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 NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 - Grade 6): 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 NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 - Grade 6): Mathematics (222) 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 NYSTCE 222 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
95Competencies reviewed
93%Test-aligned
84Covered
9Partially covered
2Gaps
- 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 and Operations (Domain 0001)Partially covered
SMR 0001.1 · Operations and Algebraic Thinking159 questions · 9 materials · 16 cards · 4 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. applies operations and relationships between operations (e.g., division as an unknown factor problem) | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| b. analyzes properties of factors and multiples | None | Coverage gap identified | 0 | 0 | 0 | 0 | No matching topic found in the study guide. |
| c. applies strategies for writing and interpreting numerical expressions | M.Order of Operations | Covered | 25 | 1 | 1 | 1 | Covered by 1 topic (25 questions, 1 materials, 1 cards, 1 videos). |
| d. generates and analyzes patterns and relationships and identifies apparent features of patterns that are not explicit in the rule used to generate them | M.Patterns - Basic | Covered | 10 | 1 | 3 | 0 | Covered by 1 topic (10 questions, 1 materials, 3 cards, 0 videos). |
| e. applies and extends principles of arithmetic and the order of operations to algebraic expressions, equations, and inequalities | M.Operational Properties | Covered | 44 | 1 | 3 | 1 | Covered by 1 topic (44 questions, 1 materials, 3 cards, 1 videos). |
| f. uses properties of operations to generate equivalent expressions | M.Equivalence of Expressions - To Simplify; M.Equivalence of Expressions - To Expand | Covered | 32 | 2 | 9 | 1 | Covered by 2 topics (32 questions, 2 materials, 9 cards, 1 videos). |
| g. analyzes and solves linear equations and inequalities and pairs of simultaneous linear equations | M.Solving One-Variable Equations; M.Solving Linear Inequalities; M.Linear Inequality Word Problems | Covered | 33 | 3 | 2 | 0 | Covered by 3 topics (33 questions, 3 materials, 2 cards, 0 videos). |
| h. solves mathematical and real-world problems using numerical and algebraic expressions and equations | M.Linear Equation Word Problems | Covered | 15 | 1 | 0 | 1 | Covered by 1 topic (15 questions, 1 materials, 0 cards, 1 videos). |
SMR 0001.2 · Number and Operations—Base Ten and Fractions206 questions · 17 materials · 47 cards · 5 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. demonstrates knowledge of place value | M.Place Value - Elementary | Covered | 18 | 1 | 3 | 0 | Covered by 1 topic (18 questions, 1 materials, 3 cards, 0 videos). |
| b. applies understanding of place value and properties of operations to round, add, subtract, multiply, and divide multidigit numbers | M.Rounding; M.Operations with Multi-Digit Numbers - Multiplication and Division; M.Operations with Multi-Digit Numbers - Addition and Subtraction | Covered | 12 | 3 | 2 | 1 | Covered by 3 topics (12 questions, 3 materials, 2 cards, 1 videos). |
| c. analyzes decimal notation and compares decimals, decimal fractions, and fractions | M.Fraction, Decimal, Percentage Conversions | Covered | 15 | 1 | 7 | 1 | Covered by 1 topic (15 questions, 1 materials, 7 cards, 1 videos). |
| d. justifies computational algorithms | M.Operational Algorithm Relationships | Covered | 5 | 1 | 13 | 0 | Covered by 1 topic (5 questions, 1 materials, 13 cards, 0 videos). |
| e. analyzes and performs operations with decimals | M.Operations with Decimals | Partially covered | 6 | 1 | 0 | 0 | Partial coverage by 1 topic (6 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| f. applies number theory concepts (e.g., primes, divisibility, factors, least common multiple, greatest common factor) | M.Prime and Composite Numbers; M.Divisibility Rules; M.Factors; M.GCF and LCM | Covered | 73 | 4 | 9 | 2 | Covered by 4 topics (73 questions, 4 materials, 9 cards, 2 videos). |
| g. extends number operations to fractions and performs operations on fractions | M.Fraction Operations - Add and Subtract; M.Fraction Operations - Multiply and Divide; M.Fraction Operations - Mixed Numbers | Covered | 50 | 3 | 14 | 0 | Covered by 3 topics (50 questions, 3 materials, 14 cards, 0 videos). |
| h. applies properties of signed rational numbers, ordering, and the absolute value of rational numbers | M.Order Whole Numbers by Magnitude | Partially covered | 4 | 1 | 2 | 0 | Partial coverage by 1 topic (4 questions, 1 materials, 2 cards, 0 videos); limited supporting content. |
