Students will build on experiences with angles & triangles and construct familiar geometric figures. Students will use a compass and a straightedge and use these techniques to construct tirangles Students will use relationships of angles to write and solve equations to find unknown values.. Students will use what they know about polygons and polyhedra to discribe and name cross-sections of right rectangular prisms and pyraminds.Students will build on knowledge of volume and surface area to solve problems involving 3d solids
Standards Mathematics 7th Grade Geometry ( Constructing and Measuring)
- MGSE7.G.2 Explore various geometric shapes with given conditions. Focus on creating triangles from three measures of angles and/or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
- MGSE7.G.3 Describe the two-dimensional figures (cross sections) that result from slicing three dimensional figures, as in plane sections of right rectangular prisms, right rectangular pyramids, cones, cylinders, and spheres
- MGSE7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
- MGSE7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.