TExES Physics/Mathematics 7–12 (243) Test Alignment

Why Test Alignment Matters for Your TExES Physics/Mathematics 7–12 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 TExES Physics/Mathematics 7–12 (243) 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 TExES 243 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

9Domains

255Competencies reviewed

91%Test-aligned

208Covered

46Partially 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.

Number Concepts (Domain I)Partially covered

SMR I.001 · The teacher understands the real number system and its structure, operations, algorithms and representations.191 questions · 13 materials · 46 cards · 6 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands the concepts of place value, number base and decimal representations of real numbers.	M.Place Value; M.Structure of Number Systems	Covered	44	2	7	2	Covered by 2 topics (44 questions, 2 materials, 7 cards, 2 videos).
B. Understands the algebraic structure and properties of the real number system and its subsets (e.g., real numbers as a field, integers as an additive group).	M.Structure of Number Systems	Covered	11	1	5	1	Covered by 1 topic (11 questions, 1 materials, 5 cards, 1 videos).
C. Describes and analyzes properties of subsets of the real numbers (e.g., closure, identities).	M.Group, Ring, and Field Theory; M.Characteristics of Rational Numbers; M.Identities	Covered	34	3	16	0	Covered by 3 topics (34 questions, 3 materials, 16 cards, 0 videos).
D. Selects and uses appropriate representations of real numbers (e.g., fractions, decimals, percents, roots, exponents, scientific notation) for particular situations.	M.Representations of Fractions in Word Problems; M.Fraction, Decimal, Percentage Conversions; M.Scientific Notation Operations	Covered	39	3	7	3	Covered by 3 topics (39 questions, 3 materials, 7 cards, 3 videos).
E. Uses a variety of models (e.g., geometric, symbolic) to represent operations, algorithms and real numbers.	M.Operational Properties; M.Operational Algorithm Relationships	Covered	49	2	16	1	Covered by 2 topics (49 questions, 2 materials, 16 cards, 1 videos).
F. Uses real numbers to model and solve a variety of problems.	M.Justify and Prove Number Relationships	Covered	12	1	2	0	Covered by 1 topic (12 questions, 1 materials, 2 cards, 0 videos).
G. Uses deductive reasoning to simplify and justify algebraic processes.	M.Inductive vs Deductive Reasoning	Covered	10	1	3	0	Covered by 1 topic (10 questions, 1 materials, 3 cards, 0 videos).
H. Demonstrates how some problems that have no solution in the integer or rational number systems have solutions in the real number system.	M.Operations and Rational and Irrational Numbers	Partially covered	3	1	0	0	Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content.

SMR I.002 · The teacher understands the complex number system and its structure, operations, algorithms and representations.84 questions · 10 materials · 26 cards · 2 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Demonstrates how some problems that have no solution in the real number system have solutions in the complex number system.	M.Imaginary and Complex Numbers	Covered	10	1	10	1	Covered by 1 topic (10 questions, 1 materials, 10 cards, 1 videos).
B. Understands the properties of complex numbers (e.g., complex conjugate, magnitude/modulus, multiplicative inverse).	M.Complex Numbers and Their Conjugates; M.Complex Numbers - Inverses; M.Complex Numbers - Modulus	Covered	23	3	7	0	Covered by 3 topics (23 questions, 3 materials, 7 cards, 0 videos).
C. Understands the algebraic structure of the complex number system and its subsets (e.g., complex numbers as a field, complex addition as vector addition).	M.Complex Numbers - Distance	Partially covered	4	1	3	0	Partial coverage by 1 topic (4 questions, 1 materials, 3 cards, 0 videos); limited supporting content.
D. Selects and uses appropriate representations of complex numbers (e.g., vector, ordered pair, polar, exponential) for particular situations.	M.Complex Numbers and the Complex Plane; M.Different Representations of Complex Numbers; M.Polar Coordinates	Covered	23	3	7	0	Covered by 3 topics (23 questions, 3 materials, 7 cards, 0 videos).
E. Describes complex number operations (e.g., addition, multiplication, roots) using symbolic and geometric representations.	M.Operations with Complex Numbers; M.Operations with Complex Numbers - Division	Covered	24	2	3	1	Covered by 2 topics (24 questions, 2 materials, 3 cards, 1 videos).

SMR I.003 · The teacher understands number theory concepts and principles and uses numbers to model and solve problems in a variety of situations.286 questions · 20 materials · 44 cards · 6 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Applies ideas from number theory (e.g., prime numbers and factorization, the Euclidean algorithm, divisibility, congruence classes, modular arithmetic, the fundamental theorem of arithmetic) to solve problems.	M.Prime and Composite Numbers; M.Factors; M.Prime Factorization; M.Euclidean Algorithm; M.Congruence Classes and Modular Arithmetic	Covered	91	5	16	3	Covered by 5 topics (91 questions, 5 materials, 16 cards, 3 videos).
B. Applies number theory concepts and principles to justify and prove number relationships.	M.Justify and Prove Number Relationships	Covered	12	1	2	0	Covered by 1 topic (12 questions, 1 materials, 2 cards, 0 videos).
C. Compares and contrasts properties of vectors and matrices with properties of number systems (e.g., existence of inverses, non-commutative operations).	M.Matrices and Multiplication; M.Matrices and Addition Subtraction; M.Properties of Matrices; M.Vectors and Scalars; M.Vector Addition and Subtraction	Covered	27	5	10	0	Covered by 5 topics (27 questions, 5 materials, 10 cards, 0 videos).
D. Uses properties of numbers (e.g., fractions, decimals, percents, ratios, proportions) to model and solve real-world problems.	M.Ratios; M.Fraction Operations - Mixed Numbers; M.Ratios, Proportions, Percents; M.Constants of Proportionality; M.Percent Change; M.Proportional Reasoning - Scale Drawings	Covered	96	6	10	3	Covered by 6 topics (96 questions, 6 materials, 10 cards, 3 videos).
E. Applies counting techniques such as permutations and combinations to quantify situations and solve problems.	M.Combinations and Permutations	Covered	20	1	2	0	Covered by 1 topic (20 questions, 1 materials, 2 cards, 0 videos).
F. Uses estimation techniques to solve problems and judges the reasonableness of solutions.	M.Reasonableness of Results; M.Mental Math and Estimation	Covered	40	2	7	0	Covered by 2 topics (40 questions, 2 materials, 7 cards, 0 videos).

Patterns and Algebra (Domain II)Partially covered

SMR II.004 · The teacher uses patterns to model and solve problems and formulate conjectures.132 questions · 12 materials · 27 cards · 3 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Recognizes and extends patterns and relationships in data presented in tables, sequences or graphs.	M.Patterns - Developing a Linear Formula; M.Creating Formulas for Patterns - Arithmetic and Geometric	Covered	46	2	4	2	Covered by 2 topics (46 questions, 2 materials, 4 cards, 2 videos).
B. Uses methods of recursion and iteration to model and solve problems.	M.Recursion and Iteration	Partially covered	3	1	1	0	Partial coverage by 1 topic (3 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
C. Uses the principle of mathematical induction.	M.Creating Formulas for Patterns - Arithmetic and Geometric; M.Mathematical Induction for Creating Formulas	Covered	37	2	4	1	Covered by 2 topics (37 questions, 2 materials, 4 cards, 1 videos).
D. Analyzes the properties of sequences and series (e.g., Fibonacci, arithmetic, geometric) and uses them to solve problems involving finite and infinite processes.	M.Types of Sequences; M.Patterns - Developing an Expression; M.Fibonacci Sequences; M.Concepts of Series and Sequence; M.Find Sum of Series	Covered	43	5	16	1	Covered by 5 topics (43 questions, 5 materials, 16 cards, 1 videos).
E. Understands how sequences and series are applied to solve problems in the mathematics of finance (e.g., simple, compound and continuous interest rates; annuities).	M.Exponential Functions - Real World Problems; M.Exponential Functions - Real World Problems - Compound Interest; M.Exponential Functions - Real World Problems - Annuities	Covered	32	3	8	0	Covered by 3 topics (32 questions, 3 materials, 8 cards, 0 videos).

SMR II.005 · The teacher understands attributes of functions, relations and their graphs.131 questions · 13 materials · 22 cards · 0 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Understands when a relation is a function.	M.Relation and Function Representations	Covered	39	1	4	Covered by 1 topic (39 questions, 1 materials, 4 cards, 0 videos).
B. Identifies the mathematical domain and range of functions and relations and determines reasonable domains for given situations.	M.Domain and Range - Discrete; M.Domain and Range - Continuous; M.Domain and Range - Set Notation; M.Domain and Range - Applications	Covered	14	4	6	Covered by 4 topics (14 questions, 4 materials, 6 cards, 0 videos).
C. Understands that a function represents a dependence of one quantity on another and can be represented in a variety of ways (e.g., concrete models, tables, graphs, diagrams, verbal descriptions, symbols).	M.Relation and Function Representations	Covered	39	1	4	Covered by 1 topic (39 questions, 1 materials, 4 cards, 0 videos).
D. Identifies and analyzes even and odd functions, one-to-one functions, inverse functions and their graphs.	M.Surjective vs Injective; M.Function Composition and Inversion; M.Even and Odd Functions	Covered	39	3	6	Covered by 3 topics (39 questions, 3 materials, 6 cards, 0 videos).
E. Applies basic transformations [e.g., k f(x), f(x) + k, f(x – k), f(kx), \|f(x)\|] to a parent function, f, and describes the effects on the graph of y = f(x).	M.Functional Transformations - Linear and Quadratic; M.Functional Transformations - Exponential; M.Parent Functions	Covered	31	3	6	Covered by 3 topics (31 questions, 3 materials, 6 cards, 0 videos).
F. Performs operations (e.g., sum, difference, composition) on functions, finds inverse relations and describes results symbolically and graphically.	M.Function Composition and Inversion; M.Advanced Domain and Range of Functions - Composition; M.Combining Functions	Covered	29	3	5	Covered by 3 topics (29 questions, 3 materials, 5 cards, 0 videos).
G. Uses graphs of functions to formulate conjectures of identities [e.g., y = x2 − 1 and y = (x – 1)(x + 1), y = log x3 and y = 3 log x, y = sin(x + ) and y = cos x].	M.Parent Functions	Partially covered	7	1	1	Partial coverage by 1 topic (7 questions, 1 materials, 1 cards, 0 videos); limited supporting content.

