HSG-SRT.A.1

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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.

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## HSG-SRT.A.1

## Verify experimentally the properties of dilations given by a center and a scale factor:

20 Lesson(s)

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### Transformations + Similarity

Geometry »
Unit: Sweet Similar Shapes

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.

Standards:

Favorites
(6)

Resources
(16)

Reflections
(1)

Big Idea:

#### What are dilations good for? Let's look at similar figures!

Standards:

Favorites
(26)

Resources
(10)

### Dilation Nation

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

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

Standards:

Favorites
(3)

Resources
(15)

### Perspective Art Project

8th Grade Math »
Unit: Linear Equations in two Variables

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!

Standards:

Favorites
(6)

Resources
(26)

Reflections
(3)

Big Idea:

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

Standards:

Favorites
(5)

Resources
(14)

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

Geometry »
Unit: Similarity in Triangles

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.

Standards:

Favorites
(1)

Resources
(16)

### Satellite Overflight 1

Geometry »
Unit: Scaling Up- Dilations, Similarity and Proportional Relationships

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.

Standards:

Favorites
(2)

Resources
(16)

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

Geometry »
Unit: Similarity in Triangles

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.

Standards:

Favorites
(2)

Resources
(19)

### Dilations using Geometer's Sketchpad

Geometry »
Unit: Similarity in Triangles

Geometry »
Unit: Similarity in Triangles

Big Idea:

#### Students using Geometer's Sketchpad to investigate dilations about a variety of centers.

Standards:

Resources
(13)

### Properties of Dilations Extension Lesson

Geometry »
Unit: Similarity in Triangles

Geometry »
Unit: Similarity in Triangles

Big Idea:

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

Standards:

Resources
(14)

Big Idea:

#### This is a comprehensive assessment of all content learned to date.

Standards:

Favorites
(1)

Resources
(12)

Reflections
(1)

### Definition of Similarity and Similar Triangles

Geometry »
Unit: Triangle Similarity and Trigonometric Ratios

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.

Standards:

Favorites
(1)

Resources
(28)

Reflections
(3)

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.

Standards:

Favorites
(2)

Resources
(10)

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.

Standards:

Favorites
(2)

Resources
(14)

Reflections
(1)

### Satellite Overflight 2

Geometry »
Unit: Scaling Up- Dilations, Similarity and Proportional Relationships

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.

Standards:

Favorites
(3)

Resources
(11)

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

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