HSG-CO.A.5

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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.5

## Given 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.

28 Lesson(s)

Big Idea:

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

Standards:

Favorites
(40)

Resources
(20)

Reflections
(1)

### 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
(14)

Resources
(22)

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)

### 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)

Big Idea:

#### Students are challenged to create their own series of successive transformations. In this process, they teach themselves about composition and enhance their understanding of transformations.

Standards:

Favorites
(14)

Resources
(19)

Reflections
(1)

### 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
(3)

Resources
(6)

Reflections
(1)

### Composition of Transformations

Geometry »
Unit: Transformational Geometry

Geometry »
Unit: Transformational Geometry

Big Idea:

#### Students will perform a variety of transformations on a single object and describe how the object was transformed.

Standards:

Favorites
(8)

Resources
(16)

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)

### 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:

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

Standards:

Favorites
(3)

Resources
(21)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(6)

Resources
(16)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(4)

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)

### 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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Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School