| Lessons |
Lesson Summary
|
| For
virtual manipulatives for geometry, please see: http://matti.usu.edu/nlvm/nav/grade_g_3.html |
Geom
2.0a Geoboards and Pick's Theorem PDF
Geo
2.0 dot paper |
In
these activities, students explore the geo-board by creating
shapes with specified characteristics, sort shapes, discover
Pick’s Theorem, and explore area using Pick’s
Theorem. Please access the centimeter dot paper link. |
| Geom
2.0b Classifying Polygons
PDF
*Graphic
Organizer
PDF
|
Students
discover the definitions and characteristics of triangles
and quadrilaterals using logic, Geometer’s Sketchpad,
a graphic organizers, folding and identifying shapes. *Access
graphic organizer.
|
| Geom
2.1 Tangram Polygons
PDF
Geom
2.1 Worksheet |
In
this lesson, students create different polygons using different
combinations of tangram pieces. |
| Geom
2.2 a,b,c All About Angles
PDF
|
This
lesson is introduced using the book, “Sir Cumference
and the Great Knight of Angleland.” Students use hinged
mirrors to understand the connection between angles and circles,
and to measure angles in pattern blocks. |
Geom
2.2d Polygon Angles
|
Students
use Geometer’s Sketchpad to show the sum of the angles
in a triangle to be 180 degrees and in a quadrilateral to
be 360 degrees. They explain their reasoning and use Sketchpad
to find an expression for the sum of the angles in a polygon
and to find the sum of the exterior angles. |
Geom
2.3 Polygons and Art
PDF
|
Students
use Geometer’s Sketchpad to create regular polygons
by inscribing them in circles. After they have created the
polygons, they connect the vertices and shade areas to create
geometric art. They label characterics as specified. |
Geom
2.4 Points, Lines, and Planes
PDF |
This
lesson introduces basic geometry concepts of points, lines,
segments, rays, and angles, using Geometer’s Sketchpad.
Assessments are included. |
Geom
2.5 Logic and Proof
|
Students
apply basic logic. They identify logical statements in advertisements,
solve and create a logic puzzle, make proofs using logical
move sequences in the game of UNO. |
Geom
2.6 Proving Supplementary and Complementary
PDF
|
Students prove a solution to an equation using algebraic
properties, then write their own statements to be proved.
After the algebra examples for two-column proof , students
work on several examples of geometric proof to work on.
|
| Geom
2.7 Parallel and Perpendicular Lines and Their Angles |
Students use Geometer’s Sketchpad activity to create
and measure angles created by parallel and perpendicular lines.
An individual record of learning and a group assessment are
included. |
| Geom
2.7b A World Without Parallel and Perpendicular, A Project |
Students
find examples of parallel and perpendicular in the real world,
then prepare a written piece or presentation about a world
without parallel or perpendicular. |
Geom
2.8 A Picture is Worth a Thousand Words
PDF
|
Students create a picture using points on a coordinate plane.
They use the picture to identify angle and line relationships,
and write the equations of the lines that form the picture.
|
Geom
2.9 Review the Pythagorean Theorem and the Distance Formula
PDF |
Students
problem solve for a hiking distance, relate the distance formula
to the Pythagorean Theorem, and use the distance formula to
find distances on real-life maps of their own areas (internet
maps). |
|
Geom
2.9b Distance Formula (version 2)
PDF
|
See
above (2.9) |
| Geom
Basic Assessments: House Plans |
Students
are to help complete some architectural plans for a house
to be built. The incomplete plans are included. |
