Parents, these are the standards taught by Beyond Textbooks partner schools. This list is in alphanumeric order, and your school will likely teach them in a different order. For help deciphering the code in front of the standard, please click here.
Alg1.M.A.CED.A.01: The Highly Proficient student can create equations and inequalities in one variable and use them to solve problems. Include problemsolving opportunities utilizing realrealworld context. Focus on equations and inequalities that are linear, quadratic, or exponential.
Alg1.M.A.CED.A.02: The Highly Proficient student can compare and contrast equations and graphs that model linear and exponential relationships.
Alg1.M.A.REI.A.01: The Highly Proficient student can explain each step in solving linear and quadratic equations as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Alg1.M.A.REI.B.03: The Highly Proficient student can create, solve and graph linear equations and inequalities in one variable.
Alg1.M.A.S.ID.B.06a: The Highly Proficient student can compare the fit of linear functions to data and determine which function has the best fit.
Alg1.M.A.S.ID.C.08: The Highly Proficient student can calculate and interpret the correlation coefficient of a set of linear data and determine whether a correlation implies causation.
Alg1.M.A.SSE.A.01: The Highly Proficient student can explain the context of different parts of a formula presented as an expression.
Alg1.M.F.BF.A.01: The Highly Proficient student can write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process, or steps for calculation from realrealworld context. Focus on linear, absolute value, quadratic, exponential, and piecewisedefined functions (limited to the aforementioned functions).
Alg1.M.F.IF.A.02: The Highly Proficient student can apply and extend knowledge of domain and range to realworld contexts and situations. Additionally, they can create a function for a given context where the domain meets certain parameters.
Alg1.M.F.IF.A.03: The Highly Proficient Student can recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
Alg1.M.F.IF.B.04: The Highly Proficient student can create a story or context modeling key features of linear, quadratic, exponential, absolute value and step functions.
Alg1.M.F.IF.B.05: The Highly Proficient Student can relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
Alg1.M.F.IF.B.06: The Highly Proficient student can calculate and describe the rate of change of a graph or table given specific intervals.
Alg1.M.N.Q.A.01: The Highly Proficient student can use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays, include utilizing realrealworld context.
Alg1.M.N.Q.A.02: The Highly Proficient student can define appropriate quantities for the purpose of descriptive modeling. Include problemsolving opportunities utilizing realrealworld context.
Alg1.M.N.Q.A.03: The Highly Proficient student can choose a level of accuracy appropriate to limitations on measurement when reporting quantities utilizing realrealworld context.
Alg1.M.N.RN.B.03: The Highly Proficient student can explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
Alg1.M.S.ID.B.05: The Highly Proficient student can summarize categorical data for two categories in twoway frequency tables. Interpret relative frequencies in the context of the data, including joint, marginal, and conditional relative frequencies. Recognize possible associations and trends in the data.
Alg1.M.S.ID.B.06b: The Highly Proficient student can represent data on two quantitative variables on a scatter plot, and describe how the variables are related. b. Informally assess the fit of a function by plotting and analyzing residuals.
Alg1.M.S.ID.C.07: The Highly Proficient student can interpret the slope as a rate of change and the constant term of a linear model in the context of the data.
Alg1.M.S.ID.C.09: The Highly Proficient student can distinguish between correlation and causation.
Alg1.M.A.APR.A.01: The Highly Proficient student can use addition, subtraction, and multiplication to create equivalent polynomial expressions.
Alg1.M.A.CED.A.03: The Highly Proficient student can represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
Alg1.M.A.CED.A.04: The Highly Proficient student can rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
Alg1.M.A.REI.C.05: The Highly Proficient student can prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
Alg1.M.A.REI.C.06: The Highly Proficient student can analyze a system of equations and choose a method to solve exactly or approximately given a realworld situation.
Alg1.M.A.REI.D.10: The Highly Proficient student can understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve, which could be a line.
Alg1.M.A.REI.D.11: The Highly Proficient student can explain why the xcoordinates of the points where the graphs of the equations y=f(x) and y=g(x) intersect are the solutions of the equation f(x) =g(x); find the solutions approximately (e.g., using technology to graph the functions, make tables of values, or find successive approximations).Focus on cases where f(x) and/or g(x) are linear, absolute value, quadratic, and exponential functions.
Alg1.M.A.REI.D.12: The Highly Proficient student can create and graph a system of inequalities in two variables and find the solution set.
Alg1.M.A.SSE.A.02: The Highly Proficient student can use structure to identify ways to rewrite numerical and polynomial expressions. Focus on polynomial multiplication and factoring patterns.
Alg1.M.F.BF.A.02: The Highly Proficient student can write recursive and explicit formulas for arithmetic and geometric sequences.
Alg1.M.F.BF.B.03: The Highly Proficient student can identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), and f(x+k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph. Focus on linear, absolute value, quadratic, exponential and piecewisedefined functions (limited to the aforementioned functions).
Alg1.M.F.IF.C.07a: The Highly Proficient student can graph and compare linear functions.
Alg1.M.F.LE.A.01: The Highly Proficient student can describe the rate of change of a function and can prove that over equal intervals, linear functions grow by equal differences and exponential functions grow by equal factors.
