MA.PA.1.1: Identify situations represented by square roots and cube roots

MA.PA.1.2: Compare and order rational numbers and square roots

MA.PA.1.3: Use ratios and proportions to represent the relationship between two quantities

MA.PA.2.1: Apply the order of operations when calculating with rational numbers

MA.PA.2.2: Demonstrate the inverse relationship between square numbers and square roots, and cubes and cubed roots

MA.PA.4.1: Select and use appropriate units to measure the surface area and volume of solids

MA.PA.4.2: Express rates of change as a ratio of two different measures, where units are included in the ratio, and use the derived rate to solve problems

MA.PA.4.3: Use ratios and proportions to solve measurement problems

MA.PA.4.4: Use formulas to determine the surface area and volume of selected prisms, cylinders, and pyramids

MA.PA.4.5: Use the right triangle relationships (e.g., trigonometric ratios: cosine, sine, and tangent) to solve problems

MA.PA.5.1: Apply the Pythagorean theorem to solve problems involving right triangles

MA.PA.6.1: Perform a transformation (reflection, rotation, translation) when given a figure and necessary parameters

MA.PA.6.2: Describe the size, position, and orientation of shapes under transformations and compositions of transformations

MA.PA.6.3: Describe three-dimensional shapes that are formed by rotating two-dimensional figures about an axis

MA.PA.7.1: Use two-dimensional representations of pyramids, prisms, and cylinders to solve problems involving these figures

MA.PA.8.1: Use coordinate geometry to represent transformations in the coordinate plane

MA.PA.9.1: Represent a variety of patterns (including recursive patterns) with tables, graphs (including graphing technology when available), words, and when possible, symbolic rules

MA.PA.9.2: Use linear relationships with two variables to solve problems

MA.PA.9.3: Identify functions as linear or nonlinear and contrast their properties from tables, graphs (including graphing technology when available), or equations

MA.PA.10.1: Translate among tables, graphs (including graphing technology when available), and equations involving linear relationships

MA.PA.10.2: Solve linear equations and inequalities with two variables using algebraic methods, manipulatives, or models

MA.PA.10.3: Use tables and graphs to represent and compare linear relationships

MA.PA.10.4: Use the slope of a line to describe a constant rate of change

MA.PA.11.1: Design a study that compares two samples, collect data, and select the appropriate representation (double bar graph, back-to-back stem and leaf plot, parallel box and whisker plots, scatter plot) to compare the sets of data

MA.PA.12.1: Recognize situations appropriate for scatter plots

MA.PA.13.1: Make conjectures about possible relationships between two characteristics of a sample based on interpretations of scatter plots

MA.PA.14.1: Judge the validity of conjectures that are based on experiments or simulations

MA.PA.14.2: Calculate probabilities for simple events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement)

MA.PA.14.3: Use the Fundamental Counting Principle to calculate combinations and permutations

MA.AI.3.1: Apply arithmetic properties to operate on and simplify expressions that include radicals and other real numbers

MA.AI.3.2: Apply the laws of exponents to perform operations on expressions with integral exponents

MA.AI.8.1: Graph linear equations using slope-intercept, point-slope, and x- and y-intercept techniques

MA.AI.8.2: Determine the slope of a line when given the graph of a line, two points on the line, or the equation of the line

MA.AI.9.1: Determine if a linear pattern exists in a set of data and represent the data algebraically and graphically

MA.AI.9.2: Compare and contrast the concepts of direct and inverse variation of a relation

MA.AI.9.3: Determine the zeros of a linear or quadratic function algebraically and graphically

MA.AI.9.4: Compare and contrast the properties of linear functions and exponential functions

MA.AI.10.1: Solve linear equations and inequalities in one variable using a variety of strategies (e.g., algebraically, by graphing, by using a graphing calculator)

MA.AI.10.2: Translate between verbal mathematical situations and algebraic expressions and equations

MA.AI.10.4: Determine the equation of a line when given the graph of the line, the slope and a point on the line, or two points on the line

MA.AI.10.5: Solve systems of two linear equations in two variables algebraically and graphically

