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Formative Instructional and Assessment Tasks Making Roads 4.G.1 - Task 2 Domain Cluster Standard(s) Materials Task Geometry Draw and identify lines and angles, and classify shapes by properties of their lines and angles. 4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. Paper and pencil Student Task (below). Part One: The map below shows three towns (A, B, and C). A B C 1) Draw three roads that connect the 3 towns. The roads should include 1 line, 1 line segment, and 1 ray. 2) Make a town D so that the road between A and D is perpendicular to the road between C and D. 3) Make 2 more towns (E and F) and connect the towns with 1 line and 1 ray. One of the roads should be parallel to another road that you already have. Part Two: If you were in charge of the road system, and wanted to leave open the possibility of building more towns in the future, should most of your roads be line segments, lines, or rays? Level I Limited Performance More than 3 solutions are incorrect. Rubric Level II Not Yet Proficient Solutions are all correct but the sentence does not clearly and accurately describe the differences OR All but 3 solutions are correct. NC DEPARTMENT OF PUBLIC INSTRUCTION Level III Proficient in Performance Solutions: 1) The three roads between A, B, and C are line segments, lines, and rays. 2) D is in the correct place, 3) E and F are in the correct place. AND The sentence explains that lines would be best since they extend in both directions. FOURTH GRADE Formative Instructional and Assessment Tasks 1. 2. 3. 4. 5. 6. 7. 8. Standards for Mathematical Practice Makes sense and perseveres in solving problems. Reasons abstractly and quantitatively. Constructs viable arguments and critiques the reasoning of others. Models with mathematics. Uses appropriate tools strategically. Attends to precision. Looks for and makes use of structure. Looks for and expresses regularity in repeated reasoning. NC DEPARTMENT OF PUBLIC INSTRUCTION FOURTH GRADE Formative Instructional and Assessment Tasks Making Roads Part One: The map below shows three towns (A, B, and C). A B C 4) Draw three roads that connect the 3 towns. The roads should include 1 line, 1 line segment, and 1 ray. 5) Make a town D so that the road between A and D is perpendicular to the road between C and D. 6) Make 2 more towns (E and F) and connect the towns with 1 line and 1 ray. One of the roads should be parallel to another road that you already have. Part Two: If you were in charge of the road system, and wanted to leave open the possibility of building more towns in the future, should most of your roads be line segments, lines, or rays? NC DEPARTMENT OF PUBLIC INSTRUCTION FOURTH GRADE