Lesson Plan
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Illustrative Mathematics

Why Does SSS Work?

For Teachers 9th - 10th Standards
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...
Lesson Plan
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Illustrative Mathematics

Similar Triangles

For Teachers 9th - 11th Standards
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...
Assessment
Mathematics Assessment Project

Aaron's Designs

For Teachers 6th - 8th Standards
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.
Activity
PBL Pathways

Arch Project

For Students 10th - Higher Ed Standards
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...
Printables
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Houghton Mifflin Harcourt

Unit 6 Math Vocabulary Cards (Grade 5)

For Students 5th Standards
Acute angles, nets, and vertices are only a few terms that a set of flash cards includes. Among the 108 cards, two types are available; word cards printed in bold-faced lettering, and corresponding definition cards equipped with an...
Printables
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Houghton Mifflin Harcourt

Unit 8 Math Vocabulary Cards (Grade 5)

For Students 5th Standards
Reinforce math vocabulary with a set of flash cards. With a total of forty-eight cards, each are printed in bold font, and include definition cards that offer a labeled example. Terms include absolute value, ordered...
Printables
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Houghton Mifflin Harcourt

Unit 5 Math Vocabulary Cards (Grade 6)

For Students 6th Standards
Acute angle, line of symmetry, and vertex are a few terms you'll find in a set of 90 flashcards designed to reinforce math vocabulary. Included in the set are two types of cards; a word card printed in bold font, and a...
Lesson Plan
EngageNY

Why Move Things Around?

For Students 8th Standards
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. 
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Lesson Plan
EngageNY

Characterize Points on a Perpendicular Bisector

For Students 9th - 10th Standards
Learn transformations through constructions! Pupils use perpendicular bisectors to understand the movement of a reflection and rotation. They discover that the perpendicular bisector(s) determine the line of reflection and the...
Worksheet
Curated OER

Unit 7 Transformations

For Students 7th - 9th
In this transformations worksheet, students observe the errors in the reflection of a picture.  They determine the number of transformations needed to complete a grid.  Students perform reflections according to directions and...
Worksheet
Curated OER

Graph Transforms

For Students 10th
In this graph transforms instructional activity, 10th graders solve and complete 15 various types of problems. First, they evaluate each function and sketch the graph. Then, 10th graders determine why two transformation illustrated are...
Worksheet
Curated OER

Reflections

For Students 10th
In this reflections activity, 10th graders solve and complete 34 different problems that include determining various reflections. First, they trace the figure and draw its reflection in each line. Then, 10th graders use the diagram shown...
Worksheet
Curated OER

Unit 14 - Loci and Transformations

For Students 9th - 12th
In this transformations activity, students solve 25 short answer problems.  Kids dilate, reflect, and translate points and figures in the coordinate plane.  Students determine scale factors and lines of symmetry of figures.
Worksheet
Curated OER

Transformations

For Students 11th - 12th
In this algebra worksheet, students identify different transformations based on the x and y axis reflections. They use vectors to do their translations. There are 28 questions.
Lesson Plan
Curated OER

Translations, Reflections and Rotations

For Teachers 5th
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
Lesson Plan
Curated OER

Identifying Lines of Symmetry and Creating Reflections over a Line

For Teachers 6th - 8th
Fifth graders review the concept of a line of symmetry by using pieces of paper that have pictures such as, letters of the alphabet, polygons, and designs made from polygons in order to determine if they have symmetry. The fine,...
Lesson Plan
Curated OER

Twists and Turns

For Teachers 5th - 7th
Learners reflect, rotate, translate, and dilate figures in the Cartesian coordinate plane using grid paper and dot paper. They use transformations (i.e., reflections, translations, rotations, and dilations) to describe geometric patterns...
Interactive
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GeoGebra

Leaping Lizards

For Students 9th - 12th Standards
Transform lizards onto different locations. The interactive provides a diagram of a lizard and several locations. Pupils use their knowledge of transformations to move the lizard to the different locations and use the tools of GeoGebra...
Lesson Plan
Curated OER

Dihedral Figures

For Teachers 6th - 12th
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.
Lesson Plan
Bowland

Pointzero: Confined

For Teachers 6th - 8th Standards
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes...
Lesson Plan
Curated OER

Point Comparisons

For Teachers 7th - 9th Standards
Young geometers investigate two-dimensional figures using coordinate grids. They identify polygons and draw examples of their reflection, rotation, and translation on a coordinate grid. And they complete a worksheet practicing examples...
Assessment
EngageNY

End-of-Module Assessment Task — Precalculus (Module 1)

For Teachers 11th - 12th Standards
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
Lesson Plan
EngageNY

End-of-Module Assessment Task - Geometry (module 1)

For Students 9th - 10th Standards
Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...