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Grade 4 Geometry & Measurement Name___Answer Key_______ Story- The Grade 4 students have an outside play area (see below). 45 ft 20 ft 20 ft 45 ft 1) The girls say that the boys take up too much space with their ball games. They want the area to be split into two equal parts. Show at least two different ways how this can be done by drawing a straight line that divides the play area into two equal parts. one possible way second possible way third possible way fourth possible way The Grade 4 play area is 45 feet by 20 feet, and the Grade 3 play area is 40 feet by 25 feet. Whose play area is larger? 2) Grade 4 play area equals (45)(20) = 900 square feet Grade 3 play area equals (40)(25) = 1000 square feet Grade 3 is larger. Explain your thinking. Possible response: To find the area of a rectangular space, use the area formula for a rectangle which is area equals length times width. Both areas have the same number of square feet, so the playgrounds cover the same area. Grade 4 Geometry & Measurement Scoring Guide 0 • Question 1 • Question 2 • Question 2 explanation Question 1 Score 1 2 No answer given or answer lacks connection to symmetry of rectangles. No answer given or answer lacks connection to comparing areas. • Correctly models one line of symmetry. • Correctly models at least two lines of symmetry. • • Correctly answers question (grade 3 is larger). No or poorly written explanation. • Compares area for each grade’s play space, but mistake is made calculating area of one or both play areas. Explanation is wellwritten, but not connected to problem related math work or answer. • Explanation is well written and connects to math work or answer. ____ / 2 Question 2 Score ____ / 2 Question 2 Explanation ____ / 2 Overall Score Name___Answer Key_______ ____ / 6