Geometry

Resources
Suzanne Culbreath's website

6th Grade
Solve real-world and mathematical problems involving area, surface area, and volume
 * Area [6.G.1]
 * right triangles
 * other triangles
 * special quadrilaterals
 * polygons by composing into rectangles or decomposing into triangles and other shapes
 * apply these techniques in the context of solving real-world and mathematical problems.
 * Volume [6.G.2]
 * right rectangular prism
 * fractional edge lengths
 * count unit cubes
 * V = //lwh//
 * V = //bh//
 * context of solving real-world and mathematical problems
 * Coordinate plane [6.G.3]
 * Draw polygons given coordinates for vertices
 * Use coordinates of find side lengths
 * Surface area and Nets [6.G.4]
 * Represent 3D figures using nets
 * Use nets to find surface area

7th Grade
Draw, construct, and describe geometrical figures and describe the relationship between them. Solve real-world and mathematical problems involving angle measure, area, surface area, and volume.
 * Scale drawings [7.G.1]
 * Compute lengths and areas
 * Reproduce at a different scale
 * Draw geometric shapes [7.G.2]
 * Freehand, ruler and protractor, technology
 * Construct triangles from three measures of angles or sides
 * Notice when conditions determine a unique triangle, more than one triangle, or no triangle
 * Slicings [7.G.3]
 * Describe 2D figures that result from slicing 3D figures
 * Right rectangular prisms
 * Right rectangular pyramids
 * Circles [7.G.4]
 * Know formula for circumference and area
 * Informal derivation of the relationship between circumference and area
 * Angles [7.G.5]
 * Supplementary, complementary, vertical, adjacent
 * Use to solve equation for unknown angle
 * Solve problems 7.G.6]
 * Area, volume, surface area
 * 2D and 3D objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms

8th Grade
Understand congruence and similarity using physical models, transparencies, or geometry software. Understand and apply the Pythagorean Theorem Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
 * Verify properties of rotations, reflections, and translations [8.G.1]
 * Congruence and transformations [8.G.2]
 * Coordinates and dilations, translations, rotations, and reflections [8.G.3]
 * Similarity and transformations [8.G.4]
 * Informal arguments about [8.G.5]
 * angle sum
 * exterior angles of triangles
 * angles created when parallel lines are cut by a transversal
 * angle-angle criterion for similarity of triangles
 * Explain a proof of the Pythagorean Theorem and its converse 8.G.6]
 * Apply the Pythagorean Theorem to determine unknown side lengths in right triangles [8.G.7]
 * Apply the Pythagorean Theorem to find the distance between two points in a coordinate system [8.G.8]
 * Know the formula for volume of cylinders, cones, and spheres