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 MTEL Elementary 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 MTEL Elementary Mathematics (68) 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 MTEL 68 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
85Competencies reviewed
93%Test-aligned
73Covered
12Partially 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 Systems and Operations (Domain I)Covered
SMR I.0001 · Apply number theory, structures of numeration systems, and arithmetic properties to the real number system.307 questions · 16 materials · 42 cards · 9 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Interpret place values (in base ten and other bases). | M.Place Value; M.Base Systems | Covered | 39 | 2 | 2 | 1 | Covered by 2 topics (39 questions, 2 materials, 2 cards, 1 videos). |
| b. Apply order relationships to compare real numbers. | M.Order Real Numbers by Magnitude | Covered | 28 | 1 | 2 | 1 | Covered by 1 topic (28 questions, 1 materials, 2 cards, 1 videos). |
| c. Analyze relationships between operations (e.g., multiplication as repeated additions). | M.Basic Operations | Covered | 20 | 1 | 9 | 0 | Covered by 1 topic (20 questions, 1 materials, 9 cards, 0 videos). |
| d. Distinguish between prime and composite numbers and generate factors and multiples using prime factorization. | M.Factors; M.Prime Factorization; M.Prime and Composite Numbers | Covered | 66 | 3 | 10 | 3 | Covered by 3 topics (66 questions, 3 materials, 10 cards, 3 videos). |
| e. Classify real numbers as rational or irrational and locate their positions on a number line. | M.Structure of Number Systems | Covered | 11 | 1 | 5 | 1 | Covered by 1 topic (11 questions, 1 materials, 5 cards, 1 videos). |
| f. Identify and apply properties (e.g., distributive, associative) of the real number system to operations and their inverses. | M.Operational Properties | Covered | 44 | 1 | 3 | 1 | Covered by 1 topic (44 questions, 1 materials, 3 cards, 1 videos). |
| g. Identify key concepts related to counting and cardinality (e.g., one-to-one correspondence, conservation of number, subitizing). | M.Counting Techniques; M.Pre-Number Concepts | Covered | 28 | 2 | 7 | 0 | Covered by 2 topics (28 questions, 2 materials, 7 cards, 0 videos). |
| h. Apply the laws of exponents to expressions, including expressions with scientific notation. | M.Properties of Exponents; M.Exponential and Scientific Notation; M.Scientific Notation Operations | Covered | 50 | 3 | 2 | 2 | Covered by 3 topics (50 questions, 3 materials, 2 cards, 2 videos). |
| i. Evaluate powers and roots of real numbers. | M.Square Roots and Radicals | Covered | 9 | 1 | 4 | 0 | Covered by 1 topic (9 questions, 1 materials, 4 cards, 0 videos). |
| j. Use properties of numbers and operations to interpret and explain relationships (e.g., the product of two even numbers is even). | M.Justify and Prove Number Relationships | Covered | 12 | 1 | 2 | 0 | Covered by 1 topic (12 questions, 1 materials, 2 cards, 0 videos). |
SMR I.0002 · Demonstrate knowledge of the principles and operations related to whole numbers, decimals, and percents.187 questions · 12 materials · 34 cards · 7 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Analyze strategies based on place value, properties of operations, and relationships between operations. | M.Operational Properties | Covered | 44 | 1 | 3 | 1 | Covered by 1 topic (44 questions, 1 materials, 3 cards, 1 videos). |
| b. Use decimals, fractions, and percents to represent rational numbers and convert between these forms. | M.Fraction, Decimal, Percentage Conversions; M.Models for Fractions and Decimals | Covered | 25 | 2 | 13 | 1 | Covered by 2 topics (25 questions, 2 materials, 13 cards, 1 videos). |
| c. Interpret multiple representations of addition, subtraction, multiplication, and division of whole numbers and decimals and use these operations to evaluate expressions. | 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). |
