| Subject Area | Survey Key | ChangeCnt | CategorySortOrder | | Key | Select | Topic Statements |
| 2 | 1 | 2 | 70 | 70 | 388 | False | Perform operations fluently with positive and negative numbers, including decimals, ratios, percents, and fractions, and show reasoning to justify results |
| 2 | 1 | 2 | 70 | 70 | 389 | False | Demonstrate understanding of, and accurately apply, place value to round off numbers. |
| 2 | 1 | 2 | 70 | 70 | 390 | False | Use the properties of real (rational and irrational) numbers and demonstrate understanding of ordering and absolute value. |
| 2 | 1 | 2 | 70 | 70 | 391 | False | Perform operations and solve equations containing complex numbers. |
| 2 | 1 | 2 | 70 | 70 | 392 | False | Apply techniques to obtain a rational approximation or estimate of a quantity or number (including irrational numbers such as radicals). |
| 2 | 1 | 1 | 70 | 70 | 393 | False | Perform operations with radicals, such as addition, subtraction, and multiplication. |
| 2 | 1 | 2 | 70 | 70 | 394 | False | Factor a composite number into its prime components and use least common denominators or least common multiples to solve equations. |
| 2 | 1 | 1 | 70 | 70 | 395 | False | Understand and apply the basic properties and laws of exponents and scientific notation to solve problems, including those with fractional, negative, and zero exponents. |
| 2 | 1 | 2 | 72 | 72 | 396 | False | Understand and apply basic algebraic properties (commutative and associative laws of addition and multiplication, distributive law of multiplication over addition, and identities and inverses). |
| 2 | 1 | 1 | 72 | 72 | 397 | False | Apply variables in expressions and equations to solve problems (i.e., write mathematical equations for given situation, create a mathematical model to understand the relationships between variables, or make connections between the structures of mathematically abstract concepts and the real world). |
| 2 | 1 | 1 | 72 | 72 | 398 | False | Simplify and solve algebraic equations by identifying and using the correct order of operations and techniques necessary to carry out the solution. |
| 2 | 1 | 5 | 72 | 72 | 399 | False | Find the solution of linear equations and inequalities where the variable appears on either or both sides and in which one or both sides must be simplified before solving the equation (e.g., solve x + 2(x - 3) = -4x + 5 for x). |
| 2 | 1 | 2 | 72 | 72 | 400 | False | Simplify polynomials by performing operations (addition, subtraction, multiplication, and division) to simplify expressions (e.g., (2a + 2) + (3a - 1) = 5a + 1. |
| 2 | 1 | 1 | 72 | 72 | 401 | False | Perform division of a polynomial by a monomial by dividing powers with like bases, using the rules for the division of powers with like bases to simplify fractions with monomial denominators and reducing fractions to lowest terms. |
| 2 | 1 | 2 | 72 | 72 | 402 | False | Solve linear inequalities and graph the solution set on a number line. |
| 2 | 1 | 2 | 72 | 72 | 403 | False | Solve quadratic equations by applying various tools or techniques. |
| 2 | 1 | 2 | 72 | 72 | 404 | False | Use proportional reasoning to solve real-world problems. |
| 2 | 1 | 1 | 72 | 72 | 405 | False | Know and apply the components and properties of the rectangular coordinate system: x–y axis, origin, quadrants, abscissa (x-coordinate) and ordinate (y-coordinate), and general representation of a point (x,y). |
| 2 | 1 | 1 | 72 | 72 | 406 | False | Solve systems of linear equations algebraically or graphically. |
| 2 | 1 | 1 | 72 | 72 | 407 | False | Find the graphic solution of systems of linear inequalities (i.e., graph the solution set or region of the coordinate plane common to both inequalities). |
| 2 | 1 | 1 | 72 | 72 | 408 | False | Solve and graphically sketch problems involving two variables that exhibit direct and indirect variation. |
| 2 | 1 | 2 | 72 | 72 | 409 | False | Know the equation of a line and interpret graphically using the slope-intercept form (y = mx+b) and the point-slope form (y-b = m(x-a)). |
| 2 | 1 | 1 | 72 | 72 | 410 | False | Know the equation for the slope of a line and compute slope given the coordinates of two points. |
| 2 | 1 | 2 | 72 | 72 | 411 | False | Know how to sketch basic conic sections (e.g., circles, parabolas) by using their equations and solve systems of non-linear equations graphically. |
