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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

» 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

» Unit:

Similar Figures

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

Dilation Nation

Geometry

» 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

» Unit:

Similarity in Triangles

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

Perspective Art Project

8th Grade Math

» 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

» 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

» 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

» 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

» 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

» 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

» 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

» Unit:

Final Assessment

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

Experimenting with Dilations

Geometry

» 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

» 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

» 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.