Standards
Patterns, Algebra, and Functional Reasoning
Generate resourceNumerical Reasoning
Generate resourceMeasurement, Geometry, and Spatial Reasoning
Generate resourceData, Probability, and Statistical Reasoning
Generate resourceSTRUCTURE & PATTERNS
Generate resourceANALYZE & JUSTIFY
Generate resourceCONNECTIONS
Generate resourceREPRESENTATION & COMMUNICATION
Generate resourcePROBLEM SOLVING
Generate resourceMathematical Process Standards
Generate resourceCreate and analyze scatter plots to represent numerical data sets in mathematical and real-world situations.
Generate resourceDraw inferences about data sets from two populations using the shape of the distribution, measures of center, and measures of variability. Limit measures to mean, median, mode, range, mean absolute deviation, and interquartile range.
Generate resourceDescribe how adding and deleting data throughout the data set can affect the mean, median, mode, and distribution of the data set.
Generate resourceFor two data sets (numerical or graphical), compare and interpret the centers, spreads, and overlap of data to draw inferences about data in mathematical and real-world situations. Limit displays to double line graphs, backto-back stem-and-leaf plots, and double box plots.
Generate resourceCalculate and interpret the probability of compound independent and dependent events.
Generate resourceFind the distance between any two points in the coordinate plane using the Pythagorean Theorem.
Generate resourceGiven the Pythagorean Theorem, determine unknown side lengths in right triangles in mathematical and real-world situations.
Generate resourceDiscover and apply the Exterior Angle Theorem of triangles to find a missing angle.
Generate resourceIdentify congruent angles and congruent line segments of a preimage and its image.
Generate resourceDetermine if a table, graph, verbal description, or equation represents a function and describe its characteristics.
Generate resourceUse multiple representations including mappings, tables, graphs, verbal description, and equations (only when linear) of two functions to compare the functions and draw conclusions.
Generate resourceWrite, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities.
Generate resourceDescribe single-variable equations as having one solution, no solution, or an infinite number of solutions.
Generate resourceExplain why the slope, m, is the same between any two distinct points on a linear graph.
Generate resourceGiven a table or a graph, identify the slope and the y-intercept of a line and write a linear equation to express that line.
Generate resourceApply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equivalent expressions.
Generate resourceAnalyze patterns of perfect squares and perfect cubes to evaluate square roots and cube roots. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
Generate resourceApproximate non-perfect square roots and cube roots to nearest tenth. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
Generate resourceUse angle and segment relationships in circles to solve mathematical and realworld situations.
Generate resourceInvestigate and apply relationships in circles, inscribed angles, radii, secants, and chords; among inscribed angles, central angles, and circumscribed angles; and between radii and tangents to circles.
Generate resourceSummarize, represent, and interpret data on two categorical and quantitative variables.
Generate resourceRepresent data for two quantitative variables on a scatter plot and describe how the variables are related.
Generate resourceUse two representative points from the data to find an approximate line of fit and compare it to the line of best fit.
Generate resourceConduct an investigation for a statistical question, interpret statistical significance in the context of a situation, and answer investigative questions appropriately.
Generate resourceSolve problems involving the probability of compound events in real-world situations.
Generate resourceDescribe categories of events as subsets of a sample space using unions, intersections, or complements of other events.
Generate resourceApply the Addition Rule to find the probability of both mutually exclusive and not mutually exclusive events and interpret the answers in context.
Generate resourceApply the Multiplication Rule to determine the probability of independent events and interpret the answers in context.
Generate resourceCompute area and volume of figures by determining how the figure might be obtained from simpler figures by dissection and recombination.
Generate resourceApply area and volume formulas of two and three-dimensional figures to solve real-world situations.
Generate resourceIdentify the shape of a two-dimensional cross-section of a three-dimensional figure.
Generate resourceUse cross-sections of three-dimensional figures to model and solve mathematical and real-world situations.
Generate resourceApply rigid geometric transformations to figures, describing their attributes and symmetries.
Generate resourceDescribe the results of transformations on a given figure using geometric terminology from the definitions of the transformations.
Generate resourceDescribe and apply a sequence of transformations that maps a preimage onto its image.
Generate resourceDetermine that two figures are congruent by demonstrating that a rigid motion or a sequence of rigid motions maps one figure onto the other.
Generate resourceIdentify types of symmetry of polygons, including line, point, rotational, and self congruence, and use symmetry to analyze mathematical situations.
Generate resourceDemonstrate that triangles and quadrilaterals are congruent by a combination of translations, rotations, and reflections.
