18.1 congruence and similarity p.394 quick review quick review objective: to learn how to use...
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18.1 Congruence and 18.1 Congruence and SimilaritySimilarity
p.394p.394
18.1 Congruence and 18.1 Congruence and SimilaritySimilarity
p.394p.394
Quick Quick ReviewReview
ObjectiveObjective: : to learn how to use to learn how to use translationstranslations, , rotationsrotations, and , and reflectionsreflections to transform geometric to transform geometric
shapesshapes
VocabularyVocabulary: :
1.1. transformationtransformation = = change change movementmovement of a shape without changing the size or shape of a shape without changing the size or shape
2.2. translationtranslation = “slide” = “slide” figure along a straight line figure along a straight line
3.3. rotationrotation = “turn” = “turn” figure around a point figure around a point
4.4. reflectionreflection = “flip” = “flip” figure over a line figure over a line
Guided LearningGuided Learning::
1.1. Review Review divisibility rulesdivisibility rules (slide 2) (slide 2)
2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?
Quick Quick ReviewReview
ObjectiveObjective: : to learn how to use to learn how to use translationstranslations, , rotationsrotations, and , and reflectionsreflections to transform geometric to transform geometric
shapesshapes
VocabularyVocabulary: :
1.1. transformationtransformation = = change change movementmovement of a shape without changing the size or shape of a shape without changing the size or shape
2.2. translationtranslation = “slide” = “slide” figure along a straight line figure along a straight line
3.3. rotationrotation = “turn” = “turn” figure around a point figure around a point
4.4. reflectionreflection = “flip” = “flip” figure over a line figure over a line
Guided LearningGuided Learning::
1.1. Review Review divisibility rulesdivisibility rules (slide 2) (slide 2)
2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?Harcourt Math Glossary Practice transformations Tessallations Slideshow How to Escher Tessellate
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Tessellation ProjectTessellation ProjectTessellation ProjectTessellation Project
•1. Draw on the “1. Draw on the “NorthNorth” edge” edge
•2. Draw on the “2. Draw on the “EastEast” edge” edge
•3. Cut out carefully edge 3. Cut out carefully edge #1#1 and tape to the and tape to the
““SouthSouth”edge”edge
•4. Cut out carefully edge 4. Cut out carefully edge #2#2 and tape to the and tape to the
““WestWest” edge” edge
**TraceTrace starting from the center of your white sheet of paper and repeat starting from the center of your white sheet of paper and repeat
tessellation until paper is filled out.tessellation until paper is filled out.
*Add to every other tessellation pattern one of the following: *Add to every other tessellation pattern one of the following: texture texture
rubbing, patternrubbing, pattern (i.e. dots, stars, stripes, face, etc.) (i.e. dots, stars, stripes, face, etc.)
*Let the remainder of your patterns be a *Let the remainder of your patterns be a ONEONE solid color solid color
•1. Draw on the “1. Draw on the “NorthNorth” edge” edge
•2. Draw on the “2. Draw on the “EastEast” edge” edge
•3. Cut out carefully edge 3. Cut out carefully edge #1#1 and tape to the and tape to the
““SouthSouth”edge”edge
•4. Cut out carefully edge 4. Cut out carefully edge #2#2 and tape to the and tape to the
““WestWest” edge” edge
**TraceTrace starting from the center of your white sheet of paper and repeat starting from the center of your white sheet of paper and repeat
tessellation until paper is filled out.tessellation until paper is filled out.
*Add to every other tessellation pattern one of the following: *Add to every other tessellation pattern one of the following: texture texture
rubbing, patternrubbing, pattern (i.e. dots, stars, stripes, face, etc.) (i.e. dots, stars, stripes, face, etc.)
*Let the remainder of your patterns be a *Let the remainder of your patterns be a ONEONE solid color solid color
1 - draw
3 - tape
2 - draw4 - tape
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by D. Fisher
Geometric Transformations
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Reflection, Rotation, or Translation1.
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Reflection, Rotation, or Translation2.
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Reflection, Rotation, or Translation3.
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Reflection, Rotation, or Translation4.
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Reflection, Rotation, or Translation5.