MA.AI.10.6: Factor first- and second-degree binomials and trinomials in one or two variables

MA.AI.10.7: Solve quadratic equations in one variable algebraically, graphically, or by using graphing technology

MA.AI.10.8: Select and use a variety of strategies (e.g., concrete objects, pictorial representations, algebraic manipulation) to perform operations on polynomials

MA.AI.10.9: Analyze transformations of lines and understand how the transformation are represented in equations

MA.AI.12.1: Compare data sets using statistical techniques (e.g., measures of central tendency, standard deviation, range, stem-and-leaf plots, and box-and-whisker graphs)

MA.AI.12.2: Display bivariate data in a scatter plot, describe its shape, and determine the line of best fit that models a trend (if a trend exists)

MA.AII.1.1: Use the complex number system, the notation for complex numbers, and the definition of “i” to solve problems

MA.AII.9.1: Apply the properties of arithmetic and geometric sequences and series to solve problems

MA.AII.9.2: Use exponential functions to solve problems involving exponential growth and decay

MA.AII.9.3: Use the properties of many types of functions (e.g., polynomial, step, absolute value, step, exponential, and logarithmic) to identify the function’s graph

MA.AII.9.4: Use the appropriate terminology and notation to define functions and their properties (e.g., domain, range, function composition, inverses, zeros)

MA.AII.9.5: Determine the zeros of a function algebraically or graphically

MA.AII.9.6: Describe the relationship among relations and functions

MA.AII.9.7: Determine the domain and range of a relation given a graph or a set of points

MA.AII.10.1: Solve equations and inequalities involving absolute values

MA.AII.10.2: Solve systems of linear equations and inequalities in two or three variables using a variety of strategies (e.g., substitution, graphing, matrices, technology)

MA.AII.10.4: Factor polynomials representing perfect squares, the difference in squares, perfect square trinomials, the sum and difference of cubes, and general trinomials

MA.AII.10.6: Solve quadratic equations in the complex number system

MA.AII.10.8: Add, subtract, multiply, divide, and simplify rational expressions, radical expressions containing positive rational numbers, and expressions containing rational exponents

MA.AII.10.9: Translate between the equations of conic sections (e.g., circle, ellipse, parabola, hyperbola) and their graphs

MA.AII.10.10: Analyze translations and dilations for graphs of absolute value functions, parabolas, and circles, and understand how the transformations are represented in equations

MA.AII.12.1: Identify trends in bivariate data and find functions that model the data

MA.AII.14.1: Use the fundamental counting principles for combinations and permutations to determine probability

MA.AII.14.2: Calculate probabilities of events under different relationships (e.g., inclusion, disjoint, complementary, independent, dependent, with replacement, without replacement)

MA.G.1.1: Recognize situations that can be represented by vectors

MA.G.3.1: Use vector addition, subtraction, and scalar multiplication to solve problems

MA.G.4.1: Use right triangle trigonometric ratios to solve for an unknown length of a side or the measure or an angle

MA.G.4.2: Solve problems using the formulas for perimeter, circumference, area, and volume of two- and three- dimensional figures and solids

MA.G.4.3: Determine the effect of dimension changes to perimeter, area, and volume for common geometric figures and solids

MA.G.5.1: Use inductive and deductive reasoning to create and defend geometric conjectures

MA.G.5.2: Use the concept of corresponding parts to prove that triangles, and other polygons, are congruent or similar

MA.G.5.3: Explain properties and characteristics of angle bisectors, perpendicular bisectors, and parallel lines

MA.G.5.4: Use the relationship between pairs of angles (e.g., complementary, supplementary, vertical, exterior, interior) to determine unknown angle measures or definitions of properties

MA.G.5.6: Use the relationships among properties of circles (e.g., chords, secants, tangents, arcs, circumference, radius, diameter, inscribed polygons) to solve problems

MA.G.6.1: Describe three-dimensional figures that are formed by translating two-dimensional figures

MA.G.8.1: Use coordinate geometry to produce formulas and prove theorems for the midpoint of a line segment, the distance formula, and forms of equations of lines and circles

