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Mathematics Vision Project
Module 2: Congruence, Construction and Proof
Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...
EngageNY
Reflections
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
EngageNY
Rotations
Searching for a detailed lesson to assist in describing rotations while keeping the class attentive? Individuals manipulate rotations in this application-based lesson depending on each parameter. They construct models depending on the...
Curated OER
Escher-Esque Tessellations
Middle and high schoolers participate in a seven-part lesson creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet research, and...
Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Discovery Education
Exploring Geometry
Middle schoolers construct a three-dimensional model of a city using both similar and congruent figures and geometric transformations. City must have at least ten buildings with each building labeled and may be constructed out of paper...
Curated OER
Transformations: Reflections
Young scholars perform transformations on their graphs. In this algebra lesson, students identify the pre-image and image. They find and identify congruent shapes and isometry.
Curated OER
Transformations and Translations
In this transformations/translation learning exercise, students draw transformations based on shapes and vectors of given translations. A reference web site is given for additional activities.
Curated OER
Conics in Geometry
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry lesson plan. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
Texas Instruments
Transformational Puppet
High Schoolers create a puppet and make predictions using the TI Navigator. In this math lesson, they will discuss their results as they explore transformation. This assignment requires the TI navigator or a smartboard.
Curated OER
Geometry and Rubik's Cube
Students explore geometry using a Rubik's Cube. In this 2-D and 3-D shapes instructional activity, students use the Rubik's Cube to find the center, edge and corner pieces. Students then find the dimensions of the Rubik's Cube and read...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
Virginia Department of Education
Logic and Conditional Statements
If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...
Curated OER
Miras, Mirrors, and Kaleidoscopes!
High schoolers use hands-on activities to explore transformations. They view a video segment that demonstrate how M. C. Escher employed geometry and transformations to create so many of his famous drawings.
Curated OER
Dilations in the Plane
Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Students extend the concept of dilatation to the coordinate plane.
Curated OER
Transformation Trio
Students identify the transformation and rotation of polygons. For this geometry lesson, students use picture to perform rotation, reflection and transformation. They identify the coordinate points of the new transformation.
EngageNY
Why Move Things Around?
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions.
Illustrative Mathematics
Why Does SSS Work?
While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
EngageNY
Discovering the Geometric Effect of Complex Multiplication
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Curated OER
Geometry Standardized Test Practice
In this figures and graphs review instructional activity, 10th graders solve and complete 23 various types of problems that include identifying various figures and graphs. First, they name the transformation that maps the unshaded figure...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, high schoolers use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of...
Curated OER
Geometry: Translations and Reflections
Group work and participation is used to perform a specified translation or reflection. In this geometrical translation instructional activity, small groups of pupils are each given a shape to plot on a coordinate grid. Each shape is then...