Shapes and Designs: Investigation 4: Building Polygons
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SHAPES
• Library of Virtual Manipulatives
• Geoboard – Use geoboards to illustrate area, perimeter, and rational number concepts. Geoboard - Circular – Use circular geoboards to illustrate angles and degrees. Geoboard - Coordinate – Rectangular geoboard with x and y coordinates. Geoboard - Isometric – Use geoboard to illustrate three-dimensional shapes.
• Baseball Geometry Activity

Practice identifying types of triangles: obtuse, right, isoleses and equilateral. Learn how to find the area of a triange and use the Pythagoran Theorem to find the length of the hypotenuse.

Identify different polygons. Learn to find the perimeter of a rectangle and the area of a rectangle.

Circle: find the circumference and the area.

Review what you've learned about geometry

Angles and Lines

Polygons

Area and Perimeter

Translations

• Worsley School Symmetry, Reflections, Transformations
• BBC Bitesize Symmetry,Transformations 1, Transformations 2
• National Library of Virtual Manipulatives
• Transformations - Composition – Explore the effect of applying a composition of translation, rotation, and reflection transformations to objects. Transformations - Dilation – Dynamically interact with and see the result of a dilation transformation. Transformations - Reflection – Dynamically interact with and see the result of a reflection transformation. Transformations - Rotation – Dynamically interact with and see the result of a rotation transformation. Transformations - Translation – Dynamically interact with and see the result of a translation transformation. Shapes and Designs
(University Of Michigan)

Concept with Explanation
Selected Homework from ACE

Shapes and Designs was created to help students to:

• Understand some important properties of polygons and recognize polygonal shapes both in and out of the classroom;

• Investigate the symmetries of a shape-rotational or reflectional;

• Estimate the size of any angle using reference to a right angle and other benchmark angles;

• Use an angle ruler for making more accurate angle measurements;

• Explore parallel lines and angles created by lines intersecting parallel lines;

• Find patterns that help determine angle sums of polygons;

• Determine which polygons fit together to cover a flat surface and why;

• Explain the property of triangles that makes them useful as a stable structure for building;

• Reason about and solve problems involving shapes.

 Vocabulary
 Picture Vocabuary angle side parallel: lines in a plane that never meet perpendicular: lines at right angles to each other right angle: an angle of 90 degrees quadrilateral: four sided polygon triangle: three sided polygon pentagon: five sided polygon hexagon: six sided polygon heptagon: seven sided polygon octagon: eight sided polygon symmetric, reflection symmetry: a shape whose reflection is an identical shape angle sum: verical angles: angles that are opposite at an intersection of lines. complementary: two angles that add up to 90 degrees supplementary: two angles that add up to 180 degrees acute: an angle less than 90 degrees obtuse: an angle greater than 180 degrees ray: a part of a line starting at a point and including all points to one side. rectangle: a parallelogram with 4 right angles (including squares) regular polygon: a polygon with all sides of equal length rhombus: a quadrilateral with all sides of equal length right triangle: has one 90 degree or right angle rotation symmetry: a shape that can be rotated less than 360 degrees and look the same. scalene triangle: no side lengths are equal straight angle: 180 degree angle tiling: aka tesselation: covering a surface with shapes that leave no gaps.