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 MTLE Middle Level Mathematics (Grades 5–8): Subtest 2 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 MTLE Middle Level Mathematics (Grades 5–8): Subtest 2 (218) 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 MTLE 218 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
30Competencies reviewed
95%Test-aligned
28Covered
1Partially covered
1Gaps
- 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.
Shape and Space (Domain I)Partially covered
SMR I.0008 · Apply principles of measurement and geometry to solve problems.367 questions · 24 materials · 63 cards · 13 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. solving problems involving conversions within and between different systems of measurement, including dimensional analysis | M.Choosing Appropriate Units; M.Converting Units - Dimensional Analysis; M.Converting Units - Proportional Reasoning | Covered | 65 | 3 | 4 | 3 | Covered by 3 topics (65 questions, 3 materials, 4 cards, 3 videos). |
| b. solving mathematical and real-world problems involving measurable attributes of simple or composite figures and shapes (e.g., length, capacity, angle measure) | M.Combine and Dissect 2D Figures; M.Angles in Triangles; M.Area and Perimeter of Polygons; M.Measurement Principles; M.Measurement Tools; M.Surface Area in 3D; M.Volume in 3D; M.Area and Perimeter of Rectangles and Triangles; M.Area and Perimeter of Polygons - Irregular Shapes | Covered | 169 | 9 | 24 | 5 | Covered by 9 topics (169 questions, 9 materials, 24 cards, 5 videos). |
| c. solving mathematical and real-world problems involving indirect measurement (e.g., proportional reasoning, Pythagorean theorem, trigonometric ratios) | M.Geometric Constructions; M.Proportional Reasoning - Scale Drawings; M.Pythagorean Theorem; M.Advanced Similar Shapes; M.Proportional Reasoning - 2D Shapes; M.Advanced Measurement Principles; M.Measurements Inside Triangles; M.Laws of Sines and Cosines; M.Trigonometric Ratios; M.Informal vs Formal Measurement; M.Proportional Reasoning - 3D Figures | Covered | 110 | 11 | 36 | 5 | Covered by 11 topics (110 questions, 11 materials, 36 cards, 5 videos). |
| d. solving problems involving the effects of changing linear dimensions of a multidimensional object on its length, area, and 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 I.0009 · Analyze figures and shapes in two and three dimensions.217 questions · 20 materials · 73 cards · 7 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. demonstrating knowledge of the relationships between points, lines (e.g., parallel, perpendicular, skew), rays, angles (e.g., supplementary, vertical), and planes | 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). |
| b. applying the properties of triangles (e.g., congruence conditions, triangle inequality, classifications) and other polygons (e.g., properties of quadrilaterals, sums of interior angles) to solve mathematical and real-world problems | M.Apply Triangle Properties; M.Solving with Shapes - Quadrilaterals; M.Attributes of Polygons - Advanced | Covered | 44 | 3 | 32 | 0 | Covered by 3 topics (44 questions, 3 materials, 32 cards, 0 videos). |
| c. applying the properties of circles (e.g., tangents, arc length, chords, inscribed angles) to solve mathematical and real-world problems | M.Measurements in Circles | Covered | 18 | 1 | 3 | 1 | Covered by 1 topic (18 questions, 1 materials, 3 cards, 1 videos). |
| d. applying the properties of three-dimensional shapes (e.g., circular cones, spheres) to solve mathematical and real-world problems | M.Conic Sections; M.2D of 3D shape; M.Attributes of Three Dimensional Figures; M.Convert Between Surface Area and Volume; M.Nets; M.Pyramids and Prisms; M.Types of Prisms; M.Spatial Reasoning | Covered | 82 | 8 | 17 | 3 | Covered by 8 topics (82 questions, 8 materials, 17 cards, 3 videos). |
| e. evaluating formal and informal arguments and proofs | M.Proofs; M.Formal Conclusions from Premises; M.Formal Reasoning Rules; M.Conclusions from Premises; M.Evaluating Truth of Statements; M.Formal vs Informal Reasoning | Covered | 33 | 6 | 7 | 1 | Covered by 6 topics (33 questions, 6 materials, 7 cards, 1 videos). |
SMR I.0010 · Analyze shapes using coordinate and transformational geometry.86 questions · 7 materials · 14 cards · 2 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. classifying, representing, and analyzing two-dimensional figures and shapes in the coordinate plane | M.Tessellations; M.Direction and Structure; M.The Coordinate Plane | Covered | 37 | 3 | 5 | 1 | Covered by 3 topics (37 questions, 3 materials, 5 cards, 1 videos). |
