Chapter 10: Lessons and Activities

Activity Name Activity Description
Angles Students practice their knowledge of acute, obtuse and alternate angles.
Triangle Explorer Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
Pythagorean Explorer Students find the length of a side of a right triangle by using the Pythagorean Theorem, and then check their answers.
Squaring the Triangle Students learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
Floor Tiles Students learn about tessellation on quadrilateral figures by dynamically changing the shape of the quadrilateral through dragging corners.
Tessellate! Students deform a triangle, rectangle or hexagon to form a polygon that tiles the plane. Corners of the polygons may be dragged, and corresponding edges of the polygons may be dragged. Parameters: Colors, starting polygon.

Lesson Name General Lesson Description
Lines, Rays, Line Segments, and Planes Introduces students to lines, rays, line segments, and planes.
Angles Introduces students to acute, obtuse, and right angles as well as alternate interior angles, alternate exterior angles, vertical angles, and adjacent angles.
Quadrilaterals Introduces students to quadrilaterals, with an emphasis on parallelograms, rectangles, and trapezoids as well as the characteristics that define each type of quadrilateral.
Pythagorean Theorem Demonstrates the Pythagorean Theorem and its applications.
Fractals and the Chaos Game Outlines the approach to playing the chaos game and how it relates to geometric fractals.