Geometry and Spatial Sense

Geometry and Spatial Sense

Introduction Lesson Quiz

IntroductionThis lesson will be covering transformations of different objects.

This lesson is intended for 7th grade students.

Geometry and Spatial Sense Standard8. Perform translations, reflections, rotations and dilations of two dimensional figures using a variety of methods (paper folding,tracing, graph paper).

After this lesson, students will be able to identify specific transformations such as translations, rotations, reflections and dilations.

Lesson Directions

To successfully make it through this lesson please click the arrows to either continue to the next slide or go back to the previous slide.

After you make it through the slides that cover the lesson, there will be a quiz for you to take. If you do not feel prepared, you are able to go back to the beginning of the lesson.

In this lesson we will discuss different transformations.

To transform an object, there are specific ways to describe how a figure changed.

The transformations that you will learn about include:

Translations

Reflections

Rotations

Dilations

TranslationA translation “slides” an object a fixed distance in a given direction.

The original object and its translation have the same shape and size, and face the same direction.

Translations are slides!

Translation

Now, let’s examine a translation related to coordinate geometry.

The example shows how each vertex moves the same distance in the same direction.

Reflection

A reflection is a "flip" of an object over a line. Let's look at two very common reflections: a horizontal reflection and a vertical reflection.

*Notice the colored vertices for each triangle.

RotationA rotation is a transformation that is performed by "spinning" the object around a fixed point known as the center of rotation.

You can rotate your object at any degree measure, but 90° and 180° are two of the most common.

Dilation

Dilation is a similarity transformation in which a figure is enlarged or reduced.

A dilation shows the same shape but a different size.

You have now completed the lesson!!

If you understand all of the previous slides, you are ready to take the quiz and be tested on your new found knowledge.

If you do not understand all of the previous slides, go back to the lesson and review as many times as necessary until you

understand the content.

Homepage Lesson Quiz

Question1

Is the picture on this slide a representation of which of the following?

A. Translation

B. Reflection

C. Rotation

D. Dilation

Awesome!You have answered the question correctly!!

Oh no!Try again until you receive the correct answer.

Question2

Is the picture on this slide a representation of which of the following?

A. Translation

B. Reflection

C. Rotation

D. Dilation

Awesome!You have answered the question correctly!!

Oh no!Try again until you receive the correct answer.

Question3

Is the picture on this slide a representation of which of the following?

A. Translation

B. Reflection

C. Rotation

D. Dilation

Awesome!You have answered the question correctly!!

Oh no!Try again until you receive the correct answer.

CongratulationsYou have completed the quiz!

You now are considered an expert on translations, reflections,

rotations, and dilations!

Home Page Citations

CitationsPictureshttp://www.bing.com/images/search?q=translation+geometry&view=detail&id=A3F1DCD7D6C6BAD77F562306F9FA258086C591EC&first=0&qpvt=translation+geometry&FORM=IDFRIRhttp://www.bing.com/images/search?q=translation+geometry&view=detail&id=D17A3BAE4ED14BDCB22979646874503F2D8637FA&first=0&qpvt=translation+geometry&FORM=IDFRIR http://www.regentsprep.org/Regents/math/geometry/GT2/Trans.htmhttp://www.mathsisfun.com/geometry/rotation.html http://www.mathsisfun.com/geometry/reflection.html Lesson Helphttp://www.gradeamathhelp.com/transformation-geometry.html ODE Standardhttp://www.ode.state.oh.us/GD/Templates/Pages/ODE/ODEDetail.aspx?page=3&TopicRelationID=1704&ContentID=801&Content=112057

Lesson QuizHome Page