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1 Roosevelt School District Report Card Rubric Math 6 th Grade Reporting : Understands ratios and uses ratios to solve problems. 6.RP.A [ to ] 6.RP.A. Describes ratios using basic language or notation. Identifies unit rates. Identifies ratio relationships from a graph, table, or verbal description. Knows the meaning of a percent of a quantity as a rate per hundred. Finds missing values in ratio tables and plots whole-number values from ratio tables on the coordinate plane. Describes the concept of ratio using a limited variety of representations. Determines a unit rate. Uses a limited variety of representations to solve ratio and unit rate problems involving whole numbers and to convert measurement units. Manipulates units appropriately when multiplying or dividing quantities. Finds missing values in tables of equivalent ratios and plots the pairs of values on the coordinate plane. Finds the percent of a quantity. Uses the concept of a ratio, ratio language, and ratio notation to describe a ratio relationship between two quantities in context. Uses the concept of unit rate associated with a ratio and rate language in the context of a ratio relationship. Uses ratio and rate reasoning to solve realworld and mathematical problems including the conversion of measurement units. Manipulates units appropriately when multiplying or dividing quantities. Makes tables of equivalent ratios, finds missing values in tables, and plots the pairs of values on the coordinate plane. Uses tables to compare ratios. Solves unit rate problems including those involving unit pricing and constant speed. Finds a percent of a quantity and solves problems involving finding the whole, given a part and the percent. Uses and connects representations for ratio situations and finds unit rates requiring multiple steps. Creates real-world problems including those involving percent or conversion of measurement units and applies ratio reasoning to solve them. Reporting : Uses understandings of multiplication and division to divide fractions by fractions. 6.NS.A. whole numbers by unit fractions using visual fraction models and equations. fractions by non-zero whole numbers and vice versa using visual fraction models and equations. fractions by fractions using visual fraction models and equations and interprets the solution in context. Solves word problems involving multi-step division problems involving mixed numbers and interprets the solution in context. 6 th Grade Math Rubric - Roosevelt School District June 06

2 Reporting : Computes fluently with multi-digit numbers and finds common factors and multiples. *reference your grade specific curriculum map for detailed expectations by trimester 6.NS.B. 6.NS.B. 6.NS.B. Finds whole number quotients and remainders where dividends are up to four digits and divisors are one digit using Adds, subtracts, and multiplies where decimals are limited to hundredths using Find the greatest common factor of two whole numbers less than or equal to 50 and the least common multiple of two whole numbers less than or equal to 0 using strategies including a visual model. Finds whole number quotients and remainders where dividends are up to four digits and divisors are two digits using Adds, subtracts, multiplies and divides decimals limited to hundredths using Find the greatest common factor of two whole numbers less than or equal to 50 and the least common multiple of two whole numbers less than or equal to 0. Fluently divides multi-digit whole numbers using the standard algorithm. Fluently adds, subtracts, multiplies and divides multi-digit decimals using the standards algorithm for each operation. Finds the GCF of two whole numbers less than or equal to 00 and the LCM of two whole numbers less than or equal to. Uses the distributive property to express a sum of two whole numbers 00 with a common factor as a multiple of a sum of two whole numbers with no common factor. Solves real-world problems by dividing multi-digit whole numbers using the standard algorithm and assesses the reasonableness of the result. Solves real-world problems by adding, subtracting, multiplying, and dividing multidigit decimals using the standard algorithm for each operation and assesses the reasonableness of the result. Interprets a context to construct an equivalent expression using the greatest common factor, least common multiple, and the distributive property. Reporting : Represents and solves problems involving rational numbers. 6.NS.C.5 Uses integers to represent quantities in realworld contexts. Uses integers to represent quantities in realworld contexts, explaining the meaning of 0 in each situation. Uses positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each. Creates real-world contexts for positive and negative numbers, explaining the meaning of 0 in each situation. 6.NS.C [6 to 8] and AZ.6.NS.C.9 Plots integers on a horizontal or vertical number line and integer pairs on a coordinate plane. Compares two numbers on a number line. Finds the absolute value of a rational number. Finds the distance between two points with the same first or second coordinate by counting spaces on a coordinate plane. rational numbers, including benchmark fractions and decimals. Plots rational numbers on a horizontal or vertical number line and rational pairs on a coordinate plane. Compares rational numbers including absolute value. Finds the distance between two points with the same first or second coordinate. rational numbers, including fractions and decimals. Plots rational numbers on a horizontal or vertical number line and rational pairs on a coordinate plane. Compares rational numbers including absolute value and distinguishes comparisons of absolute value from statements about order. Finds the distance between points with the same first or second coordinate. rational numbers, including fractions, decimals, and percents. Solves real-world problems involving the coordinate plane and absolute values. rational numbers in contextual situations. 6 th Grade Math Rubric - Roosevelt School District June 06

