units (square feet). of the yard with the Calculates the area correct units (square of the yard using Finds the cost of the feet). sod. appropriate units as Finds the cost of the 313 ft2 or sod. 313 ft2. Finds the cost of the sod to be $203.84. The student finds the 3 The student is unable The student makes a The student finds the volume of the water to find the volume of calculation error in volume of the water that has overflowed the water that has finding the volume of that has overflowed to 5.MD.3 but is unable to explain overflowed and is the water that has be 1.1 L and uses the reasoning used. unable to explain the overflowed but is able words, numbers, and 5.MD.5 reasoning used. to clearly explain the pictures to clearly reasoning used. explain the reasoning used. A Progression Toward Mastery 4 The student does the The student is not able The student does one The student does two following: to draw an area model, of the following: of the following: Accurately partitions provide an explanation Accurately partitions Accurately partitions 5.NF.4b the area model in of Jim’s error, or give the area model in the area model in both dimensions. 5.NF.6 the correct area. both dimensions. both dimensions. Provides a clear Provides a clear Provides a clear explanation of Jim’s explanation of Jim’s explanation of Jim’s error. error. error. Calculates the Calculates the Calculates the correct area of the correct area of the correct area of the rectangle as rectangle. rectangle. 8 1/8 in2. The student does the 5 The student is neither The student makes an The student calculates following: able to find the heights attempt to calculate the heights of towers of the towers nor able the towers’ heights but but makes a calculation Accurately calculates 5.MD.5 the heights of both to answer which tower makes errors in both error that causes an towers (8 inches). is taller. calculations. error in the Explains clearly that Explanation of determination of the the towers are equal reasoning used is taller tower. However, in height. unclear. the explanation of the reasoning used is clear.
units (square feet). Finds the cost of the sod. of the yard with the correct units (square feet). Finds the cost of the sod. Calculates the area of the yard using appropriate units as 313 ft2 or 313 ft2. Finds the cost of the sod to be $203.84. 3 5.MD.3 5.MD.5 The student is unable to find the volume of the water that has overflowed and is unable to explain the reasoning used. The student finds the volume of the water that has overflowed but is unable to explain the reasoning used. The student makes a calculation error in finding the volume of the water that has overflowed but is able to clearly explain the reasoning used. The student finds the volume of the water that has overflowed to be 1.1 L and uses words, numbers, and pictures to clearly explain the reasoning used. A Progression Toward Mastery 4 5.NF.4b 5.NF.6 The student is not able to draw an area model, provide an explanation of Jim’s error, or give the correct area. The student does one of the following: Accurately partitions the area model in both dimensions. Provides a clear explanation of Jim’s error. Calculates the correct area of the rectangle. The student does two of the following: Accurately partitions the area model in both dimensions. Provides a clear explanation of Jim’s error. Calculates the correct area of the rectangle. The student does the following: Accurately partitions the area model in both dimensions. Provides a clear explanation of Jim’s error. Calculates the correct area of the rectangle as 8 1/8 in2. 5 5.MD.5 The student is neither able to find the heights of the towers nor able to answer which tower is taller. The student makes an attempt to calculate the towers’ heights but makes errors in both calculations. Explanation of reasoning used is unclear. The student calculates the heights of towers but makes a calculation error that causes an error in the determination of the taller tower. However, the explanation of the reasoning used is clear. The student does the following: Accurately calculates the heights of both towers (8 inches). Explains clearly that the towers are equal in height.