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Mathematics | Grade : 7
Domain - Geometry
Cluster - Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
[7.G.B.4.b] - Understand and describe the relationships among the radius, diameter, circumference and circumference of a circle.
[GEO.G-C.B.5] -
Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
[GEO.G-GMD.A.1] -
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
[GEO.G-MG.A.1] -
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
[GEO.G-MG.A.3] -
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*
[MII.G-C.B.5] -
Derive, using similarity, the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
[MIII.G-GMD.B.4] -
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
[MIII.G-MG.A.1] -
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
[MIII.G-MG.A.3] -
Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*