Alg1.M.F.LE.A.02: The Highly Proficient student can create both linear and exponential functions from graphs, patterns, tables, and descriptions of relationships.
Alg1.M.F.LE.A.03: The Highly Proficient student can observe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.
Alg1.M.F.LE.B.05: The Highly Proficient student can interpret the parameters in a linear or exponential functions utilizing realworld context.
Alg1.M.A.APR.B.03: The Highly Proficient student can identify the zeros of a quadratic function and use the zeros to construct the graph of the function.
Alg1.M.A.REI.B.04ab: The Highly Proficient student can determine and use the most efficient method for solving quadratic equations and justify their choice. The Highly Proficient student can recognize when a quadratic equation has no real solutions.
Alg1.M.A.S.ID.A.01: The Highly Proficient student can represent data with the most appropriate data plot for the given set of data. The Highly Proficient student can determine and justify the most appropriate type of data plot for a set of data.
Alg1.M.A.S.ID.A.02: The Highly Proficient student can plot multiple data sets and compare and discuss the data plots using measures of center and spread for the data. Additionally, they can explore and manipulate additional data sets and justify which measures are most appropriate for comparison. They will be able to identify advantages and disadvantages of using each type of measure of center and spread.
Alg1.M.A.SSE.B.03: The Highly Proficient student can choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. a. Factor a quadratic expression to reveal the zeros of the function it defines. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
Alg1.M.F.IF.C.07b: The Highly Proficient student can graph and compare linear, quadratic, piecewise, exponential, step, and absolute value functions in various forms.
Alg1.M.F.IF.C.08: The Highly Proficient student can write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Alg1.M.F.IF.C.09: The Highly Proficient student can construct linear, quadratic, piecewise, step, absolute value and exponential functions over integer domains given certain function characteristics or given values greater than or lesser than a given function.
Alg1.M.S.CP.A.01: The Highly Proficient student can describe events as subsets of a sample space using characteristics of the outcomes, or as unions, intersections, or complements of other events.
Alg1.M.S.CP.A.02: The Highly Proficient student can use the Multiplication Rule for independent events to understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
Alg1.M.A.SSE.B.04: The Highly Proficient student can derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.
Alg1.M.S.ID.A.03: The Highly Proficient student can interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of outliers if present.
Alg1.M.F.IF.A.01: The Highly Proficient student can apply and extend knowledge of domain and range to realworld situations and contexts.
Geo.M.G.CO.A.01: The Highly Proficient student can explain the definition of an angle, circle, perpendicular lines, parallel lines and identify realworld examples of each figure.
Geo.M.G.CO.A.02: The Highly Proficient student can represent and describe transformations in the plane as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.
Geo.M.G.CO.A.03: Given a rectangle, parallelogram, trapezoid, or regular polygons, the Highly Proficient student can describe the rotations and reflections that carry it onto itself.
Geo.M.G.CO.A.04: The Highly Proficient student can represent functions to describe transformations using a variety of media and justify statements about rotations, reflections, and translations on the coordinate plane.
Geo.M.G.CO.A.05: The Highly Proficient student can perform 2 or more transformations on a figure, identify the single or series of transformations that map a preimage to an image, and explain how the order of a sequence of transformations being performed may result in different outcomes.
Geo.M.G.CO.C.09: The Highly Proficient student can prove theorems such as: alternate interior angles are congruent; vertical angles are congruent; consecutive interior angles are supplementary and apply theorems in realworld context.
Geo.M.G.CO.D.12: The Highly Proficient student can construct various geometric objects using a variety of tools and methods.
Geo.M.G.CO.D.13: The Highly Proficient student can construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle; with a variety of tools and methods.
Geo.M.G.GPE.B.05: The Highly Proficient student can create the equation of a line parallel or perpendicular to a given line that passes through a given point in a context.
Geo.M.G.GPE.B.07: The Highly Proficient student can use coordinates to find the perimeter of polygons and area of triangles and rectangles, and apply them to realworld problems.
Geo.M.G.CO.B.06: The Highly Proficient student can use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Geo.M.G.CO.B.07: The Highly Proficient student can use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Geo.M.G.CO.B.08: The Highly Proficient student can demonstrate how the criteria for triangle congruence follow from the definition of congruence in terms of rigid motions; understands and explains why SSA and AAA are not enough evidence for triangle congruence.
Geo.M.G.CO.C.10: The Highly Proficient student can prove theorems about triangles, and apply them in a realworld context. Theorems include: triangle sum theorem, base angles theorem, midsegment theorem, and the medians of a triangle meet at a point.
Geo.M.G.GPE.B.06: The Highly Proficient student can find the point on a directed line segment between two given points that partitions the segment into a given ratio.
Geo.M.G.SRT.A.01: The Highly Proficient student can verify the properties of dilations and locate the center of dilation and find the scale factor given a pair of similar figures on a coordinate plane.
Geo.M.G.SRT.A.02: The Highly Proficient student can prove or disprove that two given figures are similar, using transformations and the definitions of similarity.
Geo.M.G.SRT.B.04: The Highly Proficient student can prove theorems about triangles, and apply them in a realworld context. Theorems include: triangle proportionality theorem and converse and the Pythagorean Theorem proved using triangle similarity.
