Grade 6 Math Proficiency Scale Quarter 1

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1 Number Systems Geometry Grade 6 Math Proficiency Scale Quarter 1 1 = Novice 2 = Partially Proficient partial proficient the partially proficient(2) standard partial proficient start the Computes quotients of fractions by using visual models and equations to represent the problems. (6.NS.1) Finds greatest common factor ( 100) and least common multiple ( 12) for two whole numbers. (6.NS.4) Finds the area of right triangles, other triangles, and special quadrilaterals by composing into rectangles or decomposing into triangles or other shapes. (6.G.1) analyze, plan, progress on math problems AND makes one attempt to solve a problem. 3 = Meeting problems involving the division of fractions by fractions and interprets the quotient in the context of the problem, including those that involve mixed numbers. (6.NS.1) Uses the distributive property to express a sum of two whole numbers between one and 100 with a common factor as a multiple of a sum of two whole numbers with no common factor. (6.NS.4) problems involving area of polygons by composing into rectangles or decomposing into triangles or other shapes. (6.G.1) Analyzes, plans, monitors, and evaluates progress on math problems AND makes Solves multi-steps realworld problems involving the division of fractions by fractions and interprets the quotient in the context of the problem, including those that involve mixed numbers. Uses the distributive property to express a sum of three or more whole numbers between one and 100 with a common factor as a multiple of a sum of two whole numbers with no common factor. Informally explains how to derive the formulas for a triangle, trapezoid AND parallelogram. Attend to Precision Construct Argument & Critique Reasoning AND/OR reasoning without using math vocabulary to support their statement. vocabulary and units AND calculates with basic communicate vocabulary and units AND calculates with little or no basic computations error. Quarter 1 Proficiency Scale pg. 1

2 Ratio & Proportional Reasoning Grade 6 Math Proficiency Scale Quarter 2 1 Novice 2 = Partially Proficient 3 = Meeting Recognizes or recalls specific vocabulary, such as equivalent, rate, ratio, unit rate (6.RP.1) Recognizes multiple equivalent representations of ratios (example: 1:2, 1 to 2, 1/2) (6.RP.2) Uses ratio language to describe a ratio relationship between two quantities including part to part and part to whole ratios (6.RP.1) Uses unit rates to describe a ratio relationship. (6.RP.2) problems involving equivalent ratios, unit rates, and percents Uses multiple representations of proportional relationships to justify reasoning. Geometry Number Systems start the Finds the volume of a right rectangular prism by packing it with unit cubes of the appropriate fractional edge length. (6.G.2) AND represents threedimensional figures using nets made up of rectangles and triangles. (6.G.4) Fluently divides multi-digit numbers using strategies flexibly including the standard algorithm. (6.NS.2) AND fluently adds, subtracts, multiplies, and divides multi-digit decimals using strategies flexibly including the standard algorithm for each operation. (6.NS.3) analyze, plan, progress on math problems AND makes one attempt to solve a problem. Uses nets to find the surface area of right rectangular and right square pyramids in real-world problems (6.G.4) AND applies the formulas V = lwh and V = Bh to find the volume of right rectangular prism with fractional edge lengths in the context of solving real-world and mathematical problems. (6.G.2) problems involving one operation of multi-digit decimals. (6.NS.3) Analyzes, plans, monitors, and evaluates progress on math problems AND makes Finds the volume of a right non-rectangular prism with fractional edge lengths. Solves multi-step realworld problems involving two or more operations of multi-digit decimals. Attend to Precision communicates work and reasoning using math vocabulary and units AND calculates with basic calculates with little or no basic computations error. Quarter 2 Proficiency Scale pg. 1

3 Construct Argument & Critique Reasoning AND/OR reasoning without using math vocabulary to support their statement. communicate Quarter 2 Proficiency Scale pg. 2

