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Platonic Solids
Students identify different types of polygons. In this geometry lesson, students differentiate between convex and regular shapes. they identify the names of two and three-dimensional objects.
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Geometry in Tessellations
Students examine tessellations and their geometric properties. Students also develop a better understanding of lines, planes, angles, and polygons.
Curated OER
Tile Patterns II: Hexagons
After learning that the sum of interior angles for triangles is 108 degrees, take it further to show that the sum of angles in any polygon is the same! Using hexagons, pupils practice finding the measure of the six congruent angles. Make...
Mascil Project
Circular Pave-Stones Backyard
Pack the lesson into your plans. Young mathematicians learn about packing and optimization with the context of circular paving stones. They use coins to model the paving stones, and then apply knowledge of circles and polygons to...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
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Tunnel Traps
Students identify shapes that match specific shape descriptions involving a range of geometric terms and correct polygon names. They utilize a mathematics educational software program to gain practice.
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Geometry: Lesson 2
Eighth graders engage in a instructional activity that is concerned with examining two dimensional figures with different properties that include circles, triangles, queadrilaterals, etc... They identify the types of figures that is...
Curated OER
Pape's Theorems
In this math worksheet, students find the length of the side of a regular hexagon whose area is numerically equal to its perimeter.
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Hexagon Island
Students identify different polygons. In this geometry lesson, students name polygons using the number of sides. They calculate distance and slopes using the correct formula.
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Discovering Perimeter
Twelfth graders apply perimeter measurement to items found in newspapers and calculate the cost in terms of feet or yards. They share answers and explanations with classmates.
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Math: Shapes and More Shapes
Students locate lines of symmetry in regular polygons and predict the number of lines of symmetry in an octagon. In three different polygons, they construct all lines of symmetry and after making their prediction about the octagon,...
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Exploring and Creating Tessellations
Students use translations, rotations, and reflections to create tessellations. They explore and construct several different types of tessellations including pure/semi-pure and non-regular polygon and "Escher-like" tessellations .
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Traditional American Indian Lodges
Young scholars explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size...
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Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to...
Mathematics Assessment Project
Evaluating Statements About Length and Area
Class members complete an assessment task by identifying whether statements about triangles and quadrilaterals are always true, sometimes true, or never true. They then participate in a sorting activity with the same objective.
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Back to the Bees (Tesselations)
Sixth graders observe the creation of a tessellation with hexagons. In groups, they work with polygons to discover what shapes can be used to create tessellations and explore the angle measurements of each shape. Using internet websites,...
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Polygonal Strings
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
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Noughts
Students try to figure out the strategies to the game Noughts. Students logic must play a part in the process of the game. Students apply the symmetries of regular polygons. Students devise ways to critically follow a chain of reasoning.
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Introducing Tessellations
Students create tessellations to increase their knowledge of the applications of geometry. They explore the different shapes of polygons.
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Tessel Your Way to Nagano!: Olympics, Winter Sports, Snowboarding, Graphic Design, Geometry, Math, M.C. Escher, Tessellations
Students create Post-It note fundamental regions to tesselate. They make tesselations using computer software or websites. They create a jacket design with tesselation and determine the cost of production.
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Moving On: Octagoning the Circle
Students explore circles through the use of octagons. They inscribe a circle in a regular octagon and find the area and perimeter of the hexagon with respect to the radius of the circle. Students present their findings to the class.
Curated OER
Tessellations
Students create tessellations. In this geometry lesson, students use polygons to create different patterns by rotation. They identify the reasons for polygons to create the type of tessellation it does.
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Keeping in Shape
Third graders describe patterns in terms of reflection and rotation symmetry, and translations. They design and make a pattern which involves translation, reflection, or rotation. They demonstrate why a given tessellation covers the...
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