Generate resourceRecognize the criteria for showing triangles are congruent using a sequence of rigid motions that map one triangle to another and justify that the two triangles are congruent by applying the Side-SideSide, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions.
Generate resourceDetermine that two figures are similar by demonstrating a similarity transformation or a sequence of similarity transformations that maps one figure onto the other.
Generate resourceDemonstrate experimentally the properties of dilations given by a center and a scale factor.
Generate resourceJustify experimentally that a dilation of a line segment is longer or shorter, given the ratio.
Generate resourceRecognize that the criteria for showing triangles are similar using a similarity transformation that maps one figure to the other and justify the two triangles are similar by applying the Angle-Angle, SideSide-Side, and Side-Angle-Side similarity conditions.
Generate resourceDemonstrate whether a conjecture or theorem is true or false using a variety of algebraic and geometric explanations.
Generate resourceJustify and apply the attributes of angle relationships/lines in mathematical and real-world situations.
Generate resourceApply the attributes of triangles in mathematical and real-world situations.
Generate resourceApply the attributes of quadrilaterals, including diagonals, sides, and angles, to prove that a given quadrilateral is a parallelogram in mathematical and real world situations.
Generate resourceDiscover and apply the constant ratios of the sides in 30-60-90 and 45-45-90 right triangles.
Generate resourceDefine the trigonometric ratios using the properties of similar right triangles.
Generate resourceDetermine the sine, cosine, and tangent of an acute angle in a right triangle in the context of mathematical and real-world situations.
Generate resourceApply trigonometric ratios (sine, cosine, tangent) and the Pythagorean Theorem to solve right triangle problems in real-life situations.
Generate resourceRepresent all points on the number line as irrational and rational numbers in the real number system.
Generate resourceRewrite numerical expressions of irrational and rational numbers involving radicals, including addition, subtraction, multiplication, and division, to recognize geometric patterns.
Generate resourceAnalyze the structure of an equation or inequality to determine an efficient strategy to find a solution, if one exists, then justify the solution.
Generate resourceDiscover and apply the formulas for the length of an arc and the area of a sector in a circle to develop mathematical models and solve mathematical and real world situations.
Generate resourceAnalyze and apply the derivations of the formulas for the circumference of a circle, area of a circle, and volume of a cylinder, pyramid, and cone to model real phenomena and solve mathematical and real-world situations.
Generate resourceInterpret the structure of expressions, equations, and inequalities to analyze and make predictions in different contexts.
Generate resourceApply surface area and volume formulas for prisms, cylinders, pyramids, cones, spheres, and/or compositions of figures to solve problems and justify results.
Generate resourceAnalyze slopes of lines to determine whether lines are parallel, perpendicular, or neither.
Generate resourceDetermine the equation of a line passing through a given point that is parallel or perpendicular to a given line.
Generate resourceDetermine the exact or approximate solutions of equations and inequalities using graphs on the coordinate plane.
Generate resourceDetermine distance and midpoint of segments in a coordinate plane to find areas of triangles and quadrilaterals, when given coordinates.
Generate resourceDemonstrate a deep and flexible conceptual understanding of mathematical ideas, operations, and relationships while making real-world connections.
Generate resourceExplain ideas using precise and contextually appropriate mathematical language, tools, and models.
Generate resourceIdentify and apply regularity in repeated reasoning to make generalizations.
Generate resourceCreate stem-and-leaf plots to represent numerical data sets in mathematical and real-world situations.
Generate resourceUse the shape of the graph to select the measure of center (mean, median, or mode) that best describes the data set.
Generate resourceCalculate and interpret the measures of center (mean, median, mode) and spread (mean absolute deviation, interquartile range, range) in mathematical and real-world situations.
Generate resourceCreate histograms to represent data sets and interpret histograms to answer questions or draw conclusions about data sets.
Generate resourceCalculate and interpret the theoretical probability of a simple random event.
Generate resourceCalculate and interpret the experimental probability of a random event related to a simple experiment.
Generate resourceCompare and contrast the experimental and theoretical probabilities for a simple experiment.
Generate resourceIdentify the parts of a circle. Limit parts to center, radius, diameter, and chord.
Generate resourceDescribe the relationship between the radius, diameter, and circumference of a circle.
Generate resourceSolve mathematical and real-world situations involving circumference or area of circles.
Generate resourceDetermine if three given side lengths can form a triangle using the Triangle Inequality Theorem.
Generate resourceIn mathematical and real-world situations, find the volume of right prisms and right pyramids having triangular or quadrilateral bases.
Generate resourceIn mathematical and real-world situations, find the surface area of right prisms and right pyramids having triangular or quadrilateral bases.