| d. Order whole numbers and decimals and determine their placement on a number line. | M.Compare Places on a Number Line | Covered | 16 | 1 | 1 | 0 | Covered by 1 topic (16 questions, 1 materials, 1 cards, 0 videos). |
| e. Classify decimal representations of real numbers as terminating or repeating and analyze patterns in repeating decimals. | M.Repeating Decimals | Covered | 11 | 1 | 5 | 0 | Covered by 1 topic (11 questions, 1 materials, 5 cards, 0 videos). |
| f. Apply rounding and estimating to whole numbers, decimals, and percents and judge the accuracy of those methods. | M.Rounding; M.Mental Math and Estimation | Covered | 30 | 2 | 8 | 1 | Covered by 2 topics (30 questions, 2 materials, 8 cards, 1 videos). |
| g. Model real-world situations and solve mathematical problems involving whole numbers, decimals, and percents, including situations that involve a percent change (e.g., taxes, tips, and discounts). | M.Percent Change; M.Percent Change - Multiple; M.Representations of Fractions in Word Problems | Covered | 42 | 3 | 3 | 2 | Covered by 3 topics (42 questions, 3 materials, 3 cards, 2 videos). |
SMR I.0003 · Understand principles and operations related to integers and fractions.219 questions · 11 materials · 34 cards · 7 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Interpret representations of fractions (including mixed numbers), test for equivalency between two or more fractions, and write equivalent fractions. | M.Comparing Fractions | Covered | 41 | 1 | 4 | 1 | Covered by 1 topic (41 questions, 1 materials, 4 cards, 1 videos). |
| b. Analyze and perform multiple strategies for addition, subtraction, multiplication, and division of integers and fractions. | M.Basic Operations | Covered | 20 | 1 | 9 | 0 | Covered by 1 topic (20 questions, 1 materials, 9 cards, 0 videos). |
| c. Evaluate expressions with integers and fractions, including those requiring attention to order of operations and absolute values. | M.Order of Operations; M.Order of Operations - Grouping | Covered | 42 | 2 | 1 | 2 | Covered by 2 topics (42 questions, 2 materials, 1 cards, 2 videos). |
| d. Interpret multiple representations of numerical operations, identity elements, inverse elements, and absolute values (e.g., area models, fraction bars, number lines, zero pairs, subtraction as addition of the additive inverse). | M.Operational Properties; M.Models for Addition and Subtraction; M.Models for Multiplication and Division; M.Identities | Covered | 74 | 4 | 12 | 3 | Covered by 4 topics (74 questions, 4 materials, 12 cards, 3 videos). |
| e. Apply rounding and estimating methods to expressions with integers and fractions and judge the accuracy of those methods. | M.Rounding; M.Mental Math and Estimation | Covered | 30 | 2 | 8 | 1 | Covered by 2 topics (30 questions, 2 materials, 8 cards, 1 videos). |
| f. Model real-world situations and solve mathematical problems that use integers and fractions. | M.Integers in Word Problems | Covered | 12 | 1 | 2 | 0 | Covered by 1 topic (12 questions, 1 materials, 2 cards, 0 videos). |
Algebraic Thinking and Relations (Domain II)Partially covered
SMR II.0004 · Analyze patterns and the properties of functions and relations.141 questions · 8 materials · 23 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Identify functions from graphs and sets of ordered pairs. | M.Relation and Function Representations | Covered | 39 | 1 | 4 | 0 | Covered by 1 topic (39 questions, 1 materials, 4 cards, 0 videos). |
| b. Develop conjectures about patterns presented in numeric, geometric, or tabular form. | M.Types of Sequences | Covered | 14 | 1 | 6 | 0 | Covered by 1 topic (14 questions, 1 materials, 6 cards, 0 videos). |
| c. Represent patterns and relations in words and with symbolic notation (e.g., f(x)f of x notation, set diagrams). | M.Patterns - Developing an Expression; M.Patterns - Developing a Linear Formula; M.Creating Formulas for Patterns - Arithmetic and Geometric | Covered | 65 | 3 | 5 | 3 | Covered by 3 topics (65 questions, 3 materials, 5 cards, 3 videos). |