Geo.M.G.SRT.B.05: The Highly Proficient student can solve problems and prove conjectures about congruence or similarity in geometric figures, in a realworld context using congruence and similarity criteria for triangles.
Geo.M.G.SRT.C.06: The Highly Proficient student can determine the similarity of right triangles by comparing the trigonometric ratios of the corresponding sides and solve for missing angles of right triangles using sine and cosine.
Geo.M.G.C.A.01: The Highly Proficient student can prove that all circles are similar.
Geo.M.G.C.A.02: The Highly Proficient student can solve problems using relationships among inscribed angles, radii, and chords in circles.
Geo.M.G.C.A.03: The Highly Proficient student can construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
Geo.M.G.C.A.04: The Highly Proficient student can construct a tangent line from a point outside a given circle to the circle.
Geo.M.G.C.B.05: The Highly Proficient student can prove that the length of the arc intercepted by an angle is proportional to the radius, with the radian measure of the angle being the constant of proportionality. The Highly Proficient student can convert between degrees to radians.
Geo.M.G.CO.C.11: The Highly Proficient student can prove theorems about parallelograms and apply them in a realworld context.
Geo.M.G.GMD.A.03: The Highly Proficient student can find the volume of cylinders, pyramids, cones, and spheres in reallife context.
Geo.M.G.GPE.A.01: The Highly Proficient student can write the equation of a circle in centerradius form, given center and radius, given points of tangency, and by completing the square.
Geo.M.G.GPE.B.04: The Highly Proficient student can use coordinates to prove or disprove simple geometric relationships and theorems algebraically and construct visual representations on the coordinate plane that meet given conditions.
Geo.M.G.SRT.A.03: The Highly Proficient student can use the properties of similarity transformations to establish the AA, SAS, and SSS criterion for two triangles to be similar.
Geo.M.G.SRT.C.07: The Highly Proficient student can explain and use the relationship between the sine and cosine of complementary angles.
Geo.M.G.SRT.C.08: The Highly Proficient student can model solutions to situations, using trigonometric ratios and the Pythagorean Theorem, by constructing equations that can be used to solve the problem.
Geo.M.G.GMD.A.01: The Highly Proficient student can analyze and verify the formulas for the volume of a cylinder, pyramid, and cone.
Geo.M.G.GMD.A.02: The Highly Proficient student can give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
Geo.M.G.GMD.B.04: The Highly Proficient student can identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects.
Geo.M.G.MG.A.01: The Highly Proficient student can use composite geometric shapes, measures, and properties to model and describe objects.
Geo.M.G.MG.A.02: The Highly Proficient student can apply concepts of density based on area and volume to model realworld and mathematical problems.
Geo.M.G.MG.A.03: The Highly Proficient student can design a composite structure to meet constraints and optimization requirements.
Geo.M.G.SRT.D.09: The Highly Proficient student can derive the formula A = ó ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
Geo.M.G.SRT.D.10: The Highly Proficient student can prove the Laws of Sines and Cosines and use them to solve problems.
Geo.M.G.SRT.D.11: The Highly Proficient student can apply the law of cosines and sines to find the missing sides and angles of triangles.
Geo.M.G.N.Q.A.01: Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data display, include utilizing realrealworld context.
Geo.M.G.N.Q.A.02: Define appropriate quantities for the purpose of descriptive modeling. Include problemsolving opportunities utilizing realrealworld context.
Geo.M.G.N.Q.A.03: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities utilizing realrealworld context.
Alg2.M.A.APR.B.02 (polynomial): The Highly Proficient student can determine if (xa) is a factor of a given polynomial and explain why.
Alg2.M.A.APR.B.02 (quadratic): The Highly Proficient student can determine if (xa) is a factor of a given quadratic and explain why.
Alg2.M.A.APR.B.03 (polynomial): The Highly Proficient student can identify zeros of polynomials by factoring, use the zeros to sketch a graph, and identify and use zeros from a graph to construct the function.
Alg2.M.A.APR.C.04: Prove polynomial identities and use them to describe numerical relationships.
Alg2.M.A.REI.B.04 (quadratic): The Highly Proficient student can determine the best method for solving a quadratic and explain whether the graph will have xintercepts based off these solutions.
Alg2.M.CED.A.01: The Highly Proficient student can create equations and inequalities in one variable and use them to solve problems. Include problemsolving opportunities utilizing realworld context. Focus on equations and inequalities arising from linear, quadratic, rational, and exponential functions.
Alg2.M.F.IF.C.07 (quadratic): The Highly Proficient student can graph quadratic functions and show intercepts, maximums and minimums, multiplicity of zeros, domain and range, and increasing and decreasing intervals.
Alg2.M.F.IF.C.08: The Highly Proficient student can write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. b. Use the properties of exponents to interpret expressions for exponential functions and classify those functions as exponential growth or decay.
Alg2.M.F.IF.C.09: The Highly Proficient student can compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions.). Functions include linear, quadratic, exponential, polynomial, logarithmic, rational, sine, cosine, tangent, square root, cube root and piecewisedefined functions.
Alg2.M.F.LE.B.05: The Highly Proficient student can interpret the parameters in an exponential function with rational exponents utilizing realworld context.
Alg2.M.N.CN.A.01: The Highly Proficient student can apply the relation i^{2 }= –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. Write complex numbers in the form (a+bi ) with a and b real.