| i. applies and extends understanding of operations with fractions to add, subtract, multiply, and divide rational numbers | M.Fraction Operations - Add and Subtract | Covered | 17 | 1 | 2 | 0 | Covered by 1 topic (17 questions, 1 materials, 2 cards, 0 videos). |
| j. solves mathematical and real-world problems involving the four basic operations with rational numbers, including the use of the distributive law to justify properties of rational numbers | M.Representations of Fractions in Word Problems; M.Integers in Word Problems | Covered | 23 | 2 | 4 | 1 | Covered by 2 topics (23 questions, 2 materials, 4 cards, 1 videos). |
Ratios and Proportional Relationships and Number Systems (Domain 0002)Partially covered
SMR 0002.1 · Ratios and Proportional Relationships150 questions · 9 materials · 11 cards · 3 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. solves unit rate problems, including those involving unit pricing; constant speed; and ratios of lengths, areas, and other quantities measured in like or unlike units | M.Unit Rates; M.Ratios | Covered | 26 | 2 | 2 | 1 | Covered by 2 topics (26 questions, 2 materials, 2 cards, 1 videos). |
| b. interprets percents of a quantity as a rate per 100 and solves mathematical and real-world problems involving percents | M.Ratios and Percents | Covered | 25 | 1 | 2 | 0 | Covered by 1 topic (25 questions, 1 materials, 2 cards, 0 videos). |
| c. identifies the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships | M.Proportions; M.Directly and Inversely Proportional Relationships - Basic | Covered | 24 | 2 | 6 | 0 | Covered by 2 topics (24 questions, 2 materials, 6 cards, 0 videos). |
| d. represents proportional relationships by 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). |
| e. explains and analyzes the relationships between graphs of proportional relationships in terms of the situation represented by the relationship | M.Directly and Inversely Proportional Relationships - Basic | Covered | 9 | 1 | 3 | 0 | Covered by 1 topic (9 questions, 1 materials, 3 cards, 0 videos). |
| f. uses proportional relationships to solve multistep ratio and percent problems (e.g., simple interest rates, commissions, percent increase or decrease, percent error) | M.Percent Change; M.Percent Change - Multiple; M.Proportional Reasoning - Word Problems | Covered | 68 | 3 | 2 | 2 | Covered by 3 topics (68 questions, 3 materials, 2 cards, 2 videos). |
| g. analyzes the connections between proportional relationships, lines, and linear equations | M.Lines and Proportional Relationships | Partially covered | 7 | 1 | 2 | 0 | Partial coverage by 1 topic (7 questions, 1 materials, 2 cards, 0 videos); limited supporting content. |
| h. uses similar triangles to explain why the slope is the same between any two distinct points on a nonvertical line in the coordinate plane and graphs and analyzes linear equations | M.Lines and Proportional Relationships | Partially covered | 7 | 1 | 2 | 0 | Partial coverage by 1 topic (7 questions, 1 materials, 2 cards, 0 videos); limited supporting content. |
SMR 0002.2 · Rational and Real Number Systems91 questions · 6 materials · 17 cards · 1 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. applies knowledge of numbers that are not rational and finds rational approximations of irrational numbers | M.Characteristics of Rational Numbers | Covered | 17 | 1 | 8 | 0 | Covered by 1 topic (17 questions, 1 materials, 8 cards, 0 videos). |
| b. applies properties of repeating decimal expansions and converts between repeating decimal expansions and rational numbers | M.Repeating Decimals | Covered | 11 | 1 | 5 | 0 | Covered by 1 topic (11 questions, 1 materials, 5 cards, 0 videos). |
| c. analyzes and applies properties of integer exponents and extends them to rational exponents | M.Properties of Exponents | Covered | 25 | 1 | 1 | 0 | Covered by 1 topic (25 questions, 1 materials, 1 cards, 0 videos). |
| d. analyzes how the definition and meaning of rational exponents allows for extending the properties of integer exponents | M.Properties of Exponents | Covered | 25 | 1 | 1 | 0 | Covered by 1 topic (25 questions, 1 materials, 1 cards, 0 videos). |
| e. rewrites expressions involving radicals and rational exponents by using the properties of exponents | M.Properties of Exponents | Covered | 25 | 1 | 1 | 0 | Covered by 1 topic (25 questions, 1 materials, 1 cards, 0 videos). |
