In this topic, students will:
use a scale drawing as a representation of actual lengths and area
sketch quadrilaterals with given conditions
name and classify quadrilaterals according to their properties
construct triangles with given conditions
conclude whether or not a triangle is formed and what type of triangle it is
calculate the measures of angles by using angle relationships
calculate the circumference, radius, or diameter of a circle
recognize the relationship between the circumference and the diameter of a circle and Pi
find the area of a circle
use the area to find the radius and diameter
solve problems involving the area of a circle
describe cross sections of right rectangular prisms and pyramids
solve problems involving cross sections
find the surface area of two-dimensional composite shapes
find the surface area of three-dimensional composite shapes
calculate the volume of various three-dimensional figures
solve problems involving the volume of three-dimensional figures
Vocabulary:
Scale drawing - an enlarged or reduced drawing of an object that is proportional to the actual object
Adjacent angles - two angles are adjacent if they have a common side and a common vertex
Complementary angles - two angles whose sum is 90 degrees.
Supplementary angles - angles that have a sum of 180 degrees
Vertical angles - angles opposite each other where two lines cross
Circumference - the distance around a circle
Cross section - the two-dimensional shapes that is exposed when a slice is made through a three-dimensional object
Composite figure - the combination of two or more figures into one object