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...
Curated OER
Symmetry In Nature
Students investigate the symmetry that is found in nature. They view shapes and patterns in nature while looking at images. Students look for tessellations while obtaining photographs with a digital camera. The information is used for...
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Six Squares
Students create different shapes on grid paper. In this two-dimensional geometry lesson plan, students take turns outlining a shape made of six squares on the graph paper. They identify all shapes they see once everyone has...
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Exploring Transformations: Translations and Reflections
Learners perform translation and reflection. They identify the coordinate points of the new graph and create a formula for the movement. They identify the pre-image the and after image.
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Identifying Points in the Coordinate Plane
For this ordered pairs worksheet, students identify 6 ordered pairs given a coordinate plane. Students list the ordered pair given the graph.
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Transformations on the Coordinate Plane
Here is a study guide on transformations that includes reflections, translations, dilations, and rotations. It also has definitions, helpful diagrams, and several examples involving transformations on the coordinate plane. The lesson...
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Transformations
In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
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Geometry of Radio Meteor Reflections
Ninth graders investigate and describe ways that human understanding of Earth and space has depended on technological development. They describe and interpret the science of optical and radio telescopes, space probes and remote sensing...
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Perfectly Puzzling Pentominoes
Second graders utilize manipulatives (pentominoes) to demonstrate knowledge of: lines of symmetry, slides, reflections (flips), rotations (turns), area, and perimeter. This lesson gives students a meaningful way to practice these...
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Reflections
Fifth graders create a reflection of a poygon using a Mira. They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection. Students create a glide...
EngageNY
Similarity
Use the coordinate plane to show two figures are similar. The lesson incorporates congruence transformations and dilations to move a figure on to another figure. Pupils determine that if a similarity transformation exists...
Mascil Project
Pottery
Don't cry over broken pottery. A cross-curricular lesson plan challenges pupils to consider how to restore ancient pottery. Using a computer program and their knowledge of transformations, they come up with a way to recreate the original...
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Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
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.
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Building Buildings
Seventh graders investigate 2-D and 3-D objects. In this geometry lesson, 7th graders begin to understand spatial reasoning. Students look at pictures of the NYC Skyline and discuss what it looks like from different views. Students use...
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Naming Points on the Coordinate Plane
In this naming points on the coordinate plane instructional activity, students name 6 coordinates off of 6 graphs. Students name the x and y-coordinates of 6 different points in all four quadrants.
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Tantalizing Tangrams: What Are Transformations?
Students use the Internet to learn about transformations and tessellations. In this geometry lesson, students use the Internet to define the meaning of reflections, translations, rotations, glide reflection and symmetry. ...
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Scenario Challenge
Students create a quilt, using different patterns. In this geometry lesson, students apply prior knowledge as they use different patterns to help them create a quilt using transformations and geometric shapes.
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Recognize, create and Record Simple Repeating Patterns
Students analyze, create, and record repeating patterns. In this geometry instructional activity, students create shapes using patterns and keep track of the different shapes. They incorporate transformation and reflections into their...
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Count The Letters
Students perform activities involving ratios, proportions and percents. Given a newspaper article, groups of students count the number of letters in a given area. They use calculators and data collected to construct a pie chart and bar...
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What are Fractals?
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
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.
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Symmetries of a Quadrilateral I
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...