CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.
Students will understand transformations by first exploring the notion of linearity in an algebraic context. This quickly leads to a return to the study of complex numbers and a study of linear transformations in the complex plane.
Students will study transformations and the role transformations play in defining congruence. The need for clear use of language is emphasized through vocabulary, the process of writing steps to perform constructions, and ultimately as part of the proof-writing process.
In this Khan Academy activity, students will solidy their understanding of transformation definitions by answering 4 transformation problems.
From Georgia Virtual school. Gret resource explaining dilations and scale factors
In this Khan Academy activity, students will find different types of measures using rigid transformations.
The Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12's Basic Geometry Student Edition. The solution and assessment guides are available upon request.
Students discover the gaps in specificity regarding their understanding of transformations.
Students identify the parameters they need to complete any rigid motion.
Students manipulate rotations by each parameter—center of rotation, angle of rotation, and a point under the rotation.
Students learn the precise definition of a reflection.
Students construct the line of reflection of a figure and its reflected image. Students construct the image of a figure when provided the line of reflection.
Students learn the precise definition of a translation and perform a translation by construction.
This is a PBL project that asked students to select a select a major period/style of architecture in history, research it to see how this genre influenced the major architectural design elements, and then synthesize the information as part of a redesigned college campus. The final designs are presented to working architects and used as a basis to prove key geometry standards in the Math 2 curriculum.
This video shows students how to graph Reflections.
This video shows students how to graph translations.
Students sketch triangles in a coordinte plane and make a series of conjectures for what occurs mathematically when you multiply coordinates by various numbers.
In this task students will write precise definitions for the three rigid-motion transformations, based on the observations they have made in the previous tasks in this learning cycle. To prepare students for writing their own definitions, they will study the language used in the definitions given for circle, angle, and angle of rotation. They will also write a definition for the word degree based on the information given. In part 2 of this task students will use their definitions to justify that multiple images have been correctly drawn based on specified transformations. As part of this task students will also explore the idea that two consecutive reflections produce a rotation when the lines of reflection are not parallel.
In this Khan Academy activity, students will determine which properties are preserved after a rigid transformation.
In this Khan Academy activity, students will solidify their understanding of what is preserved after a sequence of transformations.
Students will practice reflection/transltion of shapes with a card set and white boards. This is a lesson plan used to teach high school geometry. Materials are provided with the lesson.