Unit 5: Geometry
Students will grow their skills of visual perceptibility by exploring the world of visual mathematics, 2-D and 3-D shapes, the coordinate plane, surface area, volume, transformations and congruence. Students, having mastered the Discovery Method process, are able to apply it in this unit in its full power.
Theorems Your Student Will Discover:
Fundamentals Of Geometry
How to find angle measures of intersecting lines
How to find angle measures given parallel lines, a transversal and at least one angle measure
Triangles
Triangle Inequality Theorem
Pythagorean Theorem
Quadrilaterals
Sum of the interior angles of a polygon
How to find the measure of an interior angle of a polygon given the other angles
Area And Perimeter
How to find the measure of the perimeter of a polygon
How to find the measure of the circumference of a circle
How to find the area of a rectangle
How to find the area of a triangle
How to find the area of a regular polygon
How to find the area of a circle
Visual Perceptibility
How to draw the net of a 3-D shape
How to name a 3-D shape
Surface Area And Volume
How to find the surface area of a prism
How to find the surface area of a pyramid
How to find the surface area of a cylinder
How to find the volume of a prism
How to find the volume of a pyramid
How to find the volume of a cylinder
How to find the volume of a cone
How to find the volume of a sphere
Coordinate Plane
How to graph a coordinate pair on the coordinate plane
How to find the distance between two coordinate pairs on the coordinate plane
Transformations
How To Translate A Figure On The Coordinate Plane
How To Reflect A Figure Across The X-Axis
How To Reflect A Figure Across The Y-Axis
How to rotate a shape on the coordinate plane 90 degrees clockwise
How to rotate a shape on the coordinate plane 90 degrees counter-clockwise
How to rotate a shape on the coordinate plane 180 degrees
How to dilate a shape given the scale factor
How to find the scale factor given images of a dilation
Definitions:
2-Dimensional
Point
Line
Line Segment
Ray
Angle
Degree
Vertex
Side
Acute Angle
Obtuse Angle
Right Angle
Interior
Exterior
Parallel Lines
Perpendicular Lines
Transversal Line
Congruent
Supplementary Angles
Complementary Angles
Vertical Angles
Adjacent Angles
Triangle
Acute Triangle
Obtuse Triangle
Right Triangle
Equilateral Triangle
Isosceles Triangle
Scalene Triangle
Polygon
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Dodecagon
Regular Polygon
Irregular Polygon
Square
Rhombus
Quadrilateral
Parallelogram
Trapezoid
Kite
Convex
Concave
Circle
Radius
Diameter
Center Of A Circle
Perimeter
Circumference
Area
3-Dimensional
Net
Edge
Face
Pyramid
Prism
Cone
Cylinder
Sphere
Surface Area
Volume
X-Axis
Y-Axis
Origin
Coordinate Plane
Quadrant
Coordinate Pair
Transformation
Congruent
Similar
Translation
Reflection
Symmetry
Line Of Symmetry
Rotation
Clockwise
Counter-Clockwise
Dilation
Scale Factor
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