HSG-CO.A.4

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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.4

## Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

26 Lesson(s)

Big Idea:

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

Standards:

Favorites
(44)

Resources
(20)

Reflections
(1)

### Rocking Rotations

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

#### Students will use a hands-on approach to discovering how polygons are rotated in clockwise and counterclockwise rotations.

Standards:

Favorites
(8)

Resources
(29)

Reflections
(3)

### Becoming More Familiar with the Rules for Transformations

Geometry »
Unit: Transformations

Geometry »
Unit: Transformations

Big Idea:

#### Name that transformation! Students will work at identifying transformations performed upon geometric figures.

Standards:

Favorites
(16)

Resources
(22)

Reflections
(2)

### Reconsidering Rotations

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students learn how rotations work by constructing one--then use their insights to deduce the location of a missing Mars rover.

Standards:

Favorites
(4)

Resources
(31)

Reflections
(2)

### Taking Apart Translations

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Using geometric constructions and measurement to learn the properties of rigid motion via translation.

Standards:

Resources
(32)

Reflections
(4)

### Re-Examining Reflections

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students learn the properties of reflections by constructing one. They use these properties to solve problems involving the Gateway Arch in St. Louis.

Standards:

Favorites
(2)

Resources
(33)

Reflections
(3)

### 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)

### 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)

### Rotational Symmetry

Geometry »
Unit: Defining Transformations

Geometry »
Unit: Defining Transformations

Big Idea:

#### Turnabout Play is Fair...and Fun. In this lesson, students explore rotational symmetry.

Standards:

Favorites
(22)

Resources
(16)

Reflections
(1)

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)

### Compositions, Not Just a Notebook

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

#### Students will be introduced to compositions of functions by looking at MC Escher’s famous tessellations drawings. This lesson will then specifically explore glide reflections and give students an opportunity to review transformations including reflections

Standards:

Favorites
(4)

Resources
(17)

Big Idea:

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

Standards:

Favorites
(5)

Resources
(24)

Reflections
(3)

### What are Transformations?

Geometry »
Unit: Transformational Geometry

Geometry »
Unit: Transformational Geometry

Big Idea:

#### Students will explore the four basic transformations through the context of the book Alice's Adventures in Wonderland.

Standards:

Favorites
(10)

Resources
(20)

Reflections
(1)

### Defining Reflections

Geometry »
Unit: Defining Transformations

Geometry »
Unit: Defining Transformations

Big Idea:

#### Mirror, mirror, on the wall...what defines reflections all? In this lesson, we'll formalize the definition of reflection in the coordinate plane.

Standards:

Favorites
(16)

Resources
(13)

Reflections
(1)

### Rigid Motion and Congruence Unit Quiz

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students complete the summative assessment for the unit. Game Day!

Standards:

Favorites
(1)

Resources
(16)

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