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Shapes in the Environment - Exploring Geometric Ideas Hidden in the House

Let's discover geometric concepts within the home environment! Identify shapes, polygons, angles, and symmetries present in everyday objects using triangle, quadrilateral, transformation, and angle concepts. Uncover a variety of shapes and observe the properties of different polygons. Explore angles, lines, and reflections through hands-on activities. This engaging resource is aligned with math education standards aimed at enhancing spatial awareness and geometric understanding.

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Shapes in the Environment - Exploring Geometric Ideas Hidden in the House

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  1. Shapes in the environmentbyBrenda Bush

  2. We are going to explore geometric ideas ‘hidden’ in this house. • Triangles • Quadrilaterals • Polygons • Transformations • Angles

  3. What shapes do you see?

  4. Semi circle • Square • Circle • Rectangle • Diamond

  5. Can you find a right, an obtuse, an acute, and an equilateral triangle? • Right triangle- has one angle that is 90 degrees • Acute triangle – all angles are less than 90 degrees • Obtuse triangle – one angle is greater than 90 degrees • Equilateral triangle – all sides are equal and all angles are equal

  6. Here are a few. Did you find other triangles?

  7. Can you find quadrilaterals? • Quadrilateral- any simple closed figure with four straight lines. • Parallelogram- a quadrilateral with 2 pairs of parallel sides • Rectangle- a parallelogram with 90-degree angles • Rhombus- a parallelogram with all sides equal • Trapezoid- a quadrilateral with at least one pair of parallel sides • Isosceles trapezoid- A trapezoid whose two nonparallel sides are the same length. • Kite- a quadrilateral with 2 pairs of adjacent sides equal • Square- A four-sided polygon having equal-length sides meeting at right angles

  8. Here are a few did you find others? • Diamond • Square • Rectangle • Trapezoid

  9. Can you find a polygon with more than 4 sides?

  10. Here is an example of a polygon with more than 4 sides. What others can you find? Hexagon

  11. Can you find a symmetric polygon? • Symmetric polygon – is one that when it is fold onto itself it will match

  12. Here is an example of a symmetric polygon. What examples did you find? Vertical symmetry Horizontal symmetry

  13. Can you find a non-symmetrical polygon?-Is a polygon that can not be folded onto its self

  14. Here is an example of a non-symmetric polygon. What examples do you have?

  15. Can you find a concave polygon?- concave polygon: is a that has one or more interior angles greater than 180 degrees.

  16. Here is an example of a concave polygon. What examples did you find?

  17. Can you find a polygon composed by 2 or more smaller polygons?

  18. Here is an example did you find others?

  19. Acute angle- is an angle that is less than 90 degrees Right angle- equals 90 degrees Obtuse angle- is greater than 90 degrees Can you find an Acute angle, Right angle, and an Obtuse angle?

  20. Here are some examples of an acute, right and obtuse angle. What are some examples you found? Obtuse Acute Right

  21. Can you find a congruent angle? • Congruent angles have the same angles in degrees

  22. Here is an example of congruent angles. What examples did you find?

  23. Can you find Adjacent, Complementary, or supplementary angles? • Adjacent angles- two angle in a plane that share a common vertex and a common side but do not overlap • Complimentary angle- add up to 90 degrees • Supplementary angles- add up to 180 degrees

  24. Examples of Adjacent anglesWhat examples did you find?

  25. Examples of Complementary anglesWhat are some examples you found?

  26. Examples of Supplementary anglesWhat examples did you find?

  27. Can you find Parallel lines? • Parallel lines are lines that never intersect.

  28. Examples of Parallel linesWhat examples did you find?

  29. Can you find intersecting lines that are not perpendicular? • Intersecting lines- are two lines that cross at one point

  30. Examples of intersecting linesWhat examples did you find?

  31. Can you find Perpendicular lines? • Perpendicular lines- form 90 degree angles

  32. Examples of perpendicular linesWhat examples did you find?

  33. Mirror image/reflectionsCan you find images that can be reflected onto another image?

  34. Examples of mirror image/reflectionWhat examples do you have?

  35. Can you find images that have rotation? • Rotation- an image can be rotated onto another image. When it is rotated it will match

  36. Examples of RotationWhat examples did you find?

  37. Can you find figures that have slide/translation? • Slide/translation- is one image that moves onto another image

  38. Examples of slide/translationWhat examples did you find?

  39. Standards targeted in this are: • 3.G.1 Define and use correct terminology when referring to shapes. • 3.G.2 Identify congruent and similar figures • 3.G.5 Identify and construct lines of symmetry • 4.G.6 Draw and identify intersecting, perpendicular, and parallel lines • 4.G.8 Classify angles as acute, obtuse, right, and straight • 5.G.6 Classify triangles by properties of their angles and sides • 5.G.11 Identify and draw lines of symmetry of basic geometric shapes

  40. Galileo Galilei. 1564-1642. Italian astronomer, mathematician, and physicist.The universecannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word.Opere Il Saggiatore

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