Dimensional Relationships
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Relationships between 2- and 3- dimensions |
Students will analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships. |
Congruence Challenge (properties of parallelograms)
This task challenges students to apply what they know about parallel and intersecting lines, parallelograms, and the angles and segments related to these figures to solve a geometric problem in a purely mathematical context. It requires students to think about how to approach the problem and to justify their work.
"Don't Be a Square" - Know the Characteristics of Quadrilaterals
This lesson is designed to help geometry students discover characteristics of quadrilaterals. The lesson should be used after students have been taught the basic definitions of trapezoids, parallelograms, rectangles, squares, and rhombi. Technology-based and hands-on activities are included.
Geometrica Fights Back (Quadrilaterals)
Overview/Annotation: This activity is designed to give students practice with the properties of special quadrilaterals (parallelograms, rectangles, rhombuses, squares, trapezoids, and kites). The students are provided with a "murder mystery" sheet with descriptions of each "suspect" and a "line-up" of twelve suspects (different quadrilaterals with their properties). The students must decide which suspect(s) from the line-up meets the description. The "guilty" quadrilateral will be discovered at the end of the activity.
Let’s Tessellate (Discover and apply tessellations)
This lesson is a hands-on, technology-based project that will take place in the classroom and computer lab. Students will discover which regular polygons tessellate the plane by constructing polygonal tessellations. Students will also use a spreadsheet to calculate the area and perimeter of the polygons.
Awesome video - Demonstrates the construction of the five platonic solids
Weekend projects – Picnic Geometry (Platonic solids)
Have fun - make an Icosahedron out of paper plates!
This is a hands-on activity that introduces students to the five Platonic solids. Students will discover the special relationship between faces, vertices, and edges. Students will research the Platonic solids and then construct and decorate Platonic solids ornaments
Regional Triangles (Apply properties of circles & triangles)
This task may be used with students who have various levels of geometric understanding to emphasize geometric vocabulary, apply basic theorems involving circles, make conjectures, and justify or prove conjectures.
SEN TEACHER – free special needs teaching resources (3-d shapes)
Using Cubes and Isometric Drawings
Isometric drawings lesson plan
Students explore drawing a mat plan when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the mat plan.
Use this interactive tool to create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes. You can shift, rotate, color, decompose, and view in 2‑D or 3‑D. Start by clicking on the cube along the left side; then, place cubes on the grid where you would like them.
Math Open Reference – Demonstration of Euclidean Constructions
These entries demonstrate Euclidean constructions - where we draw geometric shapes using only a compass and straightedge. No measurement of length (with a ruler) or angles (with a protractor) is allowed.
Constructions included:
Chinese Restaurant (Geometric constructions)
This task allows students to see how geometric constructions can be used to inform decisions about where to locate a business. It provides opportunities to use pencil-and-paper construction or geometric software (or both) to solve the problem and software to explore or verify conjectures.