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Geometry on the coordinate plane
Big Idea
This unit uses distance, midpoint, and slope to examine segments and lines in the coordinate plane. Technology based tools are used to duplicate segments and angles, bisect segments and angles, construct parallel and perpendicular lines, and construct triangles and quadrilaterals.
Common Core State Standards
Standards for Mathematical Practice
Assessment PlanEntry Level: Students will recall the meaning of a line and the components within
Formative: Students will use guided notes to answer questions on translating lines. Formative: Teacher will observe student screencasts on midpoints and angle bisectors. Formative: Teacher will assess student learning through work completed on GeoGebra about Translating and constructing angles and angle bisectors Formative : Teacher will have students use an exit slip to write equations of a line for parallel and perpendicular lines. Summative: A unit exam will be given at the end covering all lessons. |
ContentG.CO.1: Experiment with transformations in the plane Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.2: Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to thosethat do not (e.g., translation versus horizontal stretch). G.CO.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.CO.5: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. G.CO.6: Understand congruence in terms of rigid motions Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. G.CO.12 Make geometric constructions Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). 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. G.CO.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle. G.GPE.6 Use coordinates to prove simple geometric theorems algebraically Find the point on a directed line segment between two given points that partitions the segment in a given ratio. G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. |