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
Definition of Congruence and Some Basic Properties
Build a definition of congruence from an understanding of rigid transformations. The lesson plan asks pupils to explain congruence through a series of transformations. Properties of congruence emerge as they make comparisons to these...
Alabama Learning Exchange
The World of Integers
Review operations related to rational numbers and integers using the include PowerPoint presentation, "Interesting Integers." Young mathematicians classify rational numbers as being natural, whole, or integers and read an article about...
Project Maths
Complex Number Operations
What do animated videos have to do with mathematics? Using operations of complex numbers and their representations on the complex plane, high schoolers observe how mathematics could be used to move animations. The lesson provides an...
Charleston School District
Constructing Dilations
Pupils multiply the vertical and horizontal distances from the center of dilation by the scale factor. The independent practice prompts the class to analyze the relationship between the image and pre-image. The lesson is part three in a...
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 or similar.
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
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.
Curated OER
Transformation Trio
Students identify the transformation and rotation of polygons. In this geometry lesson, students use picture to perform rotation, reflection and transformation. They identify the coordinate points of the new transformation.
Curated OER
Tessellations
Students identify shapes that will tessellate. They construct a tessellation using transformations. Students identify transformations in tessellations. They identify applications of transformations such as tiling and fabric design.
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
Two-Step Linear Equations
In this two-step linear equations worksheet, 7th graders solve 15 various problems that include linear equations with more than one-step. First, they need to get the variable, x, alone by subtracting/adding the whole number on the same...
Curated OER
Congruent figures
In this congruency worksheet, students complete problems dealing with congruent and non-congruent figures. Students complete 5 short answer and multiple choice problems.
Curated OER
Congruence Activity
In this congruency worksheet, 5th graders complete 4 questions about congruent figures and transformations. Page has links to additional activities.
Curated OER
Shapes in Motion
Students practice moving different shaped objects through a series of transformations. In groups, they discuss other ways to manipulate the figure to achieve the same results. They solve multiple story problems in the same manner.
Curated OER
Lines of Symmetry
Young scholars practice dance to divide the space or body shape into equal sections to create symmetry in dance. In this symmetry lesson, students practice symmetrical and asymmetrical movements in dance. Young scholars participate in...
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.
Curated OER
Transformations
In this transformations activity, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
Curated OER
Symmetry with Shapes
Students analyze a symmetrical stamp design with an equal balance of light and dark to create a pattern in succession. In this shape design lesson, students review concepts of sign, symbol and language across cultures. Students analyze...
Curated OER
Punch Patterns
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
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
Powerful Polygons
Students scan the classroom to find different common shapes. They listen as the teacher defines polygon and regular polygon. The teacher demonstrates regular polygons via the Internet and the "Math is Fun" web site. Students go outside...
Curated OER
Transformations, Tessellations, and Technology
Students complete a unit about transformations and tessellations. They explore various tessellation websites, determine which shapes tessellate, complete a log about which website activities they complete, and create a tessellation...
Curated OER
A Geometry Worksheet - Similar Triangles
In this similar triangles worksheet, students find the scale factor of 6 sets of similar triangles. Students find the scale factor of two similar triangles given a sketch with measurements. Students use proportions to find a missing side...