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- HSG-SRT.A.1Verify experimentally the properties of dilations given by a center and a scale factor:
- HSG-SRT.A.2Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
- HSG-SRT.A.3Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

Transformations + Similarity

Geometry

Â» Unit:

Sweet Similar Shapes

Big Idea:Students will use a pair-share activity and activate their prior knowledge to discover how transformations connect to AA criterion.

Introduction to Similar Figures

Geometry

Â» Unit:

Similar Figures

Big Idea:What are dilations good for? Let's look at similar figures!

Dilation Nation

Geometry

Â» Unit:

Transformers and Transformations

Big Idea:Students will review transformations using a brain pop and learn how to geometrically enlarge and shrink shapes.

Scale Factor

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students use examples from the book Aliceâs Adventures in Wonderland to explore the concept of scale factor.

Perspective Art Project

8th Grade Math

Â» Unit:

Linear Equations in two Variables

Big Idea:This project is fun, fun, fun for students and also so educational on a middle school and high school level connecting dilations, similar figures, and 3-D art!

Dilations on the Coordinate Plane, Center (0, 0)

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students dilate objects on the coordinate plane and identify the scale factor of dilations that take a pre-image to an image.

Satellite Overflight 1

Geometry

Â» Unit:

Scaling Up- Dilations, Similarity and Proportional Relationships

Big Idea:Students learn how dilating a shape affects perimeter and area as they design a sign large enough to show up on Google Earth.

Dilations on the Coordinate Plane, Center (h, k)

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students will practice performing and describing dilations with centers other than (0, 0) and scale factors greater than one or between zero and one.

Dilations using Geometer's Sketchpad

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students using Geometer's Sketchpad to investigate dilations about a variety of centers.

Properties of Dilations Extension Lesson

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students will investigate how to perform a dilation about a center (h, k) without graphing the object.

Definition of Similarity and Similar Triangles

Geometry

Â» Unit:

Triangle Similarity and Trigonometric Ratios

Big Idea:Students' prior knowledge of transformations and congruence helps them make connections as they learn to use similarity shortcuts.

End of Year Assessment

Geometry

Â» Unit:

Final Assessment

Big Idea:This is a comprehensive assessment of all content learned to date.

Experimenting with Dilations

Geometry

Â» Unit:

Similarity

Big Idea:Time for pupils to dilate...and we're not talking optometry. In this lesson, students get familiar with the major characteristics of dilations.

Finally Finals #2

Geometry

Â» Unit:

Finally Finals

Big Idea:Students will lead review of the Geometry curriculum by creating review sheets for specific topics like circles or parallelograms and present these to their peers.

Satellite Overflight 2

Geometry

Â» Unit:

Scaling Up- Dilations, Similarity and Proportional Relationships

Big Idea:Students learn how dilating a shape affects perimeter and area as they design a sign large enough to show up on Google Earth.

HSG-SRT.A.1a

A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

HSG-SRT.A.1b

The dilation of a line segment is longer or shorter in the ratio given by the scale factor.