Geometry

//This page contains links to projects aligned with Geometry CCSSs.//


 * 1) Teaching Mathematics through Origami **Grades 6-12** (Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures; 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; Verify experimentally the properties of rotations, reflections, and translations; Apply geometric methods to solve design problems)
 * 2) This New House **Grades 9-12** (Derive and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures; Compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders; Compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids; Determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids; Use the Pythagorean Theorem to determine distance and find missing lengths of sides of right triangles; Use trigonometric functions to solve for an unknown length of a side of a right triangle, given and angle and a length of side)
 * 3) Urban Art Project **Grades 9-12** (Prove that triangles are congruent or similar; Derive and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures; Compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders; Compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids; Use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles; Use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side)
 * 4) Truth in Advertising **Grades 9-12** (Derive and justify formulas for area, perimeter, surface area, and volume using nets and apply them to solve real-world problems; Approximate the area of irregularly shaped regions based on the approximations and the attributes of the related region; Develop a formula for finding the area of irregularly shaped regions)
 * 5) Carpenter Ants **Grades 6-8** (Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; 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; Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions)
 * 6) The Cost of What Is "Wright" **Grades 6-8** (Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; 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; Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions)
 * 7) GaGa Pit **Grades 6-7** (Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; 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)
 * 8) Submarine Density Project **Grades 7-8** (Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; 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; Know the formulas for the volumes of cones, cylinders, and spheres)
 * 9) Floor Makeover **Grades 6 & 9-12** (Graph proportional relationships; Use similar triangles to explain why the slope is the same; Analyze and solve linear equations; Understand a function assigns input to exactly one output; Construct a function to model a linear relationship)
 * 10) Mercator Maps **Grades 6-12** (Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures; Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale; Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems; Apply geometric methods to solve design problems)
 * 11) Materials and Structures **Grades 6-12** (Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems; Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale; Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions; Apply geometric methods to solve design problems)
 * 12) Make a Creature **Grades 6-12** (Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems; Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale; Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems; Use geometric shapes, their measures, and their properties to describe objects)
 * 13) Up to Par **Grades 9-12** (Apply geometric methods to solve design problems)
 * 14) High Flyers **Grades 9-12** (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)