Geometry with TI-Nspire ™ Technology Module C

Geometry with TI-Nspire ™ Technology Module C Lesson 1: The basics of geometry

TI-Nspire TM Technology In this lesson you will: Study the basics of geometry: lines, angles, polygons, circles, … Combine these basic principles in a few theorems. Explore how TI-Nspire TM Technology can be used to teach geometry. 3 | Lesson C.1

Topic 1 Basic terms Points Lines Rays Line segments Vectors Intersection Endpoints 4 | Lesson C.1

Topic 2 Angles and angle terms 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 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 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 What is a coordinate? Similar figures Congruent figures Rotation Reflection Symmetric figure Translation Dilation 8 | Lesson C.1

Topic 6 Theorems Triangle sum Theorem Pythagorean Theorem Thales Theorem 9 | Lesson C.1

In this lesson you learned about… 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-Nspire TM Technology to teach geometry. 10 | Lesson C.1

Congratulations! You have just finished lesson C.1! 11 | Lesson C.1