HSG-CO.A.2

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- HSG-CO.A.1Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
- HSG-CO.A.2Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
- HSG-CO.A.3Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
- HSG-CO.A.4Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
- HSG-CO.A.5Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

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## HSG-CO.A.2

## Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

24 Lesson(s)

Big Idea:

#### Students are introduced to the notion of rigid and non-rigid motion, including translations, rotations, reflections, and dilations.

Standards:

Favorites
(45)

Resources
(20)

Reflections
(1)

### Introduction to Transformations and Reflections

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

#### Transformers ... dum dum dum!! This lesson features video clips from the Transformer Movie series to engage students and help connect their prior knowledge of this vocabularly.

Standards:

Favorites
(17)

Resources
(15)

### Transformational Geometry Performance Task Day 1

Geometry »
Unit: Transformational Geometry

Geometry »
Unit: Transformational Geometry

Big Idea:

#### This is the first day for the Transformational Geometry Performance Task. Students create a tessellating design using transformations in the context of solving a problem for the Red Queen from Lewis Carroll's book, Through the Looking Glass.

Standards:

Favorites
(4)

Resources
(13)

### Tessellations using Transformations

Geometry »
Unit: Transformational Geometry

Geometry »
Unit: Transformational Geometry

Big Idea:

#### Students will explore tessellations and create their own design.

Standards:

Favorites
(7)

Resources
(17)

Reflections
(1)

### Fall Interim Assessment

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Big Idea:

#### This is a comprehensive assessment of Units 1, 2 and 3.

Standards:

Favorites
(4)

Resources
(6)

Reflections
(1)

### 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)

Big Idea:

#### Test time! Students take the unit assessment, demonstrating their ability to apply their knowledge of transformations.

Standards:

Favorites
(4)

Resources
(21)

Reflections
(1)

Big Idea:

#### Students will follow Alice down the rabbit hole to explore mathematical translations.

Standards:

Favorites
(7)

Resources
(16)

Reflections
(1)

Big Idea:

#### Time for the unit review and pulling all of the concepts together!

Standards:

Favorites
(5)

Resources
(24)

Reflections
(3)

### Project and Assessment for Transformation Unit

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

#### Students will be assessed in multiple ways on the transformations unit using a choice of 2 projects and a formal exam.

Standards:

Favorites
(4)

Resources
(18)

Reflections
(1)

### Interim Assessment Review Day 2 of 3: Transformational Geometry (Part 1 of 2)

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Geometry »
Unit: Fall Interim Assessment: Geometry Intro, Constructions and Rigid Motion

Big Idea:

#### This review lesson covers content from the Transformational Geometry unit. Students identify transformations and transform figures on the coordinate plane.

Standards:

Favorites
(3)

Resources
(13)

Reflections
(2)

Big Idea:

#### Students explore mathematical rotations about the coordinate plane and make connections between rotations and the book, Alice's Adventures in Wonderland, by Lewis Carroll.

Standards:

Favorites
(5)

Resources
(14)

Reflections
(1)

Big Idea:

#### Students explore mathematical reflections in the coordinate plane and make connections between reflections and the book, Through the Looking Glass, by Lewis Carroll.

Standards:

Favorites
(10)

Resources
(19)

Reflections
(2)

### Translations are Terrific

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

#### Students will solve interesting games, like free flow, and real-world problems, like designing t-shirts and finding treasure, to explore how to translate figures.

Standards:

Favorites
(4)

Resources
(17)

### Transformational Geometry Performance Task Day 2

Geometry »
Unit: Transformational Geometry

Geometry »
Unit: Transformational Geometry

Big Idea:

#### This is the second day for the Transformational Geometry Performance Task. Students create a tessellating design using transformations in the context of solving a problem for the Red Queen from Lewis Carroll's book, Through the Looking Glass.

Standards:

Favorites
(2)

Resources
(17)

Reflections
(2)

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