Alg2.M.N.CN.C.07: The Highly Proficient student can solve quadratic equations with real coefficients that have complex solutions.
Alg2.M.A.APR.D.06: The Highly Proficient student can rewrite rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or for the more complicated examples, a computer algebra system.
Alg2.M.A.REI.A.02 (radical): The Highly Proficient student can solve radical equations, explain extraneous solutions, and can justify steps by applying and naming properties.
Alg2.M.A.REI.A.02 (rational): The Highly Proficient student can solve rational equations, explain extraneous solutions, and can justify steps by applying and naming properties.
Alg2.M.A.REI.D.11: The Highly Proficient student can explain why the xcoordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) =g(x); find the solutions approximately (e.g., using technology to graph the functions, make tables of values, or find successive approximations). Include problems in realworld context. Extend from linear, quadratic, and exponential functions to cases where f(x) and/or g(x) are polynomial, rational, exponential, and logarithmic functions.
Alg2.M.A.SSE.A.02: The Highly Proficient student can use structure to identify ways to rewrite polynomial and rational expressions. Focus on polynomial operations and factoring patterns.
Alg2.M.F.BF.B.04: The Highly Proficient student can restrict the domain of a function in order to find its inverse and interpret the meaning of and relationship between a function and its inverse in realworld context.
Alg2.M.F.IF.B.04: For a function that models a relationship between two quantities, the Highly Proficient student can interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Include problemsolving opportunities utilizing a realworld context. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Functions include linear, quadratic and exponential, polynomial, logarithmic, rational, sine, cosine, tangent, square root, cube root, and piecewisedefined functions.
Alg2.M.F.IF.C.07 (exponential & log): The Highly Proficient student can graph exponential and logarithmic functions showing intercepts, maximums and minimums, end behavior, domain and range, and increasing and decreasing intervals.
Alg2.M.F.IF.C.07 (radical): The Highly Proficient student can graph square root and cube root functions showing intercepts, maximums and minimums, and increasing and decreasing intervals.
Alg2.M.F.IF.C.07 (rational): The Highly Proficient student can graph rational functions and show the zeros, asymptotes, and end behavior.
Alg2.M.F.LE.A.04: The Highly Proficient student can convert an exponential equation to a logarithmic equation and can use logarithms to solve for variables in a contextual situation.
Alg2.M.N.RN.A.01: The Highly Proficient student can explain how the definition of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
Alg2.M.N.RN.A.02: The Highly Proficient student can rewrite expressions involving radicals and rational exponents using the properties of exponents.
Alg2.M.A.REI.C.07: The Highly Proficient student can solve a system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = 3x and the circle x^{2 }+ y^{2 }= 3.
Alg2.M.A.SSE.B.03: The Highly Proficient student can choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Include problemsolving opportunities utilizing realworld context and focus on expressions with rational exponents. c. Use the properties of exponents to transform expressions for exponential functions.
Alg2.M.A.SSE.B.04: The Highly Proficient student can derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.
Alg2.M.F.IF.C.07 (trig): The Highly Proficient student can use transformations to graph trigonometric functions showing period, midline and amplitude.
Alg2.M.F.TF.A.02: The Highly Proficient student can understand that any point on any circle can be identified using trigonometry functions.
Alg2.M.F.TF.B.05: The Highly Proficient student can create and interpret sine, cosine and tangent functions that model periodic phenomena with specified amplitude, frequency, and midline.
Alg2.M.F.TF.C.08: The Highly Proficient student can use the Pythagorean identity sin^{2}(θ) + cos^{2}(θ) = 1 and the quadrant of the angle θ to find sin(θ), cos(θ), or tan(θ) given sin(θ) or cos(θ).
Alg2.M.S.CP.A.03: The Highly Proficient student can understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
Alg2.M.S.CP.A.04: The Highly Proficient student can construct and interpret twoway frequency tables of data when two categories are associated with each object being classified. Use the twoway table as a sample space to decide if events are independent and to approximate conditional probabilities.
Alg2.M.S.CP.A.05: The Highly Proficient student can explain conditional probability and independence and use them to interpret realworld probabilities.
Alg2.M.S.CP.B.06: The Highly Proficient student can use Bayes Rule to find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.
Alg2.M.S.CP.B.07: The Highly Proficient student can apply the addition rule to different representations of probability models and interpret answers in realworld context.
Alg2.M.S.CP.B.08: The Highly Proficient student can apply the multiplication rule to different representations of probability models and interpret answers in realworld context.
Alg2.M.A.S.ID.C.10: The Highly Proficient student can interpret parameters of exponential models.
Alg2.M.F.BF.A.01: The Highly Proficient student can use context to build a function to model the relationship between two quantities using an explicit expression, a recursive process, or through a combination or composition of two functions.
Alg2.M.F.BF.A.02: The Highly Proficient student can write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
Alg2.M.F.BF.B.03: The Highly Proficient student can identify the effects of transformations applied to a parent function, can find the transformation value given the graph of the transformed function, can graph a transformed function, and can recognize even and odd functions in transformation form.
Alg2.M.F.IF.B.06: The Highly Proficient student can calculate and interpret the rate of change from functions and from realworld data.
