Geometry Module 1: Anytime Geometric Models and Spatial Visualization

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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 1.0 The Garden Problem
PDF

Students work to figure out if it's possible to make a garden larger--the question is framed so there are multiple answers possible, leading to a rich investigation and discussion. The activity is followed by an assessment that involves students with another application of area.

Geom 1.1 Tesselating Triangles
 *Example
*PDF

 Students create a reference sheet to demonstrate triangle and angle theorems. They tessellate a triangle and color the congruent angles the same color. *Access example sheet at left.
 
Geom 1.2 The Handshake Problem
PDF
Student solve the thandshake problem and generalize their solution for any number of people. The variation on the handshake problem, Who Shook Who’s Hand, is a challenging problem solving activity for students
Geom 1.3 Polygonal Numbers
PDF  		This activity poses a problem with polygonal numbers asking students to look for patterns and generalize.
Geom 1.4 Spaghetti and Meatballs for All
 Students answer questions relating to the book Spaghetti and Meatballs for All by Marilyn Burns. The questions relate to area and perimeter.
Geom 1.5 Water Flask Functions
PDF  		Student groups relate increasing water volume to water height in vases and containers of various sizes and shapes, then graph and analyze the functions. Student find which graph matches each container for all of the groups.
Geom 1.6 Cross Sections of Solids
 

Students are introduced to building nets for solids using an activity from NCTM’s Navigating Through Geometry (6-8). A worksheet guides them to build a cylinder and a cone from clay, make cross-sectional slices, and identify the shapes of the slices.

Geom 1.7 Three-D Perspectives, Blog the Dog, etc.           PDF
*Building Sheet      *PDF		 Students use linking cubes to build a dog, given views from top, bottom, front, and side. They build and exchange orthographic drawings. They use Building Perspectives by Sunburst to build 3D solutions to the problems given using the software.
Geom 1.8 Paper Folding 2D and 3D Shapes
PDF 		This lesson involves clear communication and using vocabulary to describe shapes and angles. Students fold paper and provide instructions to a partner to fold a similar shape.