231 NAEP Assessment Item, Grade 8: Reason About Betweenness Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 4–7 Professional Commentary: From two statements about relationships among three points, students must determine whether a stated conclusion is correct or not. They must explain their reasoning using a diagram.... 232 NAEP Assessment Item, Grade 8: Reason to Maximize Difference Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 3–5 Professional Commentary: Students must reason about the placement of digits to maximize the answer to a subtraction problem. They must explain their reasoning using drawings, words, and numbers.... 233 NAEP Assessment Item, Grade 8: Compare Areas of Two Shapes Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 3–8 Professional Commentary: Students are asked to determine the relative areas of a square and a right triangle whose heights are the same but in which the base of the triangle is twice as long as the side of the square; students must explain their reasoning in words or pictures. This constructed-response question is a sample test item used in grades 4, 8, and 12 in the 1996 National Assessment of Educational Progress (see About NAEP).... 234 NAEP Assessment Item, Grade 8: Compare Perimeters of Two Shapes Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: Students use physical copies of a square and two right triangles to determine which has the longest perimeter. They must explain their answer.... 235 NAEP Assessment Item, Grade 8: Use Division and Subtraction Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 3–5 Professional Commentary: Students must find the remainder when 65 is divided by 15. They have the option of using a calculator.... 236 NAEP Assessment Item, Grade 8: Subtract Integers Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: Students must find the difference in height between the top of a mountain and a point below sea level. They have the option of using a calculator.... 237 NAEP Assessment Item, Grade 8: Recognize Best Unit of Measurement Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 3–8 Professional Commentary: Students select from among metric and English units the best unit for measuring plant growth every other day. They have the option of using a calculator.... 238 NAEP Assessment Item, Grade 8: Use Percent Increase Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: This item asks students to distinguish between absolute and relative increase and explain how these ideas are reflected in a problem context. They have the option of using a calculator.... 239 NAEP Assessment Item, Grade 8: Find Volume of Cylinder Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: Students find the volume of a cylinder to the nearest cubic inch, given the radius and height and the formula for the volume. They have the option of using a calculator.... 240 NAEP Assessment Item, Grade 8: Compare Rates of Speed Resource Type: Assessment Resource Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: Students must compare two rates of speed that appear to be different but which are, in fact, the same. They must explain their reasoning, and they have the option of using a calculator.... |