| b. applying geometric properties and the concepts of distance, midpoint, parallelism, and slope in the coordinate plane to solve mathematical and real-world problems | M.Coordinate Geometry; M.Slope, Midpoint, and Distance | Covered | 27 | 2 | 1 | 1 | Covered by 2 topics (27 questions, 2 materials, 1 cards, 1 videos). |
| c. applying transformations (e.g., rotations, reflections, dilations) to shapes in the coordinate plane | M.Non-Rigid Transformations; M.Rigid Transformations | Covered | 22 | 2 | 8 | 0 | Covered by 2 topics (22 questions, 2 materials, 8 cards, 0 videos). |
| d. analyzing the use of the techniques of coordinate geometry in geometric proofs | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
Data, Randomness, and Uncertainty (Domain II)Covered
SMR II.0011 · Apply knowledge of data investigations.290 questions · 17 materials · 64 cards · 5 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. evaluating sampling techniques (e.g., systematic, cluster, stratified) and statistical methods and procedures (e.g., blocking, control, randomization, blinding) for collecting data | M.Sampling Methods | Covered | 12 | 1 | 5 | 0 | Covered by 1 topic (12 questions, 1 materials, 5 cards, 0 videos). |
| b. selecting, justifying, and interpreting effective formats for organizing and describing data distributions (e.g., bar graphs, histograms, stem-and-leaf plots, scatter plots) | M.Advanced Bivariate Data Analysis; M.Bivariate Data Analysis; M.Probability Distributions; M.Boxplots; M.Graphs and Plots; M.Normal Distribution; M.Using Distributions; M.Choosing a Graph or Plot | Covered | 127 | 8 | 44 | 3 | Covered by 8 topics (127 questions, 8 materials, 44 cards, 3 videos). |
| c. analyzing the distribution of univariate data in terms of shape (e.g., symmetry, skewness, modality), center (e.g., mean, median), and spread (e.g., range, interquartile range) | M.Advanced Measures of Center and Range; M.Describing Data Patterns and Outliers; M.Effect of Change in Data on Measures of Center and Range; M.Measures of Center and Range | Covered | 96 | 4 | 16 | 1 | Covered by 4 topics (96 questions, 4 materials, 16 cards, 1 videos). |
| d. analyzing the association of bivariate quantitative data in terms of direction (e.g., positive, negative), strength (e.g., correlation), and form (e.g., linear, outliers, subgroups) | M.Boxplots; M.Data Analysis and Interpretation; M.Graphs and Plots; M.Interpolation of Data; M.Diagrams; M.Statistics of One-Variable Data | Covered | 98 | 6 | 20 | 2 | Covered by 6 topics (98 questions, 6 materials, 20 cards, 2 videos). |
SMR II.0012 · Understand the principles of probability.161 questions · 13 materials · 29 cards · 4 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. analyzing the relationship between randomness and sampling methods in making statistical claims about populations | M.Calculating Linear Regression; M.Appropriate vs Inappropriate Representations of Data; M.Observations, Conclusions, and Relationships; M.Surveys | Covered | 36 | 4 | 13 | 0 | Covered by 4 topics (36 questions, 4 materials, 13 cards, 0 videos). |
| b. analyzing situations and determining probabilities using graphic representations (e.g., area models, two-way frequency tables, tree diagrams, Venn diagrams) | M.Probability; M.Combinations and Permutations; M.Sample Spaces to Determine Probabilities; M.Simple and Compound Events | Covered | 82 | 4 | 11 | 3 | Covered by 4 topics (82 questions, 4 materials, 11 cards, 3 videos). |
| c. determining the probabilities of simple and compound events (e.g., independent, conditional, mutually exclusive) using counting principles and the concept of sample space | M.Geometric Probability; M.Probability Models | Covered | 14 | 2 | 2 | 1 | Covered by 2 topics (14 questions, 2 materials, 2 cards, 1 videos). |
| d. estimating probabilities based on data collection, experiments, and simulations | M.Probability Simulations; M.Statistical Experiments; M.Statistical Questions | Covered | 29 | 3 | 5 | 0 | Covered by 3 topics (29 questions, 3 materials, 5 cards, 0 videos). |
Discrete Mathematics and Reading (Domain III)Partially covered
SMR III.0013 · Understand the processes and applications of discrete mathematics.62 questions · 11 materials · 26 cards · 1 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. applying the concept of patterns (e.g., iteration and recursion, inductive reasoning) to model situations and solve problems | M.Recursion and Iteration; M.Chi-Square Test; M.Level of Confidence | Covered | 24 | 3 | 12 | 0 | Covered by 3 topics (24 questions, 3 materials, 12 cards, 0 videos). |
| b. applying systematic counting techniques (e.g., combinations, permutations) to represent and solve problems | M.Fundamental Counting Principle | Covered | 10 | 1 | 1 | 1 | Covered by 1 topic (10 questions, 1 materials, 1 cards, 1 videos). |
