# Grade 5 Math Performance Rubric

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1 5 Grade 5 Math Performance Rubric Math Content Areas Operations and Algebraic Thinking Numbers and Operations in Base Ten Numbers and Operations Fractions Measurement and Data Geometry

2 Operations and Algebraic Thinking Writes and interprets numerical expressions (5.OA. & 5.OA.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets brace, bracket, calculation, evaluate, express, expression, simplify, numerical, parentheses, symbol, sum, difference, product, quotient. Evaluate expressions with parentheses, brackets, or braces (5.OA.) Write verbally-expressed calculations using symbols (for example, expressing add eight and seven, then multiply by two as x [8 + 7] (5.OA.) Interpret numerical expressions without evaluating them (for example, x [8 + 9] is three times as large as 8 + 9) (5.OA.) Meets and extend Create and solve real-world scenarios to represent an expression. Evaluate expressions with exponents.

3 Operations and Algebraic Thinking Analyzes patterns and relationships (5.OA.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets number sequence, corresponding terms, coordinate grid, y-axis, x-axis, origin, ordered pair, x-coordinate, y-coordinate. generate two numerical patterns using two given rules (5.OA.) identify relationships between corresponding terms (5.OA.) form ordered pairs consisting of corresponding terms from the two patterns terms (5.OA.) graph the ordered pairs on a coordinate plane (5.OA.) Extends graphing of patterns into all 4 quadrants.

4 Numbers and Operations in Base Ten Recognizes and explains patterns in the place value system (5.NBT. & 5.NBT.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, limited progress or is unable to perform at a Progressing or Meets base-ten numeral, digit, place value, exponent, powers of 0, base, value success at a Meets Recognize a digit in one place represents 0 times or /0 of the value of the place next to it. (5.NBT.) Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 0. (5.NBT.) Use whole-number exponents to denote powers of 0. (5.NBT.) Independently and consistently able to Develops a rule for the placement of decimals when multiplied or divided in a multi-step problem.

5 Numbers and Operations in Base Ten Reads, writes, compares and rounds decimals to the thousandths (5.NBT. & 5.NBT.4) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets decimal point, place value, tenths, hundredths, thousandths, rounding, estimate, less than <, greater than >, equal to, equivalent decimals, whole number. Read and write decimals to the thousandths using base-ten numerals. (5.NBT.) Read and write decimals to the thousandths using number names. (5.NBT.) Read and write decimals to the thousandths using expanded form. (5.NBT.) Compare two decimals to the thousandths using >, =, and < symbols to record the comparisons. (5.NBT.) Round decimals to any place using place value understanding. (5.NBT.4) Reads, writes, compares, and rounds decimals beyond the thousandths.

6 Numbers and Operations in Base Ten Multiplies with multi-digit whole numbers (5.NBT.5) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets recognize and recall specific vocabulary, such factor, product, compute, evaluate, algorithm, commutative property, reasonableness, estimate, annex zero, multiplier, partial products, equation OR with teacher prompting and support the student will have success at a Meets Fluently multiply three-digit factors by two-digit factors using the standard algorithm (5.NBT.5) independently and Can multiply by three-digit multipliers or more.

7 Numbers and Operations in Base Ten Divides with multi-digit whole numbers (5.NBT.6) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets dividend, divisor, quotient, estimate, reasonableness, remainder, inverse, compute, evaluate, equation OR with teacher prompting and support the student will have success at a Meets Divide whole numbers up to two-digit divisors and four-digit dividends using strategies based on place value. (5.NBT.6) Illustrate and explain the calculation using equations, rectangular arrays and/or area models. (5.NBT.6) independently and Can divide whole numbers by three-digit or more divisors.

8 Numbers and Operations in Base Ten Performs operations with decimals to the hundredths (5.NBT.7) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets compatible numbers, reasonableness, commutative property of addition, place value, underestimate, overestimate, algorithm, partial product, variable addends, sum, difference, vertical, horizontal, annex zero factors, product, divisor, dividend, quotient. Add, subtract, multiply, and divide decimals to the hundredths using concrete models/drawings and strategies based on place value and/or properties of operations. (5.NBT.7) Relate the strategy to a written method and explain the reasoning used. (5.NBT.7) Add, subtract, multiply, and divide decimals to the thousandths or greater.

9 Numbers and Operations Fractions Uses equivalent fractions as a strategy to add and subtract fractions (5.NF.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets recognize and recall specific vocabulary, such numerator, denominator, equivalent fraction, improper fraction, mixed number, factor, sum, difference OR with teacher prompting and support the student will have success at a Meets Add and subtract fractions with unlike denominators (including mixed numbers) by using equivalent fractions. (5.NF.) independently and cognitively beyond. Supplies the missing addend or subtrahend in problems involving mixed numbers with unlike denominators.