| f. uses square roots and cube roots to represent solutions to problems and equations | M.Solving Equations - Radicals and Exponents | Covered | 13 | 1 | 2 | 0 | Covered by 1 topic (13 questions, 1 materials, 2 cards, 0 videos). |
| g. performs operations with numbers expressed in scientific notation | M.Scientific Notation Operations | Covered | 13 | 1 | 0 | 1 | Covered by 1 topic (13 questions, 1 materials, 0 cards, 1 videos). |
| h. uses properties of rational and irrational numbers | M.Characteristics of Rational Numbers | Covered | 17 | 1 | 8 | 0 | Covered by 1 topic (17 questions, 1 materials, 8 cards, 0 videos). |
| i. uses units as a way to understand problems and to guide the solution of multistep problems and chooses and interprets units consistently in formulas | M.Units in Formulas | Covered | 12 | 1 | 1 | 0 | Covered by 1 topic (12 questions, 1 materials, 1 cards, 0 videos). |
Algebra, Measurement, Geometry, and Data (Domain 0003)Covered
SMR 0003.1 · Algebra284 questions · 25 materials · 53 cards · 2 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. understands the vocabulary of mathematical expressions (e.g., terms, factors, coefficients) and interprets their structures | M.Variables | Covered | 10 | 1 | 4 | 0 | Covered by 1 topic (10 questions, 1 materials, 4 cards, 0 videos). |
| b. writes expressions in equivalent forms to solve problems (e.g., factor quadratic expressions, complete the square, use properties of exponents) | M.Quadratic Equation - Solve via Factoring; M.Quadratic Equation - Solve via Complete the Square; M.Polynomials | Covered | 31 | 3 | 7 | 0 | Covered by 3 topics (31 questions, 3 materials, 7 cards, 0 videos). |
| c. performs arithmetic of polynomials and understands the relationship between zeros and factors of polynomials | M.Quadratic Equations; M.Quadratic Equation - Solve via Graphing; M.Advanced Quadratic Equation - Real World Problems | Covered | 29 | 3 | 3 | 1 | Covered by 3 topics (29 questions, 3 materials, 3 cards, 1 videos). |
| d. creates equations and inequalities in one variable and uses them to solve mathematical and real-world problems (e.g., based on verbal descriptions, tables, graphs), including equations that arise from linear, quadratic, and simple rational and exponential functions | M.Exponential Functions - Real World Problems | Covered | 17 | 1 | 5 | 0 | Covered by 1 topic (17 questions, 1 materials, 5 cards, 0 videos). |
| e. creates equations in two or more variables to represent relationships between quantities and analyzes graphs of equations on coordinate axes | M.Interpreting Graphs of Linear Equations; M.Interpreting Slopes and Intercepts of Linear Equations; M.Interpreting Graphs | Covered | 31 | 3 | 9 | 0 | Covered by 3 topics (31 questions, 3 materials, 9 cards, 0 videos). |
| f. uses systems of equations or inequalities to represent situations, including constraints (e.g., uses inequalities to represent nutritional and cost constraints on combinations of different foods) | M.Solving Systems of Linear Equations - Word Problems | Covered | 11 | 1 | 0 | 0 | Covered by 1 topic (11 questions, 1 materials, 0 cards, 0 videos). |
| g. analyzes solving equations as a process of reasoning, explains the reasoning, solves equations and inequalities in one variable, and solves systems of equations in two variables | 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). |
| h. applies the concept of a function, identifies the range and domain of a function, and uses function notation appropriately | M.Relation and Function Representations; M.Domain and Range - Continuous | Covered | 43 | 2 | 9 | 0 | Covered by 2 topics (43 questions, 2 materials, 9 cards, 0 videos). |
| i. interprets functions that arise in applications in terms of the context and analyzes key features of functions (e.g., intercepts, intervals where the function is increasing, relative maximums or minimums, zeros, asymptotes, end behavior) | M.Understanding Linear Functions and Their Properties; M.Sketch a Polynomial - From Roots | Covered | 25 | 2 | 4 | 0 | Covered by 2 topics (25 questions, 2 materials, 4 cards, 0 videos). |
| j. analyzes functions (e.g., linear, quadratic, square root, piecewise, polynomial, exponential, logarithmic) using different representations, such as graphs, verbal descriptions, equivalent algebraic forms, and numeric tables | M.Piecewise Functions; M.Radical Functions; M.Exponential Functions; M.Logarithmic Functions | Covered | 30 | 4 | 10 | 0 | Covered by 4 topics (30 questions, 4 materials, 10 cards, 0 videos). |