4 Ratios & Proportional Reasoning Grade 6 Math Proficiency Scale Quarter 3 1 Novice 2 = Partially Proficient 3 = Meeting Recognizes or recalls specific vocabulary, such as equivalent, rate, ratio, unit rate (6.RP.1) AND uses ratio language to describe a ratio relationship between two quantities including part to part and part to whole ratios (6.RP.1) Recognizes multiple equivalent representations of ratios (example: 1:2, 1 to 2, 1/2) (6.RP.2) AND uses unit rates to describe a ratio relationship. (6.RP.2) problems involving equivalent ratios, unit rates, and percents Uses multiple representations of proportional relationships to justify reasoning. Uses proportional relationships to solve multi-step ratio and percent problems. Equations and Expressions start the Writes expressions involving exponents, numbers, and letters standing for numbers (6.EE.1 & 2a) AND identifies parts of an expression using mathematical terms (6.EE.2b) Identifies when two expressions are equivalent(6.ee.4) Uses substitution to determine whether a given number makes an equation or inequality true (6.EE.5) AND uses variables to represent numbers and write expressions (6.EE.6) analyze, plan, progress on math problems AND makes one attempt to solve a problem. Evaluates expressions at specific values of their variables including wholenumber exponents (6.EE.1 & 2c) Applies the properties of operations to generate equivalent expressions (6.EE.3) and mathematical one-step equations of the form x + p = q and px = q when all variables are nonnegative, rational numbers (6.EE.7) Analyzes, plans, monitors, and evaluates progress on math problems AND makes Apply properties of operations as strategies to add, subtract, factor and expand linear expressions with rational coefficients. problems leading to two-step equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Quarter 3 Proficiency Scale pg. 1

5 Attend to Precision Construct Argument & Critique Reasoning AND/OR attempts to critique the reasoning without using math vocabulary to support their statement. communicates work and reasoning using math vocabulary and units AND calculates with basic communicate calculates with little or no basic computations error. Quarter 3 Proficiency Scale pg. 2

6 Number Systems Expressions & Equations Grade 6 Math Proficiency Scale Quarter 4 1 Novice 2 = Partially Proficient 3 = Meeting Finds and positions rational numbers, including integers, on a number line (6.NS.6c) Uses positive and negative numbers to represent qualities in real-world context explaining the meaning of zero in each situation (6.NS.5) AND recognizes opposite signs of numbers as indicating location on opposite sides of 0 on the number line (6.NS.6a) AND interprets statements of inequalities as statements about the relative position of two numbers on a number line diagram. (6.NS.7a) Finds and positions rational numbers, including integer, on the coordinate plane. (6.NS.6) AND understands signs of numbers in order pairs as indicating location in quadrants of the coordinate plane; recognizes that when two ordered pairs differ only by signs, the location of the points are related by reflection across one or both axes. (6.NS.6b) Represents solutions of inequalities on number line diagrams (6.EE.8) Writes an equation to express one quantity (dependent variable) in terms of the other quantity (independent variable). (6.EE.9) Writes, interprets, and explains statements of order for rational numbers in real-world context (6.NS.7b) Interprets absolute value as a magnitude for a positive and negative quantity in a real-world situation (6.NS.7c) AND Distinguishes comparisons of absolute values from statements about order. (6.NS.7d) Uses coordinates and absolute value to find the distances between points with the same first coordinate or the same second coordinate. (6.NS.8) AND graphs points (including rational numbers) in all four quadrants of the coordinate plane to solve real-world and mathematical problems. (6.NS.6, 6.NS.8) Writes an inequality of the form x > c or x < c to represent a constraint or condition of a real-world or mathematical problem (6.EE.8) Analyzes the relationship between the independent and dependent variable using graphs, tables, and equations. (6.EE.9) Explains how to and find the sum of any two rational numbers using a number line. Explains how to and find the sum of any two rational numbers using a number line AND explains how to and find the sum of any two rational numbers using a number line. solves real-world problems leading to equations of the form px + q > r and px + q < r, where p, q, and r are specific rational numbers. Quarter 4 Proficiency Scale pg. 1

7 Statistics Geometry start the start the Describes the distribution of a set a data by center, spread, and overall shape (6.SP.2) AND displays numerical data on a histogram and a box plot (6.SP.4) AND describes surface features of numerical data sets (for example, number of observations, how the attributes were measured, units of measure) (6.SP.5a & b) Draws polygons on the coordinate plane given the coordinates for the vertices AND uses coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. (6.G.3) analyze, plan, progress on math problems AND makes one attempt to solve a problem. Calculates quantitative measures of center (median, mean) and variability (interquartile range, mean absolute deviation) (6.SP.5c) AND describes patterns and deviations from patterns in the data (6.SP.5c) AND chooses the appropriate measure of center and variability based on the shape of the data distribution and the context in which the data is gathered (6.SP.5d) problems by drawing polygons on coordinate planes and finding lengths of side. (6.G.3) Analyzes, plans, monitors, and evaluates progress on math problems AND makes Draws multiple inferences about the measures of center and variability when comparing two different box plots or histograms. Attend to Precision Construct Argument & Critique Reasoning AND/OR reasoning without using math vocabulary to support their statement. calculates with basic communicate calculates with little or no basic computations error. Quarter 4 Proficiency Scale pg. 2

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