Math 222, Elementary mathematics
Math 222, Elementary mathematics MATH 222 003
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This 3 page Study Guide was uploaded by Olivia Brown on Monday February 8, 2016. The Study Guide belongs to MATH 222 003 at University of South Carolina taught by Dr. Don JORDAN in Spring 2016. Since its upload, it has received 32 views. For similar materials see Early childhood field exp-pre-k in Education and Teacher Studies at University of South Carolina.
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Date Created: 02/08/16
Math 222- Test 1 Collinear- point that lie on the same straight line. Noncollinear- points that do not lie along the same line. Coplanar Points- are points that lie on the same plane. Plane- is determined by 3 points. Parallel lines- 2 distinct lines that lie on the same plane. Skew lines— lines that DO NOT interest and no plane that contains them. How a line and a plane can intersect: line is parallel—> no points created line going through the plane—> 1 point is created line lying on the plane—> inﬁnitely many points are created How 2 planes can intersect: Parallel planes—> 0 or no intersection Intersecting planes—> create an inﬁnite line How a SPHERE and a plane can intersect: Plane goes over the sphere—> does not touch Plane touches surface of the sphere—> creates one point on the outside of the sphere Plane goes through the sphere—> inﬁnitely many points are created Acute— angle that is less than 90 degrees Obtuse— angle that is greater than 90 degrees Straight angle— is exactly equal to 180 degrees Right angle— is exactly equal to 90 degrees Dihedral angle— is formed by the inion of 2 half planes imitating from the same line Measuring an Arc of a Circle The arc = L C= The circumference of the circle L is a portion of C The central angle is made from 2 radiuses coming from the center point of the circle and ending at the 2 end points of the Arc Length on the circle. Formula to ﬁnd the Length of the Arc L= (central angle/ 360) of the Circumference OR L= (central angle/ 360) x 2pieR Closed Curve- on a plane, is a curve with no endpoints and completely encloses and area on the plane. Convex- If any two points in the interior of the Closed Curve are connected by a line segment, and that line segment and points lie completely on the inside of the closed curve ﬁgure. Polygons— can be considered a simple closed curved with angles and line segments. Interior Angle— of a polygon is an angle formed by any 2 sides having a common vertex Exterior Angle— is a convex polygon determined by a side of the polygon ABCD and the extension of a contiguous side of the polygon. QUADRILATERALS — any type of 4 sided ﬁgure. KITE— quadrilateral with two pair of adjacent sides congruent. TRAPEZOID— quadrilateral with at least one pair of parallel sides. ISOSCELES TRAPEZOID—trapezoid with exactly one pair of congruent sides. PARALLELOGRAM— quadrilateral which each pair of opposite sides is parallel. RECTANGLE— parallelogram with a right angle. Equivalently a rectangle is a quadrilateral with four right angles. SQUARE— 4 right angles and 4 congruent sides. SQUARE can be a RECTANGLE or RHOMBUS RECTANGLE can be a PARALLELOGRAM or ISOSCELES TRAPEZOID RHOMBUS can be a PARALLELOGRAM or KITE PARALLELOGRAM can be a TRAPEZOID ISOSCELES TRAPEZOID can be a TRAPEZOID KITE can be a QUADRILATERAL TRAPEZOID can be a QUADRILATERAL 2 PARALLEL LINES CUT BY A TRANSVERSAL Vertical angles are congruent Alternate interior angles are congruent Alternate exterior angles are congruent Corresponding angles are congruent METRIC SYSTEM (part of) megameter— 10^6 million kilometer— 10^3 thousand hectometer— 10^2 hundred dekameter— 10^1 ten 0 10^0 one decimeter— 10^-1 tenth centimeter— 10^-2 hundredth millimeter— 10^-3 thousandth micrometer— 10^-6 millionth LENGTH 10 millimeters= 1 centimeter 100 centimeters= 1 meter 1000meters= 1 kilometer
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