Sample Constructed-Response Item Grade 6 Math Hexagon Fountain Grade 6 6.G.A.03 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the CCSS same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. 2. Reason abstractly and quantitatively. Practice Standards 4. Model with mathematics. 6. Attend to precision. Shown below is a sample constructed-response item. This item involves a number of separate steps and the application of one or more practice standards. The constructed-response items are designed to assess one or more of the CCSS. The items are scored using an item-specific rubric on a scale of 0 to 4 points. A designer wants to create a fountain with a base shaped like a hexagon. Use the grid and information below to answer the questions. Part A Vertices P and Q of hexagon PQRSTU are shown on the grid. Graph and label the other four vertices of the hexagon on the grid. • R(11, 6) • S(6, 6) • T(3, 2) • U(0, 6) Part B What is the length of side PQ in units? Part C If each side of the fountain is the same length, what is the perimeter of the fountain? Show your work or explain your answer. Scoring Rubric 4 3 2 1 0 The student earns 4 points. The student earns 3 points. The student earns 2 points. The student earns 1 point OR demonstrates minimal understanding of the standard being measured. The student’s response is incorrect, irrelevant to the skill or concept being measured, or blank. Sample Answer Part A. graph and label the following points on the grid: R(11, 6), S(6, 6), T(3, 2), U(0,6) Part B. 5 units Part C. 30 units; 5 (length of side) × 6 (number of sides) = 30 Points Assigned Part A. • 2 points for graphing all 4 coordinate points correctly. (labeling not required) OR • 1 point for 2 or 3 correct coordinate points graphed. Part B. • 1 point for correct length. (“units” not required) Part C. • 1 point for perimeter with correct and complete explanation or work. (must provide both correct answer and explanation/work to earn the point)