3 Reporting : Represents and applies operations to algebraic expressions. 6.EE.A [ to ] Recognizes exponential notation as repeated multiplication. Identifies an expression that matches a written statement. Evaluates simple expressions. Identifies when two simple expressions are equivalent. Evaluates expressions involving whole number exponents. Identifies an expression that matches a written statement. Identifies parts of an expression using mathematical terms. Applies the properties of operations to identify equivalent algebraic expressions. Writes, reads, and evaluates expressions in the conventional order involving whole number exponents. Identifies parts of an expression using mathematical terms; views one or more parts of an expression as a single entity. Applies the properties of operations to identify and generate equivalent algebraic expressions. Evaluates multi-step expressions and generates equivalent expressions involving rational numbers and whole number exponents in real-world contexts. Reporting : Solves one-variable equations and inequalities. 6.EE.B [5 to 8] determining which value(s) in a set makes an equation or inequality true. Solves equations of the form x + p = q and px = q, in which p, q and x are all whole numbers. Recognizes that inequalities of the form x<c and x>c have infinitely many solutions. determining which value(s) in a set makes an equation or inequality true. Solves equations of the form x + p = q and px = q. Identifies an inequality of the form x>c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognizes that inequalities of this form have infinitely many solutions and identifies number line diagrams that represent solutions of such inequalities. determining which value(s) in a set makes it true. Solves real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q. Writes an inequality of the form x>c or x<c to represent a constraint or condition in a realworld or mathematical problem. Recognizes that inequalities of this form have infinitely many solutions and represents solutions of such inequalities on a number line diagram. Creates a set of values that make an equation or inequality true, and creates a real-world situation that corresponds to a given equation or inequality. Reporting : Represents and analyzes quantitative relationships between dependent and independent variables. 6.EE.C.9 Identifies an algebraic equation that represents the relationship between two quantities in a graph or table. Identifies the dependent and independent variables given a graph or table and creates an equation to represent the relationship between these quantities. Writes an equation to express the relationship between the dependent and independent variables in a real-world problem. Analyzes the relationship between the variables using graphs and tables, and relates these to the equation. Creates a real-world context using dependent and independent variables. 6 th Grade Math Rubric - Roosevelt School District June 06

4 Reporting : Solves problems involving area, surface area, and volume. 6.G.A. Finds the area of triangles and other polygons given all the measurements by composing into rectangles or decomposing into triangles and other shapes. Finds the area of triangles and other polygons given some measures by composing into rectangles or decomposing into triangles and other shapes. Finds the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and Solves multi-step real-world area problems involving polygons that have decimal and fractional measurements. 6.G.A. 6.G.A. 6.G.A. prism with whole number edge lengths by packing it with unit cubes and shows that the volume is the same as would be found by multiplying the edge lengths of the prism. rectangular prisms with whole number edge lengths. given coordinates for the vertices. Represents three dimensional figures using nets comprised of rectangles and triangles. prism with one fractional edge, by packing it with unit cubes of the appropriate unit fraction edge lengths, and shows that the volume is the same as would be found by multiplying the edge lengths of the prism. rectangular prisms with one fractional edge length. given coordinates for the vertices; uses coordinates to find the length of a side joining points with the same first or second coordinate. Represents three-dimensional figures using nets made up of rectangles and triangles, and uses the nets to find the surface are of these figures. prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and shows that the volume is the same as would be found by multiplying the edge lengths of the prism. rectangular prisms with fractional edge lengths in the context of solving real-world and given coordinates for the vertices; uses coordinates to find the length of a side joining points with the same first or second coordinate. Applies these techniques in the context of solving real-world and Represents three-dimensional figures using nets made up of rectangles and triangles, and uses the nets to find the surface are of these figures. Applies these techniques in the context of solving real-world and Finds a missing side length of a right rectangular prism given a volume and all but one fractional side length. given coordinates for some of the vertices and constraints (perimeter, area, side lengths). Uses coordinates to find the length of a side joining points with the same first or second coordinate. Applies these techniques in the context of solving realworld problems. Determine the unknown dimension of a -D figure given the surface area, net, and all but one dimension of the figure. 6 th Grade Math Rubric - Roosevelt School District June 06

5 Reporting : Recognizes the changes in data and data sets. *reference your grade specific curriculum map for detailed expectations by trimester 6.SP.A [ to ] Recognizes a statistical question from a list of questions. Identifies a graph given a data set or vice versa, and recognizes mean, median, and mode as a measure of center and range as a measure of variation. Changes a question from being nonstatistical to statistical Demonstrates that a set of data collected to answer a statistical question has a distribution that can be described by its measure of center and spread, and determines mean, median, mode, and range. Recognizes a statistical question as one that anticipates variability. Describes a set of data collected to answer a statistical question by its center, spread, and overall shape. Recognizes that that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. Creates a statistical question given a context. Creates a data set with a given measure of center and/or spread and/or overall shape, and determines how additional data points impact the measure of center and/or spread and/or overall shape. Reporting : Summarizes and describes data sets. 6.SP.B [ to 5] Identifies an appropriate display for numerical data including dot plots, histograms, and box plots. Summarizes data from a line plot by counting the number of observations, determining the range, and /or a measure of center. Displays numerical data in plots on a number line, including dot plots, histograms, and box plots. Summarizes data from a line plot by counting the number of observations, determining the range, and/or a measure of center, and identifying outliers or other striking deviations. Displays numerical data in plots on a number line, including dot plots, histograms, and box plots. Summarize numerical data sets in relation to their context, such as by: a. Reporting the number of observations. b. Describing the nature of the attribute under investigation, including how it was measured and its units of measurement c. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. d. Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. Creates a histogram or box plot given a dot plot and creates a data set given a display. 6 th Grade Math Rubric - Roosevelt School District June 06 5

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