| 2 | 1 | 2 | 72 | 72 | 412 | False | Understand the characteristics of maxima and minima and be able to determine maximum and minimum points mathematically on a graph or curve. |
| 2 | 1 | 2 | 74 | 74 | 414 | False | Understand and apply a systematic methodology or procedure (e.g., direct or indirect measurement, direct or indirect proof, inductive or deductive reasoning) to model and solve problems. |
| 2 | 1 | 2 | 74 | 74 | 415 | False | Analyze the truth value of compound sentences by creating truth tables. |
| 2 | 1 | 1 | 74 | 74 | 416 | False | Apply pattern recognition in data sets and series to reason or solve problems involving arithmetic, geometry, exponents, etc. |
| 2 | 1 | 1 | 76 | 76 | 417 | False | Understand the properties of and apply parallel, perpendicular, and intersecting lines in problem-solving situations. |
| 2 | 1 | 1 | 76 | 76 | 418 | False | Classify angles by measure (acute, right, obtuse, and straight) and understand angle relationships (supplementary, complementary, and vertical). |
| 2 | 1 | 1 | 76 | 76 | 419 | False | Understand the properties and applications of the undefined terms of geometry (point, line, and plane) and their relationship with intuitive concepts (i.e., collinear points, coplanar points, opposite rays, and parallel lines). |
| 2 | 1 | 1 | 76 | 76 | 420 | False | Compute the distance between two points on a coordinate plane (length of a line segment) and determine the midpoint of a line segment between two points. |
| 2 | 1 | 2 | 76 | 76 | 421 | False | Understand the properties of circles (radius, arc, diameter, chord, secant, and tangent) and apply circle quantities (lengths of line segments, angle measure within a circle, circumference, and area) in problem-solving situations. |
| 2 | 1 | 1 | 76 | 76 | 422 | False | Compute the perimeter and area of common two-dimensional figures. |
| 2 | 1 | 1 | 76 | 76 | 423 | False | Understand the properties and classification of polygons (triangles, the family of quadrilaterals, pentagon, hexagon, etc.) and apply knowledge of angle and side relationships of geometric shapes in problem-solving situations. |
| 2 | 1 | 2 | 76 | 76 | 424 | False | Apply the Pythagorean Theorem to right triangles. |
| 2 | 1 | 1 | 76 | 76 | 425 | False | Know the classification and properties of three-dimensional figures (prisms, rectangular solids, pyramids, right circular cylinders, cones, and spheres) and be able to compute the volume and surface area of common solids. |
| 2 | 1 | 1 | 76 | 76 | 426 | False | Use geometric methods, such as using an unmarked straightedge and compass, to complete basic geometric constructions. |
| 2 | 1 | 3 | 76 | 76 | 427 | False | Apply transformations (reflection, rotation, translation, and dilation) of 2-dimensional figures graphically to interpret, analyze, and illustrate the concepts of congruency, similarity, and symmetry. |
| 2 | 1 | 3 | 76 | 76 | 428 | False | Apply transformation concepts to examine two-dimensional aspects or representations of three-dimensional figures (e.g., isometries and nets). |
| 2 | 1 | 3 | 78 | 78 | 429 | False | Define and apply the properties of relations and functions (domain, range, function composition, and inverses) and use algebraic and graphic methods to determine if a relation is a function. |
| 2 | 1 | 1 | 78 | 78 | 431 | False | Express, graph, and interpret exponential and logarithmic functions. |
| 2 | 1 | 3 | 78 | 78 | 432 | False | Express a linear function (f(x) = mx + b) with the appropriate notation and determine the ordered pairs. |
| 2 | 1 | 2 | 78 | 78 | 433 | False | Apply step and piecewise functions, including greatest integer and absolute value functions. |
| 2 | 1 | 1 | 78 | 78 | 434 | False | Express, graph, and interpret polynomial functions (linear, quadratic, cubic, etc.). |
| 2 | 1 | 1 | 80 | 80 | 435 | False | Know and apply the six basic trigonometric functions and ratios and solve right triangles using basic trigonometric ratios (sine, cosine, tangent). |
| 2 | 1 | 3 | 80 | 80 | 436 | False | Understand the characteristics and uses of vectors (representations of velocity and force) and perform basic operations on vectors (e.g., vector addition and scalar multiplication). |
