Top 10 modes of transportation around New

York City1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Walking

AutomobileSubway

Taxi

Bus

Bicycle

MotorcycleRoller BladesSkateboard

Scooter

TransformationsTransformations

A look into the “real world” of A look into the “real world” of transformations.transformations.

Transformations Transformations

TranslationTranslation

ReflectionReflection

RotationRotation

DilationDilation

When the size and/or position of an original When the size and/or position of an original figure is changed. These are the four figure is changed. These are the four

types.types.

TranslationTranslation A transformation that moves every A transformation that moves every

point of a figure the same distance in point of a figure the same distance in the same direction. It is also known the same direction. It is also known as a “slide”.as a “slide”.

ReflectionReflection A transformation in which a figure is A transformation in which a figure is

flipped or reflected over a line of flipped or reflected over a line of reflection to produce a mirror image.reflection to produce a mirror image.

RotationRotation A transformation that turns a figure A transformation that turns a figure

about a point.about a point. Every rotation needs three thingsEvery rotation needs three things

1.1. A A centercenter of rotation to rotate the figure around of rotation to rotate the figure around

2.2. A A clockwiseclockwise or or counterclockwisecounterclockwise direction of direction of rotationrotation

3.3. A certain number of A certain number of degreesdegrees of rotation of rotation

DilationDilation A transformation in which the size of A transformation in which the size of

a figure is changed and the figure is a figure is changed and the figure is moved.moved.

All angle measure of the image are All angle measure of the image are the same as the original angles.the same as the original angles.

Transformations in Transformations in ArchitectureArchitecture

You are about to view several You are about to view several photographs.photographs.

For each photo discuss with your For each photo discuss with your partners what types of partners what types of transformations you see in the transformations you see in the architecture.architecture.

I will randomly select students to I will randomly select students to share their findings.share their findings.

Church WindowsChurch Windows

Nova Scotia HouseNova Scotia House

Ontario Legislative BuildingOntario Legislative Building

Side of Unknown BuildingSide of Unknown Building

Tricrystal under a Scanning Tricrystal under a Scanning MicroscopeMicroscope

ChallengeChallenge