Resource Type: Lessons Discipline: Mathematics Grades: Grade 6 Professional Commentary: Students are presented with the problem of constructing a parachute that will have a maximum hang time. Working in pairs, students construct their own parachutes using the available materials.... Resource Type: Lessons Discipline: Mathematics Grades: Grade 6 Professional Commentary: Students engage in a hands-on activity that demonstrates the effects that pressure and friction exert on water flow. From this experience, students deduce some general principles that they then apply to a real problem: What size water pump do firefighters need to extinguish a blaze under certain specified conditions?... Resource Type: Lessons Discipline: Mathematics Grades: Grades 7–8 Professional Commentary: Students build a family of cylinders, all from the same-sized paper, and discover the relationship between the dimensions of the paper and the resulting cylinders. They order the cylinders by their volumes and draw a conclusion about the relationship between a cylinder's dimensions and its volume.... 4 Detective Slope - An Investigation of the Slopes of Lines and Shapes Resource Type: Lessons Discipline: Mathematics Grades: Grades 8–12 Professional Commentary: This learning unit is designed for students to investigate the definition of slope and the slopes of parallel and perpendicular lines. Students are introduced to special parallelograms by applying the concept of slope using Geometer’s Sketchpad®.... 5 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.... 6 NAEP Assessment Item, Grade 12: Complete a Table Resource Type: Assessments Discipline: Mathematics Grades: Grades 5–8 Professional Commentary: Students must find the area of a right triangle shown in a graph for four different lengths of one of its sides. This constructed-response question is a sample test item used in grade 12 in the 1992 National Assessment of Educational Progress (see About NAEP).... 7 NAEP Assessment Item, Grade 12: Find the Volume of a Right Circular Cylinder Resource Type: Assessments Discipline: Mathematics Grades: Grades 6–10 Professional Commentary: Students must find the volume of a right circular cylinder, given the formula for the volume and the radius and height of the cylinder. They have the option of using a calculator.... 8 NAEP Assessment Item, Grade 12: Find Distance Between 2 Points Resource Type: Assessments Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: Students must find the distance between two points in the xy-plane. They have the option of using a calculator.... 9 NAEP Assessment Item, Grade 8: Find Area of a Carpet Resource Type: Assessments Discipline: Mathematics Grades: Grades 4–8 Professional Commentary: Students find the area of a rectangular carpet, given its length and width. This multiple-choice question is a sample test item used in grades 4 and 8 in the 1992 National Assessment of Educational Progress (see About NAEP).... 10 NAEP Assessment Item, Grade 12: Use a Ruler to Find the Circumference of a Circle Resource Type: Assessments Discipline: Mathematics Grades: Grades 6–10 Professional Commentary: Students must find the circumference of a circle using a centimeter ruler and 3.14 as a value for pi. This constructed-response question is a sample test item used in grade 12 in the 1996 National Assessment of Educational Progress (see About NAEP).... |