| 2 | 1 | 2 | 80 | 80 | 437 | False | Perform the general solution of triangles by using the Law of Sines and Law of Cosines to obtain the angle and side length measurements of any triangle. |
| 2 | 1 | 1 | 80 | 80 | 438 | False | Understand the trigonometric properties of the unit circle and sketch the graphs of basic circular functions (y = sin x, y = cos x, and y = tan x, where the measure of the angle x is expressed in radians). |
| 2 | 1 | 2 | 82 | 82 | 439 | False | Understand the concepts and apply the uses of matrices in modeling (i.e., finite graphs or structures that can be represented geometrically and interpreted algebraically in the form of a matrix). |
| 2 | 1 | 1 | 82 | 82 | 440 | False | Create or evaluate algorithms (e.g., computer program codes, flowcharts) designed to accomplish a specific task. |
| 2 | 1 | 1 | 82 | 82 | 441 | False | Understand the concepts of recurrence relations and apply them to solve consumer mathematics problems involving such things as percentage rates, personal loans, simple interest, compound interest, installment buying, mortgage rates, etc. |
| 2 | 1 | 2 | 82 | 82 | 442 | False | Evaluate and use finite sequence and series as systematic and useful means of quantifying things. |
| 2 | 1 | 2 | 84 | 84 | 444 | False | Use anti-derivatives and the process of integration to determine areas, volumes, and distances. |
| 2 | 1 | 2 | 84 | 84 | 445 | False | Use derivatives and the process of differentiation to determine slopes of tangent lines, maxima and minima, velocity, and acceleration. |
| 2 | 1 | 1 | 84 | 84 | 446 | False | Understand the concepts and apply the uses of functions and limits (i.e., conduct limiting processes using functions to investigate infinite series and sequences). |
| 2 | 1 | 2 | 86 | 86 | 447 | False | Examine problem-solving situations involving simple probability and use probabilistic reasoning to compare and communicate the theoretical or empirical likelihood of events. |
| 2 | 1 | 1 | 86 | 86 | 448 | False | Determine the probability of single and compound events and use the Counting Principle to determine the probability of independent events occurring jointly. |
| 2 | 1 | 1 | 86 | 86 | 449 | False | Determine combinations (the various groupings a set may be arranged in without regard to order) and permutations (arrangements of a set where order matters). |
| 2 | 1 | 1 | 86 | 86 | 450 | False | Evaluate and employ accurate and appropriate procedures for statistical data collection, organization, analysis, and display including making estimates and predictions, critiquing data, and drawing inferences (e.g., using the normal curve and z-scores, line of best fit). |
| 2 | 1 | 2 | 86 | 86 | 451 | False | Understand and apply measures of central tendency (mean, median, and mode, and representative sampling of a population). |
| 2 | 1 | 1 | 86 | 86 | 452 | False | Understand and apply measures of dispersion (range, mean deviation, variance, and standard deviation). |
| 2 | 1 | 1 | 86 | 86 | 453 | False | Understand and apply the concepts and applications of quartiles (distributing groups into four equal sizes), percentiles (distributing individuals into 100 groups of equal size), and random distribution to understand and interpret data. |
| 2 | 1 | 2 | 86 | 86 | 454 | False | Understand and apply the binomial theorem (e.g., explore the relationship of the binomial theorem with Pascal’s triangle and the Fibonacci sequence). |
| 2 | 1 | 2 | 86 | 86 | 455 | False | Apply summation notation to take the sum of an expression using limits (e.g., take the sum of 3i + 1 from i = 1 to 5). |
| 2 | 1 | 1 | 86 | 86 | 456 | False | Understand the importance of random sampling and sample size in generating representative data. |
| 2 | 1 | 1 | 86 | 86 | 457 | False | Interpret data to determine correlation and distinguish between correlation and cause and effect. |
| 2 | 1 | 1 | 88 | 88 | 458 | False | Solve problems using units of metric measure and convert between metric and English/customary units. |
| 2 | 1 | 1 | 88 | 88 | 459 | False | Use the technique of dimensional analysis to convert units of measure (e.g., kilometers/hour to meters/minute) and apply ratios in real-world situations (e.g., scale drawings). |
| 2 | 1 | 1 | 88 | 88 | 460 | False | Understand accuracy and precision of measurement, round off numbers according to the correct number of significant figures, and determine percent error. |