2 and 3 Dimensional Figures - 23 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key
Use a counterexample to disprove a false conjecture/statement about points, lines or planes.
Provide counterexamples in various forms:
Justify the selection of the counterexample.
Use trigonometric ratios to find lengths of sides in order to calculate perimeter and area of triangles, quadrilaterals and other polygons.
Use trigonometric ratios to solve mathematical and real life problems involving perimeter and area of triangles, quadrilaterals and other polygons.
Use the relationships in special right triangles and the Pythagorean Theorem to help calculate the perimeter and area of triangles, quadrilaterals and other polygons.
Use relationships in special right triangles and the Pythagorean Theorem to solve mathematical and real life problems involving triangles, quadrilaterals and other polygons.
Convert measurements to a consistent unit of measure both within the same measurement system and between measurement systems.
Make algebraic connections between the parts of a regular polygon (apothem, radius, sides) to the area and perimeter.
Find area of regular polygons to solve problems, including:
Problems to solve for the apothem or radius.
Problems involving right triangle relationships (trig ratios, special right or Pythagorean triples or Theorem to solve)
Identify the 2-D figure created by a cross-section of a 3-D figure.
Identify the 3-D object generated by rotations of a two-dimensional shape.
Limit to simple 3D shapes (cone, cylinder, sphere)
Find the volume in problem situations involving cubes, prisms, pyramids, cylinders, cones, spheres, and composite figures.
Determine missing measures (radius, height, etc.) of a 3D figure given its volume and other dimensions or measurements.
Choose the appropriate formula(s) or strategy for finding the volume of a 3D figure.
Use the Pythagorean Theorem, patterns of special right triangles, and/or properties and attributes of polygons when necessary to find missing measurements needed to solve a volume problem.