SMR II.006 · The teacher understands linear and quadratic functions, analyzes their algebraic and graphical properties and uses them to model and solve problems.247 questions · 26 materials · 21 cards · 7 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands the concept of slope as a rate of change and interprets the meaning of slope and intercept in a variety of situations.	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. Writes equations of lines given various characteristics (e.g., two points, a point and slope, slope and y-intercept).	M.Linear Equations - Rearrange to Slope-Intercept Form; M.Understanding Linear Equations and Their Properties; M.Linear Equations - Standard Form; M.Linear Equations - Point-Slope Form	Covered	45	4	4	0	Covered by 4 topics (45 questions, 4 materials, 4 cards, 0 videos).
C. Applies techniques of linear and matrix algebra to represent and solve problems involving linear systems.	M.Solving Systems of Linear Equations; M.Solving Systems of Linear Inequalities; M.Matrices to Solve Systems of Equations	Covered	31	3	1	1	Covered by 3 topics (31 questions, 3 materials, 1 cards, 1 videos).
D. Analyzes the zeros (real and complex) of quadratic functions.	M.Quadratic Equations; M.Quadratic Equations with Complex Roots; M.Sketch a Polynomial - From Roots	Covered	33	3	5	1	Covered by 3 topics (33 questions, 3 materials, 5 cards, 1 videos).
E. Makes connections between the y = ax2 + bx + c and the y = a(x – h)2 + k representations of a quadratic function and its graph.	M.Sketch a Quadratic - Standard Form; M.Sketch a Quadratic - Vertex Form	Covered	19	2	2	1	Covered by 2 topics (19 questions, 2 materials, 2 cards, 1 videos).
F. Solves problems involving quadratic functions using a variety of methods (e.g., factoring, completing the square, using the quadratic formula, using a graphing calculator).	M.Quadratic Equation - Solve via Graphing; M.Quadratic Equation - Solve via Factoring; M.Quadratic Equation - Solve via Complete the Square; M.Quadratic Equation - Solve via Quadratic Formula; M.Advanced Quadratic Equation - Real World Problems	Covered	41	5	3	0	Covered by 5 topics (41 questions, 5 materials, 3 cards, 0 videos).
G. Models and solves problems involving linear and quadratic equations and inequalities using a variety of methods, including technology.	M.Solve for x - Linear; M.Solve for x - Linear (Multiple Variables); M.Interpreting Inequalities; M.Solve Linear Inequalities - Graphically; M.Solve Quadratic Inequalities - Algebraically; M.Solve Quadratic Inequalities - Graphically; M.Quadratic Inequalities - Create Shaded Graph; M.Solve for x - Nonlinear	Covered	65	8	7	4	Covered by 8 topics (65 questions, 8 materials, 7 cards, 4 videos).

SMR II.007 · The teacher understands polynomial, rational, radical, absolute value and piecewise functions, analyzes their algebraic and graphical properties and uses them to model and solve problems.140 questions · 17 materials · 47 cards · 1 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Recognizes and translates among various representations (e.g., written, tabular, graphical, algebraic) of polynomial, rational, radical, absolute value and piecewise functions.	M.Polynomials; M.Advanced Factoring Polynomials; M.Absolute Value Functions; M.Piecewise Functions	Covered	27	4	9	0	Covered by 4 topics (27 questions, 4 materials, 9 cards, 0 videos).
B. Describes restrictions on the domains and ranges of polynomial, rational, radical, absolute value and piecewise functions.	M.Advanced Domain and Range of Functions; M.Advanced Domain and Range of Functions - Piecewise	Covered	6	2	7	0	Covered by 2 topics (6 questions, 2 materials, 7 cards, 0 videos).
C. Makes and uses connections among the significant points (e.g., zeros, local extrema, points where a function is not continuous or not differentiable) of a function, the graph of the function and the function’s symbolic representation.	M.Conjectures from Graphs	Partially covered	0	0	0	0	Partial coverage by 1 topic (0 questions, 0 materials, 0 cards, 0 videos); limited supporting content.
D. Analyzes functions in terms of vertical, horizontal and slant asymptotes.	None	Coverage gap identified	0	0	0	0	No matching topic found in the study guide.
E. Analyzes and applies the relationship between inverse variation and rational functions.	M.Determine the Validity of an Inverse	Partially covered	3	1	5	0	Partial coverage by 1 topic (3 questions, 1 materials, 5 cards, 0 videos); limited supporting content.
F. Solves equations and inequalities involving polynomial, rational, radical, absolute value and piecewise functions using a variety of methods (e.g., tables, algebraic methods, graphs, use of a graphing calculator) and evaluates the reasonableness of solutions.	M.Solve for x - Radical; M.Solving Equations - Rational; M.Solving Piecewise Functions; M.Advanced Equivalence of Expressions - To Simplify; M.Equivalence of Expressions - To Expand; M.Equivalence of Expressions - To Simplify	Covered	64	6	11	1	Covered by 6 topics (64 questions, 6 materials, 11 cards, 1 videos).
G. Models situations using polynomial, rational, radical, absolute value and piecewise functions and solves problems using a variety of methods, including technology.	M.Estimating Solutions to Systems	Partially covered	6	1	1	0	Partial coverage by 1 topic (6 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
H. Models situations using proportional and inverse variations, including describing physical laws such as Hook's law, Newton's second law of motion and Boyle's law.	M.Directly and Inversely Proportional Relationships - Advanced	Covered	6	1	5	0	Covered by 1 topic (6 questions, 1 materials, 5 cards, 0 videos).
I. Uses precision and accuracy in real-life situations related to measurement and significant figures.	M.Advanced Measurement Principles	Covered	9	1	6	0	Covered by 1 topic (9 questions, 1 materials, 6 cards, 0 videos).
J. Applies and analyzes published ratings, weighted averages and indices to make informed decisions.	M.Advanced Measures of Center and Range	Covered	19	1	9	0	Covered by 1 topic (19 questions, 1 materials, 9 cards, 0 videos).
K. Uses proportionality to solve problems involving quantities that are not easily measured.	M.Directly and Inversely Proportional Relationships - Advanced	Covered	6	1	5	0	Covered by 1 topic (6 questions, 1 materials, 5 cards, 0 videos).

SMR II.008 · The teacher understands exponential and logarithmic functions, analyses their algebraic and graphical properties and uses them to model and solve problems.90 questions · 10 materials · 19 cards · 0 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Recognizes and translates among various representations (e.g., written, numerical, tabular, graphical, algebraic) of exponential and logarithmic functions.	M.Exponential Functions - Reflections; M.Logarithmic Functions	Covered	9	2	3	Covered by 2 topics (9 questions, 2 materials, 3 cards, 0 videos).
B. Recognizes and uses connections among significant characteristics (e.g., intercepts, asymptotes) of a function involving exponential or logarithmic expressions, the graph of the function and the function’s symbolic representation.	M.Logarithmic Functions; M.Exponential Functions - Asymptotes	Covered	12	2	3	Covered by 2 topics (12 questions, 2 materials, 3 cards, 0 videos).
C. Understands the relationship between exponential and logarithmic functions and uses the laws and properties of exponents and logarithms to simplify expressions and solve problems.	M.Logarithmic Functions; M.Properties of Logarithms; M.Exponential Functions; M.Solving Equations - Logarithmic and Exponential	Covered	47	4	13	Covered by 4 topics (47 questions, 4 materials, 13 cards, 0 videos).
D. Uses a variety of representations and techniques (e.g., numerical methods, tables, graphs, analytic techniques, graphing calculators) to solve equations, inequalities and systems involving exponential and logarithmic functions.	M.Exponential Functions - Asymptotes; M.Logarithmic Functions - Graph	Covered	10	2	2	Covered by 2 topics (10 questions, 2 materials, 2 cards, 0 videos).
E. Models and solves problems involving exponential growth and decay.	M.Exponential Functions	Covered	12	1	3	Covered by 1 topic (12 questions, 1 materials, 3 cards, 0 videos).
F. Uses logarithmic scales (e.g., Richter, decibel) to describe phenomena and solve problems.	M.Logarithmic Phenomena	Partially covered	4	1	2	Partial coverage by 1 topic (4 questions, 1 materials, 2 cards, 0 videos); limited supporting content.
G. Uses exponential and logarithmic functions to model and solve problems involving the mathematics of finance (e.g., compound interest).	M.Exponential Functions - Real World Problems	Covered	17	1	5	Covered by 1 topic (17 questions, 1 materials, 5 cards, 0 videos).
H. Uses the exponential function to model situations and solve problems in which the rate of change of a quantity is proportional to the current amount of the quantity [i.e.,].	M.Exponential Functions - Real World Problems - Compound Interest	Covered	11	1	4	Covered by 1 topic (11 questions, 1 materials, 4 cards, 0 videos).

SMR II.009 · The teacher understands trigonometric and circular functions, analyzes their algebraic and graphical properties and uses them to model and solve problems.89 questions · 11 materials · 5 cards · 0 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Analyzes the relationships among the unit circle in the coordinate plane, circular functions and the trigonometric functions.	M.The Unit Circle	Covered	9	1	0	Covered by 1 topic (9 questions, 1 materials, 0 cards, 0 videos).
B. Recognizes and translates among various representations (e.g., written, numerical, tabular, graphical, algebraic) of trigonometric functions and their inverses.	M.Trigonometric Ratio Graphs - Real Word Problems	Partially covered	7	1	0	Partial coverage by 1 topic (7 questions, 1 materials, 0 cards, 0 videos); limited supporting content.
C. Recognizes and uses connections among significant properties (e.g., zeros, axes of symmetry, local extrema) and characteristics (e.g., amplitude, frequency, phase shift) of a trigonometric function, the graph of the function and the function’s symbolic representation.	M.Trigonometric Ratio Graphs	Covered	19	1	3	Covered by 1 topic (19 questions, 1 materials, 3 cards, 0 videos).
D. Understands the relationships between trigonometric functions and their inverses and uses these relationships to solve problems.	M.Laws of Sines and Cosines; M.Inverse Trigonometric Ratios	Covered	19	2	2	Covered by 2 topics (19 questions, 2 materials, 2 cards, 0 videos).
E. Uses trigonometric identities to simplify expressions and solve equations.	M.Advanced Trigonometric Identities - Special Triangles; M.Advanced Trigonometric Identities - Quotient and Reciprocal; M.Advanced Trigonometric Identities - Pythagorean Identities; M.Advanced Trigonometric Identities - More	Covered	22	4	0	Covered by 4 topics (22 questions, 4 materials, 0 cards, 0 videos).
F. Models and solves a variety of problems (e.g., analyzing periodic phenomena) using trigonometric functions.	M.Analyze and Solve Trigonometric Functions	Covered	11	1	0	Covered by 1 topic (11 questions, 1 materials, 0 cards, 0 videos).
G. Uses graphing calculators to analyze and solve problems involving trigonometric functions.	M.Trigonometric Ratio Graphs - Real Word Problems; M.Trigonometric Ratio Graphs; M.Technology and Trigonometric Function Problems	Covered	28	3	3	Covered by 3 topics (28 questions, 3 materials, 3 cards, 0 videos).

