Survey

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.

Mathematics