Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in...
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![Page 1: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/1.jpg)
Shapes in the environmentby
Brenda Bush
![Page 2: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/2.jpg)
We are going to explore geometric ideas ‘hidden’ in this house.
Triangles
Quadrilaterals
Polygons
Transformations
Angles
![Page 3: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/3.jpg)
What shapes do you see?
![Page 4: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/4.jpg)
Semi circleSquareCircleRectangleDiamond
![Page 5: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/5.jpg)
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
![Page 6: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/6.jpg)
Here are a few. Did you find other triangles?
![Page 7: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/7.jpg)
Can you find quadrilaterals?
Quadrilateral- any simple closed figure with four straight lines.Parallelogram- a quadrilateral with 2 pairs of parallel sidesRectangle- a parallelogram with 90-degree anglesRhombus- a parallelogram with all sides equalTrapezoid- a quadrilateral with at least one pair of parallel sidesIsosceles trapezoid- A trapezoid whose two nonparallel sides are the same
length.Kite- a quadrilateral with 2 pairs of adjacent sides equalSquare- A four-sided polygon having equal-length sides meeting at right angles
![Page 8: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/8.jpg)
Here are a few did you find others?
Diamond
Square
Rectangle
Trapezoid
![Page 9: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/9.jpg)
Can you find a polygon with more than 4 sides?
![Page 10: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/10.jpg)
Here is an example of a polygon with more than 4 sides. What others can you find?
Hexagon
![Page 11: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/11.jpg)
Can you find a symmetric polygon?
Symmetric polygon – is one that when it is fold onto itself it will match
![Page 12: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/12.jpg)
Here is an example of a symmetric polygon. What examples did you find?
Vertical symmetry
Horizontal symmetry
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Can you find a non-symmetrical polygon?-Is a polygon that can not be folded onto its self
![Page 14: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/14.jpg)
Here is an example of a non-symmetric polygon. What examples do you have?
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Can you find a concave polygon?- concave polygon: is a that has one or more interior
angles greater than 180 degrees.
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Here is an example of a concave polygon. What examples did you find?
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Can you find a polygon composed by 2 or more smaller polygons?
![Page 18: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/18.jpg)
Here is an example did you find others?
![Page 19: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/19.jpg)
Can you find an Acute angle, Right angle, and an Obtuse angle?
Acute angle- is an angle that is less than 90 degreesRight angle- equals 90 degreesObtuse angle- is greater than 90 degrees
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Here are some examples of an acute, right and obtuse angle. What are some examples you found?
Obtuse
Acute
Right
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Can you find a congruent angle?
Congruent angles have the same angles in degrees
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Here is an example of congruent angles. What examples did you find?
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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
![Page 24: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/24.jpg)
Examples of Adjacent anglesWhat examples did you find?
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Examples of Complementary anglesWhat are some examples you found?
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Examples of Supplementary anglesWhat examples did you find?
![Page 27: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/27.jpg)
Can you find Parallel lines?Parallel lines are lines that never intersect.
![Page 28: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/28.jpg)
Examples of Parallel linesWhat examples did you find?
![Page 29: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/29.jpg)
Can you find intersecting lines that are not perpendicular?
Intersecting lines- are two lines that cross at one point
![Page 30: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/30.jpg)
Examples of intersecting linesWhat examples did you find?
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Can you find Perpendicular lines?
Perpendicular lines- form 90 degree angles
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Examples of perpendicular linesWhat examples did you find?
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Mirror image/reflectionsCan you find images that can be reflected
onto another image?
![Page 34: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/34.jpg)
Examples of mirror image/reflectionWhat examples do you have?
![Page 35: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/35.jpg)
Can you find images that have rotation?
Rotation- an image can be rotated onto another
image. When it is rotated it will match
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Examples of RotationWhat examples did you find?
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Can you find figures that have slide/translation?
Slide/translation- is one image that moves onto another image
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Examples of slide/translationWhat examples did you find?
![Page 39: Shapes in the environment by Brenda Bush. We are going to explore geometric ideas ‘hidden’ in this house. Triangles Quadrilaterals Polygons Transformations.](https://reader035.fdocuments.net/reader035/viewer/2022062621/551c08265503469e4f8b4fa3/html5/thumbnails/39.jpg)
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
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Galileo Galilei. 1564-1642. Italian astronomer, mathematician, and physicist.The universe cannot 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.
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