SMR II.010 · The teacher understands and solves problems using differential and integral calculus.101 questions · 13 materials · 27 cards · 0 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Understands the concept of limit and the relationship between limits and continuity.	M.Calculus Connections to Formulas; M.Limits and Continuity; M.Limits and Continuity - Asymptote Equations; M.Limits That Do Not Exist	Covered	41	4	6	Covered by 4 topics (41 questions, 4 materials, 6 cards, 0 videos).
B. Relates the concept of average rate of change to the slope of the secant line and relates the concept of instantaneous rate of change to the slope of the tangent line.	M.Derivatives and Slopes; M.Rates of Change - Average vs Instantaneous; M.Calculus - Rates	Covered	33	3	13	Covered by 3 topics (33 questions, 3 materials, 13 cards, 0 videos).
C. Uses the first and second derivatives to analyze the graph of a function (e.g., local extrema, concavity, points of inflection).	M.Derivatives and Slopes	Covered	15	1	7	Covered by 1 topic (15 questions, 1 materials, 7 cards, 0 videos).
D. Understands and applies the fundamental theorem of calculus and the relationship between differentiation and integration.	M.Foundational Theorems of Calculus	Covered	8	1	5	Covered by 1 topic (8 questions, 1 materials, 5 cards, 0 videos).
E. Models and solves a variety of problems (e.g., velocity, acceleration, optimization, related rates, work, center of mass) using differential and integral calculus.	M.Calculus - Velocity and Acceleration; M.Integration; M.Calculus - Work; M.Calculus - Center of Mass	Covered	18	4	7	Covered by 4 topics (18 questions, 4 materials, 7 cards, 0 videos).
F. Analyzes how technology can be used to solve problems and illustrate concepts involving differential and integral calculus.	M.Derivatives and Slopes; M.Technology and Calculus Problems	Covered	16	2	7	Covered by 2 topics (16 questions, 2 materials, 7 cards, 0 videos).

Geometry and Measurement (Domain III)Partially covered

SMR III.011 · The teacher understands measurement as a process.264 questions · 16 materials · 26 cards · 7 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Applies dimensional analysis to derive units and formulas in a variety of situations (e.g., rates of change of one variable with respect to another) and to find and evaluate solutions to problems.	M.Rearranging Formulas; M.Metric System; M.Converting Units - Dimensional Analysis	Covered	57	3	5	2	Covered by 3 topics (57 questions, 3 materials, 5 cards, 2 videos).
B. Applies formulas for perimeter, area, surface area and volume of geometric figures and shapes (e.g., polygons, pyramids, prisms, cylinders, cones, spheres) to solve problems.	M.Area and Perimeter of Polygons	Covered	48	1	2	0	Covered by 1 topic (48 questions, 1 materials, 2 cards, 0 videos).
C. Recognizes the effects on length, area or volume when the linear dimensions of plane figures or solids are changed.	M.Dimensional Changes Affecting Area and Volume; M.Surface Area in 3D; M.Volume in 3D; M.Convert Between Surface Area and Volume	Covered	83	4	5	2	Covered by 4 topics (83 questions, 4 materials, 5 cards, 2 videos).
D. Applies the Pythagorean theorem, proportional reasoning and right triangle trigonometry to solve measurement problems.	M.Pythagorean Theorem; M.Trigonometric Ratios; M.Proportional Reasoning - 2D Shapes; M.Prove Theorems - Triangles	Covered	48	4	10	3	Covered by 4 topics (48 questions, 4 materials, 10 cards, 3 videos).
E. Relates the concept of area under a curve to the limit of a Riemann sum.	M.Riemann Sums	Partially covered	6	1	1	0	Partial coverage by 1 topic (6 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
F. Uses integral calculus to compute various measurements associated with curves and regions (e.g., area, arc length) in the plane, and measurements associated with curves, surfaces and regions in three-space.	M.Areas by Integration; M.Volumes by Integration; M.Distance by Integration	Covered	22	3	4	0	Covered by 3 topics (22 questions, 3 materials, 4 cards, 0 videos).

SMR III.012 · The teacher understands geometries, in particular Euclidian geometry, as axiomatic systems.167 questions · 14 materials · 38 cards · 5 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands axiomatic systems and their components (e.g., undefined terms, defined terms, theorems, examples, counterexamples).	M.Proofs	Covered	8	1	3	0	Covered by 1 topic (8 questions, 1 materials, 3 cards, 0 videos).
B. Uses properties of points, lines, planes, angles, lengths and distances to solve problems.	M.Coordinate Geometry; M.The Coordinate Plane; M.Solving with Points, Lines, Planes, Angles; M.Slope, Midpoint, and Distance	Covered	72	4	11	3	Covered by 4 topics (72 questions, 4 materials, 11 cards, 3 videos).
C. Applies the properties of parallel and perpendicular lines to solve problems.	M.Points, Lines, Planes, Angles	Covered	13	1	12	1	Covered by 1 topic (13 questions, 1 materials, 12 cards, 1 videos).
D. Uses properties of congruence and similarity to explore geometric relationships, justify conjectures and prove theorems.	M.Parallel and Perpendicular Lines and Formulas	Covered	19	1	3	1	Covered by 1 topic (19 questions, 1 materials, 3 cards, 1 videos).
E. Describes and justifies geometric constructions made using compass and straightedge, reflection devices and other appropriate technologies.	M.Geometric Constructions; M.Advanced Geometric Constructions - Lines; M.Advanced Geometric Constructions - Shapes; M.Advanced Geometric Constructions - Triangles; M.Advanced Geometric Constructions - Angles	Covered	47	5	2	0	Covered by 5 topics (47 questions, 5 materials, 2 cards, 0 videos).
F. Demonstrates an understanding of the use of appropriate software to explore attributes of geometric figures and to make and evaluate conjectures about geometric relationships.	M.Geometric Constructions	Partially covered	4	1	2	0	Partial coverage by 1 topic (4 questions, 1 materials, 2 cards, 0 videos); limited supporting content.
G. Compares and contrasts the axioms of Euclidean geometry with those of non-Euclidean geometry (i.e., hyperbolic and elliptic geometry).	M.Euclidean Versus Non-Euclidean Geometry; M.Taxicab Measurements	Covered	8	2	7	0	Covered by 2 topics (8 questions, 2 materials, 7 cards, 0 videos).

SMR III.013 · The teacher understands the results, uses and applications of Euclidian geometry.305 questions · 21 materials · 89 cards · 6 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Analyzes the properties of polygons and their components.	M.Angles in Triangles; M.Angles and Measurements in Polygons; M.Attributes of Polygons - Advanced	Covered	41	3	35	1	Covered by 3 topics (41 questions, 3 materials, 35 cards, 1 videos).
B. Analyzes the properties of circles and the lines that intersect them.	M.Measurements in Circles; M.Measurements in Circles Advanced	Covered	40	2	12	1	Covered by 2 topics (40 questions, 2 materials, 12 cards, 1 videos).
C. Uses geometric patterns and properties (e.g., similarity, congruence) to make generalizations about two- and three-dimensional figures and shapes (e.g., relationships of sides, angles).	M.Advanced Similar Shapes; M.Apply Triangle Properties; M.Apply Triangle Inequalities; M.Measurements Inside Triangles	Covered	45	4	29	0	Covered by 4 topics (45 questions, 4 materials, 29 cards, 0 videos).
D. Computes the perimeter, area and volume of figures and shapes created by subdividing and combining other figures and shapes (e.g., arc length, area of sectors).	M.Area and Perimeter of Polygons; M.Combine and Dissect 2D Figures	Covered	56	2	2	0	Covered by 2 topics (56 questions, 2 materials, 2 cards, 0 videos).
E. Analyzes cross-sections and nets of three-dimensional shapes.	M.Nets	Covered	17	1	1	0	Covered by 1 topic (17 questions, 1 materials, 1 cards, 0 videos).
F. Uses top, front, side and corner views of three-dimensional shapes to create complete representations and solve problems.	M.Surface Area in 3D; M.Attributes of Three Dimensional Figures; M.2D of 3D shape; M.Rotating 3D Objects; M.Pyramids and Prisms	Covered	54	5	14	3	Covered by 5 topics (54 questions, 5 materials, 14 cards, 3 videos).
G. Applies properties of two- and three-dimensional shapes to solve problems across the curriculum and in everyday life.	M.Angles and Measurements in Polygons	Covered	18	1	20	0	Covered by 1 topic (18 questions, 1 materials, 20 cards, 0 videos).
H. Uses similarity, geometric transformations, symmetry and perspective drawings to describe mathematical patterns and structure in architecture.	M.Attributes of Polygons - Similar vs Congruent	Covered	10	1	2	0	Covered by 1 topic (10 questions, 1 materials, 2 cards, 0 videos).
I. Uses scale factors with two-dimensional and three-dimensional objects to demonstrate proportional and nonproportional changes in surface area and volume as applied to fields.	M.Proportional Reasoning - 3D Figures	Covered	8	1	2	0	Covered by 1 topic (8 questions, 1 materials, 2 cards, 0 videos).
J. Uses the Pythagorean theorem and special right-triangle relationships to calculate distances.	M.Pythagorean Theorem	Covered	15	1	3	1	Covered by 1 topic (15 questions, 1 materials, 3 cards, 1 videos).
K. Uses trigonometric ratios to calculate distances and angle measures as applied to fields, including using models of periodic behavior in art and music.	M.Trigonometric Ratio Graphs	Covered	19	1	3	0	Covered by 1 topic (19 questions, 1 materials, 3 cards, 0 videos).
L. Solves geometric problems involving indirect measurement, including similar triangles, the Pythagorean theorem, law of sines, law of cosines and the use of dynamic geometry software.	M.Pythagorean Theorem	Covered	15	1	3	1	Covered by 1 topic (15 questions, 1 materials, 3 cards, 1 videos).

