Shapes in the environmentby

Brenda Bush

We are going to explore geometric ideas ‘hidden’ in this house.

Triangles

Quadrilaterals

Polygons

Transformations

Angles

What shapes do you see?

Semi circleSquareCircleRectangleDiamond

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 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

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. 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?-Is a polygon that can not be folded onto its self

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

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 degreesRight angle- equals 90 degreesObtuse angle- is greater than 90 degrees

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 anglesWhat examples did you find?

Examples of Complementary anglesWhat are some examples you found?

Examples of Supplementary anglesWhat examples did you find?

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

Examples of Parallel linesWhat 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 linesWhat examples did you find?

Can you find Perpendicular lines?

Perpendicular lines- form 90 degree angles

Examples of perpendicular linesWhat examples did you find?

Mirror image/reflectionsCan you find images that can be reflected

onto another image?

Examples of mirror image/reflectionWhat 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 RotationWhat 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/translationWhat 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.

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