10 Numbers and Operations Fractions Solves word problems involving addition and subtraction of fractions (5.NF.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets numerator, denominator, equivalent fraction, improper fraction, mixed number, factor, sum, difference, estimate, reasonable. Solve word problems involving adding and subtracting fractions and mixed numbers including unlike denominators. (5.NF.) Use benchmark fractions to estimate computations and check for reasonableness of answers. (5.NF.) Creates and solves real-world scenarios involving adding and subtracting mixed numbers with unlike denominators.

11 Numbers and Operations Fractions Applies previous understandings of multiplication and division of fractions (5.NF., 5.NF.4 & 5.NF.7) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets numerator, denominator, equivalent fraction, improper fraction, mixed number, factor, product, quotient, reciprocal, dividend, divisor, unit fraction. Interpret a fraction as division of the numerator by the denominator (a/b = a b). (5.NF.) Solve word problems involving division of whole numbers leading to answers in the fraction and mixed number form. (5.NF.) Multiply fractions by whole numbers using visual fraction models and sequence of operations. (5.NF.4a) Multiply fractions using visual fraction models to find area. (5.NF.4b) Divide a unit fraction by a whole number and a whole number by a unit fraction (5.NF.7) Interpret division of a unit fraction by a non-zero whole Models division of a non-unit fraction by a whole number and a whole number by a non-unit fraction.

12 Numbers and Operations Fractions Extends previous understandings of multiplication and division of fractions (5.NF.5, 5.NF.6, & 5NF.7) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets numerator, denominator, equivalent fraction, improper fraction, mixed number, factor, product, quotient, reciprocal, dividend, divisor, unit fraction, greater than, less than. Compare the size of a product to the size of one factor based on the size of the second factor without multiplying. (5.NF.5a) Explain scaling using multiplication of fractions smaller than one whole and larger than one whole and how those factors affect the product. (5.NF.5b) Solve real world problems involving multiplication of fractions and mixed numbers using visual fraction models and equations. (5.NF.6) Solve real world problems involving division of unit fractions and whole numbers by using visual fraction models and equations. (5.NF.7c Applies understanding of the relationship between fractions and decimals to the meeting criteria.

13 Measurement and Data Converts like measurement units within a given measurement system (5.MD.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets units of length, units of capacity, units of mass, convert, metric system, customary system. Convert among different sized measurement units within a given measurement system (5.MD.) Use measurement conversions to solve multi-step word problems (5.MD.) Uses multiple unit conversions to solve real-world multi-step problems

14 Measurement and Data Represents and interprets data (5.MD.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets line plot, number line, category, frequency, data, outlier. Make a line plot to display a set of measurements in fractions of a unit (½, ¼, ⅛) including mixed numbers. (5.MD.) Use fractional operations to solve problems involving information from line plots. (5.MD.) Extends line plot measurements to include intervals other than ½, ¼, ⅛.

15 Measurement and Data Solves problems involving volume concepts (5.MD. & 5.MD.4 & 5.MD.5) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets formula, volume, composite figure, gaps and overlaps, three-dimensional figure, cubic unit, unit cube, rectangular prism, length, width, height, base, area, layer OR with teacher prompting and support the student will have success at a Meets Solve real world and mathematical problems involving volume: explain volume as the space an object takes up, composed of unit cubes with no gaps or overlaps (5.MD.) count unit cubes-with no gaps or overlaps (5.MD.4) relate the counting of unit cubes to side length dimensions that can be used to multiply edge lengths or layering areas. (5.MD.5a) apply the formulas (V=l w h and V=B h) (5.MD.5b) find the additive volume of composite D figures. (5.MD.5c) Determines volume of rectangular prisms with fractional or decimal dimensions.

16 Geometry Graphs points on the coordinate plane to solve real-world and mathematical problems (5.G. & 5.G.) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets coordinate grid, y-axis, x-axis, origin, ordered pair, x-coordinate, y-coordinate. Define the coordinate system using perpendicular lines, called axes and the intersection as the origin. (5.G.) Graph points in the first quadrant of the coordinate plane. (5.G.) Represent real world and mathematical problems by graphing points in the first quadrant. (5.G.) Interpret coordinate values of points in the context of real world problems. (5.G.) Develops ordered pairs to design a four-quadrant image.

17 Geometry Classifies two-dimensional figures into categories based on their properties (5.G. & 5.G.4) Trimester : Needs Improvement : Progressing : Meets 4: Excels support, the student will make limited progress or is unable to perform at a Progressing or Meets classify, hierarchy, properties/attributes, equilateral, isosceles, right, acute, obtuse, parallel, congruent, adjacent, polygon, quadrilateral, parallelogram, rhombus, square, rectangle, trapezoid. Describe the properties of twodimensional figures as attributes belonging to a category also belong to all subcategories of that category. (5.G.) Classify two- dimensional figures in a hierarchy based on properties. (5.G.4) Designs a plan to investigate based on the hierarchy of properties of two-dimensional figures.

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