Alg2.M.F.TF.A.01: The Highly Proficient student can understand radian measure of an angle as the length of the arc on any circle subtended by the angle, measured in units of the circle's radius.
Alg2.M.S.IC.A.01: The Highly Proficient student can understand statistics as a process for making inferences about population parameters based on a random sample from that population.
Alg2.M.S.IC.A.02: The Highly Proficient student can explain whether a specified model is consistent with results from a given datagenerating process.
Alg2.M.S.IC.B.03: The Highly Proficient student can recognize the purposes of and differences between designed experiments, sample surveys and observational studies.
Alg2.M.S.IC.B.04: The Highly Proficient student can use data from a sample survey to estimate a population mean or proportion; recognize that estimates are unlikely to be correct and the estimates will be more precise with larger sample sizes.
Alg2.M.S.ID.A.04: The Highly Proficient student can use the mean and standard deviation to fit to a normal distribution and recognizes that there are data sets for which this is not appropriate. The Highly Proficient student can use a calculator or a table to estimate areas under the normal curve.
Alg2.M.S.ID.B.06: The Highly Proficient student can represent data of two quantitative variables on a scatter plot, and describe how the quantities are related. Extend to polynomial and exponential models. a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions, or choose a function, suggested by the context.
Alg2.M.A.REI.A.01: Explain each step in solving an equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. Extend from quadratic equations to rational and radical equations.
Alg2.M.N.Q.A.01: Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays, include utilizing realworld context.
Alg2.M.N.Q.A.02: Define appropriate quantities for the purpose of descriptive modeling. Include problemsolving opportunities utilizing realworld context.
Alg2.M.N.Q.A.03: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities utilizing realworld context.
Alg3.M.A.APR.B.02: I will be able to apply the Remainder Theorem to determine any zeros of a polynomial function.
Alg3.M.A.APR.B.03: I can identify the zeros of a polynomial and use the zeros to construct a rough graph of the function.
Alg3.M.A.APR.C.05: I will be able to expand a binomial using Binomial expansion, Pascal's triangle, and combinatorial methods.
Alg3.M.A.CED.A.01 Quadratics: I can create equations and inequalities in one variable and use them to solve problems (quadratics).
Alg3.M.A.CED.A.01 Radical: I can create equations and inequalities in one variable and use them to solve problems (radicals).
Alg3.M.F.IF.C.07a: I can graph linear and quadratics functions.
Alg3.M.F.IF.C.07b: I can graph square roots, cube roots, and piecewisedefined functions, including step functions and absolute value functions.
Alg3.M.F.IF.C.07c: I can graph polynomial functions showing intercepts, maximums and minimums, and end behavior.
Alg3.M.F.IF.C.08a: I will be able to factor and complete the square in a quadratic function to show zeros, extreme values, and symmetry of the graph.
Alg3.M.N.CN.A.02: I can add, subtract, and multiply complex numbers.
Alg3.M.N.CN.A.03: I can find the conjugate of a complex number and use the conjugate to find a quotient of a complex number.
Alg3.M.N.RN.A.02: I can rewrite radical expressions to expressions using rational exponent.
Alg3.M.A.APR.D.07: I can simplify rational expressions.
Alg3.M.A.APR.D.06: I can rewrite rational expressions in different forms.
Alg3.M.A.CED.A.01 Rational: I can create equations and inequalities in one variable and use them to solve problems (rational).
Alg3.M.F.IF.C.07d: I can graph rational functions using zeroes, asymptotes, and end behavior.
Alg3.M.F.IF.C.07e (Exponential & Logs): I can graph exponential and logarithmic functions showing intercepts, maximums and minimums, and end behavior.
Alg3.M.F.LE.A.04: I can solve exponential functions by estimating graphically and calculating algebraically.
Alg3.M.A.REI.C.07: I will be able to find the solution(s) of a system of equations.
Alg3.M.A.REI.C.08: I can write a system of linear equations as a single matrix equation.
Alg3.M.A.REI.C.09: I can find the inverse of a matrix and use it to solve a system of linear equations.
Alg3.M.F.BF.A.01c: I can write exponential and logarithmic functions that describe a relationships between two quantities.
Alg3.M.F.BF.B.04a: I can find and write inverse functions.
Alg3.M.F.BF.B.04c: I can find and write inverse values from a table or graph.
Alg3.M.F.BF.B.05: I will be able to understand the relationship between exponents and logarithms and use this relationship to solve problems.
Alg3.M.N.VM.C.08: I can add, subtract and multiply matrices.
Alg3.M.F.IF.C.07e (Trigonometric): I can graph trigonometric functions.
Alg3.M.F.TF.A.01: I understand that radian measure of an angle is the length of the arc on the unit circle encompassed by the angle.
Alg3.M.F.TF.A.02: I can use the unit circle to evaluate trigonometric functions of real numbers and interpret radian measures of angles around the unit circle.
Alg3.M.F.TF.A.03: I can use special triangles to determine the values of sine, cosine, and tangent for ?/3, ?/4, and ?/6.
Alg3.M.G.SRT.C.06: I can understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric.
Alg3.M.G.SRT.C.08: I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
PreCalc.M.RFR.AF.01: I can calculate, interpret, and use average rate of change given a function mathematically or as a model. I can use the parameters of the function to define and limit domain and range given a graph, a model, or an equation.
