1 Area Formulas: Finding the Area of Irregular Figures Resource Type: Lessons Discipline: Mathematics Grades: Grades 6–7 Professional Commentary: Students will estimate the areas of highly irregular shapes and will use decomposition to calculate the areas of irregular polygons. A sheet of regular polygonal shapes is provided to cut out and cover the irregular shapes.... 2 Using Cubes and Isometric Drawings 5: Finding Surface Area and Volume Resource Type: Lessons Discipline: Mathematics Grades: Grade 7 Professional Commentary: Students discover that solids with the same volume can have different surface areas, and solids with the same surface area can have different volumes. Using the isometric drawing tool, students build three-dimensional figures and find the surface area and volume of each figure.... Resource Type: Lessons Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: The Stomachion is an ancient tangram-type puzzle. Believed by some to have been created by Archimedes, it consists of 14 polygons (triangles, quadrilaterals, and pentagons) cut from a square.... 4 NAEP Assessment Item, Grade 8: Reason to Find Area of a Square Resource Type: Assessments Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: Students must find the area of a square, given the area of a triangle inscribed in the square. This multiple-choice question is a sample test item used in grade 8 in the 1992 National Assessment of Educational Progress (see About NAEP).... 5 ODE Assessment Item, Grade 10: Area of a composite design Resource Type: Assessments Discipline: Mathematics Grades: Grades 7–10 Professional Commentary: Students are asked to find the area of a rectangular flag not covered by a circular design. This multiple-choice question is a sample item used in the 2008 Ohio Graduation Test (see Overview of Ohio's Assessment System). The URL link (above) takes the user directly to the OGT test item (PDF), with access to performance data, complexity level of the item,... 6 ODE Assessment Item, Grade 7: Area of Shaded Portion Resource Type: Assessments Discipline: Mathematics Grades: Grade 7 Professional Commentary: Students must find the area of the shaded portion of a composite figure. 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... 7 ODE Assessment Item, Grade 7: Area of Composite Figure Resource Type: Assessments Discipline: Mathematics Grades: Grade 7 Professional Commentary: Students must find the area of a window that is a rectangle capped by a semi-circle. 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... 8 ODE Assessment Item, Grade 7: Area of Table Top Resource Type: Assessments Discipline: Mathematics Grades: Grade 7 Professional Commentary: Students must find the area of a trapezoidal table top. This multiple-choice 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, and discussion of incorrect responses.... 9 NAEP Assessment Item, Grade 8: Divide region in three different ways Resource Type: Assessments Discipline: Mathematics Grades: Grades 4–8 Professional Commentary: Given one subdivision for finding the area of an L-shaped room, students are asked to find three more subdivisions and explain how the area can be computed in each case. This constructed-response question is a sample test item used in grades 4, 8, and 12 in the 2003 National Assessment of Educational Progress (see About NAEP).... Resource Type: Content Supports Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: Reviewers liked the Estimator applet used in this lesson, which helps students estimate the area of an irregular figure to a desired level of accuracy. Students can estimate visually with or without the assistance of a grid.... |