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 FTCE Elementary Education K-6 (060) Subtest 4: 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 FTCE Elementary Education K-6 (060) Subtest 4: Mathematics (060) 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 FTCE 060 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
30Competencies reviewed
97%Test-aligned
28Covered
2Partially 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.
Knowledge of integers, decimals, and fractions in base-10 (Domain 1)Covered
480 questions · 31 materials · 63 cards · 14 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 5. Identify and apply strategies for building fluency with addition, subtraction, and multiplication of multidigit whole numbers (e.g., visual models, partial sums and products, arrays and area models, compensation, inverse relationship between addition and subtraction and between multiplication and division). | M.Use Variety in Problem Structure; M.Problem Structure - Addition and Subtraction; M.Problem Structure - Multiplication and Division; M.Number Sense for Young Children; M.Models for Addition and Subtraction; M.Models for Multiplication and Division; M.Connecting Situations with Operations | Covered | 61 | 7 | 13 | 2 | Covered by 7 topics (61 questions, 7 materials, 13 cards, 2 videos). |
| 6. Select appropriate representations (e.g., number line, area, set model) for problems or solutions involving fractions. | M.Models for Fractions and Decimals | Covered | 10 | 1 | 6 | 0 | Covered by 1 topic (10 questions, 1 materials, 6 cards, 0 videos). |
| 3. Compare integers, decimals, and fractions (e.g., integers and positive fractions with positive exponents, rounding) and identify their positions on a number line. | M.Structure of Number Systems; M.Whole Number Operations on a Number Line; M.Compare Places on a Number Line; M.Order Whole Numbers by Magnitude; M.Order Real Numbers by Magnitude; M.Comparing Fractions | Covered | 105 | 6 | 12 | 4 | Covered by 6 topics (105 questions, 6 materials, 12 cards, 4 videos). |
| 1. Apply concepts of prime and composite numbers, multiples, and factors in performing arithmetic operations with integers and fractions. | M.Prime and Composite Numbers; M.Factors; M.Prime Factorization | Covered | 66 | 3 | 10 | 3 | Covered by 3 topics (66 questions, 3 materials, 10 cards, 3 videos). |
| 2. Identify and apply arithmetic strategies based on place value (e.g., composing, decomposing, regrouping, compensating) to perform multidigit operations. | M.Place Value; M.Place Value - Names; M.Composition and Decomposition of Multi-Digit Numbers | Covered | 50 | 3 | 3 | 1 | Covered by 3 topics (50 questions, 3 materials, 3 cards, 1 videos). |
| 4. Apply the four arithmetic operations to solve problems involving integers, decimals, fractions, and percentages, represented by visual models, equations, and algorithms. | M.Fraction, Decimal, Percentage Conversions; M.Basic Operations; M.Add and Subtract Negatives; M.Multiply and Divide Negatives; M.Operations and Rational and Irrational Numbers; M.Operational Properties; M.Order of Operations; M.Order of Operations - Grouping; M.Fraction Operations - Add and Subtract; M.Fraction Operations - Mixed Numbers; M.Fraction Operations - Multiply and Divide | Covered | 188 | 11 | 27 | 4 | Covered by 11 topics (188 questions, 11 materials, 27 cards, 4 videos). |
Knowledge of student reasoning and instructional practices (Domain 5)Partially covered
218 questions · 17 materials · 46 cards · 6 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Identify and apply appropriate mathematical concepts, procedures, skills, and professional vocabulary to evaluate student work. | M.Teaching Mathematical Vocabulary | Covered | 11 | 1 | 1 | 0 | Covered by 1 topic (11 questions, 1 materials, 1 cards, 0 videos). |
| 2. Analyze and interpret individual student mathematics assessment data (e.g., diagnostic, formative, progress monitoring, summative) to guide instructional decisions and differentiate instruction. | M.Types of Assessment - Math; M.Using Assessment to Adjust Instruction; M.Evaluate Student Solutions; M.Authentic Assessment | Covered | 81 | 4 | 14 | 3 | Covered by 4 topics (81 questions, 4 materials, 14 cards, 3 videos). |
| 3. Select and analyze instructional methods and tools, including technology (e.g., interactive whiteboards, computers), for small and large groups of students according to the cognitive complexity of a task and students’ needs. | M.Stimulating Higher Order Thinking; M.Planning for Group Experiences; M.Technology Given Lesson Goal | Covered | 26 | 2 | 5 | 1 | Covered by 3 topics (26 questions, 2 materials, 5 cards, 1 videos). |
| 4. Analyze learning progressions to demonstrate how students’ mathematical knowledge and skills develop over time among concrete, representational, and abstract modes of understanding. | M.Learning Progressions in Math; M.Learning Progressions in Geometry | Covered | 26 | 2 | 8 | 1 | Covered by 2 topics (26 questions, 2 materials, 8 cards, 1 videos). |