| d. Identify patterns of change created by functions. | 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). |
| e. Interpret graphs that model real-world situations, including those representing linear and nonlinear relationships. | M.Interpreting Graphs | Covered | 6 | 1 | 7 | 0 | Covered by 1 topic (6 questions, 1 materials, 7 cards, 0 videos). |
| f. Interpret multiple representations of relations (e.g., tabular, graphic, verbal, symbolic). | M.Sequences - Follow Steps | Covered | 8 | 1 | 0 | 0 | Covered by 1 topic (8 questions, 1 materials, 0 cards, 0 videos). |
| g. Model relationships between variables that are inversely related. | M.Directly and Inversely Proportional Relationships - Basic | Covered | 9 | 1 | 3 | 0 | Covered by 1 topic (9 questions, 1 materials, 3 cards, 0 videos). |
SMR II.0005 · Understand how to manipulate and simplify algebraic expressions and translate problems into algebraic expressions, equations, and inequalities.156 questions · 14 materials · 23 cards · 6 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Identify and represent quantities with variables (e.g., unknown quantities, changing quantities, sets of quantities). | M.Variables | Covered | 10 | 1 | 4 | 0 | Covered by 1 topic (10 questions, 1 materials, 4 cards, 0 videos). |
| b. Evaluate expressions for a given value of a variable. | 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. |
| c. Represent direct and inverse relationships with algebraic equations. | M.Directly and Inversely Proportional Relationships - Basic | Covered | 9 | 1 | 3 | 0 | Covered by 1 topic (9 questions, 1 materials, 3 cards, 0 videos). |
| d. Manipulate and simplify algebraic expressions (e.g., combining like terms, factoring, applying the associative property). | M.Equivalence of Expressions - To Simplify; M.Equivalence of Expressions - To Expand; M.Basic Polynomials | Covered | 41 | 3 | 9 | 2 | Covered by 3 topics (41 questions, 3 materials, 9 cards, 2 videos). |
| e. Solve equations and inequalities either to determine an unknown value or to express one variable in terms of another. | M.Rearranging Formulas | Covered | 9 | 1 | 0 | 0 | Covered by 1 topic (9 questions, 1 materials, 0 cards, 0 videos). |
| f. Solve systems of linear equations and inequalities (e.g., by graphing, substitution). | M.Solving Systems of Linear Equations; M.Solving Systems of Linear Equations - Scalar Note; M.Solving Systems of Linear Inequalities | Covered | 41 | 3 | 3 | 1 | Covered by 3 topics (41 questions, 3 materials, 3 cards, 1 videos). |
| g. Model real-world situations and solve mathematical problems with algebraic expressions, equations, and inequalities. | M.Solving Systems of Linear Equations - Word Problems; M.Linear Inequality Word Problems; M.Linear Equation Word Problems | Covered | 33 | 3 | 1 | 1 | Covered by 3 topics (33 questions, 3 materials, 1 cards, 1 videos). |
| h. Interpret graphs of inequalities. | M.Solve Linear Inequalities - Graphically | Partially covered | 7 | 1 | 2 | 1 | Partial coverage by 1 topic (7 questions, 1 materials, 2 cards, 1 videos); limited supporting content. |
SMR II.0006 · Understand properties and applications of ratios and proportions.103 questions · 5 materials · 7 cards · 3 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Identify and interpret relative and absolute relationships. | M.Proportions | Covered | 15 | 1 | 3 | 0 | Covered by 1 topic (15 questions, 1 materials, 3 cards, 0 videos). |
| b. Test ratios and variables for proportionality. | M.Proportions | Covered | 15 | 1 | 3 | 0 | Covered by 1 topic (15 questions, 1 materials, 3 cards, 0 videos). |
| c. Analyze representations of proportional relationships (e.g., equations, tape diagrams, double number lines, tables) and solve for a missing value. | M.Proportions | Covered | 15 | 1 | 3 | 0 | Covered by 1 topic (15 questions, 1 materials, 3 cards, 0 videos). |
| d. Apply proportional reasoning to calculate a percent and use percents to find unknown values. | M.Ratios and Percents | Covered | 25 | 1 | 2 | 0 | Covered by 1 topic (25 questions, 1 materials, 2 cards, 0 videos). |
