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=JEREMY **__(1st lesson) Solid Shapes__**= Learning to...
 * Use** __isometric dot paper__ to draw three-dimensional shapes composed or cubes.


 * Develop** an understanding of __orthographic projection__.


 * Develop** a basic understanding of __volume__ and __surface area__.

__Isometric dot paper__ Paper with dots strategetically placed throughout the paper to enable the user to create a three dimensional shape. __Orthographic Projection__ A view of an object from a perpendicular view point of the plane or face of the object. __Volume__ The amount of space inside a three dimensional shape or object, shown in cubic units (units³). __Suface Area__ The area around a shape, shown in square units (units²). __Isometric Drawing__ A drawing on isometric dot paper that shows a three-dimensional object. The horizontal lines of the object are shown by lies that form 30° angles.
 * Definitions**

Click here [|orthographic projection] for a good explanation of orthographic projection. =__(2nd lesson) Spatial Relationships__= Learning to...
 * Examples/Understanding**
 * Define** __Polyhedron__.


 * Identify** __points__, __lines__, __segments__, __planes__, and __angles__ in a three-dimensional area.


 * Define** __dihedral angle__.

__Solids__ A closed spatial object that has three dimensions. __Polyhedron__ A closed spacial object that is made of plygons and has many faces. __Face__ The polygons on the outside of a three-dimensional object. The outward surface. __Edges__ The point at which the faces meet. __Vertices__ The point where the edges of an object meet. __Parallel Planes__ If two planes don't intersect, then they are parallel. __A Line Perpendicular to a Plane__ If a line is perpendicular to everry line the the plane that passes through P, then it is perpendicular to a plane at point P. __A Line Parallel to a Plane__ If a line is parallel to a line contained in a plane, then it is parallel to the plane. __Dihedral Angle__ The angle made by two planes that meet at an edge. Using two rays for each plane that are perpendicular to the edge. __The measure of a dihedral angle__ Using two rays for each plane that are perpendicular to the edge. It's the measure of the angle made by the two rays.
 * Definitions**

Click on this link to learn more about [|polyhedrons]. =**__(3rd Lesson) Prisms__**= Learning to...
 * Examples/Understanding**
 * Define** __prism__, __right prism__, and __oblique prism__.


 * Examine** the shapes of __lateral faces__ of prisms.


 * Solve** problems by using the diagonal measure of a right prism.

__Prism__ A solid with ends that are parallel and has parallelograms for sides. __Base__ One of the two ends of a prism. The ends are parallel to eachother. __Lateral Faces__ The sides of the prism. These are quatrilaterals. The faces that aren't the bases. __Lateral Edges__ The edges of the lateral faces. (Not including the edges of the lateral faces and the bases). __Right Prism__ A prism with lateral faces that are rectangles. __Oblique Prism__ A prism that has at least one lateral face that is not rectangular. __Diagonal__ A segment that has endpoints that are vertices of two different faces of a polyhedron. __Diagonal of a Right Rectangular Prism__ d= √ l²+w²+h². (d=length of diagonal, l=length, w=width, h=height.)
 * Definitions**

All sorts of [|prisms]. =__**(4th Lesson) Coordinates in Three Dimensions**__= Learning to...
 * Examples/Understanding**
 * Identify** the reatures of a three-dimensional coordinate system, including the aces, octants, and coordinate planes.


 * Solve** problems by using the distance formula in three dimensions.

__Right-handed System__ The idea is the show the three-dimensional axes of x, y, and z. Put your right hand in front of your face and point your index finger slightly to the left of your face and a little down. Raise your thumb and keep your middle finger straight and you will see something resembling the xyz plane. (x=pointer finger, y=middle finger, z=thumb). __Octants__ The x, y, and z axes divide space into eight octants. Two octants per axes. The octants are labeled with +-depending on what octant you are using. __Coordinate Plane__ There are three coordinate planes. The xy- plane, the xz-plane, and the yz-plane. __Distance Formula in Three Dimensions__ d= √ (x-x)²+(y-y)²+(z-z)². (d=distance, between (x1,y1,z1) and (x2,y2,z2). __Midpoint Formula in Three Dimensions__ (x1+x2/2, y1+y2/2, z1+z2/2). Of a segment with endpoints at (x1, y1, z1) and (x2,y2,z2).
 * Definitions**

=**__(5th Lesson) Perspective Drawing__**=

Learning to...
 * Identify** and define the basic concepts of perspective drawing.


 * Apply** these basic concepts to create your own perspective drawings.

__Vanishing Point__ In a perspective drawing it's the point on the horizon line where the lines seem to meet. __Theorem: Sets of Parallel Lines__ In a perspective drawing, all the lines that with exeption to the lines not parallel to the picture plane, are parallel and will seem to meet at the vanishing point.
 * Definitions**

Click on [|perspective drawing] for more information.
 * Examples/Understanding**