SMR III.014 · The teacher understands coordinate, transformational and vector geometry and their connections.101 questions · 8 materials · 19 cards · 2 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Identifies transformations (i.e., reflections, translations, glide-reflections, rotations, dilations) and explores their properties.	M.Non-Rigid Transformations; M.Rigid Transformations	Covered	25	2	8	0	Covered by 2 topics (25 questions, 2 materials, 8 cards, 0 videos).
B. Uses the properties of transformations and their compositions to solve problems.	M.Multiple Transformations	Covered	18	1	2	0	Covered by 1 topic (18 questions, 1 materials, 2 cards, 0 videos).
C. Uses transformations to explore and describe reflectional, rotational and translational symmetry.	M.Rigid Transformations	Covered	16	1	4	0	Covered by 1 topic (16 questions, 1 materials, 4 cards, 0 videos).
D. Applies transformations in the coordinate plane.	M.Rigid Transformations	Covered	16	1	4	0	Covered by 1 topic (16 questions, 1 materials, 4 cards, 0 videos).
E. Applies concepts and properties of slope, midpoint, parallelism, perpendicularity and distance to explore properties of geometric figures and solve problems in the coordinate plane.	M.Slope, Midpoint, and Distance; M.Parallel and Perpendicular Lines and Formulas	Covered	35	2	3	2	Covered by 2 topics (35 questions, 2 materials, 3 cards, 2 videos).
F. Uses coordinate geometry to derive and explore the equations, properties and applications of conic sections (i.e., lines, circles, hyperbolas, ellipses, parabolas).	M.Conic Sections	Covered	10	1	4	0	Covered by 1 topic (10 questions, 1 materials, 4 cards, 0 videos).
G. Relates geometry and algebra by representing transformations as matrices and uses this relationship to solve problems.	M.Solving with Matrix Transformations	Covered	8	1	0	0	Covered by 1 topic (8 questions, 1 materials, 0 cards, 0 videos).
H. Explores the relationship between geometric and algebraic representations of vectors and uses this relationship to solve problems.	M.Solving with Vector Representations	Partially covered	5	1	2	0	Partial coverage by 1 topic (5 questions, 1 materials, 2 cards, 0 videos); limited supporting content.

Probability and Statistics (Domain IV)Partially covered

SMR IV.015 · The teacher understands how to use appropriate graphical and numerical techniques to explore data, characterize patterns and describe departures from patterns.202 questions · 11 materials · 41 cards · 3 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Selects and uses an appropriate measurement scale (i.e., nominal, ordinal, interval, ratio) to answer research questions and analyze data.	M.Selecting Measurement Scales	Partially covered	2	1	4	0	Partial coverage by 1 topic (2 questions, 1 materials, 4 cards, 0 videos); limited supporting content.
B. Organizes, displays and interprets data in a variety of formats (e.g., tables, frequency distributions, scatter plots, stem-and-leaf plots, box-and-whisker plots, histograms, pie charts).	M.Graphs and Plots; M.Boxplots; M.Data Analysis and Interpretation	Covered	71	3	17	2	Covered by 3 topics (71 questions, 3 materials, 17 cards, 2 videos).
C. Applies concepts of center, spread, shape and skewness to describe a data distribution.	M.Describing Data Patterns and Outliers	Covered	5	1	11	0	Covered by 1 topic (5 questions, 1 materials, 11 cards, 0 videos).
D. Understands measures of central tendency (i.e., mean, median, mode) and dispersion (i.e., range, interquartile range, variance, standard deviation).	M.Advanced Measures of Center and Range; M.Measures of Center and Range	Covered	75	2	12	1	Covered by 2 topics (75 questions, 2 materials, 12 cards, 1 videos).
E. Applies linear transformations (i.e., translating, stretching, shrinking) to convert data and describes the effect of linear transformations on measures of central tendency and dispersion.	M.Linear Data Transformations; M.Effect of Change in Data on Measures of Center and Range	Covered	18	2	4	0	Covered by 2 topics (18 questions, 2 materials, 4 cards, 0 videos).
F. Analyzes connections among concepts of center and spread, data clusters and gaps, data outliers and measures of central tendency and dispersion.	M.Advanced Measures of Center and Range; M.Normal Distribution	Covered	35	2	11	0	Covered by 2 topics (35 questions, 2 materials, 11 cards, 0 videos).
G. Supports arguments, makes predictions and draws conclusions using summary statistics and graphs to analyze and interpret one-variable data.	M.Level of Confidence	Covered	15	1	4	0	Covered by 1 topic (15 questions, 1 materials, 4 cards, 0 videos).

SMR IV.016 · The teacher understands concepts and applications of probability.174 questions · 16 materials · 34 cards · 5 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands how to explore concepts of probability through sampling, experiments and simulations and generates and uses probability models to represent situations.	M.Probability Models; M.Probability Simulations; M.Probability Distributions - From Simulation	Covered	18	3	4	0	Covered by 3 topics (18 questions, 3 materials, 4 cards, 0 videos).
B. Uses the concepts and principles of probability to describe the outcomes of simple and compound events.	M.Expressing Probabilities; M.Probability; M.Simple and Compound Events	Covered	61	3	10	2	Covered by 3 topics (61 questions, 3 materials, 10 cards, 2 videos).
C. Determines probabilities by constructing sample spaces to model situations.	M.Diagrams; M.Sample Spaces to Determine Probabilities; M.Fundamental Counting Principle	Covered	30	3	4	2	Covered by 3 topics (30 questions, 3 materials, 4 cards, 2 videos).
D. Solves a variety of probability problems using combinations and permutations.	M.Combinations and Permutations	Covered	20	1	2	0	Covered by 1 topic (20 questions, 1 materials, 2 cards, 0 videos).
E. Solves a variety of probability problems using ratios of areas of geometric regions.	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.
F. Calculates probabilities using the axioms of probability and related theorems and concepts such as the addition rule, multiplication rule, conditional probability and independence.	M.Tables to Determine Independence	Covered	8	1	2	0	Covered by 1 topic (8 questions, 1 materials, 2 cards, 0 videos).
G. Understands expected value, variance and standard deviation of probability distributions (e.g., binomial, geometric, uniform, normal).	M.Probability Distributions; M.Comparing to Probability Distribution	Covered	16	2	10	0	Covered by 2 topics (16 questions, 2 materials, 10 cards, 0 videos).
H. Applies concepts and properties of discrete and continuous random variables to model and solve a variety of problems involving probability and probability distributions (e.g., binomial, geometric, uniform, normal).	M.Using Distributions; M.Uniform Distributions	Covered	18	2	8	0	Covered by 2 topics (18 questions, 2 materials, 8 cards, 0 videos).

SMR IV.017 · The teacher understands the relationships among probability theory, sampling and statistical inference and how statistical inference is used in making and evaluating predictions.211 questions · 19 materials · 76 cards · 4 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Applies knowledge of designing, conducting, analyzing and interpreting statistical experiments to investigate real-world problems.	M.Statistical Questions; M.Statistical Experiments; M.Sampling Methods	Covered	34	3	7	0	Covered by 3 topics (34 questions, 3 materials, 7 cards, 0 videos).
B. Analyzes and interprets statistical information (e.g., the results of polls and surveys) and recognizes misleading as well as valid uses of statistics.	M.Surveys	Covered	10	1	3	0	Covered by 1 topic (10 questions, 1 materials, 3 cards, 0 videos).
C. Understands random samples and sample statistics (e.g., the relationship between sample size and confidence intervals, biased or unbiased estimators).	M.Level of Confidence; M.Observations, Conclusions, and Relationships	Covered	26	2	13	0	Covered by 2 topics (26 questions, 2 materials, 13 cards, 0 videos).
D. Makes inferences about a population using binomial, normal and geometric distributions.	M.Using Distributions	Covered	13	1	4	0	Covered by 1 topic (13 questions, 1 materials, 4 cards, 0 videos).
E. Describes and analyzes bivariate data using various techniques (e.g., scatterplots, regression lines, outliers, residual analysis, correlation coefficients).	M.Bivariate Data Analysis; M.Advanced Bivariate Data Analysis; M.Calculating Linear Regression	Covered	35	3	15	1	Covered by 3 topics (35 questions, 3 materials, 15 cards, 1 videos).
F. Understands how to transform nonlinear data into linear form to apply linear regression techniques to develop exponential, logarithmic and power regression models	M.Linear Regression with Non-Linear Data	Partially covered	3	1	4	0	Partial coverage by 1 topic (3 questions, 1 materials, 4 cards, 0 videos); limited supporting content.
G. Uses the law of large numbers and the central limit theorem in the process of statistical inference.	M.Central Limit Theorem and Large Numbers	Partially covered	2	1	2	0	Partial coverage by 1 topic (2 questions, 1 materials, 2 cards, 0 videos); limited supporting content.
H. Estimates parameters (e.g., population mean and variance) using point estimators (e.g., sample mean and variance).	M.Advanced Measures of Center and Range	Covered	19	1	9	0	Covered by 1 topic (19 questions, 1 materials, 9 cards, 0 videos).
I. Understands principles of hypotheses testing.	M.Hypothesis Testing	Partially covered	3	1	5	0	Partial coverage by 1 topic (3 questions, 1 materials, 5 cards, 0 videos); limited supporting content.
J. Determines the number of ways an event may occur using combinations, permutations and the fundamental counting principle.	M.Fundamental Counting Principle	Covered	10	1	1	1	Covered by 1 topic (10 questions, 1 materials, 1 cards, 1 videos).
K. Compares theoretical to empirical probability.	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.
L. Uses experiments to determine the reasonableness of a theoretical model (i.e., binomial, geometric).	M.Binomial Expansion	Partially covered	6	1	4	0	Partial coverage by 1 topic (6 questions, 1 materials, 4 cards, 0 videos); limited supporting content.
M. Identifies limitations and lack of relevant information in studies reporting statistical information, especially when studies are reported in condensed form.	M.Observations, Conclusions, and Relationships	Covered	11	1	10	0	Covered by 1 topic (11 questions, 1 materials, 10 cards, 0 videos).
N. Interprets and compares statistical results using appropriate technology given a margin of error.	M.Data Analysis and Interpretation	Covered	28	1	2	1	Covered by 1 topic (28 questions, 1 materials, 2 cards, 1 videos).
O. Identifies the variables to be used in a study.	M.Statistical Experiments	Covered	11	1	1	0	Covered by 1 topic (11 questions, 1 materials, 1 cards, 0 videos).
P. Analyzes possible sources of data variability, including those that can be controlled and those that cannot be controlled.	M.Data Analysis and Interpretation	Covered	28	1	2	1	Covered by 1 topic (28 questions, 1 materials, 2 cards, 1 videos).
Q. Reports results of statistical studies to a particular audience by selecting an appropriate presentation format, creating graphical data displays and interpreting results in terms of the question studied.	M.Choosing a Graph or Plot	Covered	15	1	9	1	Covered by 1 topic (15 questions, 1 materials, 9 cards, 1 videos).