| c. analyzing algorithms designed to accomplish a task or solve a problem | M.Solving Real-World Problems with Discrete Math | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| d. applying a variety of models (e.g., vertex-edge graphs, trees, arrays, matrices) to solve problems | M.Matrices - Determinant and Inverse; M.Matrices and Addition Subtraction; M.Matrices and Multiplication; M.Matrices and Scalar Multiplication; M.Matrices to Solve Systems of Equations; M.Expressing Probabilities | Covered | 25 | 6 | 13 | 0 | Covered by 6 topics (25 questions, 6 materials, 13 cards, 0 videos). |
SMR III.0014 · Understand the content and methods for developing students' content-area reading skills to support their reading and learning in middle level mathematics.237 questions · 15 materials · 95 cards · 7 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. demonstrating knowledge of key components and processes involved in reading (e.g., vocabulary knowledge, including orthographic and morphological knowledge; background knowledge; knowledge of academic discourse, including the syntactic and organizational structures used in print and digital academic texts; print processing abilities, including decoding skills; use of cognitive and metacognitive skills and strategies) | M.Teaching Mathematical Vocabulary; ELA.Teaching - Reading Comprehension (All Texts); ELA.Types of Organization | Covered | 120 | 3 | 27 | 2 | Covered by 3 topics (120 questions, 3 materials, 27 cards, 2 videos). |
| b. demonstrating ability to plan instruction and select strategies to support all students' content-area reading (e.g., differentiating instruction to meet the needs of students with varying reading proficiency levels and linguistic backgrounds, identifying and addressing gaps in students' background knowledge, scaffolding reading tasks for students who experience comprehension difficulties) | M.Backward Design; M.Learning Progressions in Geometry; M.Learning Progressions in Math; M.Planning for Group Experiences; M.Major Math Instructional Theories; ELA.Cross-Curricular Applications - Reading Comprehension (General) | Covered | 65 | 6 | 42 | 4 | Covered by 6 topics (65 questions, 6 materials, 42 cards, 4 videos). |
| c. demonstrating knowledge of explicit strategies for facilitating students' comprehension before, during, and after reading content-area texts and for promoting their use of comprehension strategies | M.Diversity and Engagement - ELL; M.Variety of Representations; ELA.Cross-Curricular Applications - Reading Comprehension (General) | Covered | 31 | 3 | 34 | 1 | Covered by 3 topics (31 questions, 3 materials, 34 cards, 1 videos). |
| d. demonstrating knowledge of explicit strategies for promoting students' academic language and vocabulary development, including their knowledge of domain-specific vocabulary words | M.Planning for Group Experiences; M.Major Math Instructional Theories; M.Teaching Mathematical Reasoning for Older Children; M.Diversity and Engagement - ELL; M.Teaching Mathematical Vocabulary; ELA.Cross-Curricular Applications - Academic Vocabulary (General); ELA.Cross-Curricular Applications - Academic Vocabulary (Math) | Covered | 59 | 6 | 24 | 3 | Covered by 7 topics (59 questions, 6 materials, 24 cards, 3 videos). |
| e. demonstrating ability to plan instruction and select strategies that support students' reading and understanding of middle level mathematics texts (e.g., asking students to translate between different mathematical representations, asking students to describe in words or sentences the relationship between symbols and the situation being modeled, matching mathematical representations to differences in learning styles) | M.Multimodal Teaching - Math; M.Variety of Representations for Older Children; ELA.Cross-Curricular Applications - Reading Comprehension (Math) | Covered | 16 | 3 | 28 | 0 | Covered by 3 topics (16 questions, 3 materials, 28 cards, 0 videos). |
How 240 Creates The MTLE Middle Level Mathematics (Grades 5–8): Subtest 2 (218) 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 MTLE Middle Level Mathematics (Grades 5–8): Subtest 2.
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 MTLE 218 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 MTLE Middle Level Mathematics (Grades 5–8): Subtest 2 Study Guide
The questions teacher candidates ask us most often about the MTLE Middle Level Mathematics (Grades 5–8): Subtest 2 study guide.
Is 240 a good study guide for MTLE Middle Level Mathematics (Grades 5–8): Subtest 2?
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 MTLE 218 exam?
This guide is 95% 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.