| 5. Distinguish among the stages of students’ mathematical fluency (i.e., exploration, procedural reliability, procedural fluency) and recognize the role played by automaticity in each of those stages. | M.Assessment Terminology | Partially covered | 5 | 1 | 0 | 0 | Partial coverage by 1 topic (5 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| 6. Identify and apply the use of mathematical thinking (e.g., use of patterns, structures, real-world contexts, and multiple representations; assessing the reasonableness of solutions). | M.Reasonableness of Results; M.Teaching Mathematical Reasoning; M.Inventive Strategies vs Standard Algorithms; M.Real-World Applications | Covered | 38 | 4 | 1 | 0 | Covered by 4 topics (38 questions, 4 materials, 1 cards, 0 videos). |
| 7. Identify and apply instructional methods to reinforce connections between mathematical topics within a grade level, across subject areas within a grade level, and the progression of mathematical topics from one grade level to the next. | M.Major Math Instructional Theories; M.Learning Progressions in Math | Covered | 24 | 2 | 8 | 2 | Covered by 2 topics (24 questions, 2 materials, 8 cards, 2 videos). |
| 8. Identify and apply appropriate instructional strategies for problem solving (e.g., drawing a picture, making a table, acting it out, writing an expression or equation). | M.Manipulatives for Young Children; M.Variety of Representations | Covered | 26 | 2 | 13 | 0 | Covered by 2 topics (26 questions, 2 materials, 13 cards, 0 videos). |
Knowledge of algebraic reasoning (Domain 2)Partially covered
457 questions · 26 materials · 44 cards · 18 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Interpret and extend multiple representations of numerical patterns and linear relationships represented by tables, graphs, equations, expressions, and verbal descriptions. | M.Symbolic to Verbal; M.Verbal to Symbolic Expression - Basic; M.Simple Shape Patterns; M.Types of Sequences; M.Patterns - Developing an Expression; M.Patterns - Developing a Linear Formula; M.Creating Formulas for Patterns - Arithmetic and Geometric | Covered | 145 | 7 | 14 | 5 | Covered by 7 topics (145 questions, 7 materials, 14 cards, 5 videos). |
| 2. Select an algebraic expression, equation, or inequality that represents a real-world situation. | M.Forms of Equations; M.Symbolic to Verbal | Covered | 17 | 2 | 10 | 2 | Covered by 2 topics (17 questions, 2 materials, 10 cards, 2 videos). |
| 3. Apply operations (e.g., associative, commutative, distributive properties) and the properties of equality to solve single-variable equations and inequalities, and determine whether two algebraic expressions are equivalent. | M.Properties of Equality; M.Equivalence of Expressions - To Simplify; M.Equivalence of Expressions - To Expand; M.Rearranging Formulas; M.Solve for x - Linear; M.Solving Linear Inequalities | Covered | 86 | 6 | 14 | 3 | Covered by 6 topics (86 questions, 6 materials, 14 cards, 3 videos). |
| 4. Apply the concept of substitution to evaluate algebraic expressions with integer coefficients (e.g., expressions with exponents, expressions with nested parentheses). | 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. Analyze and apply methods (e.g., models, estimation, reasonableness of solutions) to solve mathematical and real-world multistep problems (e.g., fractions, decimals, interpreting remainders within context) involving any of the four arithmetic operations. | M.Representations of Fractions in Word Problems; M.Rounding; M.Mental Math and Estimation; M.Linear Equation Word Problems | Covered | 56 | 4 | 10 | 3 | Covered by 4 topics (56 questions, 4 materials, 10 cards, 3 videos). |
| 6. Solve mathematical and real-world problems involving comparisons, mixtures, measurement conversions, percentages, rates and unit rates, using ratios to represent relationships between numerical quantities. | M.Ratios; M.Unit Rates; M.Ratios, Proportions, Percents; M.Proportional Reasoning - Word Problems; M.Converting Units - Proportional Reasoning; M.Converting Units - Dimensional Analysis with Area; M.Dimensional Changes Affecting Area and Volume | Covered | 157 | 7 | 4 | 5 | Covered by 7 topics (157 questions, 7 materials, 4 cards, 5 videos). |
Knowledge of measurement, data analysis, and statistics (Domain 3)Covered
261 questions · 14 materials · 43 cards · 10 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 1. Calculate and evaluate the appropriateness of statistical measures of central tendency and variability based on real-world context and the shape of the data distribution. | M.Data Analysis and Interpretation; M.Measures of Center and Range; M.Choosing Measures of Center | Covered | 92 | 3 | 6 | 3 | Covered by 3 topics (92 questions, 3 materials, 6 cards, 3 videos). |
