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2D Shapes: Circle, Semi-Circle, Square, Rectangle, Triangle, Polygon, Hexagon, Heptagon, Octagon, Nonagon, Decagon.
3D Shapes: Sphere, Cone, Cylinder, Prism, Pyramid, Cube, Cuboid.
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Triangle - 3, Quadrilateral - 4, Pentagon - 5, Hexagon - 6, Heptagon - 7, Octagon - 8, Nonagon - 9, Decagon - 10.
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Cylinder, Cone, Sphere, Cube, Rectangular Prism, Pyramid
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Right Angle, Acute Angle, Obtuse Angle, Bisected Angle, Perpendicular Lines, Intersecting Lines, Parallel Lines.
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A symmetrical figure can be divided in half, and both sides will be that same size and shape. Some figures have more than one line of symmetry.
Activities on back; support National Council of Teachers of Mathematics (NCTM) standards.
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Point - Shows location; Line - Goes on forever in one direction; Line Segment - Connects two points; Ray - Goes on forever in one direction; Parallel Lines - Run in the same direction and are the same distance apart at every point; Intersecting Lines - Cross each other at only one point.
Activities on back; support National Council of Teachers of Mathematics (NCTM) standards.
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Triangles - A triangle is a figure with three sides and three angles. The angles of a triangle always add up to 180 degrees (º).
Isosceles - 2 equal sides; Equilateral - 3 equal sides; Scalene - no equal sides; Right - 1 angle is 90 degrees; Obtuse - 1 angle is greater than 90 degrees; Acute - 3 angles are less than 90 degrees.
Activities on back; support National Council of Teachers of Mathematics (NCTM) standards.
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Polyhedra in Our World - A polyhedron is a three-dimensional solid bounded by plane faces, each of which is a polygon.
A regular polyhedron, or Platonic solid, is one in which each ace is a regular polygon of the same type and in which the same number of faces meet at each vertex.
A prism has two parallel faces that are congruent polygons, and sides that are parallelogram.
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Tessellations in Our World - A tessellation is a collection of shapes called tiles that fit together without gaps or overlays to cover a surface.
A tesselation is periodic if it can be moved by some distance in some direction and remain unchanged.
Many tessellations are based on one or two prototiles - tiles to which all of the tiles in the tesselation are similar.
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Fractals in Our World - A fractal is a geometric pattern that exhibits self similiarity.
Repeatedly zooming in on a fractal reveals similar structureon different scales.
Fractal dimension is a measure of complexity ...
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Tessellations, set of 4 - Introduction, Reflection, Rotation, Translation
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Tessellations - Includes 8 page lession guide.
Photographic composite poster llustrating real-world tessellations in nature and human-made objects.
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Tessellations - Includes 8 page lession guide.
Creature-motif tessellations.
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The Circles of Descartes - In the early part of the 17th century Rene Descartes described a simple relationship between the curvatures of four mutually tagent circles. Given the curvatures of three of the circles, it is possible to calculate the curvature of the fourth by a solution of a quadratic equations, creating fascinating figures known as Apollonian packings.
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