Mathematical Processes and Perspectives (Domain V)Partially covered

SMR V.018 · The teacher understands mathematical reasoning and problem solving.161 questions · 20 materials · 34 cards · 1 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands the nature of proof, including indirect proof, in mathematics.	M.Proofs; M.Indirect Proofs; M.Prove Theorems - Lines and Angles; M.Prove Theorems - Parallelograms; M.Prove Properties - Quadrilateral Inscribed in a Circle; M.Prove Theorems - Similar Shapes; M.Counterexamples	Covered	59	7	23	0	Covered by 7 topics (59 questions, 7 materials, 23 cards, 0 videos).
B. Applies correct mathematical reasoning to derive valid conclusions from a set of premises.	M.Conclusions from Premises; M.Formal Conclusions from Premises	Covered	16	2	0	0	Covered by 2 topics (16 questions, 2 materials, 0 cards, 0 videos).
C. Uses inductive reasoning to make conjectures and uses deductive methods to evaluate the validity of conjectures.	M.Inductive vs Deductive Reasoning; M.Advanced Abstract and Quantitative Reasoning; M.Evaluating Truth of Statements	Covered	20	3	8	0	Covered by 3 topics (20 questions, 3 materials, 8 cards, 0 videos).
D. Uses formal and informal reasoning to justify mathematical ideas.	M.Formal vs Informal Reasoning; M.Formal Reasoning Rules	Covered	6	2	3	1	Covered by 2 topics (6 questions, 2 materials, 3 cards, 1 videos).
E. Understands the problem-solving process (i.e., recognizing that a mathematical problem can be solved in a variety of ways, selecting an appropriate strategy, evaluating the reasonableness of a solution).	M.Selecting Appropriate Solution Strategies; M.Selecting Appropriate Solution Strategies - Look for a Pattern; M.Prioritizing Relevant and Missing Information; M.Using Structure to Analyze Complex Problems	Covered	34	4	1	0	Covered by 4 topics (34 questions, 4 materials, 1 cards, 0 videos).
F. Evaluates how well a mathematical model represents a real-world situation.	M.Modeling and Evaluating Real-World Situations; M.Spatial Reasoning	Covered	28	2	1	0	Covered by 2 topics (28 questions, 2 materials, 1 cards, 0 videos).

SMR V.019 · The teacher understands mathematical connections both within and outside of mathematics and how to communicate mathematical ideas and concepts.56 questions · 9 materials · 38 cards · 1 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Recognizes and uses multiple representations of a mathematical concept (e.g., a point and its coordinates, the area of a circle as a quadratic function of the radius, probability as the ratio of two areas, area of a plane region as a definite integral).	M.Multiple Interpretations of Math Concepts; M.Variety of Representations for Older Children	Covered	5	1	9	0	Covered by 2 topics (5 questions, 1 materials, 9 cards, 0 videos).
B. Understands how mathematics is used to model and solve problems in other disciplines (e.g., art, music, science, social science, business).	M.Interdisciplinary Connections; M.Financial Literacy	Covered	14	2	9	0	Covered by 2 topics (14 questions, 2 materials, 9 cards, 0 videos).
C. Translates mathematical ideas between verbal and symbolic forms.	M.Symbolic to Verbal	Covered	10	1	5	1	Covered by 1 topic (10 questions, 1 materials, 5 cards, 1 videos).
D. Communicates mathematical ideas using a variety of representations (e.g., numeric, verbal, graphical, pictorial, symbolic, concrete).	M.Alternate Representations of Problems	Partially covered	5	1	0	0	Partial coverage by 1 topic (5 questions, 1 materials, 0 cards, 0 videos); limited supporting content.
E. Understands the use of visual media, such as graphs, tables, diagrams and animations, to communicate mathematical information.	M.Variety of Representations for Older Children	Covered	3	1	9	0	Covered by 1 topic (3 questions, 1 materials, 9 cards, 0 videos).
F. Uses appropriate mathematical terminology to express mathematical ideas.	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.
G. Explores and applies concepts of financial literacy as it relates to teaching students (e.g., describes the basic purpose of financial institutions, distinguishes the difference between gross income and net income, identifies various savings options, defines different types of taxes, identifies the advantages and disadvantages of different methods of payment).	BUS.Personal Finance	Covered	8	1	22	0	Covered by 1 topic (8 questions, 1 materials, 22 cards, 0 videos).
H. Applies mathematics to model and solve problems to manage financial resources effectively for lifetime financial security (e.g., distinguishes between fixed and variable expenses, calculates profit in a given situation, develops a system for keeping and using financial records, describes actions that might be taken to balance a budget when expenses exceed income, balances a simple budget).	BUS.Personal Finance	Covered	8	1	22	0	Covered by 1 topic (8 questions, 1 materials, 22 cards, 0 videos).
I. Analyzes various voting and selection processes to compare results in given situations, selects and applies an algorithm of interest to solve real-life problems (e.g., using recursion or iteration to calculate population growth or decline, fractals or compound interest; determining validity in recorded and transmitted data using checksums and hashing; evaluating sports rankings, weighted class rankings and search-engine rankings; solving problems involving scheduling or routing using vertex-edge graphs, critical paths, Euler paths or minimal spanning trees), and communicates to peers the application of the algorithm in precise mathematical and nontechnical language.	M.Recursion and Iteration	Partially covered	3	1	1	0	Partial coverage by 1 topic (3 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
J. Determines or analyzes an appropriate cyclical model for problem situations that can be modeled with periodic functions; determines or analyzes an appropriate piecewise model for problem situations; creates, represents and analyzes mathematical models for various types of income calculations to determine the best option for a given situation; creates, represents and analyzes mathematical models for expenditures, including those involving credit, to determine the best option for a given situation; creates, represents and analyzes mathematical models and appropriate representations, including formulas and amortization tables, for various types of loans and investments to determine the best option for a given situation.	M.Trigonometric Ratio Graphs - Real Word Problems	Partially covered	7	1	0	0	Partial coverage by 1 topic (7 questions, 1 materials, 0 cards, 0 videos); limited supporting content.

Mathematical Learning, Instruction and Assessment (Domain VI)Partially covered

SMR VI.020 · The teacher understands how children learn mathematics and plans, organizes and implements instruction using knowledge of students, subject matter and statewide curriculum (Texas Essential Knowledge and Skills [TEKS]).94 questions · 12 materials · 26 cards · 5 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Applies research-based theories of learning mathematics to plan appropriate instructional activities for all students.	M.Major Math Instructional Theories	Covered	5	1	5	1	Covered by 1 topic (5 questions, 1 materials, 5 cards, 1 videos).
B. Understands how students differ in their approaches to learning mathematics.	M.Planning for Group Experiences; M.Diversity and Engagement	Covered	15	2	4	2	Covered by 2 topics (15 questions, 2 materials, 4 cards, 2 videos).
C. Uses students’ prior mathematical knowledge to build conceptual links to new knowledge and plans instruction that builds on students’ strengths and addresses students’ needs.	M.Sequencing Lessons	Partially covered	6	1	3	0	Partial coverage by 1 topic (6 questions, 1 materials, 3 cards, 0 videos); limited supporting content.
D. Understands how learning may be enhanced through the use of manipulatives, technology and other tools (e.g., stop watches, rulers).	M.Manipulatives for Older Children	Partially covered	3	1	4	0	Partial coverage by 1 topic (3 questions, 1 materials, 4 cards, 0 videos); limited supporting content.
E. Understands how to provide instruction along a continuum from concrete to abstract.	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).
F. Understands a variety of instructional strategies and tasks that promote students’ abilities to do the mathematics described in the TEKS.	M.Planning from TEKS	Partially covered	6	1	1	0	Partial coverage by 1 topic (6 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
G. Understands how to create a learning environment that provides all students, including English-language learners, with opportunities to develop and improve mathematical skills and procedures.	M.Diversity and Engagement - ELL	Covered	8	1	1	1	Covered by 1 topic (8 questions, 1 materials, 1 cards, 1 videos).
H. Understands a variety of questioning strategies to encourage mathematical discourse and to help students analyze and evaluate their mathematical thinking.	M.Teaching Mathematical Reasoning for Older Children	Partially covered	4	1	0	0	Partial coverage by 1 topic (4 questions, 1 materials, 0 cards, 0 videos); limited supporting content.
I. Understands how to relate mathematics to students’ lives and to a variety of careers and professions.	M.Real-World Applications; M.Careers	Covered	21	2	0	0	Covered by 2 topics (21 questions, 2 materials, 0 cards, 0 videos).