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Reflection, Rotation, or Translation6.
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Reflection, Rotation, or Translation7.
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Reflection, Rotation, or Translation8.
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Reflection, Rotation, or Translation9.
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Why is this not perfect reflection?
10.
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Reflection, Rotation, or Translation11.
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Reflection, Rotation, or Translation12.
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Reflection, Rotation, or Translation13.
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Reflection, Rotation, or Translation14.
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Reflection, Rotation, or Translation15.
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Reflection, Rotation, or Translation16.
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Reflection, Rotation, or Translation17.
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Reflection, Rotation, or Translation18.
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Reflection, Rotation, or Translation19.
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Reflection, Rotation, or Translation20.
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Reflection, Rotation, or Translation21.
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Reflection, Rotation, or Translation22.
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The End
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18.2 Tessellations18.2 Tessellations p.397p.397
18.2 Tessellations18.2 Tessellations p.397p.397
Quick Quick ReviewReview
ObjectiveObjective: : to learn how to use polygons to make tessellations and how to make to learn how to use polygons to make tessellations and how to make
figures for tessellations.figures for tessellations.
VocabularyVocabulary: :
1.1. tessellationtessellation = = repeating arrangement of shapes completely covering a plane w/ NO repeating arrangement of shapes completely covering a plane w/ NO
gaps or overlapsgaps or overlaps
Guided LearningGuided Learning::
1.1. Review Review divisibility rulesdivisibility rules (slide 2) (slide 2)
2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?
Quick Quick ReviewReview
ObjectiveObjective: : to learn how to use polygons to make tessellations and how to make to learn how to use polygons to make tessellations and how to make
figures for tessellations.figures for tessellations.
VocabularyVocabulary: :
1.1. tessellationtessellation = = repeating arrangement of shapes completely covering a plane w/ NO repeating arrangement of shapes completely covering a plane w/ NO
gaps or overlapsgaps or overlaps
Guided LearningGuided Learning::
1.1. Review Review divisibility rulesdivisibility rules (slide 2) (slide 2)
2.2. Review Review EXAMPLES A. and B.EXAMPLES A. and B. -- -- How did you decide 610 was not divisible by 3?How did you decide 610 was not divisible by 3?Harcourt Math Glossary Practice Tessellations Tessellations Slideshow How to Escher TessellateEscher Examples
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18.4 Symmetry18.4 Symmetry p. 402p. 402
18.4 Symmetry18.4 Symmetry p. 402p. 402
Quick Quick ReviewReview
ObjectiveObjective: : to learn how to identify to learn how to identify line symmetryline symmetry and and rotational rotational
symmetrysymmetry
VocabularyVocabulary: :
1.1. line symmetryline symmetry = = can be folded or reflected so that the two parts matchcan be folded or reflected so that the two parts match
2.2. line of symmetryline of symmetry = = the line across which the figure is “symmetric”the line across which the figure is “symmetric”
3.3. rotational symmetryrotational symmetry = = can be rotated can be rotated less thanless than 360360 degrees around its degrees around its
center point (i.e. 90, 180, or 270 - not 360!)center point (i.e. 90, 180, or 270 - not 360!)
4.4. point of rotationpoint of rotation = = center pointcenter point
Quick Quick ReviewReview
ObjectiveObjective: : to learn how to identify to learn how to identify line symmetryline symmetry and and rotational rotational
symmetrysymmetry
VocabularyVocabulary: :
1.1. line symmetryline symmetry = = can be folded or reflected so that the two parts matchcan be folded or reflected so that the two parts match
2.2. line of symmetryline of symmetry = = the line across which the figure is “symmetric”the line across which the figure is “symmetric”
3.3. rotational symmetryrotational symmetry = = can be rotated can be rotated less thanless than 360360 degrees around its degrees around its
center point (i.e. 90, 180, or 270 - not 360!)center point (i.e. 90, 180, or 270 - not 360!)
4.4. point of rotationpoint of rotation = = center pointcenter point
Harcourt Math Glossary Line of Symmetry Tutorial Rotational Symmetry TutorialSymmetry Symmetry Examples in LifeExamples in Life