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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GACE test alignment
240's GACE Elementary Education (702) Testlet 002: Mathematics (P–5) 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 GACE Elementary Education (702) Testlet 002: Mathematics (P–5) (702) 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.
1Domains
27Competencies reviewed
91%Test-aligned
22Covered
5Partially 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 002.0001 · Demonstrate knowledge of numerical reasoning.284 questions · 19 materials · 50 cards · 6 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Demonstrate knowledge of developmental foundations and progressions related to counting and cardinality (e.g., counting, recognition of numerals, one-to-one correspondence, comparing qualitative values, addition and subtraction, subitizing). | M.Counting Techniques; M.Pre-Number Concepts; M.Cardinal vs Ordinal Numbers | Covered | 30 | 3 | 9 | 0 | Covered by 3 topics (30 questions, 3 materials, 9 cards, 0 videos). |
| b. Demonstrate knowledge of the base-ten place value system and the use of various models, representations, and tools (e.g., drawings, numerical expressions, manipulative materials) to reveal the base-ten structure, including decimals. | M.Place Value; M.Manipulatives for PK-3 | Covered | 45 | 2 | 4 | 1 | Covered by 2 topics (45 questions, 2 materials, 4 cards, 1 videos). |
| c. Demonstrate knowledge of rounding, comparing and ordering numbers, and equivalent representations of numbers. | M.Rounding; M.Compare Places on a Number Line | Covered | 22 | 2 | 2 | 1 | Covered by 2 topics (22 questions, 2 materials, 2 cards, 1 videos). |
| d. Demonstrate knowledge of efficient computation methods and various strategies and procedures in problem-solving with addition, subtraction, multiplication, and division of whole numbers, including the decomposition of numbers and the application of properties of operations (e.g., commutative property, distributive property). | M.Basic Operations; M.Composition and Decomposition of Multi-Digit Numbers; M.Operational Properties | Covered | 76 | 3 | 13 | 1 | Covered by 3 topics (76 questions, 3 materials, 13 cards, 1 videos). |
| e. Demonstrate knowledge of methods for solving problems involving both whole numbers and fractions. | M.Integers in Word Problems; M.Representations of Fractions in Word Problems | Covered | 23 | 2 | 4 | 1 | Covered by 2 topics (23 questions, 2 materials, 4 cards, 1 videos). |
| f. Demonstrate knowledge of procedures for adding, subtracting, multiplying, and dividing fractions and models for representing these operations. | M.Fraction Operations - Multiply and Divide; M.Fraction Operations - Add and Subtract; M.Models for Fractions and Decimals | Covered | 45 | 3 | 18 | 0 | Covered by 3 topics (45 questions, 3 materials, 18 cards, 0 videos). |
| g. Demonstrate knowledge of computation, including the use of mental math and estimation. | M.Mental Math and Estimation | Covered | 24 | 1 | 7 | 0 | Covered by 1 topic (24 questions, 1 materials, 7 cards, 0 videos). |
| h. Apply knowledge of a variety of tools, such as diagrams, models, charts, and manipulatives, used to represent mathematical concepts and real-world situations using numbers and operations. | 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). |
| i. Apply knowledge of approaches for promoting students' use of the Standards for Mathematical Practice in the context of numbers, operations, the base-ten system, and fractions (e.g., reason abstractly and quantitatively, model with mathematics, attend to precision). | M.Standards for Mathematical Practice - Numbers and Operations | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
SMR 002.0002 · Demonstrate knowledge of patterning and algebraic, geometric, and spatial reasoning.324 questions · 18 materials · 76 cards · 9 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Demonstrate knowledge of patterns in numbers, shapes, and data and ways to use variables, expressions, equations, and inequalities to communicate quantitative relationships. | M.Simple Shape Patterns; M.Types of Sequences | Covered | 27 | 2 | 6 | 0 | Covered by 2 topics (27 questions, 2 materials, 6 cards, 0 videos). |
| b. Apply knowledge of patterns to model real-world situations and make predictions. | M.Patterns - Developing an Expression; M.Patterns - Developing a Linear Formula | Covered | 36 | 2 | 3 | 2 | Covered by 2 topics (36 questions, 2 materials, 3 cards, 2 videos). |
| c. Apply knowledge of verbal descriptions and mathematical language and symbols to express quantitative relationships and solve problems involving patterns. | M.Verbal to Symbolic Expression - Basic | Covered | 43 | 1 | 0 | 1 | Covered by 1 topic (43 questions, 1 materials, 0 cards, 1 videos). |
| d. Apply knowledge of a variety of tools such as diagrams, models, charts, and manipulatives, used to represent mathematical concepts and real-world situations using patterns and ordered pairs. | M.The Coordinate Plane; M.Representations, Models, and Technology (ToT) | Covered | 26 | 2 | 9 | 1 | Covered by 2 topics (26 questions, 2 materials, 9 cards, 1 videos). |
| e. Apply knowledge of activities and resources to develop young children's ability to use the names of shapes; describe relative spatial positions of objects; and compare and describe shapes. | M.Learning Progressions in Geometry | Covered | 7 | 1 | 5 | 0 | Covered by 1 topic (7 questions, 1 materials, 5 cards, 0 videos). |