MA.G.8.2: Describe the concept of rigid motion on figures in the coordinate plane, including rotation, translation, and reflection

MA.T.1.1: Express complex numbers in standard and polar form, and convert from one to another

MA.T.2.1: Add, subtract, multiply, divide, and find powers of complex numbers in polar form

MA.T.3.1: Use vector operations, the law of sines, and the law of cosines to solve problems

MA.T.5.1: Find the sine, cosine, tangent, cotangent, secant, and cosecant of an angle in standard position

MA.T.5.2: Use the relationship among the six trigonometric functions to translate among them (i.e., know that given one of the functions the value of the other five can be found)

MA.T.5.5: Find the value of any trigonometric function and inverse trigonometric function, and solve trigonometric equations

MA.T.5.6: Use the fundamental trigonometric identities, including the sum and difference formulas, double-angle formulas, and half-angle formulas to solve problems

MA.T.5.7: Verify trigonometric identities

MA.T.9.1: Use the trigonometric functions in the form y = ASin (Bx+C) + D to determine various properties of the function (e.g., domain, range, period, phase shift, amplitude)

MA.T.9.2: Identify real-world phenomena that can be represented by a trigonometric function in the form y = ASin(Bx + C) + D

MA.T.9.3: Explain the relationship between trigonometric functions and their inverse

MA.AG.2.1: Use the sum, difference, scalar multiplication, dot product, and cross product of vectors to solve problems

MA.AG.7.1: Recognize conic sections and describe their characteristics

MA.AG.8.2: Use the relationship between the slope of a line and the angle of inclination to solve problems

MA.AG.8.3: Use the polar coordinate system to graph

MA.AG.8.4: Use the relationship between polar and rectangular form to convert back and forth

MA.AG.9.1: Use the relationship among the properties of conic sections (e.g., asymptotes, center of a conic, directrix, eccentricity, focus, major and minor axis, vertex) and graph conic sections using the standard form of the equations

MA.AG.9.3: Use properties (e.g., symmetry, tangents at the origin, excluded values, intercepts) to graph polar equations

MA.AG.9.4: Use addition of ordinates to graph sums and differences of functions

MA.AG.10.1: Explain that a vector equation can represent a plane

MA.AG.10.6: Determine the intersection of curves algebraically and graphically, including using graphing technology when available

MA.P.14.1: Describe the relationship among events (e.g., inclusive, disjoint, complementary, independent, dependent)

MA.P.14.2: Calculate the probability of two events under union and intersection

MA.P.14.3: Differentiate between theoretical and experimental probability

MA.P.14.4: Explain the difference between probability and odds and convert from one to the other

MA.P.14.5: Calculate the probability of an outcome for an experiment with and without replacement

MA.P.14.6: Apply discrete random variables to solve for the probability of experimental outcomes

MA.P.14.8: Apply permutations, combinations, and the fundamental counting principle to calculate the probability of two events

MA.S.11.3: Select appropriate display for a data set (e.g., frequency table, histogram, line graph, bar graph, stem-and-leaf plot, box-and-whisker plot, scatter plot)

MA.S.11.5: Recognize sampling, randomness, bias, and sampling size in data collection and interpretation

MA.S.12.1: Use measures of central tendency and spread to interpret data

MA.S.12.2: Interpret data based on the correlation coefficient of two variables

MA.S.12.3: Describe the effect of sample size and transformation on the shape, center, and spread of data

MA.S.12.4: Use the line or curve of best fit to interpret data

MA.S.13.1: Recognize that some data can be represented algebraically (e.g., linear, quadratic, exponential, sinusoidal)

MA.C.9.6: Use Riemann sums, the trapezoidal rule, and technology to approximate definite integrals of functions represented algebraically, geometrically, or by tables of values

MA.C.9.7: Find specific antiderivatives using initial conditions, including finding velocity functions from acceleration functions, finding position functions from velocity functions, and applications to motion along a line

MA.C.10.2: Find limits of sums, differences, products, quotients, and rational functions

MA.C.10.10: Find average and instantaneous rates of change

Correlation last revised: 2/26/2010

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