Curated OER
Matrix Transformations
Students perform reflections of polygons. In this algebra instructional activity, students use matrices to calculate the reflection across the x and y axis. They also calculate rotation representing 90 and 180 degrees around the origin...
Curated OER
Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
Curated OER
Chapter 8 Vocabulary: Geometry
In this vocabulary worksheet, students match the vocabulary word to its proper definition. They identify words such as symmetry, scale factor, coordinate plane, rotation, reflection, and translation.
Virginia Department of Education
Translation and Reflection
Bring about the change you want to see in the world or at least in your lesson plans. Young mathematicians learn about translation and reflections by applying them to polygons on the coordinate plane. Results provide data to develop...
Virginia Department of Education
Dilation
Open up your pupils' eyes and minds on dilations. Scholars perform dilations on a trapezoid on the coordinate plane. They compare the image to the preimage and develop generalizations about dilations.
Curated OER
Exploring Transformations
Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth activity 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
Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
Curated OER
Transformations in the Coordinate Plane: Reteach
In this transformations learning exercise, students review the terms and example diagrams for a translation, reflection, and rotation. Students then identify the coordinates for a triangle after completing the given transformations in...
Curated OER
Constructing Tangrams
Seventh graders visualize and identify geometric shapes after applying transformations on a coordinate plane. In this tangrams lesson, 7th graders construct a set of tangrams and then answer extension questions related to measurement,...
Curated OER
Constructing Tangrams
Sixth graders are introduced to how geometry and algebra are related. In groups, they graph various points on a coordinate plane and write the ordered pair for each quadrant. Using this information, they create their own tangrams to...
Curated OER
Transformations Using the Geometer's Sketchpad
Students discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
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...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson 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 32-part...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
Charleston School District
Constructing Reflections
An informative video and handout provide the basic information needed to reflect any pre-image across either of the axes on the coordinate plane. The printed resource provides a preview of reflecting across lines other than an axis....
Curated OER
Transformations with Functions
In this transformations worksheet, students solve and graph 8 different problems related to various forms of functions. First, they write the equation for the graph of a function given. Then, students describe the transformations that...
Mathematics Assessment Project
Aaron's Designs
Learners first create designs for greeting cards by applying transformations of shapes on a coordinate plane, and then determine a sequence of transformations that produces a given design.
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Curated OER
Geometric Transformations
Students solve problems involving transformations of geometric figures. They review graphing points in the coordinate plain, plot points and connect to create a triangle. Then, they reflect triangles over the x and y axis and use...
Curated OER
Using Graphs
In this using graphs worksheet, 9th graders solve and complete 6 different types of problems. First, they determine how the transformation shown moves the graph. Then, students find the interval that is defined given the coordinates....
Curated OER
Multivariable Calculus: Curvilinear Coordinates
For this curvilinear coordinate worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
Curated OER
Complex Analysis: Transformations
In this transformation worksheet, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page worksheet contains six...