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Grade 4 Performance Task Module Overview Content Area Title Grade Level Problem Type Standards for Mathematical Practices Common Core State Standards SBAC Assessment Claims Task Overview Module Components Mathematics Birthday Plans Grade 4 Performance Task Mathematical Practice 2 (MP2): Reason abstractly and quantitatively. Mathematically proficient students: Make sense of quantities and their relationships in problem situations. Bring two complementary abilities to bear on problems involving quantitative relationships: o Decontextualize—to abstract a given situation and represent it symbolically; and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents) and o Contextualize— to pause as needed during the manipulation process in order to probe into the referents for the symbols involved). Use quantitative reasoning that entails creating a coherent representation of the problem at hand, considering the units involved, attending to the meaning of quantities (not just how to compute them) and knowing and flexibly using different properties of operations and objects. 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g.; by using drawings and equations with a symbol for the unknown number to represent the problem. 4.OA.3 Solve multi-step word problems posed with whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. 4.NOBT.6 Find whole-number quotients and remainders with up to four-digit remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Claim 2: Problem Solving—Target A-Question 1, Target C- Question 2 Claim 3: Communicating Reasoning—Target F-Question 4 Claim 4: Modeling and Data Analysis—Target A-Question 4 In this task students will solve problems about planning a birthday party and justify their thinking about their solutions. 1) Scoring Guide 2) Performance Task 4 3 2 1 10-11 points 8-9 points 6-7 points 5 or fewer points Total Points Scoring Rubric Birthday Plans Scoring Guide Description Credit for specific aspects of performance should be given as follows: 1. Student gives correct answer: Yes Student shows that 28 students will cost $224. Students can show a diagram or equation. Written explanation: Should include that the cost is less than the $300 budget. 2. Student gives correct answer: $124 Points Total Points 1 1 3 1 1 Student shows work. (This may include a diagram or equations: 22 x 8 = $176 and $300 – 176 = $124 3. Student gives correct answer: 22 stickers, 66 mini erasers, 44 sidewalk chalks Student has a diagram, equations, or drawings that match the answer: 2 1 1 4 3 22 X 1 =22, 22 X 3 = 66, 22 X 2 = 44 STICKERS MINI ERASERS SIDEWALK CHALK 4. Student gives correct answer: 6 parents Student has a correct diagram or equation: 23/4 = 5 r 3 or 5 cars of 4 kids and 1 car of 3 kids 1 2 1 TOTAL POINTS: (possible points = 11 points) 11