<p> Formative Instructional and Assessment Tasks</p><p>Tiling the Patio 4.NF.1 - Task 6 Domain Number & Operations- Fractions Cluster Extend understanding of fraction equivalence and ordering. Standard(s) 4.NF.1 Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. Materials Paper, Pencil Task Covering the Patio Part 1: Cover the patio below with the same kind of tile. </p><p>Part 2: Now cover half of the patio. Complete the table below for how many tiles it would take to cover half of the tile. </p><p>Part 3: For one of the fractions above explain how multiplication can help you find equivalent fractions. </p><p>NC DEPARTMENT OF PUBLIC INSTRUCTION FOURTH GRADE Formative Instructional and Assessment Tasks</p><p>Rubric Level I Level II Level III Limited Performance Not Yet Proficient Proficient in Performance  The student has not shown a  Answer is correct, but the  Accurate solutions: Part 1: clear understanding about how explanation is unclear OR Each region is accurately to find equivalent fractions. work is logically shown but the partitioned into equal sections. student has made a calculation Part 2: Tile A: 12, 6, 6/12. Tile error. B: 6, 3, 3/6. Tile C: 4, 2, 2/4. Tile D: 8, 4, 4/8.  Part 3: The student writes something about, “Multiplying both the numerator and the denominator by the same number will result in an equivalent fraction.”. </p><p>Standards for Mathematical Practice 1. Makes sense and perseveres in solving problems. 2. Reasons abstractly and quantitatively. 3. Constructs viable arguments and critiques the reasoning of others. 4. Models with mathematics. 5. Uses appropriate tools strategically. 6. Attends to precision. 7. Looks for and makes use of structure. 8. Looks for and expresses regularity in repeated reasoning.</p><p>NC DEPARTMENT OF PUBLIC INSTRUCTION FOURTH GRADE Formative Instructional and Assessment Tasks Covering the Patio</p><p>Cover the patio below with the same kind of tile. Part 1: Tile A: It takes 12 tiles Tile B: It takes 6 tiles</p><p>Tile C: It takes 4 tiles Tile D: It takes 8 tiles</p><p>Part 2: Cover half of the patio. Complete the table below for how many tiles it would take to cover half of the tile. </p><p>Tile Tiles needed to Tiles needed to Fraction showing how much of the patio cover the whole cover half the is covered. patio. patio. 1 6 6 Tile = . of the patio is covered by tiles. A 2 12 12 Tile 1  B 2 Tile 1  C 2 Tile 1  D 2 Part 3: For one of the fractions above explain how multiplication can help you find equivalent fractions. </p><p>NC DEPARTMENT OF PUBLIC INSTRUCTION FOURTH GRADE</p>