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= __Prior Knowledge__   = **What your students should know before you tackle the basics of parallel and perpendicular lines... ** ** M4G1. Students will define and identify the characteristics of geometric figures through examination and construction. **  b. Describe parallel and perpendicular lines in plane geometric figures. c. Examine and classify quadrilaterals (including parallelograms, squares, rectangles, trapezoids, and rhombi) by their properties. d. Compare and contrast the relationships among quadrilaterals.
 * Students will need to be aware of the definition of a right angle.
 * Students will need to understand what a plane is and how it relates to geometry.
 * Students will need to know the difference between lines, segments, and ray.
 * Prior Knowledge Needed:
 * Familiarity with geometric figures
 * Brief exposure to parallel and perpendicular lines

 ** M4G2. Students will understand fundamental solid figures. **  b. Describe parallel and perpendicular lines and planes in connection with the rectangular prism. >>  ** M7G1. Students will construct plane figures that meet given conditions. **  a. Perform basic constructions using both compass and straight edge, and appropriate technology. Constructions should include copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
 * Prior Knowledge Needed:
 * Exposure to 3-dimensional geometric figures
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Brief exposure to parallel and perpendicular lines in 3-dimensional contexts
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Prior Knowledge Needed:
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Familiarity with the properties of a variety of geometric figures
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Exposure to working with geometric tools
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Background knowledge involving the properties and behavior of lines and angles

<span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> ** M8G1. Students will understand and apply the properties of parallel and perpendicular lines and understand the meaning of congruence. ** <span style="background-color: white; font-family: 'Comic Sans MS',cursive; font-size: 120%;"> a. Investigate characteristics of parallel and perpendicular lines both algebraically and geometrically. b. Apply properties of angle pairs formed by parallel lines cut by a transversal. c. Understand the properties of the ratio of segments of parallel lines cut by one or more transversals. d. Understand the meaning of congruence: that all corresponding angles are congruent and all corresponding sides are congruent.
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Prior Knowledge Needed:
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Background knowledge involving the properties and behavior of lines and angles
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Understanding of the mathematical definition of congruence and <span style="font-family: 'Comic Sans MS',cursive; line-height: 27px;">correspondence
 * <span style="font-family: 'Comic Sans MS',cursive; font-size: 120%; line-height: 27px;">Understanding of the characteristics of parallel and perpendicular lines

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