Find the midpoint between two given points; and find the endpoint of a line segment given the midpoint and one endpoint 13 HSG.GPE.B.6 Note: An extension of this standard would be to find the point on a directed line segment between two given points that partitions the segment in a given ratio. Use coordinates to compute perimeters of polygons and areas of triangles and rectangles HSG.GPE.B.7 13 Note: Examples should include, but are not limited using the distance formula and area of composite figures. Domain: Geometric measurement and dimension Cluster(s): 14. Explain volume formulas and use them to solve problems 15. Visualize relationships between two-dimensional and three-dimensional objects Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume and surface area of a cylinder, pyramid, and cone 14 HSG.GMD.A.1 For example: Use dissection arguments, and informal limit arguments. Cavalieri’s principle, (+) Give an informal argument using principle for the formulas for the volume of a sphere and other solid figures Cavalieri’s 14 HSG.GMD.A.2 14 Use volume formulas for cylinders, pyramids, cones, spheres, and to solve problems which may involve composite figures HSG.GMD.A.3
HSG.GPE.B.6 13 Find the midpoint between two given points; and find the endpoint of a line segment given the midpoint and one endpoint Note: An extension of this standard would be to find the point on a directed line segment between two given points that partitions the segment in a given ratio. HSG.GPE.B.7 13 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles Note: Examples should include, but are not limited using the distance formula and area of composite figures. Domain: Geometric measurement and dimension Cluster(s): 14. Explain volume formulas and use them to solve problems 15. Visualize relationships between two-dimensional and three-dimensional objects HSG.GMD.A.1 14 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume and surface area of a cylinder, pyramid, and cone For example: Use dissection arguments, Cavalieri’s principle, and informal limit arguments. HSG.GMD.A.2 14 (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures HSG.GMD.A.3 14 Use volume formulas for cylinders, pyramids, cones, spheres, and to solve problems which may involve composite figures
Geometry_2016.docx