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8 Assessment Guide for Educators: Mathematical Reasoning Chapter 1: Assessment Targets Common Core State Standards References2 Quantitative Problem Solving Assessment Targets Content Indicators Range of Depth of Knowledge (DOK)3 7 .G.4 Q.4.b Compute the area and circumference of circles. Determine the radius or diameter when given area or circumference 1-2 6.EE.2; 7 .G.6 Q.4.c Compute the perimeter of a polygon. Given a geometric formula, compute the area of a polygon. Determine side lengths of the figure when given the perimeter or area. 1-2 6.EE.2; 7 .G.6; 8.G.9 Q.4.d Compute perimeter and area of 2-D composite geometric figures, which could include circles, given geometric formulas as needed. 1-2 8.G.7 Q.4.e Use the Pythagorean theorem to determine unknown side lengths in a right triangle. 1-2 Q.5 Calculate dimensions, surface area, and volume of three-dimensional figures 6.EE.2; 7 .G.6; 8.G.9 Q.5.a When given geometric formulas, compute volume and surface area of rectangular prisms. Solve for side lengths or height, when given volume or surface area. 1-2 6.EE.2; 7 .G.6; 8.G.9 Q.5.b When given geometric formulas, compute volume and surface area of cylinders. Solve for height, radius, or diameter when given volume or surface area. 1-2 6.EE.2; 7 .G.6; 8.G.9 Q.5.c When given geometric formulas, compute volume and surface area of right prisms. Solve for side lengths or height, when given volume or surface area. 1-2 6.EE.2; 7 .G.6; 8.G.9 Q.5.d When given geometric formulas, compute volume and surface area of right pyramids and cones. Solve for side lengths, height, radius, or diameter when given volume or surface area. 1-2 6.EE.2; 8.G.9 Q.5.e When given geometric formulas, compute volume and surface area of spheres. Solve for radius or diameter when given the surface area. 1-2 6.EE.2; 8.G.9 Q.5.f Compute surface area and volume of composite 3-D geometric figures, given geometric formulas as needed. 1-2 Q.6 Interpret and create data displays 7 .RP .2; 3.MD.3 Q.6.a Represent, display, and interpret categorical data in bar graphs or circle graphs. 1-2 S-ID.1 Q.6.b Represent, display, and interpret data involving one variable plots on the real number line including dot plots, histograms, and box plots. 1-2 8.SP .1 Q.6.c Represent, display, and interpret data involving two variables in tables and the coordinate plane including scatter plots and graphs. 1-2 Q.7 Calculate and use mean, median, mode and weighted average 6.SP .3; S-MD.2 Q.7 .a Calculate the mean, median, mode and range. Calculate a missing data value, given the average and all the missing data values but one, as well as calculating the average, given the frequency counts of all the data values, and calculating a weighted average. 1-2 Q.8 Utilize counting techniques and determine probabilities S-CP .9 Q.8.a Use counting techniques to solve problems and determine combinations and permutations. 1-2 7 .SP .7; 7 .SP .8; S-CP .1; S-CP .2 Q.8.b Determine the probability of simple and compound events. 1-2 2 See the Common Core State State Standards for Mathematics at www.corestandards.org for more information on the reference codes listed in the column. 3 The Depth of Knowledge (DOK) levels correspond to Norman Webb’s (University of Wisconsin) Depth of Knowledge model for cognitive complexity