| 2. Analyze and interpret rational number data presented in various ways (i.e., stem-and-leaf plots, box plots, line plots, histograms, tables, bar graphs, circle graphs). | M.Graphs and Plots; M.Boxplots; M.Choosing a Graph or Plot; M.Describing Data Patterns and Outliers | Covered | 63 | 4 | 28 | 2 | Covered by 4 topics (63 questions, 4 materials, 28 cards, 2 videos). |
| 3. Convert standard measurement units within the same measurement system (e.g., metric, U.S. customary) to solve single- and multi-step, mathematical, and real-world problems. | M.Metric System; M.Metric System Estimations | Covered | 36 | 2 | 4 | 1 | Covered by 2 topics (36 questions, 2 materials, 4 cards, 1 videos). |
| 4. Select appropriate units to solve problems involving measurement and estimation of time, money, distance, volume, mass/weight, and temperature. | M.Informal vs Formal Measurement; M.Choosing Appropriate Units; M.Measurement Tools; M.United States Money; M.Calculating Elapsed Time | Covered | 70 | 5 | 12 | 4 | Covered by 5 topics (70 questions, 5 materials, 12 cards, 4 videos). |
Knowledge of geometric concepts (Domain 4)Covered
307 questions · 18 materials · 59 cards · 13 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| 4. Classify attributes (e.g., number of sides, lengths of sides, right angles, lines of symmetry) of 2D figures in a hierarchy based on mathematical properties (e.g., a rectangle is also a trapezoid). | M.Attributes of Two-Dimensional Shapes - Florida | Covered | 14 | 1 | 19 | 0 | Covered by 1 topic (14 questions, 1 materials, 19 cards, 0 videos). |
| 5. Classify attributes (e.g., number of faces, lengths of edges, straight or curved edges) of 3D figures (e.g., prisms, pyramids, cylinders, spheres), using mathematical terms (e.g., faces, edges, vertices). | M.Attributes of Three Dimensional Figures; M.Pyramids and Prisms; M.Types of Prisms | Covered | 25 | 3 | 11 | 3 | Covered by 3 topics (25 questions, 3 materials, 11 cards, 3 videos). |
| 1. Apply geometric properties and relationships to solve real-world problems involving perimeter and area of triangles and quadrilaterals (e.g., figures that can be decomposed into triangles and quadrilaterals; figures with decimal, fractional, or unknown side lengths). | M.Converting Units - Dimensional Analysis; M.Converting Units - Dimensional Analysis with Volume; M.Area and Perimeter of Rectangles and Triangles; M.Area and Perimeter of Polygons; M.Area and Perimeter of Polygons - Irregular Shapes; M.Solving with Shapes - Rectangles and Squares | Covered | 114 | 6 | 3 | 3 | Covered by 6 topics (114 questions, 6 materials, 3 cards, 3 videos). |
| 2. Apply geometric properties and relationships to solve real-world problems involving volume and surface area of right rectangular prisms and right rectangular pyramids using nets and volume of right rectangular prisms (e.g., figures with decimal, fractional, or unknown side lengths, decomposing figures into right rectangular prisms and pyramids). | M.Nets; M.Surface Area in 3D; M.Volume in 3D | Covered | 68 | 3 | 5 | 2 | Covered by 3 topics (68 questions, 3 materials, 5 cards, 2 videos). |
| 3. Select ordered pairs of rational numbers, and determine the perimeter and area of rectangles plotted on the coordinate plane by calculating distances between two points with a common coordinate. | M.The Coordinate Plane; M.Points, Lines, Planes, Angles; M.Solving with Points, Lines, Planes, Angles; M.Slope, Midpoint, and Distance | Covered | 74 | 4 | 22 | 4 | Covered by 4 topics (74 questions, 4 materials, 22 cards, 4 videos). |
| 6. Identify and evaluate angles (e.g., the use of the additive property of angle measure to determine unknown angle measures) and relationships between lines, using mathematical terminology (e.g., acute, obtuse, straight, reflex, parallel, perpendicular). | M.Angles in Triangles | Covered | 12 | 1 | 0 | 1 | Covered by 1 topic (12 questions, 1 materials, 0 cards, 1 videos). |
How 240 Creates The FTCE Elementary Education K-6 (060) Subtest 4: Mathematics (060) 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 FTCE Elementary Education K-6 (060) Subtest 4: 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 FTCE 060 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 FTCE Elementary Education K-6 (060) Subtest 4: Mathematics Study Guide
The questions teacher candidates ask us most often about the FTCE Elementary Education K-6 (060) Subtest 4: Mathematics study guide.
Is 240 a good study guide for FTCE Elementary Education K-6 (060) Subtest 4: 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 FTCE 060 exam?
This guide is 97% aligned based on a competency-by-competency review of the official framework and the study resources included in the guide.
Does 240 cover every competency?
This page shows coverage transparently across covered, partially covered, and identified gaps so candidates can see exactly how the guide maps to the exam.
What does “partially covered” mean?
Partially covered means the guide addresses the core parts of a competency, but some depth or subtopics may still be limited.