| e. Model real-world situations and solve mathematical problems involving ratios and proportions (e.g., related to mixtures, rates, scale factors, scale drawings). | M.Proportional Reasoning - Word Problems; M.Proportional Reasoning - Scale Drawings; M.Proportional Reasoning - 2D Shapes | Covered | 63 | 3 | 4 | 3 | Covered by 3 topics (63 questions, 3 materials, 4 cards, 3 videos). |
SMR II.0007 · Analyze properties and applications of linear relations and functions.46 questions · 3 materials · 4 cards · 0 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Calculate and interpret the meaning of a rate of change. | M.Interpreting Slopes and Intercepts of Linear Equations | Covered | 13 | 1 | 0 | 0 | Covered by 1 topic (13 questions, 1 materials, 0 cards, 0 videos). |
| b. Analyze situations characterized by a constant rate of change. | M.Interpreting Slopes and Intercepts of Linear Equations | Covered | 13 | 1 | 0 | 0 | Covered by 1 topic (13 questions, 1 materials, 0 cards, 0 videos). |
| c. Interpret multiple representations of a linear relationship (e.g., information presented in equation, graphic, text-based, and/or tabular forms). | M.Understanding Linear Functions and Their Properties | Covered | 15 | 1 | 4 | 0 | Covered by 1 topic (15 questions, 1 materials, 4 cards, 0 videos). |
| d. Identify, calculate, and interpret features of linear relationships (e.g., slope, solutions to an equation, intercept values). | M.Understanding Linear Functions and Their Properties | Covered | 15 | 1 | 4 | 0 | Covered by 1 topic (15 questions, 1 materials, 4 cards, 0 videos). |
| e. Model real-world situations and solve mathematical problems with linear relations and functions. | M.Linear Function Word Problems | Covered | 18 | 1 | 0 | 0 | Covered by 1 topic (18 questions, 1 materials, 0 cards, 0 videos). |
Geometry (Domain III)Covered
SMR III.0008 · Analyze the characteristics and properties of two- and three-dimensional figures.209 questions · 12 materials · 44 cards · 5 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Justify the classification of two-dimensional shapes based on their properties. | M.Attributes of Polygons - Advanced | Covered | 11 | 1 | 23 | 0 | Covered by 1 topic (11 questions, 1 materials, 23 cards, 0 videos). |
| b. Identify two- and three-dimensional figures given their characteristics (e.g., sides, angles, diagonals, faces, vertices, edges). | M.Attributes of Three Dimensional Figures | Covered | 14 | 1 | 6 | 1 | Covered by 1 topic (14 questions, 1 materials, 6 cards, 1 videos). |
| c. Apply the Pythagorean theorem to find lengths and distances. | M.Pythagorean Theorem | Covered | 15 | 1 | 3 | 1 | Covered by 1 topic (15 questions, 1 materials, 3 cards, 1 videos). |
| d. Determine the measures of radius, diameter, circumference, and area of a circle. | M.Measurements in Circles | Covered | 18 | 1 | 3 | 1 | Covered by 1 topic (18 questions, 1 materials, 3 cards, 1 videos). |
| e. Determine areas and volumes of composite figures by composition and decomposition. | M.Area and Perimeter of Polygons; M.Area and Perimeter of Polygons - Irregular Shapes; M.Combine and Dissect 2D Figures | Covered | 71 | 3 | 2 | 0 | Covered by 3 topics (71 questions, 3 materials, 2 cards, 0 videos). |
| f. Calculate surface area and volume of common three-dimensional figures. | M.Surface Area in 3D; M.Volume in 3D; M.Combine and Dissect 3D Figures | Covered | 57 | 3 | 7 | 2 | Covered by 3 topics (57 questions, 3 materials, 7 cards, 2 videos). |
| g. Interpret cross sections and nets. | M.Nets; M.Cross Sections | Covered | 23 | 2 | 2 | 0 | Covered by 2 topics (23 questions, 2 materials, 2 cards, 0 videos). |
| h. Model real-world situations and solve mathematical problems involving two- and three-dimensional figures. | M.Area and Perimeter of Polygons | Covered | 48 | 1 | 2 | 0 | Covered by 1 topic (48 questions, 1 materials, 2 cards, 0 videos). |
