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49 Assessment Guide for Educators: Mathematical Reasoning Appendix C Reporting Category 2 - Quantitative problem solving in measurement 20% Q.4 .a Compute the area and perimeter of triangles and rectangles. Determine side lengths of triangles and rectangles when given area or perimeter. Q.4.b Compute the area and circumference of circles. Determine the radius or diameter when given area or circumference 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. Q.4.d Compute perimeter and area of 2-D composite geometric figures, which could include circles, given geometric formulas as needed. Q.4.e Use the Pythagorean theorem to determine unknown side lengths in a right triangle. 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. 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. 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. 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. Q.5.e When given geometric formulas, compute volume and surface area of spheres. Solve for radius or diameter when given the surface area. Q.5.f Compute surface area and volume of composite 3-D geometric figures, given geometric formulas as needed. Q.6 .a Represent, display, and interpret categorical data in bar graphs or circle graphs. Q.6.b Represent, display, and interpret data involving one variable plots on the real number line including dot plots, histograms, and box plots. Q.6.c Represent, display, and interpret data involving two variables in tables and the coordinate plane including scatter plots and graphs. 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. Q.8 .a Use counting techniques to solve problems and determine combinations and permutations. Q.8.b Determine the probability of simple and compound events.