HSG-CO.D.12

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- HSG-CO.D.12Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
- HSG-CO.D.13Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

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## HSG-CO.D.12

## Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

58 Lesson(s)

Big Idea:

#### In this student-centered lesson, students work together to construct parallel and perpendicular lines while also writing equations for these lines.

Standards:

Favorites
(6)

Resources
(39)

Reflections
(5)

### Models & Constructions Unit Quiz

Geometry »
Unit: Models and Constructions

Geometry »
Unit: Models and Constructions

Big Idea:

#### Students show what they have learned: from vocabulary and basic skills to an application in an unfamiliar context.

Standards:

Favorites
(3)

Resources
(31)

Reflections
(4)

### Intersection Logic

Geometry »
Unit: Dimension and Structure

Geometry »
Unit: Dimension and Structure

Big Idea:

#### Using conjectures about intersections to justify a claim: students find the right argument to make their case.

Standards:

Favorites
(1)

Resources
(28)

Reflections
(2)

### Tools of Geometry Unit Assessment

Geometry »
Unit: Tools of Geometry

Geometry »
Unit: Tools of Geometry

Big Idea:

#### Test time! Students take the first unit assessment, aligned to the Common Core standards for this unit.

Standards:

Favorites
(8)

Resources
(13)

Big Idea:

#### More basics of Geometry: Drawing diagrams, identifying and naming angles and angle pairs, and solving algebraic problems involving angle pairs. And an answer to that eternal question - why can't we just measure instead of doing constructions?

Standards:

Favorites
(9)

Resources
(16)

Reflections
(1)

Big Idea:

#### What are the properties of a bisector? Students see for themselves--and find that a compass is an efficient instrument for comparing distances.

Standards:

Favorites
(3)

Resources
(27)

Big Idea:

#### Using constructions to understand the structure of an angle and to model the operation of a navigator's position-finder.

Standards:

Favorites
(1)

Resources
(40)

Reflections
(3)

### From Perpendiculars to Parallels

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students consolidate and extend their knowledge of constructions related to bisectors: "A perpendicular to a perpendicular is a parallel."

Standards:

Favorites
(3)

Resources
(29)

Reflections
(2)

### Bisector Bonanza

Geometry »
Unit: Congruence and Rigid Motions

Geometry »
Unit: Congruence and Rigid Motions

Big Idea:

#### Students use compass and straight-edge, aided by tracing paper and paper-folding, to explore the properties of bisectors, while gaining insights into the workings of transformations.

Standards:

Favorites
(3)

Resources
(26)

Reflections
(2)

### Reviewing Intersections

Geometry »
Unit: Dimension and Structure

Geometry »
Unit: Dimension and Structure

Big Idea:

#### Students review homework and complete their learning portfolios for the unit. How much have we learned?

Standards:

Favorites
(1)

Resources
(26)

Reflections
(2)

### Reviewing Structure

Geometry »
Unit: Dimension and Structure

Geometry »
Unit: Dimension and Structure

Big Idea:

#### Students review homework and assess their progress. How much have we learned?

Standards:

Favorites
(1)

Resources
(25)

Reflections
(1)

### Introduction to Geometry (Part 2)

Geometry »
Unit: Tools of Geometry

Geometry »
Unit: Tools of Geometry

Big Idea:

#### It's all about angles! Angles, angle pairs, and how to bisect them.

Standards:

Favorites
(13)

Resources
(19)

Reflections
(1)

### Reviewing Constructions

Geometry »
Unit: Models and Constructions

Geometry »
Unit: Models and Constructions

Big Idea:

#### Students review homework and complete their learning portfolios for the unit. How much have we learned?

Standards:

Favorites
(2)

Resources
(21)

### Pulling It All Together: Tools of Geometry Unit Review

Geometry »
Unit: Tools of Geometry

Geometry »
Unit: Tools of Geometry

Big Idea:

#### Time to pull it all together! Students work cooperatively, applying the concepts of this unit in preparation for the unit test.

Standards:

Favorites
(4)

Resources
(17)

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
(15)

Resources
(19)

Reflections
(1)

Common Core Math

### Kindergarten

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### HS Geometry

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### Ninth and Tenth Grade

### Kindergarten

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### Fifth grade

### Middle School

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