PreCalc.M.RFR.AF.02: I can graph any function using the parent function, the ‘a’ value, and the horizontal and vertical shifts. I can use the function parameters to describe the function’s behavior, including domain, range, asymptotic behavior, and end behavior.
PreCalc.M.RFR.AF.03: I can identify key features of a function from a graph, a table, or an equation. I can evaluate a function at a point using multiple representations of the function.
PreCalc.M.RFR.AF.04: I can use determine the asymptotes of a function algebraically and graphically. I can use limit notation to describe the behavior of the function as it approaches the asymptotes and infinity.
PreCalc.M.RFR.BF.01: I can model realworld situations with the sum, difference, product, or quotient of other function models.
PreCalc.M.RFR.BF.02: I can compose functions that describe relationships between two quantities.
PreCalc.M.RFR.BF.03: I can combine two functions by applying them in order.
PreCalc.M.RFR.BF.04: I can find an inverse of a function algebraically.
PreCalc.M.RFR.BF.05: I can describe the meaning of given a function that takes hours as an input and gives miles as an output. I can make sense of the covarying quantities when modeling with inverse functions.
PreCalc.M.RFR.BF.06: I can use algebra to find an inverse function.
PreCalc.M.RM.UM.01: I can use matrices to represent and manipulate data.
PreCalc.M.RM.UM.02: I can use matrix operations to solve problems. I can add, subtract, and multiply matrices of appropriate dimensions. I can multiply matrices by scalars to produce new matrices.
PreCalc.M.RM.UM.03: I can find the inverse and determinant of a matrix.
PreCalc.M.RM.UM.04: I can rewrite a system of equations using a matrix, and can apply technology to solve a system of linear equations using the inverse matrix.
PreCalc.M.RFR.ISS.01: I can work with arithmetic sequences and series. I can work with geometric sequences and series.
PreCalc.M.RFR.ISS.02: I can use relationships between variables to model how they vary together. I can write a nonarithmetic or nongeometric sequence.
PreCalc.M.RFR.ISS.03: I can represent finite or infinite series using sigma notation.
PreCalc.M.RFR.ISS.04: I can find the sums of finite or infinite series, if they exist.
PreCalc.M.RFR.AF.05: I can graph trigonometric functions, showing period, midline, and amplitude.
PreCalc.M.RFR.IC.01: I can apply the concepts of conics in the real world.
PreCalc.M.RFR.IC.02: I can compare and contrast the key features of conics such as foci, directrix, transverse and conjugate, vertices, center, axis of symmetry and latus rectum.
PreCalc.M.RFR.IC.03: I can sketch the graph of a circle, a parabola, an ellipse, and a hyperbola using the key features: foci, directrix, transverse and conjugate, vertices, center, axis of symmetry and latus rectum.
PreCalc.M.RFR.IC.04: I can create the equation of a conic section using the key features: foci, directrix, transverse and conjugate, vertices, center, asymptotes, axis of symmetry and latus rectum.
PreCalc.M.RFR.IC.05: I can use the method of completing the square to put the equation of the conic sections into standard form and identify whether it is an ellipse, a hyperbola, a parabola or a circle.
PreCalc.M.RV.EV.01: I can recognize vector quantities as having both magnitude and direction.
PreCalc.M.RV.EV.02: I can represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes.
PreCalc.M.RV.EV.03: I can find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.
PreCalc.M.RV.EV.04: I can solve problems involving velocity and other quantities that can be represented by vectors.
PreCalc.M.RV.EV.05: I can add and subtract vectors, and multiply a vector by a scalar.
PreCalc.M.RT.EPE.01: I can convert a point from rectangular to polar form, and a point from polar to rectangular form. I can determine equivalent polar representations from a given point, and graph polar equations using a table of values and graphing devices.
PreCalc.M.RT.EPE.02: I can analyze graphs of polar equations and look for patterns in their behavior including but not limited to the number of petals in the rose, symmetry, intersection points for two or more polar graphs, and the required domain to complete the graph. I can reconcile preconceived notions of graphs in rectangular form with graphs in polar form. For example: the vertical line test, the meaning of constant rate of change/linearity.
PreCalc.M.RT.EPE.03: I can use polar equations to solve problems.
PreCalc.M.RT.RTS.01: I can rewrite a trigonometric expression using algebraic properties and trigonometric identities.
PreCalc.M.RT.RTS.02: I can use trigonometric formulas to rewrite and evaluate trigonometric expressions and equations.
PreCalc.M.RT.RTS.03: I can solve trigonometric equations.
PreCalc.M.RT.ETT.01: I can use trigonometry to solve realworld problems.
PreCalc.M.RT.ETT.02: I can apply the Law of Sines and the Law of Cosines to solve problems.
PreCalc.M.RT.ETT.03: I can use trigonometry to find the area of triangles.
PreCalc.M.RT.ETT.04: I can solve problems using special triangles and the unit circle to obtain exact answers.
PreCalc.M.RT.ETT.05: I can use the unit circle to explain symmetry and periodicity of trigonometric functions.
PreCalc.M.RT.ETT.06: I can use inverse trigonometric functions to solve realworld problems and interpret the solution in the context of the problem.
PreCalc.M.RV.MP.01: I can model realworld contexts with parametric equations.
