Also MAFS.K12.MP.5.1 Assesses Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer Benchmark Students will use definite integrals to find the area between a function and the x-axis Clarification or between two curves. Content None Specified Limits Stimulus Items may be set in either real-world or mathematical context. Attributes Graphics may be used, as appropriate. Curves may be above or below the-axis. Students may also need to find points of intersections. Response Units will be given if applicable. Attributes Sample Item What is the area bound by the two curves? 0.111 0.222 0.333 0.444 Answer: C Reporting Calculus Category Standard Applications of Integration Benchmark MAFS.912.C.5.7 Number Benchmark Use definite integrals to find the volume of a solid with known cross-sectional area, including solids of revolution. Also MAFS.K12.MP.1.1 Assesses Item Selected Response (Multiple Choice), Gridded Response, Answer Benchmark Students will use definite integrals to find the volume of a solid (with known cross Clarification section, as well as solids of revolution). Content All solids of revolution problems will be solvable using the disc and washer method. Limits Finding the volume by cylindrical shells may be possible but will not be necessary.
Also Assesses MAFS.K12.MP.5.1 Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer Benchmark Clarification Students will use definite integrals to find the area between a function and the x-axis or between two curves. Content Limits None Specified Stimulus Attributes Items may be set in either real-world or mathematical context. Graphics may be used, as appropriate. Curves may be above or below the-axis. Students may also need to find points of intersections. Response Attributes Units will be given if applicable. Sample Item What is the area bound by the two curves? 0.111 0.222 0.333 0.444 Answer: C Reporting Category Calculus Standard Applications of Integration Benchmark Number MAFS.912.C.5.7 Benchmark Use definite integrals to find the volume of a solid with known cross-sectional area, including solids of revolution. Also Assesses MAFS.K12.MP.1.1 Item Selected Response (Multiple Choice), Gridded Response, Answer Benchmark Clarification Students will use definite integrals to find the volume of a solid (with known cross section, as well as solids of revolution). Content Limits All solids of revolution problems will be solvable using the disc and washer method. Finding the volume by cylindrical shells may be possible but will not be necessary.
calculus_-_mafs_version.docx