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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: • • • 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 • • • • • • • 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-NspireTM Technology to teach geometry. 10 | Lesson C.1 Congratulations! You have just finished lesson C.1! 11 | Lesson C.1