| f. Demonstrate knowledge of the types and properties of lines, angles, and two- and three-dimensional shapes, including symmetry, congruence, and similarity. | M.Points, Lines, Planes, Angles; M.Attributes of Two-Dimensional Shapes; M.Attributes of Three Dimensional Figures; M.Attributes of Polygons - Symmetry; M.Attributes of Polygons - Similar vs Congruent | Covered | 59 | 5 | 41 | 2 | Covered by 5 topics (59 questions, 5 materials, 41 cards, 2 videos). |
| g. Demonstrate knowledge of types and properties of and the relationships between lines (e.g., parallel, perpendicular), angles, and two- and three-dimensional shapes and of the use of geometric concepts to solve real-world problems. | M.Solving with Points, Lines, Planes, Angles | Covered | 27 | 1 | 6 | 1 | Covered by 1 topic (27 questions, 1 materials, 6 cards, 1 videos). |
| h. Demonstrate knowledge of how to solve problems involving perimeter, area, and volume in real-world and mathematical situations. | M.Area and Perimeter of Polygons; M.Surface Area in 3D; M.Volume in 3D | Covered | 99 | 3 | 7 | 2 | Covered by 3 topics (99 questions, 3 materials, 7 cards, 2 videos). |
| i. Apply knowledge of approaches for promoting students' use of the Standards for Mathematical Practice in the context of patterning and algebraic, geometric, and spatial reasoning (e.g., reason abstractly and quantitatively, model with mathematics, attend to precision). | M.Standards for Mathematical Practice - Patterns and Shapes | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
SMR 002.0003 · Demonstrate knowledge of measurement and data reasoning.191 questions · 12 materials · 40 cards · 6 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. Apply knowledge of activities and resources to develop young children's ability to describe, compare, and order objects using measurable attributes (e.g., longest, heaviest). | M.Metric System Estimations; M.Measurement Tools; M.Teaching Measurement | Covered | 45 | 3 | 8 | 1 | Covered by 3 topics (45 questions, 3 materials, 8 cards, 1 videos). |
| b. Demonstrate knowledge of the principles of measurement, the role of standard and nonstandard units, and how the size of a unit affects measurements. | M.Choosing Appropriate Units; M.Measurement Principles | Covered | 27 | 2 | 11 | 1 | Covered by 2 topics (27 questions, 2 materials, 11 cards, 1 videos). |
| c. Demonstrate knowledge of how to convert measurements within and between the metric system and the U.S. customary system. | M.Converting Units - Proportional Reasoning | Covered | 20 | 1 | 1 | 1 | Covered by 1 topic (20 questions, 1 materials, 1 cards, 1 videos). |
| d. Apply knowledge of various strategies and procedures in solving real-world problems using measurement and data analysis. | M.Data Analysis - Frequency | Covered | 8 | 1 | 10 | 0 | Covered by 1 topic (8 questions, 1 materials, 10 cards, 0 videos). |
| e. Apply knowledge of data interpretation and of methods for displaying data in a variety of formats. | M.Graphs and Plots; M.Data Analysis and Interpretation | Covered | 60 | 2 | 10 | 2 | Covered by 2 topics (60 questions, 2 materials, 10 cards, 2 videos). |
| f. Demonstrate knowledge of identifying coins and combinations of dollars and coins and of using money as a tool or manipulative to solve problems involving decimals. | 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. |
| g. Demonstrate knowledge of how to tell and write time, the difference between a.m. and p.m., measuring and estimating relative time, elapsed time, and intervals of time. | M.Calculating Elapsed Time | Covered | 24 | 1 | 0 | 1 | Covered by 1 topic (24 questions, 1 materials, 0 cards, 1 videos). |
| h. Apply knowledge for solving real-world and mathematical problems involving measurement, including money and time, and converting between like measurement units within the metric system and the U.S. customary system. | 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. |
| i. Apply knowledge of approaches for promoting students' use of the Standards for Mathematical Practice in the context of measurement and data reasoning (e.g., reason abstractly and quantitatively, model with mathematics, attend to precision). | M.Standards for Mathematical Practice - Measurement and Data | Partially covered | 0 | 1 | 0 | 0 | Partial coverage by 1 topic (0 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
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.
We create study materials to support the official blueprint, not broad filler content.
We review practice content against the framework and real exam patterns so preparation stays targeted.
When official frameworks change, we review guides and update alignment as needed.
Reviewed by subject-matter experts and maintained to reflect current standards.
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 GACE Elementary Education (702) Testlet 002: Mathematics (P–5).
The questions teacher candidates ask us most often about the GACE Elementary Education (702) Testlet 002: Mathematics (P–5) study guide.
240 is a strong option because the guide is built around the official exam framework and shows detailed alignment by SMR and competency.
This guide is 91% aligned based on a competency-by-competency review of the official framework and the study resources included in the guide.
This page shows coverage transparently across covered, partially covered, and identified gaps so candidates can see exactly how the guide maps to the exam.
Partially covered means the guide addresses the core parts of a competency, but some depth or subtopics may still be limited.
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