HS+Geometry

=High School Geometry=


 * __ Flashcards __** can be used with all types of Thinking Maps:
 * 1) Cut them apart for students to use as manipulatives & physically create maps; or find examples for maps
 * 2) Use them as examples to be solved using the maps to guide the process

Basic Geometric Shapes & figures with label cards for the figures. Flashcards with Triangle Problems and solution equations; can be used with tree map or independently.

Sample Triangle Flashcards

SOL G.3 The student will solve practical problems involving complementary, supplementary, and congruent angles that include vertical angles, angles formed when parallel lines are cut by a transversal, and angles in polygons. **
 * Tree Map of Geometry SOLs by Question Type from Released 2003 //(This will have released items from 2002 - 2007 added) Maps will also have actual questions added for comparisons.//

**SOL G.5 The student will** **SOL G.7** **The student will solve practical problems involving right triangles by using the Pythagorean Theorem, properties of special right triangles, and right triangle trigonometry. Solutions will be expressed in radical form or as decimal approximations**.
 * a) investigate and identify congruence and similarity relationships between triangles; and**
 * b) prove two triangles are congruent or similar, given information in the form of a figure or statement, using algebraic and coordinate as well as deductive proofs. **
 * [|TM M2 Geometry maps.ppt] Multiple Maps to use with Similar & Congruent Triangles
 * [[file:Congruent Triangles Brace.ppt]] Several Brace maps taking apart figures to show congruent triangles
 * · Use definitions, postulates, and theorems to determine whether triangles are congruent.
 * [[file:Congruent_Triangle_MultiFlow.ppt]] MultiFlow Examples showing congruence of triangles.
 * · Use algebraic methods, such as properties of proportions, to prove that triangles are similar.
 * [[file:GeometricMean Bridge.ppt]] Bridge Map of Geometric Means to show similarity
 * [[file:GeometricMean Bridge.ppt]] Bridge Map of Geometric Means to show similarity

//Charles, Holly, and Melia// If students struggle with the tree map, have them do a multi-flow first to identify the facts from the Problem Graphic. Can use GeoFlashcards2 as the problem graphics.

Logic Tree Map - Under Construction & will be updated.

Solving Triangle Inequalities

 **SOL. G.10 The student will investigate and solve practical problems involving circles, using properties of angles, arcs, chords, tangents, and secants. Problems will include finding arc length and area of a sector, and may be drawn from applications of architecture, art, and construction. **  