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
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.
NY Learns
Investigation - Looking at Polygons
Middle schoolers construct polygons by plotting points on a coordinate plane. Pupils connect the points and identify which polygons they have drawn. They will need graph paper to carry out the assigned activities. A vocabulary list,...
Curated OER
Symmetries of a Quadrilateral II
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
Virginia Department of Education
Similar Figures
How similar do figures have to be to be similar figures? Individuals learn to identify similar figures by verifying that angles are congruent and sides are proportional. Additionally, they match the corresponding parts of similar figures.
Curated OER
Transformations
In this transformations worksheet, pupils draw the transformations of the triangles and parallelograms in graphs. They complete four drawings.
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...
Curated OER
Talking About Your Name in Math Terms
Add imagination and creativity to your math lesson. Young mathematicians investigate ways to express their names in mathematical terms. For instance, they can count the number of letters, analyze the geometric shapes of the letters, or...
Curated OER
Investigation-Looking at Polygons
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
Curated OER
Design Explorations: Frieze Patterns
Learners will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore examples...
Oleh Yudin
iCrosss
Did you know that a soccer ball is very similar to a truncated icosahedron? Both have 32 faces, but while a truncated icosahedron is made up solely of flat hexagons, a traditional soccer ball has 12 pentagons and 20 hexagons, each curved...
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
Interior/Exterior Polygon Angles and Tessellations
Students discover the sum of the interior and exterior angles of several polygons. For this Geometers sketchpad lesson, students work in groups to find the stated measurements of triangles, quadrilaterals, pentagons and hexagons....
Curated OER
An Introduction to Angles
Students identify and create angles. In this angle measurement lesson, students use sticks to make models of angles, then measure and name each angle.
Curated OER
Embossed Rose Window Designs
Students, after researching the history and foundation of Renaissance rose windows, access ArtEmboss to create an original window design. They employ a basic metalworking technique utilizing a soft metal. The design created incorporates...
Curated OER
Terrific Tangrams
Third graders construct tangrams. For this tangrams lesson, 3rd graders manipulate basic shapes to construct tangrams. Students explore how shapes can be combined in different ways and develop spatial sense.
Curated OER
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...
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This lesson introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
Curated OER
Quandaries, Quagmires, and Quadrilaterals
Students classify, flip, slide, and turn a quantity of quadrilaterals.
Curated OER
Transformations, Tessellations, and Technology
Middle schoolers 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...
Curated OER
Introduction to Fractals: Geometric Fractals
Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...
Curated OER
Talking about your name in math terms
Students talk about mathematical language. In this talking about your name lesson, students use the letters in their own name to review math vocabulary and concepts.
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.