Find Resources

Search and browse resources for your classroom.
Use the filters below to see resources for a specific course, unit, and more.

Curriculum:
Filter By:
Type
Standards
  • Common Core: Major Standards
  • Common Core: Supporting Standards
  • Common Core: Additional Standards
  • Common Core: Practice Standards

Showing 2 Resources:

Clear Filters
Angle Bisector and Perpendicular at a Point
Resource:
Angle Bisector and Perpendicular at a Point

Geometry & Algebra II Archive

Geo U1: Tools of Geometry

Big Idea: Big Idea 2

The last construction lesson in the series is for the Angle Bisector.  I struggled with the scaffold to get students to make the first arc on the page.  After they made the arc, the rest of the page was achievable by all.  I was especially impressed with how easy it was to transition from the first construction to the second for students.

Preview ResourceAdd a Copy of Resource to my Google Drive
Type
Geometry: Tools of Geometry
File
Google Doc
Tags
angle bisector
Standards
Common Core: Supporting Standards ( G-CO.A.1, G-CO.A.2, G-CO.D.12 )
+— Details
Common Core: Supporting Standards:
G-CO.A.1

Experiment with transformations in the plane. Know 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.

G-CO.A.2

Experiment with transformations in the plane. Represent 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).

G-CO.D.12

Make geometric constructions. 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. Clarification: Constructions include but are not limited to the listed constructions. Example: constructing the median of a triangle or constructing an isosceles triangle with given lengths.

All Resources From:
Bisecting an Angle
Geometry & Algebra II Archive
Geo U1: Tools of Geometry
Resource:
Bisecting an Angle

Geometry & Algebra II Archive

Geo U1: Tools of Geometry

Big Idea: Big Idea 2

<style type="text/css"><!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> </style> This task provides the most famous construction to bisect a given angle. It applies when the angle is not 180 degrees. Since the rays forming a 180 degree angle are collinear, this case can be handled separately by constructing the perpendicular to a line through a given point: note that the construction in the collinear case is actually the same as the one employed here except that the two circles in step (b) need to have radii larger than r so that they meet in two points.

Open Resource
Type
Geometry: Tools of Geometry
File
External Link
Tags
angle bisector, bisector
Standards
Common Core: Supporting Standards ( G-CO.A.1, G-CO.A.2, G-CO.D.12 )
+— Details
Common Core: Supporting Standards:
G-CO.A.1

Experiment with transformations in the plane. Know 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.

G-CO.A.2

Experiment with transformations in the plane. Represent 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).

G-CO.D.12

Make geometric constructions. 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. Clarification: Constructions include but are not limited to the listed constructions. Example: constructing the median of a triangle or constructing an isosceles triangle with given lengths.

All Resources From: