(State Board of Education of Ohio, 2002, p.2)Īfter eighteen years in the classroom, I agree wholeheartedly with this assessment.Īs educators in Ohio, we must provide students with the tools and opportunities that enable them to excel in ways specified by the Ohio Department of Education. It also helps the students to develop conceptual frameworks that lead to broader understandings. Combining social studies instruction with the study of other disciplines such as art and literature helps to reinforce the learning within each discipline. According to the Ohio Department of Education's recently adopted Academic Content Standards for Social Studies: Learning is enhanced when students make meaningful connections between new information that they are learning and their own experiences. These tessellations work because all the properties of a tessellation are present.STUDENTS LEARN BETTER when they relate their lessons to their own experiences. Both tessellations will fill the plane, there are no gaps, the sum of the interior angle meeting at the vertex is 360 ∘, 360 ∘, and both are achieved by translation transformations. The interior angle of a hexagon is 120 ∘, 120 ∘, and the sum of three interior angles is 360 ∘. There are three hexagons meeting at each vertex. An interior angle of a square is 90 ∘Figure 10.103, the tessellation is made up of regular hexagons. There are four squares meeting at a vertex. In Figure 10.102, the tessellation is made up of squares. For a tessellation of regular congruent polygons, the sum of the measures of the interior angles that meet at a vertex equals 360 ∘.In other words, if you were to draw a circle around a vertex, it would include a corner of each shape touching at that vertex. All the shapes are joined at a vertex.Shapes are combined using a transformation.(It was Escher who determined that a proper tessellation could have no gaps and no overlaps.)
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