SMR III.0009 · Understand the principles and properties of coordinate and transformational geometry.133 questions · 9 materials · 40 cards · 5 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Represent 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). |
| b. Classify and analyze figures using distance, slope, and parallel and perpendicular lines (e.g., parallelograms). | M.Slope, Midpoint, and Distance | Covered | 16 | 1 | 0 | 1 | Covered by 1 topic (16 questions, 1 materials, 0 cards, 1 videos). |
| c. Analyze the effects of dilations, translations, rotations, reflections, and glide-reflections on figures in the coordinate plane. | M.Rigid Transformations; M.Non-Rigid Transformations | Covered | 25 | 2 | 8 | 0 | Covered by 2 topics (25 questions, 2 materials, 8 cards, 0 videos). |
| d. Classify angles and analyze relationships between related angles within polygons and intersecting lines. | M.Points, Lines, Planes, Angles; M.Solving with Points, Lines, Planes, Angles | Covered | 40 | 2 | 18 | 2 | Covered by 2 topics (40 questions, 2 materials, 18 cards, 2 videos). |
| e. Apply methods to prove that triangles are congruent or similar. | M.Advanced Similar Shapes; M.Angles in Triangles | Covered | 23 | 2 | 10 | 1 | Covered by 2 topics (23 questions, 2 materials, 10 cards, 1 videos). |
| f. Model real-world situations and solve problems using coordinate and transformational geometry. | M.Coordinate Geometry | Covered | 11 | 1 | 1 | 0 | Covered by 1 topic (11 questions, 1 materials, 1 cards, 0 videos). |
Measurement, Data, and Probability (Domain IV)Partially covered
SMR IV.0010 · Understand principles, concepts, and procedures related to measurement.131 questions · 7 materials · 4 cards · 5 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Select appropriate units of measurement. | M.Choosing Appropriate Units | Covered | 16 | 1 | 2 | 1 | Covered by 1 topic (16 questions, 1 materials, 2 cards, 1 videos). |
| b. Perform computations with money. | M.United States Money | Partially covered | 7 | 1 | 0 | 0 | Partial coverage by 1 topic (7 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| c. Perform unit conversions within a measurement system, or, given a conversion factor, between 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). |
| d. Solve real-world and mathematical problems involving length, perimeter, area, volume, mass, capacity, density, elapsed time, temperature, angles, and rates of change. | M.Calculating Elapsed Time | Covered | 24 | 1 | 0 | 1 | Covered by 1 topic (24 questions, 1 materials, 0 cards, 1 videos). |
| e. Solve problems involving plane figures and indirect measurement. | M.Angles in Triangles | Covered | 12 | 1 | 0 | 1 | Covered by 1 topic (12 questions, 1 materials, 0 cards, 1 videos). |
| f. Analyze the effects of varying linear dimensions on measures of perimeter, area, and/or volume. | M.Dimensional Changes Affecting Area and Volume | Covered | 23 | 1 | 0 | 0 | Covered by 1 topic (23 questions, 1 materials, 0 cards, 0 videos). |
SMR IV.0011 · Understand the fundamental principles of probability.113 questions · 8 materials · 15 cards · 5 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Describe the sample space for a probabilistic event. | M.Sample Spaces to Determine Probabilities | Partially covered | 4 | 1 | 1 | 1 | Partial coverage by 1 topic (4 questions, 1 materials, 1 cards, 1 videos); limited supporting content. |
| b. Use counting techniques to enumerate arrangements and outcomes (e.g., multiplication principle). | M.Fundamental Counting Principle | Covered | 10 | 1 | 1 | 1 | Covered by 1 topic (10 questions, 1 materials, 1 cards, 1 videos). |
| c. Measure probability as a ratio of outcomes, including probabilities that are measured using a ratio of two areas. | M.Geometric Probability | Partially covered | 3 | 1 | 1 | 1 | Partial coverage by 1 topic (3 questions, 1 materials, 1 cards, 1 videos); limited supporting content. |
