GSP activities

NOTE: You must have Geometer's Sketchpad software installed on your computer to open these files. ©2006 Author: Sheryl Roehl This project was funded by the Texas Teacher Quality Grants Program For more information, contact Elaine Young
Area Explore the area of a triangle, trapeziod, parallelogram as well as two other problems	Area, Maximum Find the maximum area of a barn with accompanying table/graph	Circle & angles Explore central & inscribed angles, angles formed by a tangent/chord, angles formed by intersecting chords, angles formed by a secant,and angles formed by two tangents
Circle segments Explore intersections of two chords, two secants, a secant & tangent, or two tangents	Congruent triangles Construct congruent triangles for given set of parameters	Dilate Explore what happens to the ratios of perimeter and area when square is dilated
Dilation investigation Investigate effects of scale factors on quadrilaterals and resulting length/area ratios	Discovering Pi Change the radii of circles and examine the ratio of circumference to diameter	Distance Explore the sum of the distances from any point in the interior of an equilateral triangle to the sides to find the constant
Dot paper Draw lines and shapes on dot paper	Equation of a circle See how the equation of a circle relates to a coordinate system	Explore functions See different parent functions and how parameter changes affect the graphs
Exterior angles observation sheet	Fractal gallery	Geometric mean Explore the ratios in a right triangle
Glide reflection Explore changing the shape of a tessellating triangle	Graph theory Complete graphs	Hypercube
Icosahedron	Inscribed polygon angles Explore the measures of the central/interior/ exterior angles of an inscribed polygon	Inscribed polgon chords Explore various lengths of inscribed polygons
Kaleidoscope Simulates a kaleidoscope	Koch's Snowflake Shows first five iterations of this famous fractal	Median conjectures Explore the relationships that exist in triangles with medians
Parallelogram diagonals Proves that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the sides squared	Parallel lines & transversals worksheet	Poincare disk Non-Euclidean geometry exploration
Polygons & angles Explore the interior/exterior angles of polygons	Pythagorean Theorem Four visual proofs of the theorem	Pythagorean Theorem Simulates the proof using patty paper
Pythagorean Theorem One proof example	Pythagorean triples Looks at the relationships of the Pythagorean triples	Quadrilaterals
Reflect across a line Explore the reflection of a triangle across any line	Reflection activity Explore the effects of a reflections across y=x and y=-x	Reflect across both axes Explore what happens when a triangle is reflected across both axes
Reflections Explore what happens with seven reflection options	Right triangle tangent Explore the ratio of the opposite/adjacent leg of a right triangle	Rotations Explore changes in coordinates with 90, 180, 270 degree rotations
Rotations 2 Explore rotation of a shape through various degree measurements	Similar quadrilaterals Explore relationships between similar quadrilaterals	Sine tracer Simulate the graph of sine/cosine curve using the unit circle
Square numbers Model the sum of the sequences of consective odd numbers being a perfect square number	String art Create beautiful pictures using "string" lines	Theorems Blackwell, Steiner, Napoleon
Translation Simulates the translation of a triangle and what happens to ordered pairs	Translation 2 Shows vertical and horizontal translation steps and related mapping expressions	Triangles Congruence theorems for triangles and special points (orthocenter, etc)

Rice Geometry Module Activities for Geometer's Sketchpad

Rice Geometry Module
Activities for Geometer's Sketchpad