Geometry Module 3: Triangles and Quadrilaterals

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Lessons
Lesson Summary
For virtual manipulatives for geometry, please see: http://matti.usu.edu/nlvm/nav/grade_g_3.html

Geom 3.1 Isosceles Triangle Properties
*Graphic Organizer      
*PDF

Students use Geometer’s Sketchpad to explore the properties of isosceles triangles.

Geom 3.2 Triangles Properties

Students use Geometer’s Sketchpad to manipulate premade sketches to prove triangle congruence theorems.
Geom 3.3 Triangle Conjectures: Mid-segments of Triangles and Triangle Inequalities
PDF
Students cut one triangle into two triangles, attempting to create two equal areas. Then they use cut-out paper triangles, fold for mid points, draw to create mid-segments, measure sides and mid-segments, make conjectures about the relationships between the mid-segments and sides and relationships found among the smaller triangles created by the mid-segments and the original triangle.

Geom 3.4a Triangle Centers
PDF
Geom 3.4b Triangle Bisector and Center       PDF
*Sketchpad demo

Students use Geometer’s Sketchpad or Patty Paper Geometry to create triangle altitudes, medians, perpendicular bisectors, and angle bisectors. They observe and draw conclusions related to the intersections created by these triangle lines. *Access sketchpad demo.
Geom 3.5 Geometric Figures and Coordinate Space Students have the opportunity to explore shape properties on a coordinate grid.
Geom 3.6a Exercise on Quadrilaterals
*Record Sheet     
 PDF
Students construct quadrilaterals and identify characteristics of consecutive and opposite angles and sides, as well as diagonals. They create and defend their own quadrilateral hierarchy chart. *Access record sheet or graphic organizer
Geom 3.6b Building Quadrilaterals      
*Graphic organizer
    PDF

See above.

Geom 3. 7 Quadrilateral Properties Assessment    PDF Assessment
Geom 3.8 What's the Angle, What's the Shape Assessment
PDF
Assessment