Download The basics of geometry TI-Nspire TM Technology In this

Module C
Geometry with
TI-Nspire™ Technology
Module C
Geometry with
TI-Nspire™ Technology
Lesson 1: The basics of geometry
TI-NspireTM Technology
In this lesson you will:
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Study the basics of geometry:
lines, angles, polygons, circles, …
Combine these basic principles
in a few theorems.
Explore how TI-NspireTM
Technology can be used to teach
geometry.
3 | Lesson C.1
Topic 1
Basic terms
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Points
Lines
Rays
Line segments
Vectors
Intersection
Endpoints
4 | Lesson C.1
Topic 2
Angles and angle terms
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What is an angle?
Degrees & measuring angles
Acute, obtuse, right & straight angles
Complementary angles
Supplementary angles
Vertical angles
Alternate interior & exterior angles
Corresponding angles
Angle bisector
Parallel and perpendicular lines
5 | Lesson C.1
Topic 3
Circles and polygons
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Circle
Regular polygons
Triangle
Equilateral triangle
Isosceles & Scalene triangle
Acute, obtuse & right triangle
Rectangle & Square
Parallelogram
Trapezoid
6 | Lesson C.1
Topic 4
Area and perimeter
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Area
Area of a square
Area of a rectangle
Area of a parallelogram
Area of a trapezoid
Area of a triangle
Area of a circle
Perimeter
Circumference of a circle
7 | Lesson C.1
Topic 5
Coordinates and similar figures
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What is a coordinate?
Similar figures
Congruent figures
Rotation
Reflection
Symmetric figure
Translation
Dilation
8 | Lesson C.1
Topic 6
Theorems
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Triangle sum Theorem
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Pythagorean Theorem
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Thales Theorem
9 | Lesson C.1
In this lesson you learned about…
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The basic terms of geometry.
Angles and angle terms.
Different polygons, rectangles and triangles.
The area, the perimeter and the circumference of the circle.
Coordinates and transformations.
A few important theorems.
The features of TI-NspireTM Technology to teach geometry.
10 | Lesson C.1
Congratulations!
You have just finished lesson C.1!
11 | Lesson C.1