SMR VI.021 · The teacher understands assessment and uses a variety of formal and informal assessment techniques to monitor and guide mathematics instruction and to evaluate student progress.93 questions · 6 materials · 20 cards · 4 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands the purpose, characteristics and uses of various assessments in mathematics, including formative and summative assessments.	M.Types of Assessment - Math	Covered	20	1	13	1	Covered by 1 topic (20 questions, 1 materials, 13 cards, 1 videos).
B. Understands how to select and develop assessments that are consistent with what is taught and how it is taught.	M.Authentic Assessment	Partially covered	6	1	1	0	Partial coverage by 1 topic (6 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
C. Understands how to develop a variety of assessments and scoring procedures consisting of worthwhile tasks that assess mathematical understanding, common misconceptions and error patterns.	M.Fair Assessment; M.Use Variety in Problem Structure; M.Evaluate Student Solutions	Covered	52	3	6	2	Covered by 3 topics (52 questions, 3 materials, 6 cards, 2 videos).
D. Understands the relationship between assessment and instruction and knows how to evaluate assessment results to design, monitor and modify instruction to improve mathematical learning for all students, including English-language learners.	M.Types of Assessment - Math; M.Using Assessment to Adjust Instruction	Covered	35	2	13	2	Covered by 2 topics (35 questions, 2 materials, 13 cards, 2 videos).

Scientific Inquiry and Processes (Domain VII)Partially covered

SMR VII.022 · The teacher understands how to select and manage learning activities to ensure the safety of all students and the correct use and care of organisms, natural resources, materials, equipment and technologies.121 questions · 14 materials · 85 cards · 2 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Uses current sources of information about laboratory safety, including safety regulations and guidelines for the use of science facilities.	S.Safety Rules	Covered	27	1	2	1	Covered by 1 topic (27 questions, 1 materials, 2 cards, 1 videos).
B. Recognizes potential safety hazards in the laboratory and in the field and knows how to apply procedures, including basic first aid, for responding to accidents.	S.Emergency Procedures; S.Safety Icons	Covered	10	2	1	0	Covered by 2 topics (10 questions, 2 materials, 1 cards, 0 videos).
C. Employs safe practices in planning, implementing and managing all instructional activities and designs and implements rules and procedures to maintain a safe learning environment.	S.Safety Rules	Covered	27	1	2	1	Covered by 1 topic (27 questions, 1 materials, 2 cards, 1 videos).
D. Understands procedures for selecting, maintaining and safely using chemicals, tools, technologies, materials, specimens and equipment, including procedures for the recycling, reuse and conservation of laboratory resources and for the safe handling and ethical treatment of organisms.	S.Safety Rules; S.Proper Handling - Chemicals; S.Microscopes; S.Choose Appropriate Equipment - Advanced; S.Proper Tool Use - High; S.Various Tools	Covered	52	6	58	1	Covered by 6 topics (52 questions, 6 materials, 58 cards, 1 videos).
E. Knows how to use appropriate equipment and technology (e.g., Internet, spread-sheet, calculator) for gathering, organizing, displaying and communicating data in a variety of ways (e.g., charts, tables, graphs, diagrams, maps, satellite images, written reports, oral presentations).	M.Choosing a Graph or Plot	Covered	15	1	9	1	Covered by 1 topic (15 questions, 1 materials, 9 cards, 1 videos).
F. Understands how to use a variety of tools, techniques and technology to gather, organize and analyze data; how to perform calculations; and how to apply appropriate methods of statistical measures and analyses.	S.Read Scientific Publication; S.Trend Analysis in Data	Covered	9	2	10	0	Covered by 2 topics (9 questions, 2 materials, 10 cards, 0 videos).
G. Knows how to apply techniques to calibrate measuring devices and understands concepts of precision, accuracy and error with regard to reading and recording numerical data from scientific instruments(e.g., significant figures).	S.Significant Figures; S.Error In Measurements	Covered	28	2	6	0	Covered by 2 topics (28 questions, 2 materials, 6 cards, 0 videos).
H. Uses the International System of Units (i.e., metric system) and performs unit conversions within and across measurement systems.	S.Celestial Distance	Partially covered	7	1	2	0	Partial coverage by 1 topic (7 questions, 1 materials, 2 cards, 0 videos); limited supporting content.

SMR VII.023 · The teacher understands the nature of science, the process of scientific inquiry and the unifying concepts that are common to all sciences.190 questions · 17 materials · 46 cards · 4 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands the nature of science, the relationship between science and technology, the predictive power of science and limitations to the scope of science (i.e., the types of questions that science can and cannot answer).	S.Nature of Science; S.Limits of Science	Covered	13	2	7	0	Covered by 2 topics (13 questions, 2 materials, 7 cards, 0 videos).
B. Knows the characteristics of various types of scientific investigations (e.g., descriptive studies, controlled experiments, comparative data analysis) and how and why scientists use different types of scientific investigations.	S.Experimental Investigations; S.Non-Experimental Investigations; S.Non-Experimental Investigations - Advanced; S.Variety of Methods Across Science; S.Scientific Method	Covered	60	4	16	2	Covered by 5 topics (60 questions, 4 materials, 16 cards, 2 videos).
C. Understands principles and procedures for designing and conducting a variety of scientific investigations — with emphasis on inquiry-based investigations — and how to communicate and defend scientific results.	S.Experimental Investigations	Covered	25	1	7	1	Covered by 1 topic (25 questions, 1 materials, 7 cards, 1 videos).
D. Understands how logical reasoning, verifiable observational and experimental evidence and peer review are used in the process of generating and evaluating scientific knowledge.	S.Repeatability	Covered	13	1	1	0	Covered by 1 topic (13 questions, 1 materials, 1 cards, 0 videos).
E. Understands how to identify potential sources of error in an investigation, evaluate the validity of scientific data and develop and analyze different explanations for a given scientific result.	S.Error In Measurements; S.Proper Data Analysis	Covered	20	2	4	0	Covered by 2 topics (20 questions, 2 materials, 4 cards, 0 videos).
F. Knows the characteristics and general features of systems; how properties and patterns of systems can be described in terms of space, time, energy and matter; and how system components and different systems interact.	S.Properties of Systems; S.Change In Systems	Covered	27	2	10	0	Covered by 2 topics (27 questions, 2 materials, 10 cards, 0 videos).
G. Knows how to apply and analyze the systems model (e.g., interacting parts, boundaries, input, output, feedback, subsystems) across the science disciplines.	S.Systems Model	Covered	12	1	7	1	Covered by 1 topic (12 questions, 1 materials, 7 cards, 1 videos).
H. Understands how shared themes and concepts (e.g., systems, order and organization; evidence, models and explanation; change, constancy and measurements; evolution and equilibrium; and form and function) provide a unifying framework in science.	S.Form and Function; S.Change, Constancy, and Measurements; S.Evidence, Models, and Explanation	Covered	35	3	5	0	Covered by 3 topics (35 questions, 3 materials, 5 cards, 0 videos).
I. Understands the difference between a theory and a hypothesis, how models are used to represent the natural world and how to evaluate the strengths and limitations of a variety of scientific models (e.g., physical, conceptual, mathematical).	S.Prediction, Explanation, Theory, Fact; S.Observation vs Inference	Covered	10	2	8	1	Covered by 2 topics (10 questions, 2 materials, 8 cards, 1 videos).

SMR VII.024 · The teacher understands the history of science, how science impacts the daily lives of students and how science interacts with and influences personal and societal decisions.131 questions · 14 materials · 82 cards · 1 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands the historical development of science, key events in the history of science and the contributions that diverse cultures and individuals of both genders have made to scientific knowledge.	S.Key History of Science; S.Diversity in Science History	Covered	22	2	60	0	Covered by 2 topics (22 questions, 2 materials, 60 cards, 0 videos).
B. Knows how to use examples from the history of science to demonstrate the changing nature of scientific theories and knowledge (i.e., that scientific theories and knowledge are always subject to revision in light of new evidence).	S.Famous Experiments	Partially covered	5	1	0	0	Partial coverage by 1 topic (5 questions, 1 materials, 0 cards, 0 videos); limited supporting content.
C. Knows that science is a human endeavor influenced by societal, cultural and personal views of the world, and knows that decisions about the use and direction of science are based on factors such as ethical standards, economics and personal and societal biases and needs.	S.Ethics	Covered	10	1	0	0	Covered by 1 topic (10 questions, 1 materials, 0 cards, 0 videos).
D. Understands the application of scientific ethics to the conducting, analyzing and publishing of scientific investigations.	S.Ethics and Publishing	Partially covered	0	1	1	0	Partial coverage by 1 topic (0 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
E. Applies scientific principles to analyze factors (e.g., diet, exercise, personal behavior) that influence personal and societal choices concerning fitness and health (e.g., physiological and psycho-logical effects and risks associated with the use of substances and substance abuse).	S.Healthy and Unhealthy Lifestyles	Covered	16	1	0	0	Covered by 1 topic (16 questions, 1 materials, 0 cards, 0 videos).
F. Applies scientific principles, the theory of probability and risk/benefit analysis to analyze the advantages of, disadvantages of or alternatives to a given decision or course of action.	S.Decision Making	Covered	10	1	1	0	Covered by 1 topic (10 questions, 1 materials, 1 cards, 0 videos).
G. Understands the role science can play in helping resolve personal, societal and global issues (e.g., recycling, population growth, disease prevention, resource use, evaluating product claims).	S.Ethics and Regulation; S.Renewable vs Nonrenewable; S.Green Energy Technology; S.Human Influences on Climate; S.Global Warming; S.Ozone Depletion; S.Human Impact on Ecosystems	Covered	68	7	20	1	Covered by 7 topics (68 questions, 7 materials, 20 cards, 1 videos).