PreCalc.M.RV.MP.02: I can use parametric equations to solve problems.
PreCalc.M.RV.MP.03: I can graph parametric equations and identify orientation.
PreCalc.M.RV.MP.04: I can analyze and interpret the graphs of parametric equations.
Parents, these sites are free to use, or have at least some free options. Some may require creating a free account. Once you know the name of the standard your child is working on, try searching within the site for that standard.
K5 Resources 

Math and science games for elementary and middle school students. Free upgraded access during COVID19 school closures. 
Information and helpful links on creating virtual field trips for students. 
Scratch and Scratch Jr. Learn to code, as students can learn to program and share or explore already created stories, games, and animation. 
Social Studies integrated activities and lessons, free during COVID19 school closures. Largely K6. 
Leveled reading passages and activities with crosscurricular connections. Free trial period available. 
Practice and assessment tool that is customizable and offers realtime progress monitoring, K12. Free access right now. 
Student/Family Online Resources Strong Math and ELA focus, but also including some other areas such as technology, movement, and mindfulness. 
Social Studies resources, documents, and video clips. 
Activities, games, and exploration for many topics at the elementary level. 
Videos, activities, and lessons with free access during COVID19 school closures. 
Reading interactive online episodes to teach K5 students fundamentals and comprehension skills. 
Thousands of free reading passages. You can sort by grade, topic, difficulty and more. Create a free account in the upper right corner. 
Informative explanations of many math topics. Searchable by content and standard. 
Students work through a variety of keyboarding practice activities, with a data collection component. Free trial period available. 
Highquality instructional videos on many standards. Search by subject and standard. 
ELA and Math resources for students and parents in grades 39. 
Free, engaging science lessons designed for remote learning in grades K5. 
Studentfriendly articles based on news and current events. 
Literacy resources, free for the rest of the school year, focused on literacy in a variety of content areas. 
Engaging virtual games in a variety of contents, K6. 
Frequentlyupdated website with links to sites that are offering free subscriptions due to COVID19 school closures. 
Selfgrading exercises that are gamified for students and provide data. Free accounts available during COVID19 school closures. 
Free library of over 60,000 ebooks. 
Movement and mindfulness videos created by child development experts. 
Daily crosscurricular activities at the K6+ level, designed for remote learning. 
Join the Kennedy Center ArtistinResidence for daily drawing, doodling, and writing. 
200 Free Educational Resources 200 free educational resources including video lessons, apps, books, and websites. 
Over 2,000 science and social studies articles with visuals and assessments for elementary and middle school students. 
Free games, videos, and exploration on a variety of highinterest topics. 
Activity books, guides, and resources designed to help students remain engaged in education during COVID19 school closures. 
Free books, lessons, and activities designed for athome learning. 
Daily activities, games, and tips to help kids play and learn at home. 
Stepbystep learning and games in reading and spelling. 
Reading skillbuilding and comprehension activities. 
Activities and games in reading development, math, ELA, and music. 
Videos featuring actors reading children's books alongside illustrations. 
List of 20+ online learning resources available during COVID19 school closures. 
Educational Resources to Use at Home List of 37 online learning resources available during COVID19 school closures. 
Online Physical Education Network Games and calendars for families as well as teacher and parent tools. 
Live web cams for elephants, lions, grizzlies, giraffes, and lemurs, and other educational opportunities. 
Arizona Public Media  At Home Learning Resources to expand learning and family engagement  updated weekly during the COVID19 outbreak. 
Artwork, collections, and stories from around the world, including virtual field trips. 
Literacy, math, science, and art activities for students up to age 8. 
Hundreds of free audiobooks and readalongs. 
Many of these resources require purchase, but some are free to download and use. Filter your search to "Free" options. 
NYC Dept of Education Resources Links for athome learning, including magazines, websites, free or discounted books, and Coronavirus information for children. 
Sample tests to familiarize students, teachers, and parents with content, item types, and the user interface of the Arizona state assessments. 
A very powerful website for ELA standards and practice. 
Many reading resources based on all content areas. Searchable by topic and subject. 
Try searching for a specific topic, such as "how to add fractions". 
Many resources based on science. Searchable by topic and subject. 
Explore the "wonder of the day" or those of past days for highly engaging passages and videos. 
STEM (science, technology, engineering, and math) activities designed to do at home. 
Cool Cat Teacher Resources for Home List of 20+ online learning resources available during COVID19 school closures. 
Interactive books, games, and printable activities. 
Games, reading, and videos focused on a variety of topics and contents. 
All about animals. Make and play, watch and listen, or teach and learn. 
Time magazine but for kids, focused on literacy skills and becoming informed and active citizens. 
Adfree streaming library of readaloud animated storybooks. 1 month free. 
TED Talks for students on highly engaging topics, including video, questions, deeper information, and discussion topics. 


Middle School Resources 

Practice and assessment tool that is customizable and offers realtime progress monitoring, K12. Free access right now. 
Leveled reading passages and activities with crosscurricular connections. Free trial period available. 
Scratch and Scratch Jr. Learn to code, as students can learn to program and share or explore already created stories, games, and animation. 
Social Studies resources, documents, and video clips. 
Thousands of free reading passages. You can sort by grade, topic, difficulty and more. Create a free account in the upper right corner. 
