Curated OER
Unit 14 - Loci and Transformations
In this transformations worksheet, learners solve 25 short answer problems. Students dilate, reflect, and translate points and figures in the coordinate plane. Learners determine scale factors and lines of symmetry of figures.
Charleston School District
Identifying Series and Determining Congruence or Similarity
Learners consider a set of questions to determine a series of transformations that will move one figure to another. Once the series is determined, the pupil then determines whether the pre-image and image are either congruent...
EngageNY
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
Inside Mathematics
Aaron's Designs
Working with transformations allows the class to take a turn for the better. The short assessment has class members perform transformations on the coordinate plane. The translations, reflections, and rotations create pattern designs on...
EngageNY
Basic Properties of Similarity
Does the symmetry and transitive property apply to similarity? The 10th segment in a series of 16 presents the class with a group of explorations. The explorations have pairs show that similarity is both symmetrical and transitive....
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Charleston School District
Constructing Rotations
An instructive lesson provides the basics on how to perform rotations on the coordinate plane. The handout also covers rotating about a point other than the origin and how to perform a series of transformations.
Virginia Department of Education
Transformations
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
Curated OER
What's My Ratio?
Students investigate ratios of various objects. In this ratios of various objects lesson plan, students draw pictures on graph paper and then dilate or shrink the image. Students determine the ratio of their pictures. ...
Curated OER
Transformations Homework
In this geometry worksheet, students transform a coordinate based on a reflection, translation, or dilation in order to obtain the image. There are 12 questions.
Curated OER
Similar Triangles - Geometry Exploration
Eighth graders become engaged in a activity in geometry to improve mathematical skills. They construct triangles, segments, and points using Geometer's Sketchpad to demonstrate how dilations of triangles and rectangles change geometric...
Curated OER
Let the Matrix Do It
Students create a matrix of the vertices of a triangle and produce new matrices that dilate, translate, rotate, and reflect the original triangle. After multiplying each matrix by a new scale factor, they graph the new matrix and...
Curated OER
Introduction to Unit V-Transformations
Students investigate transformations. In this Algebra I/Geometry activity, students explore reflections, translations, rotations and dilations. The activity includes examples of transformations in art, architecture, and...
Curated OER
Data Representation
Students solve real life scenarios using math. In this geometry lesson, students collect, predict and interpret data. They measure a chair using different measurements and choose what would make the chair the best design.
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Virginia Department of Education
Rotation
Rotate this resource into your lesson plans. Scholars rotate polygons in the coordinate plane by multiples of 90 degrees. They then compare the original and new figures to develop conjectures about coordinate points after rotations.
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...
Curated OER
Dilations of 2 and 3 dimentional figures and their effect on area, surface area, and volume.
Seventh graders investigate the area and volume of 2D and 3D figures. In this geometry lesson, 7th graders create a storyboard explaining their knowledge of 2D and 3D shapes. They analyze their data and interpret their...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
EngageNY
Matrix Multiplication and Addition
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
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
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.