1 Measuring Up : Lesson 6 - In Your Shadow Resource Type: Lessons Discipline: Mathematics Grades: Grades 6–7 Professional Commentary: On a sunny day, students measure their height and the length of their shadow and use proportional reasoning to find the heights of various tall objects by measuring the lengths of the shadows of the objects. A recording sheet, questions for students, assessment options, and ideas for teacher reflection are included.... 2 Fit By Design or Design To Fit: Mechanical Drafter Designer Resource Type: Lessons Discipline: Mathematics Grades: Grades 8–12 Professional Commentary: Students use a carpenter's square and protractor to measure the sides and angles of several right triangles. To confirm their measurements, they then compute the size of selected sides and angles using (a) the Pythagorean Theorem and (b) trigonometric ratios.... 3 ODE Assessment Item, Grade 7: How Long Is the Shadow? Resource Type: Assessments Discipline: Mathematics Grades: Grade 7 Professional Commentary: Students use proportional reasoning to find the length of a shadow. This multiple-choice question is a sample item used in the 2007 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... 4 NAEP Assessment Item, Grade 12: Use Similar Triangles Resource Type: Assessments Discipline: Mathematics Grades: Grades 5–10 Professional Commentary: Students must find the length of a line segment in a triangle using similar triangles. They have the option of using a calculator.... 5 NAEP Assessment Item, Grade 8: Find the Diagonal Measure of a TV Screen Resource Type: Assessments Discipline: Mathematics Grades: Grades 7–8 Professional Commentary: Students find the diagonal measurement of a TV screen, given its width and height. This multiple-choice question is a sample test item used in grades 8 and 12 in the 1990 National Assessment of Educational Progress (see About NAEP).... 6 NAEP Assessment Item, Grade 12: Find Side Length Given Similar Triangles Resource Type: Assessments Discipline: Mathematics Grades: Grades 7–10 Professional Commentary: Students must find the length of one side of a triangle using similar triangles. They have the option of using a calculator.... 7 Mirror, Mirror: Math Challenge #9 Resource Type: Content Supports Discipline: Mathematics Grades: Grades 7–10 Professional Commentary: When you back away from a small wall mirror, do you see more of yourself? This site explores this counter-intuitive puzzle and several related questions.... |