UNIT VI: Transformations and Similarity
Activities- 1 Reflection Practice
Students can improve their understanding of reflections using these self-checking practice problems. - 2 Rotation Practice
Students can improve their understanding of rotations using these self-checking practice problems. - 3 Rotations in a Plane
Students will explore the properties of rotations and the relationships between the original and image figures using Cabri Jr. on the calculator. - 4 Translation Practice
Students can improve their understanding of translations using these self-checking practice problems. - 5 Vector Applet
Two different Applets by NCTM to explore vectors' magnitude and direction. The second one involves vector addition (airplane and wind). eTools- 6 AA Applet
Change the angles and see that the triangles are still similar, if the angles are the same. - 7 Dilation Exploration
This virtual manipulative allows students to dilate a figure. - 8 Example 1: Proportion and Scale -- Capitol Model (DE streaming)
From methods of geometric construction to three-dimensional figures to properties of triangles to representations and transformations, this video introduces middle school students to more advanced properties and concepts of geometry. - 9 Exploring SAS and SSA
Students are able to see why SAS works and SSA does not work in proving that two triangles are similar. - 10 Reflection Exploration
This virtual manipulative allows students to reflect a figure. - 11 Rotation Exploration
This virtual manipulative allows students to rotate a figure. - 12 SAS Applet
- 13 SSS Applet
Change the side lengths of two triangles and see that they are still similar. - 14 Tessellate!
This applet allows the user to "deform" a triangle, rectangle, or hexagon and then they can tessellate their new figure. - 15 Translation Exploration
This virtual manipulative allows students to translate a figure. Quizzes and Tests- 16 Online Quiz
This is an online quiz for transformation matrices from Prentice Hall. Student Activities- 17 Escher and Tessellations
This site shows some famous tessellations by artist and mathematician, M.C. Escher as well as how to make your own. The site offers directions on how to use paper and pencil to make a tessellation as well as online applets to experiment with. - 18 Geometer's Sketchpad Activity for Dilations
Activity in which students investigate the affects of various dilations. Technology Based Activity- 19 Kali - Program (Create Tessellations)
Kali is a program that allows the user to create intricate designs with symmetry and then tessellates. Tutorials- 20 Describing Reflections (NCTM)
Lesson plan, including a few applets, to help students understand how to describe reflections. - 21 Describing Rotations (NCTM)
Lesson plan, including a few applets, to help students understand how to describe rotations. - 22 Geometric Transformations
This clearly explains the transformation matrices with plenty of graphics. - 23 Tessellations
This tutorial goes through tilings, regular tessellations, and semi-regular tessellations. The author of the site just asks that you not print or make copies. - 24 Tessellations: Defining and Creating
This page has much to offer. Definitions and a lesson plan are available, as well as directions for how to make tessellations using various programs such as Geometer's Sketchpad, HyperStudio, and MS Paint. - 25 Transformation Matrices
This is an explanation of the various matrices used to perform transformations Video Segments- 26 Adding Vectors and Air Travel (DE Streaming)
This segment shows how adding vectors can relate to air travel. - 27 Example 2: Congruence and Similarity -- Flags (DE streaming)
From methods of geometric construction to three-dimensional figures to properties of triangles to representations and transformations, this video introduces middle school students to more advanced properties and concepts of geometry. - 28 Intro to Vectors (DE Streaming)
This segment includes an introduction to vectors including the ideas of magnitude and direction. - 29 Proving Triangles Similar (DE streaming)
This segment goes through some example 2-column proofs for similarity of triangles, with a real world example. Videocasts- 30 Geometric Transformations (DE streaming)
From methods of geometric construction to three-dimensional figures to properties of triangles to representations and transformations, this video introduces middle school students to more advanced properties and concepts of geometry. - 31 Investigating Tesselations (DE streaming)
Angles are found everywhere. This program shows how to construct simple two-dimensional shapes and what is involved in understanding the language associated with them. Viewers will understand and investigate how shapes fit together.
UNIT VII: Investigating Right Triangles
