2appkal

__**//3-D shapes//**__



-draw three dimensional shapes made out of cubes while using isometric dot paper. -understand orthographic projection. -understand volume and surface area. __Isometric Drawing__- horizontal lines are represented by lines that form 30 degre angles with a horizontal line in the picture __Orthogrephic projectionected__ - a view of a object which the points of the object are projective onto the picture plane along lines perpinduclar to the picture plane. http://www.alfy.com/games/playgame.aspx?gameID=211
 * objectives**
 * Vocabulary:**
 * Fun math games**


 * //__spatial relation__//**



-learn relationships between points, lines, segments, planes, and angles in three-diensional space.
 * objectives**

__solids__- spacial figures that are closed. __polyhedron__-close spacial figure that is formed by polygons, called faces of the polyhedron. the intersection of the faces are the edges of the polyhedron. the vertices of the faces are the vertices of the polyhedron. __half-plane__- pice of a plane that lies on one side of a line in the plane that includes the line. __dihedral angle__- the figure that is formed by two half-planes and a common edge. each face of the angle is called the half-plane, and the common edge of the half-plane is called the edge of the angle. http://images.google.com/imgres?imgurl=http://blog.wired.com/photos/uncategorized/2007/04/12/boxes.jpg&imgrefurl=http://mmopub.com/2007/04/12/browser-game-if-you-build-it-you-are-smart/&h=524&w=750&sz=62&hl=en&start=1&um=1&tbnid=mVnWpjsoyfS8IM:&tbnh=99&tbnw=141&prev=/images%3Fq%3Dspatial%2Brelation%2Bgame%2Bonline%26um%3D1%26hl%3Den%26sa%3DN
 * Vocabulary:**
 * This is a good spatial relation game**


 * //__Prisms__//

**

-learn prism, right prism, and oblique prism. -look at the shapes of lateral faces of prisms. -Figure out problems by using the digonal measure of a right prism.
 * Objectives**

__Prism__- a polyhedron that consists of a polygonal region and its translated image on a parallel plane, that have quadrilateral faces connecting corresponding edges. __Base__- the faces formed by the polygonal region. __Lateral faces__-quadrilaterals that are the reaming faces. __Lateral edges__- these are not the edges of the lateral faces. __Right prism__- joing edges and faces are perpendicular to the bace faces. __Oblique prism__- The joining edges, and faces would not be perpendicular to the base faces.
 * Vocabulary:**

A right rectangluar prism with the dimensions L×W×H, and the length of a diagonla is given by d = √ (L2=W2+H2) http://en.wikipedia.org/wiki/Prism_(geometry)
 * Diagonal of a Rectangular Right prism**


 * //__Three dimension coordinates__//



Objectives:** -Fetures of three-dimensional coordinate system. Axes, Octants, and coordinate planes. -Solve problems with the distiance formula in three dimensions.

__right-handed system-__ the arrangment of the axis. __coordinate plane-__ three coordinate planes. the xy-plane, the xz-plane, and the yz-plane. each are named by the pair of axes. __octants-__ all three coordinates of a point are positive. this is called the first octant. __distance formula in three dimensions-__ √(x2-x1)2+(y2-y1)2+(z2-z1)2. __midpoint formula in three dimensions__- (x1+x2 / 2, y1+y2 / 2, z1+z2 / 2). http://www.algebralab.org/lessons/lesson.aspx?file=geometry_coordmidpoint.xml
 * Vocabulary:**

Objectives** -learn the equation of a line and the equation of a plane in space. -using lines and plans in space solve problems. __intercepts__-a line that dose not lie on the axis or dose not cross the xx- and y-axes at one ot two points. __parametric equations__- rules x = (an expression involving t) y = (an expression involving t) z = (an expression involving t)
 * //__Lines and Planes in Space__//
 * vocabulary:**


 * //__Perspective Drawing

__//

Objectives** -learn the basic concepts of perspective drawings. -use the basic concepts to create art. __Vanishing point__- often on the horizont where two parrellel lines meet. __Sets of parrellel lines__- All lines are parallel to each other and meet at a single point. __Lines parallel to the ground__- A line that is in the plane of the ground and is not parellel to the picture plane, then it will meet at the horizon of the drawing.
 * Vocabulary:**