Physics (Domain VIII)Partially covered

SMR VIII.025 · The teacher understands the description of motion in one and two dimensions.70 questions · 9 materials · 21 cards · 2 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Generates, analyzes and interprets graphs describing the motion of a particle.	S.Motion Terms; S.Motion Graphs	Covered	38	2	11	2	Covered by 2 topics (38 questions, 2 materials, 11 cards, 2 videos).
B. Applies vector concepts to displacement, velocity and acceleration in order to analyze and describe the motion of a particle.	S.Linear Motion Calculations; S.Projectile Motion	Covered	14	2	3	0	Covered by 2 topics (14 questions, 2 materials, 3 cards, 0 videos).
C. Solves problems involving uniform and accelerated motion using scalar (e.g., speed) and vector (e.g., velocity) quantities.	S.Linear Motion Calculations; S.Centripetal Force	Covered	13	2	2	0	Covered by 2 topics (13 questions, 2 materials, 2 cards, 0 videos).
D. Analyzes and solves problems involving projectile motion.	S.Projectile Motion	Covered	8	1	3	0	Covered by 1 topic (8 questions, 1 materials, 3 cards, 0 videos).
E. Analyzes and solves problems involving uniform circular and rotary motion.	S.Circular and Rotary Motion; S.Kepler's Laws of Orbit	Partially covered	6	2	0	0	Partial coverage by 2 topics (6 questions, 2 materials, 0 cards, 0 videos); limited supporting content.
F. Understands motion of fluids.	S.Fluids - Motion Laws	Partially covered	2	1	5	0	Partial coverage by 1 topic (2 questions, 1 materials, 5 cards, 0 videos); limited supporting content.
G. Understands motion in terms of frames of reference and relativity concepts.	S.Special Relativity	Partially covered	3	1	0	0	Partial coverage by 1 topic (3 questions, 1 materials, 0 cards, 0 videos); limited supporting content.

SMR VIII.026 · The teacher understands the laws of motion.38 questions · 9 materials · 12 cards · 0 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Identifies and analyzes the forces acting in a given situation and constructs a free-body diagram.	S.Newton's First Law; S.Newton's Second Law; S.Newton's Third Law; S.Periodic Motion	Covered	17	4	11	Covered by 4 topics (17 questions, 4 materials, 11 cards, 0 videos).
B. Solves problems involving the vector nature of force (e.g., resolving forces into components, analyzing static or dynamic equilibrium of a particle).	S.Torque; S.Force Vectors and Diagrams - Solving	Covered	8	2	1	Covered by 2 topics (8 questions, 2 materials, 1 cards, 0 videos).
C. Identifies and applies Newton’s laws to analyze and solve a variety of practical problems (e.g., properties of frictional forces, acceleration of a particle on an inclined plane, displacement of a mass on a spring, forces on a pendulum).	S.Newton's First Law; S.Newton's Second Law; S.Newton's Third Law; S.Newton's Laws Applied - Friction; S.Newton's Laws Applied - Pendulums; S.Newton's Laws Applied - Springs	Covered	27	6	1	Covered by 6 topics (27 questions, 6 materials, 1 cards, 0 videos).

SMR VIII.027 · The teacher understands the concepts of gravitational and electromagnetic forces in nature.103 questions · 14 materials · 28 cards · 0 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Applies the law of universal gravitation to solve a variety of problems (e.g., determining the gravitational fields of the planets, analyzing properties of satellite orbits).	S.Gravity; S.Gravity Advanced; S.Gravity Applied	Covered	27	3	6	Covered by 3 topics (27 questions, 3 materials, 6 cards, 0 videos).
B. Calculates electrostatic forces, fields and potentials.	S.Electrostatic Forces; S.Electrostatic Fields & Potentials	Covered	12	2	2	Covered by 2 topics (12 questions, 2 materials, 2 cards, 0 videos).
C. Understands the properties of magnetic materials and the molecular theory of magnetism.	S.Magnetic Materials; S.Magnetism Types; S.Magnetic Forces and Fields	Covered	22	3	10	Covered by 3 topics (22 questions, 3 materials, 10 cards, 0 videos).
D. Identifies the source of the magnetic field and calculates the magnetic field for various simple current distributions.	S.Calculating Magnetic Field from Current	Partially covered	2	1	1	Partial coverage by 1 topic (2 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
E. Analyzes the magnetic force on charged particles and current-carrying conductors.	S.Calculating Magnetic Force on Charges	Partially covered	2	1	0	Partial coverage by 1 topic (2 questions, 1 materials, 0 cards, 0 videos); limited supporting content.
F. Understands induced electric and magnetic fields and analyzes the relationship between electricity and magnetism.	S.Electricity and Magnetism; S.Electromagnetic Induction	Covered	27	2	13	Covered by 2 topics (27 questions, 2 materials, 13 cards, 0 videos).
G. Understands the electromagnetic spectrum and the production of electromagnetic waves.	S.Electromagnetic Spectrum; S.Electromagnetic Waves	Covered	11	2	2	Covered by 2 topics (11 questions, 2 materials, 2 cards, 0 videos).

SMR VIII.028 · The teacher understands applications of electricity and magnetism.65 questions · 11 materials · 36 cards · 0 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Analyzes common examples of electrostatics (e.g., a charged balloon attached to a wall, behavior of an electroscope, charging by induction).	S.Electrostatic Examples	Partially covered	2	1	3	Partial coverage by 1 topic (2 questions, 1 materials, 3 cards, 0 videos); limited supporting content.
B. Understands electric current, resistance and resistivity, potential difference, capacitance and electromotive force in conductors and circuits.	S.Circuits; S.Resistance and Resistivity; S.Capacitance; S.EMF; S.Ohms law	Covered	28	5	16	Covered by 5 topics (28 questions, 5 materials, 16 cards, 0 videos).
C. Analyzes series and parallel DC circuits in terms of current, resistance, voltage and power.	S.Series and Parallel	Covered	12	1	0	Covered by 1 topic (12 questions, 1 materials, 0 cards, 0 videos).
D. Identifies basic components and characteristics of AC circuits.	S.Currents - DC vs AC	Partially covered	6	1	3	Partial coverage by 1 topic (6 questions, 1 materials, 3 cards, 0 videos); limited supporting content.
E. Understands the operation of an electromagnet.	S.Electromagnets	Covered	8	1	6	Covered by 1 topic (8 questions, 1 materials, 6 cards, 0 videos).
F. Understands the operation of electric meters, motors, generators and transformers.	S.Types of Voltage Sources; S.Transformers	Covered	9	2	10	Covered by 2 topics (9 questions, 2 materials, 10 cards, 0 videos).

SMR VIII.029 · The teacher understands the conservation of energy and momentum.30 questions · 3 materials · 10 cards · 0 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Understands the concept of work.	S.Work, Energy, Power - Calculations	Covered	8	1	4	Covered by 1 topic (8 questions, 1 materials, 4 cards, 0 videos).
B. Understands the relationships among work, energy and power.	S.Work, Energy, Power - Calculations	Covered	8	1	4	Covered by 1 topic (8 questions, 1 materials, 4 cards, 0 videos).
C. Solves problems using the conservation of mechanical energy in a physical system (e.g., determining potential energy for conservative forces, conversion of potential to kinetic energy, analyzing the motion of a pendulum).	S.Conservation of Energy Calculations	Covered	8	1	1	Covered by 1 topic (8 questions, 1 materials, 1 cards, 0 videos).
D. Applies the work-energy theorem to analyze and solve a variety of practical problems (e.g., finding the speed of an object given its potential energy, determining the work done by frictional forces on a decelerating car).	S.Work-energy Theorem	Partially covered	0	0	0	Partial coverage by 1 topic (0 questions, 0 materials, 0 cards, 0 videos); limited supporting content.
E. Understands linear and angular momentum.	S.Momentum	Covered	14	1	5	Covered by 1 topic (14 questions, 1 materials, 5 cards, 0 videos).
F. Solves a variety of problems (e.g., collisions) using the conservation of linear and angular momentum.	S.Momentum	Covered	14	1	5	Covered by 1 topic (14 questions, 1 materials, 5 cards, 0 videos).

SMR VIII.030 · The teacher understands the laws of thermodynamics.91 questions · 9 materials · 31 cards · 2 videosCovered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands methods of heat transfer (i.e., convection, conduction, radiation).	S.Conduction, Convection, and Radiation	Covered	17	1	4	1	Covered by 1 topic (17 questions, 1 materials, 4 cards, 1 videos).
B. Understands the molecular interpretation of temperature and heat.	S.Types of Energy; S.Heat vs Temperature; S.Kinetic Molecular Theory of Matter; S.Kinetic Molecular Theory of Matter - Arrhenius	Covered	48	4	13	1	Covered by 4 topics (48 questions, 4 materials, 13 cards, 1 videos).
C. Solves problems involving thermal expansion, heat capacity and the relationship between heat and other forms of energy.	S.Thermal Expansion; S.Applications of Conservation of Energy	Covered	12	2	12	0	Covered by 2 topics (12 questions, 2 materials, 12 cards, 0 videos).
D. Applies the first law of thermodynamics to analyze energy transformations in a variety of everyday situations (e.g., electric light bulb, power-generating plant).	S.Laws of Thermodynamics	Covered	8	1	9	0	Covered by 1 topic (8 questions, 1 materials, 9 cards, 0 videos).
E. Understands the concept of entropy and its relationship to the second law of thermodynamics.	S.Laws of Thermodynamics; S.Entropy	Covered	14	2	9	0	Covered by 2 topics (14 questions, 2 materials, 9 cards, 0 videos).

SMR VIII.031 · The teacher understands the characteristics and behavior of waves.122 questions · 12 materials · 71 cards · 1 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Understands interrelationships among wave characteristics such as velocity, frequency, wavelength and amplitude and relates them to properties of sound and light (e.g., pitch, color).	S.Properties of Waves; S.Sound; S.Doppler Effect; S.Light	Covered	68	4	27	1	Covered by 4 topics (68 questions, 4 materials, 27 cards, 1 videos).
B. Compares and contrasts transverse and longitudinal waves.	S.Properties of Waves	Covered	18	1	13	1	Covered by 1 topic (18 questions, 1 materials, 13 cards, 1 videos).
C. Describes how various waves are propagated through different media.	S.Properties of Waves	Covered	18	1	13	1	Covered by 1 topic (18 questions, 1 materials, 13 cards, 1 videos).
D. Applies properties of reflection and refraction to analyze optical phenomena (e.g., mirrors, lenses, fiber-optic cable).	S.Applications of Waves - Optical Technologies	Partially covered	4	1	4	0	Partial coverage by 1 topic (4 questions, 1 materials, 4 cards, 0 videos); limited supporting content.
E. Applies principles of wave interference to analyze wave phenomena, including acoustical (e.g., harmonics) and optical phenomena (e.g., patterns created by thin films and diffraction gratings).	S.Resonance; S.Reflection and Refraction; S.Refraction Indexes; S.Mirrors; S.Interference, scattering, and polarization; S.Light Interference Patterns; S.Applications of Waves - Harmonics	Covered	50	7	40	0	Covered by 7 topics (50 questions, 7 materials, 40 cards, 0 videos).
F. Identifies and interprets how wave characteristics and behaviors are used in medical, industrial and other real-world applications.	S.Applications of Waves - Harmonics	Covered	7	1	7	0	Covered by 1 topic (7 questions, 1 materials, 7 cards, 0 videos).

