| Lessons |
Lesson Summary
|
| For
virtual manipulatives for geometry, please see: http://matti.usu.edu/nlvm/nav/grade_g_3.html |
| Geom
8.0 Discover and Write an Ancient Theorem PDF
|
Students
build puzzles involving the Pythagorean Theorem, write their
version of the theorem, compare their version to textbook
versions, and use the theorem to solve problems.
|
Geom
8.0b Pythagorean Theorem and Equations of Lines
PDF
|
Students
find the length of the hypotenuse of right triangles by drawing
squares off the sides of the triangles (drawn on grids). They
review the Pythagorean Theorem and write the equations of
lines for the sides of the right triangles. |
|
Geom
8.0c Solving for the Midpoint
PDF
|
Students
fold paper, draw and measure line segments to understand what
a midpoint is and to derive the formula for finding the midpoint
of a line segment. |
|
Geom
8.1 Squares and Square Roots
PDF |
Students
draw squares on dot paper—some are square with the paper
and some are on a diagonal. They find the radical numbers
to describe the length of the sides of squares whose areas
are known. They can use the Pythagorean theorem to check their
answers.There are three versions of this activity. |
| Geom
8.2 Special Right Triangles
|
Students
use Geometer’s Sketchpad for valuable experience with
the properties of special right triangles. They use the
ratio answers derived in this activity to solve problems on
worksheets or from their textbooks. |
Geom
8.3 Right Triangle Ratios
PDF
|
Students
use Geometer’s Sketchpad to explore the patterns in
trigonometric ratios and examine the ratios in similar triangles.
A surveying lab is also included. In this lab, students create
a hypsometer and use it to measure heights of buildings which
would be difficult to measure otherwise. |
| Geom
8.3b String Heights with Trig Ratios |
Students
use trig ratios to find the measurement of different strings
(longer than the ceiling height) hung from the ceiling of
the classroom. Students are given the height of the ceiling
but are not allowed to measure the string using an instrument.
They are given a protractor and a scientific calculator. |
| Geom
8.4 Law of Sines and Cosines |
Students
work through the concepts involved in the development of the
Law of Sines and the Law of Cosines. They use these laws to
solve problems. |
Geom
8.5 Transit Lab Activities
PDF
*Transit
PowerPoint
|
Students
build a transit and use it to solve
problems which also involve trig ratios |
| Geom
Module 8 Unit Circle Worksheet PDF |
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