Ohio Resource Center

 Measurement Benchmark F, Grades 5-7, Mini-Collection The grades 5-7 Measurement Benchmark F: Analyze and explain what happens to area and perimeter or surface area and volume when the dimensions of an object are changed is one of the benchmarks most frequently tested on the 7th grade Ohio Achievement Assessment (OAA). The lesson materials and assessment items in this mini-collection support instruction related to this benchmark. (jk)

 Scaling Away (ORC#: 5283) Students will measure the dimensions of a can or box, multiply each dimension by a scale factor, and examine a model having the multiplied dimensions. Students will then compare the surface area and volume of the original object and the enlarged model. This lesson includes applets, links to examples, downloadable activity sheets, discussion questions, extensions, and suggestions for assessment. (author/sw)

 Shopping Mall Math 1: Parking at the Mall (ORC#: 4011) Using the recommendation that regular parking spaces at a mall should be 9'x12' and handicapped spaces (3% of the total) should be 15'x20,' students create parking spaces in the classroom and on the playground to develop a sense of area in square feet. They analyze how much the area changes as dimensions are increased. Introductory ideas of percent are also addressed, as students figure out how many of 5000 parking spaces need to be reserved for handicapped parking. A worksheet and suggested extensions are included. This lesson is based on an article that appeared in the January 1998 issue of Teaching Children Mathematics. (sw)

 Ideas with Food 2: A Brownie Bake (ORC#: 4225) Students do some mathematics in preparation for making brownies. They consider the inverse relationship between the base area of two different sizes of cake pans and the thickness of the same volume of batter poured into each pan. They also consider ways of cutting the brownies into various numbers of equal pieces by folding paper that matches the base of each pan. This lesson is based on an article that appeared in the February 1994 issue of Arithmetic Teacher. (author/sw)

 Tetrahedral Kites (ORC#: 7879) Each student constructs a tetrahedron and describes the linear dimensions, area, and volume using non-traditional units of measure. Four tetrahedra are combined to form a similar tetrahedron whose linear dimensions are twice the original tetrahedron. The area and volume relationships between the first and second tetrahedra are explored, and generalizations for the relationships are developed. A construction template, discussion questions, lesson extensions, suggestions for assessment, and prompts for teacher reflection are included. (author/sw)

 ODE Assessment Item, Grade 7: How Volume Changes When Dimensions Change (ORC#: 6654) Students must determine how much the volume of a box changes if the height is doubled and the width is tripled. This multiple-choice question is a sample item used in the 2005 Ohio Grade 7 Achievement Test (see Overview of Ohio's Assessment System). The URL link (above) takes the user directly to the test item (PDF), with access to performance data, complexity level of the item, and discussion of incorrect responses. This OAT item is also available in Microsoft® Word. The Ohio Department of Education Instructional Management System website allows visitors to search for test items by subject and grade band and build a printable database of questions using the Add to Your Backpack function. ODE Reference Information: 2005 Ohio Grade 7 Achievement Test for Mathematics, Annotated Item 44. (author/sw)

 ODE Assessment Item, Grade 7: Volume of Reduced Cylinder (ORC#: 12409) Students must describe what happens to the volume of a cylindrical barrel when the height is reduced by 2/3. This multiple-choice question is a sample item used in the 2006 Ohio Grade 7 Achievement Test (see Overview of Ohio's Assessment System). The URL link (above) takes the user directly to the OAT item (PDF), with access to performance data, complexity level of the item, and discussion of incorrect responses. The Ohio Department of Education Instructional Management System website allows visitors to search for test items by subject and grade band and build a printable database of questions using the Add to Your Backpack function. ODE Reference Information: 2006 Ohio Grade 7 Achievement Test for Mathematics, Annotated Item 22. (author/sw)

 ODE Assessment Item, Grade 7: Volume of Extended Pillow (ORC#: 12410) Students need to analyze and explain the effects that doubling the length versus doubling the diameter have on the volume of a circular cylinder. This extended-response question is a sample item used in the 2008 Ohio Grade 7 Achievement Test (see Overview of Ohio's Assessment System). The URL link (above) takes the user directly to the OAT item (PDF), with access to performance data, complexity level of the item, a complete solution of the problem, and a scoring rubric. The Ohio Department of Education Instructional Management System website allows visitors to search for test items by subject and grade band and build a printable database of questions using the Add to Your Backpack function. ODE Reference Information: 2008 Ohio Grade 7 Achievement Test for Mathematics, Annotated Item 26. (author/sw)