Subject

Resource Type

Common Core Standards

Product Rating

3.9

File Type

PDF (Acrobat) Document File

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1 MB|8 pages

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Product Description

This .pdf contains illustrated step-by-step instructions for using a compass and straightedge to create all of the constructions found in the Common Core Math standards:

- Copy a segment

- Copy an angle

- Construct the perpendicular bisector of a segment

- Construct an angle bisector

- Construct a segment perpendicular to a given segment, through a given point

- Construct a segment parallel to a given segment, through a given point

- Inscribe a regular hexagon in a circle

- Inscribe an equilateral triangle in a circle

- Inscribe a square in a circle

- Construct a triangle’s circumcenter

- Construct a triangle’s incenter

- Construct a segment tangent to a given circle, through a point not on the circle

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Check out my Constructions design mini-project, available for download at

https://www.teacherspayteachers.com/Product/Geometric-Constructions-Activity-3247601

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CCSS Standards Addressed:

G.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.

G.CO.D.13

Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

G.C.A.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

G.C.A.4

Construct a tangent line from a point outside a given circle to the circle.

- Copy a segment

- Copy an angle

- Construct the perpendicular bisector of a segment

- Construct an angle bisector

- Construct a segment perpendicular to a given segment, through a given point

- Construct a segment parallel to a given segment, through a given point

- Inscribe a regular hexagon in a circle

- Inscribe an equilateral triangle in a circle

- Inscribe a square in a circle

- Construct a triangle’s circumcenter

- Construct a triangle’s incenter

- Construct a segment tangent to a given circle, through a point not on the circle

=====

Check out my Constructions design mini-project, available for download at

https://www.teacherspayteachers.com/Product/Geometric-Constructions-Activity-3247601

=====

CCSS Standards Addressed:

G.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.

G.CO.D.13

Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

G.C.A.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

G.C.A.4

Construct a tangent line from a point outside a given circle to the circle.

Total Pages

8 pages

Answer Key

N/A

Teaching Duration

N/A