SMR VIII.032 · The teacher understands the fundamental concepts of quantum physics.17 questions · 4 materials · 15 cards · 0 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Notes
A. Interprets wave-particle duality.	S.Dual Nature of Light	Covered	5	1	8	Covered by 1 topic (5 questions, 1 materials, 8 cards, 0 videos).
B. Identifies examples and consequences of the uncertainty principle.	S.Uncertainty Principle	Partially covered	4	1	2	Partial coverage by 1 topic (4 questions, 1 materials, 2 cards, 0 videos); limited supporting content.
C. Understands the photoelectric effect.	S.Dual Nature of Light	Covered	5	1	8	Covered by 1 topic (5 questions, 1 materials, 8 cards, 0 videos).
D. Uses the quantum model of the atom to describe and analyze absorption and emission spectra (e.g., line spectra, blackbody radiation).	S.Light Spectra	Partially covered	6	1	4	Partial coverage by 1 topic (6 questions, 1 materials, 4 cards, 0 videos); limited supporting content.
E. Explores real-world applications of quantum phenomena (e.g., lasers, photoelectric sensors, semiconductors, superconductivity).	S.Quantum Applications	Partially covered	2	1	3	Partial coverage by 1 topic (2 questions, 1 materials, 3 cards, 0 videos); limited supporting content.

Science Learning, Instruction and Assessment (Domain IX)Partially covered

SMR IX.033 · The teacher understands research-based theoretical and practical knowledge about teaching science, how students learn science and the role of scientific inquiry in science instruction.121 questions · 15 materials · 53 cards · 1 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Knows research-based theories about how students develop scientific understanding and how developmental characteristics, prior knowledge, experience and attitudes of students influence science learning.	S.Differentiation	Partially covered	6	1	3	0	Partial coverage by 1 topic (6 questions, 1 materials, 3 cards, 0 videos); limited supporting content.
B. Understands the importance of respecting student diversity by planning activities that are inclusive and selecting and adapting science curricula, content, instructional materials and activities to meet the interests, knowledge, understanding, abilities, possible career paths and experiences of all students, including English-language learners.	S.ELL; S.Diversity	Covered	9	2	1	0	Covered by 2 topics (9 questions, 2 materials, 1 cards, 0 videos).
C. Knows how to plan and implement strategies to encourage student self- motivation and engagement in their own learning (e.g., linking inquiry- based investigations to students’ prior knowledge, focusing inquiry-based instruction on issues relevant to students, developing instructional materials using situations from students’ daily lives, fostering collaboration among students).	S.Engagement	Covered	11	1	5	0	Covered by 1 topic (11 questions, 1 materials, 5 cards, 0 videos).
D. Knows how to use a variety of instructional strategies to ensure all students comprehend content-related texts, including how to locate, retrieve and retain information from a range of texts and technologies.	ELA.Cross-Curricular Applications - Academic Vocabulary (Science); ELA.Cross-Curricular Applications - Reading Comprehension (Science); S.Teaching Scientific Vocabulary	Covered	18	3	27	0	Covered by 3 topics (18 questions, 3 materials, 27 cards, 0 videos).
E. Understands the science teacher’s role in developing the total school program by planning and implementing science instruction that incorporates school-wide objectives and the statewide curriculum as defined in the Texas Essential Knowledge and Skills (TEKS).	S.Schoolwide Science TEKS	Partially covered	0	1	1	0	Partial coverage by 1 topic (0 questions, 1 materials, 1 cards, 0 videos); limited supporting content.
F. Knows how to design and manage the learning environment (e.g., individual, small-group, whole-class settings) to focus and support student inquiries and to provide the time, space and resources for all students to participate in field, laboratory, experimental and nonexperimental scientific investigation.	S.Active Learning; S.Inquiry; S.Prelab Teaching Activities; S.Technology for Real-World Applications	Covered	46	4	10	1	Covered by 4 topics (46 questions, 4 materials, 10 cards, 1 videos).
G. Understands the rationale for using active learning and inquiry methods in science instruction and how to model scientific attitudes such as curiosity, openness to new ideas and skepticism.	S.Active Learning; S.Inquiry	Covered	34	2	10	1	Covered by 2 topics (34 questions, 2 materials, 10 cards, 1 videos).
H. Knows principles and procedures for designing and conducting an inquiry-based scientific investigation (e.g., making observations; generating questions; researching and reviewing current knowledge in light of existing evidence; choosing tools to gather and analyze evidence; proposing answers, explanations and predictions; communicating and defending results).	S.Activities for Inquiry - Secondary	Covered	17	1	12	0	Covered by 1 topic (17 questions, 1 materials, 12 cards, 0 videos).
I. Knows how to assist students with generating, refining, focusing and testing scientific questions and hypotheses.	S.Activities for Inquiry - Secondary	Covered	17	1	12	0	Covered by 1 topic (17 questions, 1 materials, 12 cards, 0 videos).
J. Knows strategies for assisting students in learning to identify, refine and focus scientific ideas and questions guiding an inquiry-based scientific investigation; to develop, analyze and evaluate different explanations for a given scientific result; and to identify potential sources of error in an inquiry-based scientific investigation.	S.Activities for Inquiry - Secondary	Covered	17	1	12	0	Covered by 1 topic (17 questions, 1 materials, 12 cards, 0 videos).
K. Understands how to implement inquiry strategies designed to promote the use of higher-level thinking skills, logical reasoning and scientific problem solving in order to move students from concrete to more abstract understanding.	S.Activities for Inquiry - Secondary; S.Critical Thinking; S.Activities For Critical Thinking	Covered	31	3	13	0	Covered by 3 topics (31 questions, 3 materials, 13 cards, 0 videos).
L. Knows how to guide students in making systematic observations and measurements.	S.Activities for Inquiry - Secondary	Covered	17	1	12	0	Covered by 1 topic (17 questions, 1 materials, 12 cards, 0 videos).
M. Knows how to sequence learning activities in a way that uncovers common misconceptions, allows students to build upon their prior knowledge and challenges them to expand their understanding of science.	S.Activities for Inquiry - Secondary	Covered	17	1	12	0	Covered by 1 topic (17 questions, 1 materials, 12 cards, 0 videos).

SMR IX.034 · The teacher knows how to monitor and assess science learning in laboratory, field and classroom settings.70 questions · 4 materials · 18 cards · 3 videosPartially covered

Official competency	Matching 240 topics	Alignment	Qs	Mats	Cards	Vids	Notes
A. Knows how to use formal and informal assessments of student performance and products (e.g., projects, laboratory and field journals, rubrics, portfolios, student profiles, checklists) to evaluate student participation in and under-standing of inquiry-based scientific investigations.	S.Assessment and Instruction - Science; S.Variety of Assessment	Covered	42	1	8	1	Covered by 2 topics (42 questions, 1 materials, 8 cards, 1 videos).
B. Understands the relationship between assessment and instruction in the science curriculum (e.g., designing assessments to match learning objectives, using assessment results to inform instructional practice).	S.Assessment and Instruction - Science	Covered	42	1	6	1	Covered by 1 topic (42 questions, 1 materials, 6 cards, 1 videos).
C. Knows the importance of monitoring and assessing students’ understanding of science concepts and skills on an ongoing basis by using a variety of appropriate assessment methods (e.g., performance assessment, self-assessment, peer assessment, formal/informal assessment).	S.Assessment and Instruction - Science; S.Rubrics in Assessment	Covered	49	2	8	1	Covered by 2 topics (49 questions, 2 materials, 8 cards, 1 videos).
D. Understands the purposes, characteristics and uses of various types of assessment in science, including formative and summative assessments, and the importance of limiting the use of an assessment to its intended purpose.	S.Assessment and Instruction - Science	Covered	42	1	6	1	Covered by 1 topic (42 questions, 1 materials, 6 cards, 1 videos).
E. Understands strategies for assessing students’ prior knowledge and misconceptions about science and how to use those assessments to develop effective ways to address the misconceptions.	S.Misconceptions	Covered	14	1	2	1	Covered by 1 topic (14 questions, 1 materials, 2 cards, 1 videos).
F. Understands characteristics of assessments, such as reliability, validity and the absence of bias, in order to evaluate assessment instruments and their results.	M.Fair Assessment	Covered	7	1	6	1	Covered by 1 topic (7 questions, 1 materials, 6 cards, 1 videos).
G. Understands the role of assessment as a learning experience for students and strategies for engaging students in meaningful self-assessment.	S.Assessment and Instruction - Science	Covered	42	1	6	1	Covered by 1 topic (42 questions, 1 materials, 6 cards, 1 videos).
H. Recognizes the importance of selecting assessment instruments and methods that provide all students with adequate opportunities to demonstrate their achievements.	S.Assessment and Instruction - Science	Covered	42	1	6	1	Covered by 1 topic (42 questions, 1 materials, 6 cards, 1 videos).
I. Recognizes the importance of clarifying teacher expectations by sharing evaluation criteria and assessment results with students.	S.Rubrics in Assessment	Partially covered	7	1	2	0	Partial coverage by 1 topic (7 questions, 1 materials, 2 cards, 0 videos); limited supporting content.

How 240 Creates The TExES Physics/Mathematics 7–12 (243) 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 TExES Physics/Mathematics 7–12.

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 TExES 243 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 TExES Physics/Mathematics 7–12 Study Guide

The questions teacher candidates ask us most often about the TExES Physics/Mathematics 7–12 study guide.

Is 240 a good study guide for TExES Physics/Mathematics 7–12?

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 TExES 243 exam?

This guide is 91% 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.

240's TExES Physics/Mathematics 7–12 Study Guide Is 91% Test-Aligned

TExES 243

Coverage by content domain

Honest about depth

Reviewed as exams change