HSG-CO.A.3

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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.3

## Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

22 Lesson(s)

### 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
(7)

Resources
(29)

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:

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(16)

Resources
(15)

### Reflectional and Rotational Symmetry

Geometry »
Unit: Transformational Geometry

Geometry »
Unit: Transformational Geometry

Big Idea:

#### This is the first lesson in a unit on transformations. Students will examine different objects and identify their symmetries and orders of rotation based on their prior knowledge from the eighth grade.

Standards:

Favorites
(14)

Resources
(16)

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)

### Reflectional and Rotational Symmetry: Quadrilaterals and Regular Polygons

Geometry »
Unit: Transformational Geometry

Geometry »
Unit: Transformational Geometry

Big Idea:

#### Students will further investigate reflectional and rotational symmetry, specifically in quadrilaterals and regular polygons, which is demonstrated using Geometer's Sketchpad.

Standards:

Favorites
(2)

Resources
(15)

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:

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(3)

Resources
(17)

Big Idea:

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

Standards:

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(2)

Resources
(21)

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)

### Equivalent Transformations and Symmetry

Geometry »
Unit: Transformations

Geometry »
Unit: Transformations

Big Idea:

#### Symmetry in terms of reflections and rotations. Students unpack the standard and solidify their knowledge of compositions of transformations.

Standards:

Favorites
(2)

Resources
(27)

Reflections
(3)

### 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)

Big Idea:

#### Students will lead class in presenting on key facts about quadrilaterals like squares, rectangles, rhombi, trapezoids, isosceles trapezoids and kites.

Standards:

Favorites
(4)

Resources
(19)

Reflections
(2)

### Isometry, Survival of the Fittest and Review

Geometry »
Unit: Transformers and Transformations

Geometry »
Unit: Transformers and Transformations

Big Idea:

#### Students will play a vocabulary game called survival of the fittest to reinforce their knowledge of transformations and key vocab words. After this, there is a brief lesson that can be student-led which reviews compositions of transformations and connects

Standards:

Favorites
(2)

Resources
(17)

### Mapping and Congruence

Geometry »
Unit: Defining Transformations

Geometry »
Unit: Defining Transformations

Big Idea:

#### Let's Map it Out. In this lesson, students show that figures are congruent by mapping one onto the other.

Standards:

Favorites
(29)

Resources
(18)

Reflections
(1)

### Common Core Geometry Midcourse Assessment Review Day 1 of 2

Geometry »
Unit: Common Core Geometry Midcourse Assessment

Geometry »
Unit: Common Core Geometry Midcourse Assessment

Big Idea:

#### Students create a review sheet covering topics from the first day of the midcourse assessment. They write tips for performing constructions and create questions about transformations on the coordinate plane.

Standards:

Favorites
(1)

Resources
(11)

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