Generate resourceDetermine the measure of the third angle given the measure of the other two angles of a triangle using the Triangle Sum Theorem.
Generate resourceSolve mathematical and real-world situations involving dimensions and areas of geometric figures including scale drawings and scale factors.
Generate resourceIdentify the relationships and measures among angles formed by two intersecting lines, given the measure of one angle. Limit to supplementary, complementary, vertical, and adjacent relationships.
Generate resourceWrite and solve equations to solve mathematical and real-world situations involving the relationships among angles formed by two intersecting lines. Limit to supplementary, complementary, vertical, and adjacent relationships.
Generate resourceFind distances between ordered pairs on the coordinate plane, limited to the same x-coordinate or the same y-coordinate.
Generate resourceConvert rational numbers into equivalent forms among fractions (including mixed numbers), decimals, and percentages. Exclude the conversion of repeating decimals to fractions.
Generate resourceCompare two rational numbers and write statements using is equal to (=), is not equal to (≠), is less than (<), is greater than (>), is greater than or equal to (≥), and/or is less than or equal to (≤) in mathematical and real-world situations.
Generate resourceApply proportional reasoning to solve problems in mathematical and real-world situations involving ratios and percentages.
Generate resourceCreate a model with functions that address a proportional relationship in real-world situations.
Generate resourceIdentify the constant of proportionality within proportional relationships.
Generate resourceWrite and solve multi-step equations and inequalities in one variable involving rational numbers in mathematical and real-world situations.
Generate resourceWrite and evaluate expressions in one variable that model mathematical and real-world situations
Generate resourceCompute unit rates, including those involving complex fractions with like or different units.
Generate resourceUse dimensional analysis to convert units between metric and customary systems.
Generate resourceSimplify numerical expressions that include integer exponents using the laws of exponents: the Product of Powers, Quotient of Powers, Power of a Power, Power of a Product, Power of a Quotient, Zero Power, and Negative Exponent.
Generate resourceRecognize that algebraic expressions may have a variety of equivalent forms and determine an appropriate form for a given real-world situation.
Generate resourceFactor linear expressions with integer coefficients using the greatest common factor (GCF).
Generate resourceApply all operations with rational numbers to solve problems in mathematical and real-world situations.
Generate resourceDetermine if a table, graph, verbal description, or equation represents a function and describe its characteristics.
Generate resourceWrite, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities.
Generate resourceApply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equivalent expressions.
Generate resourceGiven the geometric formulas, find the volume of cones, cylinders, and spheres in mathematical and real-world situations.
Generate resourceDetermine missing angle measurements created when parallel lines are cut by a transversal.
Generate resourceApply proportional reasoning to find the missing side lengths of two similar figures.
Generate resourceIdentify the transformation as a rotation, reflection, and/or translation. Limit rotations to multiples of 90 degrees centered on the origin.
Generate resourceRotate geometric figures 90, 180, and 270 degrees, both clockwise and counterclockwise, about the origin in a coordinate plane.
Generate resourceCreate a dilation using a given scale factor and describe the effect of a dilation.
Generate resourceDescribe the effect of a series of transformations, including dilations, translations, rotations, and reflections, on two-dimensional figures using coordinates on the coordinate plane.
Generate resourceConvert any form of a rational number to any other form including fractions (mixed numbers), decimals, and percentages.
Generate resourceCompare real numbers and write statements using is equal to (=), is not equal to (≠), is less than (<), is greater than (>), is greater than or equal to (≥), or is less than or equal to (≤).
Generate resourceClassify and order the subsets of real numbers in the number system including natural, whole, integer, rational, and irrational numbers.
Generate resourceDefine an equation in slope-intercept form (y = mx + b) as being a linear function.
Generate resourceIdentify and describe the constant rate of change and the y-intercept of a linear function.
Generate resourceDetermine if a graph, table, mapping, or verbal description is a function (linear or nonlinear) or not a function.
Generate resourceDescribe the key features of given functions, including domain, range, intervals of increasing or decreasing, constant, discrete, continuous, and intercepts.
Generate resourceTranslate among the multiple representations including mappings, tables, graphs, verbal description, and equations (only when linear) of a function.
Generate resourceSolve multi-step one variable equations and inequalities with variables on both sides with rational coefficients.
Generate resourceIdentify the rate of change for a linear function as the slope of the line.
Generate resourceApply laws of exponents to simplify algebraic expressions involving no more than three variables and integer exponents.
Generate resourceDemonstrate a deep and flexible conceptual understanding of mathematical ideas, operations, and relationships while making real-world connections.