| d. Calculate and compare probabilities determined from a model to observed frequencies for simple and compound events. | M.Probability; M.Simple and Compound Events; M.Probability Models; M.Combinations and Permutations | Covered | 89 | 4 | 11 | 2 | Covered by 4 topics (89 questions, 4 materials, 11 cards, 2 videos). |
| e. Analyze simulations and probability models of real-world situations. | M.Probability Simulations | Partially covered | 7 | 1 | 3 | 0 | Partial coverage by 1 topic (7 questions, 1 materials, 3 cards, 0 videos); limited supporting content. |
SMR IV.0012 · Understand descriptive statistics and the methods used in collecting, organizing, reporting, and analyzing data.167 questions · 9 materials · 33 cards · 4 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Interpret tables, charts, and graphs (e.g., dot plots, box plots, scatter plots). | M.Graphs and Plots; M.Choosing a Graph or Plot | Covered | 47 | 2 | 9 | 2 | Covered by 2 topics (47 questions, 2 materials, 9 cards, 2 videos). |
| b. Calculate and analyze measures of central tendency (e.g., mean, median, mode) and dispersion (e.g., range). | M.Measures of Center and Range | Covered | 56 | 1 | 4 | 1 | Covered by 1 topic (56 questions, 1 materials, 4 cards, 1 videos). |
| c. Interpret frequency distributions and percentile scores. | M.Data Analysis - Frequency; M.Percentiles | Covered | 15 | 2 | 12 | 0 | Covered by 2 topics (15 questions, 2 materials, 12 cards, 0 videos). |
| d. Analyze sampling techniques used to collect data for real-world situations. | M.Sampling Methods | Covered | 12 | 1 | 5 | 0 | Covered by 1 topic (12 questions, 1 materials, 5 cards, 0 videos). |
| e. Describe the relationship between two variables informally using a line of best fit. | M.Line of Best Fit | Covered | 8 | 1 | 1 | 0 | Covered by 1 topic (8 questions, 1 materials, 1 cards, 0 videos). |
| f. Develop and justify appropriate inferences, interpolations, and extrapolations from a set of data. | M.Data Analysis and Interpretation; M.Interpolation of Data | Covered | 29 | 2 | 3 | 1 | Covered by 2 topics (29 questions, 2 materials, 3 cards, 1 videos). |
Integration of Knowledge and Understanding (Domain V)Partially covered
SMR V.0013 · Prepare an organized, developed analysis on a topic related to one or more of the following: number systems; operations; relations; algebraic thinking.0 questions · 1 materials · 0 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Identify related prerequisite skills and explain their relevance to the provided standard. | CRQ.MA.68.M. | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| b. Create appropriate representations to model and describe the standard. | CRQ.MA.68.M. | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| c. Critique whether a given situation aligns to the standard. | CRQ.MA.68.M. | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
SMR V.0014 · Prepare an organized, developed analysis on a topic related to one or more of the following: measurement; data; geometry.0 questions · 1 materials · 0 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Analyze a solution to a mathematical problem, identifying errors or misconceptions. | CRQ.MA.68.M. | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| b. Provide a correct solution to the problem. | CRQ.MA.68.M. | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| c. Use an alternative method or representation to solve the problem and justify the approach. | CRQ.MA.68.M. | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
How 240 Creates The MTEL Elementary Mathematics (68) 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 MTEL Elementary 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 MTEL 68 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 MTEL Elementary Mathematics Study Guide
The questions teacher candidates ask us most often about the MTEL Elementary Mathematics study guide.
Is 240 a good study guide for MTEL Elementary 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 MTEL 68 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.