 | 18 | 1 | Covered by 5 topics (109 questions, 5 materials, 18 cards, 1 videos). |
| 3. Interprets differences in shape, center, and spread in the context of the data sets, accounting for possible effects of outliers | M.Describing Data Patterns and Outliers; M.Effect of Change in Data on Measures of Center and Range | Covered | 21 | 2 | 13 | 0 | Covered by 2 topics (21 questions, 2 materials, 13 cards, 0 videos). |
SMR III.E · Understands how to summarize, represent, and interpret data collected from measurements on two variables, either categorical or quantitative (e.g., scatterplots, time series)35 questions · 3 materials · 20 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Summarizes and interprets categorical data for two categories in two-way frequency tables (e.g., joint, marginal, conditional relative frequencies) | M.Bivariate Data Analysis; M.Chi-Square Test | Covered | 23 | 2 | 14 | 1 | Covered by 2 topics (23 questions, 2 materials, 14 cards, 1 videos). |
| 2. Recognizes possible associations and trends in the data | M.Advanced Bivariate Data Analysis | Covered | 12 | 1 | 10 | 0 | Covered by 1 topic (12 questions, 1 materials, 10 cards, 0 videos). |
| 3. Represents data for two quantitative variables on a scatterplot, and describes how the variables are related | M.Advanced Bivariate Data Analysis | Covered | 12 | 1 | 10 | 0 | Covered by 1 topic (12 questions, 1 materials, 10 cards, 0 videos). |
SMR III.F · Understands how to create and interpret linear regression models (e.g., rate of change, intercepts, correlation coefficient)28 questions · 4 materials · 18 cards · 1 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Uses technology to fit a function to data (i.e., linear regression) and determines a linear correlation coefficient | M.Calculating Linear Regression | Partially covered | 6 | 1 | 2 | 0 | Partial coverage by 1 topic (6 questions, 1 materials, 2 cards, 0 videos); limited supporting content. |
| 2. Uses functions fitted to data to solve problems in the context of the data | M.Linear Regression with Non-Linear Data | Partially covered | 3 | 1 | 4 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 4 cards, 0 videos); limited supporting content. |
| 3. Assesses the fit of a function by plotting and analyzing residuals | M.Linear Regression with Non-Linear Data | Partially covered | 3 | 1 | 4 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 4 cards, 0 videos); limited supporting content. |
| 4. Interprets the slope and the intercept of a regression line in the context of the data | M.Calculating Linear Regression | Partially covered | 6 | 1 | 2 | 0 | Partial coverage by 1 topic (6 questions, 1 materials, 2 cards, 0 videos); limited supporting content. |
| 5. Interprets a linear correlation coefficient | M.Advanced Bivariate Data Analysis | Covered | 12 | 1 | 10 | 0 | Covered by 1 topic (12 questions, 1 materials, 10 cards, 0 videos). |
| 6. Distinguishes between correlation and causation | M.Correlation vs Causation | Partially covered | 7 | 1 | 2 | 1 | Partial coverage by 1 topic (7 questions, 1 materials, 2 cards, 1 videos); limited supporting content. |
SMR III.G · Understands how to compute probabilities of simple and compound events41 questions · 4 materials · 14 cards · 2 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Calculates probabilities of simple and compound events | M.Diagrams; M.Simple and Compound Events; M.Geometric Probability; M.Observations, Conclusions, and Relationships | Covered | 41 | 4 | 14 | 2 | Covered by 4 topics (41 questions, 4 materials, 14 cards, 2 videos). |
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.
We begin with the standards, domains, competencies, objectives, or content categories published by the testing authority.
We map every major area the exam is designed to cover so the guide reflects the real structure of the test.
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240 is a strong option because the guide is built around the official exam framework and shows detailed alignment by SMR and competency.
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