Generate resourceExplain ideas using precise and contextually appropriate mathematical language, tools, and models.
Generate resourceIdentify and apply regularity in repeated reasoning to make generalizations.
Generate resourceCreate and analyze scatter plots to represent numerical data sets in mathematical and real-world situations.
Generate resourceDraw inferences about data sets from two populations using the shape of the distribution, measures of center, and measures of variability. Limit measures to mean, median, mode, range, mean absolute deviation, and interquartile range.
Generate resourceDescribe how adding and deleting data throughout the data set can affect the mean, median, mode, and distribution of the data set.
Generate resourceFor two data sets (numerical or graphical), compare and interpret the centers, spreads, and overlap of data to draw inferences about data in mathematical and real-world situations. Limit displays to double line graphs, back-to-back stem-and-leaf plots, and double box plots.
Generate resourceCalculate and interpret the probability of compound independent and dependent events.
Generate resourceGiven the geometric formulas, find the volume of cones, cylinders, and spheres in mathematical and real-world situations.
Generate resourceFind the distance between any two points in the coordinate plane using the Pythagorean Theorem.
Generate resourceGiven the Pythagorean Theorem, determine unknown side lengths in right triangles in mathematical and real-world situations.
Generate resourceDetermine missing angle measurements created when parallel lines are cut by a transversal.
Generate resourceDiscover and apply the Exterior Angle Theorem of triangles to find a missing angle.
Generate resourceApply proportional reasoning to find the missing side lengths of two similar figures.
Generate resourceIdentify the transformation as a rotation, reflection, and/or translation. Limit rotations to multiples of 90 degrees centered on the origin.
Generate resourceIdentify congruent angles and congruent line segments of a pre-image and its image.
Generate resourceRotate geometric figures 90, 180, and 270 degrees, both clockwise and counterclockwise, about the origin in a coordinate plane.Create a dilation using a given scale factor and describe the effect of a dilation.
Generate resourceCreate a dilation using a given scale factor and describe the effect of a dilation.
Generate resourceDescribe the effect of a series of transformations, including dilations, translations, rotations, and reflections, on two-dimensional figures using coordinates on the coordinate plane.
Generate resourceConvert any form of a rational number to any other form including fractions (mixed numbers), decimals, and percentages.
Generate resourceCompare real numbers and write statements using is equal to (=), is not equal to (≠), is less than (<), is greater than (>), is greater than or equal to (≥), or is less than or equal to (≤).
Generate resourceClassify and order the subsets of real numbers in the number system including natural, whole, integer, rational, and irrational numbers.
Generate resourceDetermine if a table, graph, verbal description, or equation represents a function and describe its characteristics.
Generate resourceDefine an equation in slope-intercept form (y = mx + b) as being a linear function.
Generate resourceIdentify and describe the constant rate of change and the y-intercept of a linear function.
Generate resourceDetermine if a graph, table, mapping, or verbal description is a function (linear or nonlinear) or not a function.
Generate resourceDescribe the key features of given functions, including domain, range, intervals of increasing or decreasing, constant, discrete, continuous, and intercepts.
Generate resourceUse multiple representations including mappings, tables, graphs, verbal description, and equations (only when linear) of two functions to compare the functions and draw conclusions.
Generate resourceTranslate among the multiple representations, including mappings, tables, graphs, verbal description, and equations (only when linear) of a function.
Generate resourceWrite, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities.
Generate resourceSolve multi-step one-variable equations and inequalities with variables on both sides with rational coefficients.
Generate resourceDescribe single-variable equations as having one solution, no solution, or an infinite number of solutions.
Generate resourceIdentify the rate of change for a linear function as the slope of the line.
Generate resourceExplain why the slope, m, is the same between any two distinct points on a linear graph.
Generate resourceGiven a table or a graph, identify the slope and the y-intercept of a line and write a linear equation to express that line.
Generate resourceApply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equivalent expressions.
Generate resourceAnalyze patterns of perfect squares and perfect cubes to evaluate square roots and cube roots. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
Generate resourceApproximate non-perfect square roots and cube roots to nearest tenth. Limit to square roots less than or equal to 400 and cube roots less than or equal to 1,000.
Generate resourceApply laws of exponents to simplify algebraic expressions involving no more than three variables and integer exponents.
Generate resourceDemonstrate a deep and flexible conceptual understanding of mathematical ideas, operations, and relationships while making real-world connections.
Generate resourceExplain ideas using precise and contextually appropriate mathematical language, tools, and models.
Generate resourceIdentify and apply regularity in repeated reasoning to make generalizations.
Generate resource