| k. constructs and compares linear, quadratic, and exponential models and distinguishes between those situations (mathematical and real-world) that can be modeled with linear functions and those that can be modeled with exponential functions | M.Rates of Change of Functions; M.Comparing Functions | Covered | 16 | 2 | 6 | 0 | Covered by 2 topics (16 questions, 2 materials, 6 cards, 0 videos). |
SMR 0003.2 · Measurement and Geometry301 questions · 17 materials · 65 cards · 8 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. analyzes attributes of shapes, including symmetry and properties of their lines and angles | M.Attributes of Polygons - Advanced; M.Attributes of Polygons - Lines of Symmetry; M.Solving with Points, Lines, Planes, Angles | Covered | 39 | 3 | 29 | 1 | Covered by 3 topics (39 questions, 3 materials, 29 cards, 1 videos). |
| b. solves problems involving measurement and conversions of measurement units | 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). |
| c. solves mathematical and real-world problems involving angle measure, perimeter, area, surface area, and volume | M.Volume in 3D; M.Area and Perimeter of Polygons; M.Angles and Measurements in Polygons; M.Surface Area in 3D | Covered | 117 | 4 | 27 | 2 | Covered by 4 topics (117 questions, 4 materials, 27 cards, 2 videos). |
| d. solves problems involving congruence and analyzes congruence in terms of a sequence of transformations (e.g., rotations, reflections, and translations) | M.Congruence and Similarity with Transformations; M.Rigid Transformations; M.Non-Rigid Transformations | Covered | 36 | 3 | 10 | 0 | Covered by 3 topics (36 questions, 3 materials, 10 cards, 0 videos). |
| e. graphs points and shapes on the coordinate plane to solve mathematical and realworld problems | M.Coordinate Geometry | Covered | 11 | 1 | 1 | 0 | Covered by 1 topic (11 questions, 1 materials, 1 cards, 0 videos). |
| f. applies the Pythagorean theorem to solve a variety of problems, including distance problems in the coordinate plane | M.Pythagorean Theorem | Covered | 15 | 1 | 3 | 1 | Covered by 1 topic (15 questions, 1 materials, 3 cards, 1 videos). |
| g. solves problems involving similarity and analyzes similarity in terms of scale factors and similarity transformations | M.Proportional Reasoning - Scale Drawings; M.Proportional Reasoning - 2D Shapes; M.Proportional Reasoning - 3D Figures | Covered | 34 | 3 | 3 | 2 | Covered by 3 topics (34 questions, 3 materials, 3 cards, 2 videos). |
SMR 0003.3 · Data, Statistics, and Probability233 questions · 9 materials · 49 cards · 5 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. represents, analyzes, and solves problems with data presented in various forms (e.g., line plots, bar graphs, picture graphs) | M.Graphs and Plots | Covered | 32 | 1 | 9 | 1 | Covered by 1 topic (32 questions, 1 materials, 9 cards, 1 videos). |
| b. demonstrates knowledge of statistical variability and measures and summarizes and describes data distributions (e.g., number lines, dot plots, histograms, box plots) | M.Boxplots; M.Data Analysis and Interpretation | Covered | 39 | 2 | 9 | 1 | Covered by 2 topics (39 questions, 2 materials, 9 cards, 1 videos). |
| c. demonstrates knowledge of the use of random sampling to draw inferences about a population | M.Sampling Methods | Covered | 12 | 1 | 5 | 0 | Covered by 1 topic (12 questions, 1 materials, 5 cards, 0 videos). |
| d. draws informal or comparative inferences about two populations using data distributions and measures of center (e.g., mean, median) and variability (e.g., interquartile range, mean absolute deviation, standard deviation) | M.Measures of Center and Range; M.Advanced Measures of Center and Range | Covered | 75 | 2 | 12 | 1 | Covered by 2 topics (75 questions, 2 materials, 12 cards, 1 videos). |
| e. investigates chance processes and develops, uses, and evaluates probability models (e.g., independent and dependent events) | M.Probability; M.Probability Models | Covered | 58 | 2 | 9 | 1 | Covered by 2 topics (58 questions, 2 materials, 9 cards, 1 videos). |
| f. investigates patterns of association in bivariate data using scatter plots, linear models, and two-way tables | M.Bivariate Data Analysis | Covered | 17 | 1 | 7 | 1 | Covered by 1 topic (17 questions, 1 materials, 7 cards, 1 videos). |
Instruction in Mathematics (Domain 0004)Covered
