Mathematics Performance Assessments

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using models or equations and strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve word problems involving the multiplication of fractions and mixed numbers using models or equations, including area models.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can measure angles in whole-number degrees using a protractor and sketch angles of specified measure.

Students can solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can apply volume formulas to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can develop a probability model (which may or may not be uniform) by observing frequencies in data generated from a chance process.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can analyze the quantitative relationship between dependent and independent variables using graphs, tables, and equations.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can apply the area and perimeter formulas for rectangles in real world and mathematical problems.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can compare two fractions with the same numerator or the same denominator, and justify their conclusions, using number lines and other models.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can evaluate expressions at specific values of their variables including expressions that arise from formulas used in real-world problems and those involving whole number exponents.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using models or equations.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can display numerical data in plots on a number line, including dot plots, histograms, and box plots.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can compare two decimals to hundredths and justify their conclusions by reasoning about their size.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations.

Students can use area models to represent the distributive property in mathematical reasoning.

Students can fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations.

Students can generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch, and represent this data using line plots.

Students can solve real world and mathematical problems involving areas and perimeters of rectangles with whole number side lengths.

Students can solve real world problems involving areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can solve real-world and mathematical problems requiring them to draw polygons in the coordinate plane given coordinates for the vertices and using coordinates to find the length of a side joining points on the horizontal or vertical axis.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use decimal notation for fractions with denominators 10 or 100.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use area models to represent the distributive property in mathematical reasoning.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can divide unit fractions by whole numbers and whole numbers by unit fractions.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve word problems involving division of fractions by fractions using models and equations.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students know the formulas for the area and circumference of a circle and use them to solve problems.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Students can use whole-number exponents to denote powers of 10.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

Students use a variety of models to represent and solve problems involving addition and subtraction within 100, including on a number line diagram.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can evaluate expressions at specific values of their variables including expressions that arise from formulas used in real-world problems and those involving whole number exponents.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can fluently divide multi-digit numbers using the standard algorithm.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can compare two fractions with different numerators and different denominators and justify their conclusions by creating common numerators or common denominators; comparing to benchmark fractions; or using number lines and other models.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can construct a function to model a linear relationship between two quantities.

Students can analyze, evaluate and generate explanations about their world by exploring the properties and relationships of points, lines, shapes, space, and the positions of figures.

Students can recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can show that the distance between two rational numbers on the number line is the absolute value of their difference and apply this principle in real-world contexts.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can compare two multi-digit whole numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can solve real-world and mathematical problems using the nets to find the surface area of three-dimensional figures.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can graph the solution set of an inequality and interpret it in the context of the original problem.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve real-world and mathematical problems leading to two linear equations in two variables.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve real-world and mathematical problems involving the four operations with rational numbers, using tools strategically.

Students can use proportional relationships to solve multistep ratio and percent problems.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can construct (freehand, with ruler and protractor, and with technology) triangles from three measures of angles or sides, and identify when the conditions determine a unique triangle, more than one triangle, or no triangle.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can use ratio reasoning to convert measurement units.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can calculate and use quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), to describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can use drawings and equations to model and solve word problems in situations involving equal groups, arrays, measurement, quantities, and scaled bar graphs requiring multiplication or division within 100.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can represent and solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.

Students can solve problems that require expressing measurements given in a larger unit in terms of a smaller unit within a single system of measurement.

Students can apply the area and perimeter formulas for rectangles in real world and mathematical problems.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can solve real-world and mathematical problems using the nets to find the surface area of three-dimensional figures.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can apply the properties of operation to generate or identify equivalent expressions.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve problems involving finding the whole, given a part and the percent.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use number lines and other models to express a whole number multiple of a/b as a whole number multiple of 1/b and use this understanding to multiply a fraction by a whole number.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can find probabilities of compound events using organized lists, tables, tree diagrams, and simulations.

Students can analyze, evaluate and generate explanations about their world by exploring the properties and relationships of points, lines, shapes, space, and the positions of figures.

Students can represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are rational numbers.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can apply the properties of integer exponents to generate equivalent numerical expressions, including numbers expressed in scientific notation.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can compare two decimals to thousandths and justify their conclusions based on meanings of the digits in each place.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can convert a rational number to a decimal, and a decimal to a rational number.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can fluently multiply multi-digit whole numbers using the standard algorithm.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve real-world and mathematical problems involving the four operations with rational numbers, using tools strategically.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use place value understanding to round multi-digit whole numbers to any place.

Students can compare two fractions with different numerators and different denominators and justify their conclusions by creating common numerators or common denominators; comparing to benchmark fractions; or using number lines and other models.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use place value understanding to round whole numbers to the nearest 10 or 100.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can solve real-world and mathematical problems involving the four operations with rational numbers, using tools strategically.

Students can use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can graph and compare proportional relationships, interpreting the unit rate as the slope of the graph.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Students can analyze, evaluate and generate explanations about their world by exploring the properties and relationships of points, lines, shapes, space, and the positions of figures.

Students can identify line-symmetric figures and draw lines of symmetry.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve word problems involving multiplication of a fraction by a whole number by using models and equations to represent the problem.

Students can analyze, evaluate and generate explanations about their world by exploring the properties and relationships of points, lines, shapes, space, and the positions of figures.

Students can identify line-symmetric figures and draw lines of symmetry.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve word problems involving addition and subtraction of fractions, including cases of unlike denominators, using models or equations.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale using technology.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can fluently add and subtract multi-digit whole numbers using the standard algorithm.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can add and subtract mixed numbers with like denominators, using strategies such as equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

Students can represent and solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can describe a sequence of rotations, reflections, and translations that exhibits the congruence between two congruent figures.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can solve unit rate problems using ratios of whole numbers, including those involving unit pricing and constant speed.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve two-step word problems using equations and the order of operations with any of the four operations using whole numbers and having whole number answers.

Students can use mathematics to analyze and evaluate historical, political, economic, scientific, and social problems and make conjectures about possible solutions.

Students can represent and solve one-step word problems operations involving time, mass, or volume within a single unit with any of the four operations using whole numbers and having whole number answers.

Students can collect and organize data to interpret, model, and investigate issues connected to their communities, lived experiences, and cultural identities.

Students can find the horizontal and vertical distances between two points on a graph.

Students can analyze, evaluate and generate explanations about their world by exploring the properties and relationships of points, lines, shapes, space, and the positions of figures.

Students can classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size, including right triangles.

Students understand that numbers hold value and can choose the appropriate representations and algorithms to reason quantitatively, abstractly, and efficiently.

Students can use a symbol to model an unknown number in equations representing problems with one or more of the four operations.