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Geometry

General Information

 Type Activity Description Virginia Department of Ed Standards and SOL-based Instructional Resources SOL Enhanced Specific activites by SOL created by DOE 1st NW Review Notes 1st NW Honors Review Notes 2nd NW Review Notes 2nd NW Honors Review Notes 3rd NW Review Notes 3rd NW Honors Review Notes 4th NW Review Notes 4th NW Honors Review Notes District review notes for students and parents Desmos Graphing Calculator 5 Minute Math Tutorials Math videos demonstrations organized by subject. Illuminations Interactive models for grades 9-12 Math Open Reference A free interactive math textbook on the web Graph Paper Various forms of graphing paper templates MODSIM Math & Science Lessons Listing of lessons that incorporate MODSIM into the Math and Science Curriculum Math Interactives Multimedia resource includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life. Geometry Homework Help Geometry, math homework solvers, lessons and free tutors online Geometry On-Line Facilitated online course developed by Henrico County High School Geometry Tutorials, Study Guides, and Web Resources Interactivate Interactive, Java-based courseware for exploration in science and math Learning Math: Geometry Introduces geometric reasoning as a method for problem solving Mathwords Terms and formulas from beginning Algebra to Calculus
 G.1 G.2 G.3 G.4 G.5 G.6 G.7 G.8 Review

G.1 The student will construct and judge the validity of a logical argument consisting of a set of premises and a conclusion. This will include a) identifying the converse, inverse, and contrapositive of a conditional statement; b) translating a short verbal argument into symbolic form; c) using Venn diagrams to represent set relationships; and d) using deductive reasoning.

 Type Activity Description G.2 The student will use the relationships between angles formed by two lines cut by a transversal to a) determine whether two lines are parallel; b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs; and c) solve real-world problems involving angles formed when parallel lines are cut by a transversal.

 Type Activity Description Pairs of Lines Two lines can be related to each other in four different ways. G.3 The student will use pictorial representations, including computer software, constructions, and coordinate methods, to solve problems involving symmetry and transformation. This will include a) investigating and using formulas for finding distance, midpoint, and slope; b) applying slope to verify and determine whether lines are parallel or perpendicular; c) investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and d) determining whether a figure has been translated, reflected, rotated, or dilated, using coordinate methods.

 Type Activity Description G.4 The student will construct and justify the constructions of a) a line segment congruent to a given line segment; b) the perpendicular bisector of a line segment; c) a perpendicular to a given line from a point not on the line; d) a perpendicular to a given line at a given point on the line; e) the bisector of a given angle, f) an angle congruent to a given angle; and g) a line parallel to a given line through a point not on the given line.

 Type Activity Description G.5 The student, given information concerning the lengths of sides and/or measures of angles in triangles, will a) order the sides by length, given the angle measures; b) order the angles by degree measure, given the side lengths; c) determine whether a triangle exists; and d) determine the range in which the length of the third side must lie. These concepts will be considered in the context of real-world situations.

 Type Activity Description G.6 The student, given information in the form of a figure or statement, will prove two triangles are congruent, using algebraic and coordinate methods as well as deductive proofs.

 Type Activity Description G.7 The student, given information in the form of a figure or statement, will prove two triangles are similar, using algebraic and coordinate methods as well as deductive proofs.

 Type Activity Description G.8 The student will solve real-world problems involving right triangles by using the Pythagorean Theorem and its converse, properties of special right triangles, and right triangle trigonometry.

 Type Activity Description The Pythagorean Theorem Information and activities G.9 The student will verify characteristics of quadrilaterals and use properties of quadrilaterals to solve real-world problems.

 Type Activity Description G.10 The student will solve real-world problems involving angles of polygons.

 Type Activity Description Tessellate! Allows the user to generate a polygon that will repeat without overlapping across a plane G.11 The student will use angles, arcs, chords, tangents, and secants to a) investigate, verify, and apply properties of circles; b) solve real-world problems involving properties of circles; and c) find arc lengths and areas of sectors in circles.

 Type Activity Description G.12 The student, given the coordinates of the center of a circle and a point on the circle, will write the equation of the circle.

 Type Activity Description G.13 The student will use formulas for surface area and volume of three-dimensional objects to solve real-world problems.

 Type Activity Description G.14 The student will use similar geometric objects in two- or three-dimensions to a) compare ratios between side lengths, perimeters, areas, and volumes; b) determine how changes in one or more dimensions of an object affect area and/or volume of the object; c) determine how changes in area and/or volume of an object affect one or more dimensions of the object; and d) solve real-world problems about similar geometric objects.

 Type Activity Description Review

 Type Activity Description Mr. Meyer Three Act Math Geometry Formula Notecards Review activity Legend
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