Shapes in the environment by Brenda Bush

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

What shapes do you see?

Semi circle Square Circle Rectangle Diamond

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

Here are a few. Did you find other triangles?

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

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

Can you find a polygon with more than 4 sides?

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

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

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

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

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

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

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

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

Here is an example did you find others?

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

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

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

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

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

Examples of Adjacent angles What examples did you find?

Examples of Complementary angles What are some examples you found?

Examples of Supplementary angles What examples did you find?

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

Examples of Parallel lines What examples did you find?

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

Examples of intersecting lines What examples did you find?

Can you find Perpendicular lines? Perpendicular lines- form 90 degree angles

Examples of perpendicular lines What examples did you find?

Mirror image/reflections Can you find images that can be reflected onto another image?

Examples of mirror image/reflection What examples do you have?

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

Examples of Rotation What examples did you find?

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

Examples of slide/translation What examples did you find?

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

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. Opere Il Saggiatore