SMR 0004.1 · Instruction in Number and Operations and Algebraic Thinking30 questions · 3 materials · 0 cards · 0 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. applies strategies for teaching properties of whole numbers, counting, methods for composing and decomposing numbers, and multiple ways of representing numbers | M.Teaching - Number Concepts | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| b. demonstrates knowledge of strategies for teaching place value concepts | M.Teaching - Number Concepts | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| c. demonstrates knowledge of strategies that build understanding of the equal sign and the meaning of equations | M.Teaching - Algebra | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| d. applies strategies for developing students' fluency with number operations | M.Teaching - Operations | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| e. applies strategies for teaching operations and the relationship between operations (e.g., division as an unknown factor problem) | M.Teaching - Operations | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| f. applies methods for teaching how to represent and solve one- and two-step problems involving addition, subtraction, multiplication, and division | M.Teaching - Operations | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| g. applies methods for teaching how to round, add, subtract, multiply, and divide multidigit numbers | M.Teaching - Operations | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| h. applies strategies for teaching and justifying computational algorithms | M.Teaching - Operations | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| i. applies methods for extending students' understanding of numbers to the system of rational numbers, including concepts associated with ordering, absolute value, and negative numbers | M.Teaching - Number Concepts | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| j. applies strategies for extending students' understanding of arithmetic and the order of operations to algebraic expressions | M.Teaching - Operations | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| k. applies strategies for teaching the meaning of equations and inequalities and how to solve them | M.Teaching - Algebra | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| l. applies strategies for teaching how to use variables to represent and analyze relationships between dependent and independent variables | M.Teaching - Algebra | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
SMR 0004.2 · Instruction in Fractions and Ratios and Proportional Relationships20 questions · 2 materials · 0 cards · 0 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. applies methods for teaching how to develop understanding of fractions as numbers | M.Teaching - Fractions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| b. applies strategies for extending understanding of fraction equivalence and ordering | M.Teaching - Fractions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| c. demonstrates knowledge of strategies for teaching how to build fractions from unit fractions by applying and extending understanding of operations of whole numbers | M.Teaching - Fractions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| d. demonstrates knowledge of strategies for teaching decimal notation for fractions and for performing operations with decimals | M.Teaching - Fractions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| e. demonstrates knowledge of strategies for teaching the use of equivalent fractions as a strategy to add and subtract fractions | M.Teaching - Fractions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| f. applies strategies for teaching concepts of rate, ratio, unit rates, ratio language, and ratio relationships and for teaching connections between multiplication, division, ratio, rates, and fractions | M.Teaching - Ratios and Proportions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| g. analyzes strategies for teaching the use of ratio and rate reasoning to solve realworld and mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, equations, pairs of values plotted in the coordinate plane) | M.Teaching - Ratios and Proportions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| h. demonstrates knowledge of strategies for teaching how to use ratio reasoning to convert measurement units | M.Teaching - Ratios and Proportions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| i. applies techniques for teaching unit rate problems, including those involving unit pricing and constant speed, and for teaching ratios of lengths, areas, and other quantities measured in like or unlike units | M.Teaching - Ratios and Proportions | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