Videos, activities, and lessons with free access during COVID19 school closures. 
Very detailed Biology resources. Mostly high school level, but useful in middle school as well. 
Informative explanations of many math topics. Searchable by content and standard. 
Students work through a variety of keyboarding practice activities, with a data collection component. Free trial period available. 
Highquality instructional videos on many standards. Search by subject and standard. 
ELA and Math resources for students and parents in grades 39. 
Studentfriendly articles based on news and current events. 
Frequentlyupdated website with links to sites that are offering free subscriptions due to COVID19 school closures. 
Selfgrading exercises that are gamified for students and provide data. Free accounts available during COVID19 school closures. 
Free library of over 60,000 ebooks. 
200 Free Educational Resources 200 free educational resources including video lessons, apps, books, and websites. 
Over 2,000 science and social studies articles with visuals and assessments for elementary and middle school students. 
Activity books, guides, and resources designed to help students remain engaged in education during COVID19 school closures. 
Reading skillbuilding and comprehension activities. 
List of 20+ online learning resources available during COVID19 school closures. 
Educational Resources to Use at Home List of 37 online learning resources available during COVID19 school closures. 
Online Physical Education Network Games and calendars for families as well as teacher and parent tools. 
Arizona Public Media  At Home Learning Resources to expand learning and family engagement  updated weekly during the COVID19 outbreak. 
Artwork, collections, and stories from around the world, including virtual field trips. 
Hundreds of free audiobooks and readalongs. 
Many of these resources require purchase, but some are free to download and use. Filter your search to "Free" options. 
NYC Dept of Education Resources Links for athome learning, including magazines, websites, free or discounted books, and Coronavirus information for children. 
Sample tests to familiarize students, teachers, and parents with content, item types, and the user interface of the Arizona state assessments. 
A very powerful website for ELA standards and practice. 
Many reading resources based on all content areas. Searchable by topic and subject. 
ELA resource based on parts of speech. 
Try searching for a specific topic, such as "how to add fractions". 
Many resources based on science. Searchable by topic and subject. 
A list of descriptive words to pump up the quality of writing. 
Explore the "wonder of the day" or those of past days for highly engaging passages and videos. 
STEM (science, technology, engineering, and math) activities designed to do at home. 
Cool Cat Teacher Resources for Home List of 20+ online learning resources available during COVID19 school closures. 
Games, reading, and videos focused on a variety of topics and contents. 
TED Talks for students on highly engaging topics, including video, questions, deeper information, and discussion topics. 
Information and helpful links on creating virtual field trips for students. 
Lessons and activities to teach children about credit and finances. 

High School Resources 

Practice and assessment tool that is customizable and offers realtime progress monitoring, K12. Free access right now. 
Leveled reading passages and activities with crosscurricular connections. Free trial period available. 
Scratch and Scratch Jr. Learn to code, as students can learn to program and share or explore already created stories, games, and animation. 
Social Studies resources, documents, and video clips. 
Thousands of free reading passages. You can sort by grade, topic, difficulty and more. Create a free account in the upper right corner. 
Very detailed Biology resources. Mostly high school level, but useful in middle school as well. 
Informative explanations of many math topics. Searchable by content and standard. 
Highquality instructional videos on many standards. Search by subject and standard. 
Studentfriendly articles based on news and current events. 
Frequentlyupdated website with links to sites that are offering free subscriptions due to COVID19 school closures. 
200 Free Educational Resources 200 free educational resources including video lessons, apps, books, and websites. 
Activity books, guides, and resources designed to help students remain engaged in education during COVID19 school closures. 
List of 20+ online learning resources available during COVID19 school closures. 
Educational Resources to Use at Home List of 37 online learning resources available during COVID19 school closures. 
Online Physical Education Network Games and calendars for families as well as teacher and parent tools. 
Arizona Public Media  At Home Learning Resources to expand learning and family engagement  updated weekly during the COVID19 outbreak. 
Artwork, collections, and stories from around the world, including virtual field trips. 
Hundreds of free audiobooks and readalongs. 
Many of these resources require purchase, but some are free to download and use. Filter your search to "Free" options. 
NYC Dept of Education Resources Links for athome learning, including magazines, websites, free or discounted books, and Coronavirus information for children. 
Sample tests to familiarize students, teachers, and parents with content, item types, and the user interface of the Arizona state assessments. 
A YouTube channel with great math howto videos. 
Many of these resources require a paid subscription, but some are free to view. Good section on AP classes. 
A comprehensive "history of the universe" project. 
A very powerful website for ELA standards and practice. 
Many reading resources based on all content areas. Searchable by topic and subject. 
Try searching for a specific topic, such as "how to add fractions". 
Text structures: types, outlines, and examples Very useful guidelines on writing and types of writing. 
Many resources based on science. Searchable by topic and subject. 
Explore the "wonder of the day" or those of past days for highly engaging passages and videos. 
STEM (science, technology, engineering, and math) activities designed to do at home. 
Cool Cat Teacher Resources for Home List of 20+ online learning resources available during COVID19 school closures. 
TED Talks for students on highly engaging topics, including video, questions, deeper information, and discussion topics. 
Information and helpful links on creating virtual field trips for students. 
Lessons and activities to teach children about credit and finances. 

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