SMR 0004.3 · Instruction in Measurement and Data30 questions · 3 materials · 0 cards · 0 videosCovered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. applies strategies for teaching how to describe and compare measurable attributes | M.Teaching - Measurement (Elementary - NY) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| b. applies strategies for teaching how to classify and count objects in categories | M.Teaching - Measurement (Elementary - NY) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| c. demonstrates knowledge of strategies for teaching how to measure indirectly by iterating length units and how to measure and estimate lengths in standard units | M.Teaching - Measurement (Elementary - NY) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| d. applies strategies for relating addition and subtraction to length and for relating multiplication and addition to area | M.Teaching - Measurement (Elementary - NY) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| e. applies strategies for teaching how to compare, create, and compose shapes and how to analyze attributes of shapes, including symmetry and properties of their lines and angles | M.Teaching - Geometry (Elementary) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| f. selects strategies for teaching how to tell and write time and work with money | M.Teaching - Measurement (Elementary - NY) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| g. applies strategies for teaching how to classify objects and generate and represent measurement data | M.Teaching - Geometry (Elementary) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| h. applies strategies for teaching concepts of perimeter, area, and volume and their relationships to number operations | M.Teaching - Geometry (Elementary) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| i. applies strategies for teaching how to generate and represent measurement data and to solve problems with data (e.g., using line plots, bar graphs, or picture graphs) | M.Teaching - Data (Elementary) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
| j. applies strategies for developing understanding of statistical concepts (e.g., statistical variability, data collection, measures of center, shapes of data distributions) | M.Teaching - Data (Elementary) | Covered | 10 | 1 | 0 | 0 | Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos). |
Analysis, Synthesis, and Application (Domain 0005)Partially covered
SMR 0005.1 · Analysis, Synthesis, and Application3 questions · 3 materials · 0 cards · 0 videosPartially covered
| Official competency | Matching 240 topics | Alignment | Qs | Mats | Cards | Vids | Notes |
|---|---|---|---|---|---|---|---|
| a. analyzes and interprets samples of a student's work and other assessment data to monitor student progress and determine a student's strengths and areas of need in mathematics | CRQ.NY.222.M.; CRQ.NY.222.M.Scoring; CRQ.NY.222.M.Tips | Partially covered | 3 | 3 | 0 | 0 | Partial coverage by 3 topics (3 questions, 3 materials, 0 cards, 0 videos); limited supporting content. |
| b. demonstrates knowledge of the content by identifying and analyzing any errors or misconceptions in work samples | CRQ.NY.222.M. | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| c. describes appropriate and effective content-specific instructional strategies, activities, or interventions to address a student's identified needs | CRQ.NY.222.M. | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| d. demonstrates the ability to generate real-world scenarios that illustrate specific mathematical concepts | CRQ.NY.222.M. | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
| e. demonstrates the ability to justify the effectiveness of selected instructional strategies, activities, or interventions for promoting a student's mathematical understanding | CRQ.NY.222.M. | Partially covered | 3 | 1 | 0 | 0 | Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content. |
How 240 Creates The NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 - Grade 6): Mathematics (222) 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 NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 - Grade 6): 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 NYSTCE 222 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 NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 - Grade 6): Mathematics Study Guide
The questions teacher candidates ask us most often about the NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 - Grade 6): Mathematics study guide.
Is 240 a good study guide for NYSTCE Multi-Subject: Teachers of Childhood (Grade 1 - Grade 6): 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 NYSTCE 222 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.