ALEX Classroom Resource

  

Geometry Module 1, Topic A: Basic Constructions

  Classroom Resource Information  

Title:

Geometry Module 1, Topic A: Basic Constructions

URL:

https://www.engageny.org/resource/geometry-module-1-topic-overview

Content Source:

EngageNY
Type: Lesson/Unit Plan

Overview:

Students begin this first module with Topic A, Constructions. Major constructions include an equilateral triangle, an angle bisector, and a perpendicular bisector. Students synthesize their knowledge of geometric terms with the use of new tools and simultaneously practice precise use of language and efficient communication when they write the steps that accompany each construction (G.CO.1).

Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 9-12
Geometry
12 ) Make formal geometric constructions with a variety of tools and methods such as compass and straightedge, string, reflective devices, paper folding, and dynamic geometric software. Constructions include 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-CO12]


Alabama Alternate Achievement Standards
AAS Standard:
M.G.AAS.HS.12- Given a drawing with angles and a protractor overlay, determine which angles are congruent. Sample image below.
Image


Mathematics
MA2015 (2016)
Grade: 9-12
Geometry
13 ) Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle. [G-CO13]


Alabama Alternate Achievement Standards
AAS Standard:
M.G.AAS.HS.13- Identify an equilateral triangle from a set of triangles or identify a regular hexagon from a set of hexagons. Make sure sides/angles are marked so that students can identify congruence.


Mathematics
MA2019 (2019)
Grade: 9-12
Geometry with Data Analysis
30. Develop and use precise definitions of figures such as angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given undefined notions of point, line, distance along a line, and distance around a circular arc,
  • Develop precise definitions of angle, circle, perpendicular line, parallel line, and line segment.
  • Identify examples and non-examples of angles, circles, perpendicular lines, parallel lines, and line segments.
Teacher Vocabulary:
  • Point
  • Line
  • Segment
  • Angle
  • Perpendicular line
  • Parallel line
  • Distance
  • Arc length
  • Ray
  • Vertex
  • Endpoint
  • Plane
  • Collinear
  • Coplanar
  • Skew
Knowledge:
Students know:
  • Undefined notions of point, line, distance along a line, and distance around a circular arc.
  • Properties of a mathematical definition, i.e., the smallest amount of information and properties that are enough to determine the concept. (Note: may not include all information related to concept).
Skills:
Students are able to:
  • Use known and developed definitions and logical connections to develop new definitions.
Understanding:
Students understand that:
  • Geometric definitions are developed from a few undefined notions by a logical sequence of connections that lead to a precise definition, A precise definition should allow for the inclusion of all examples of the concept, and require the exclusion of all non-examples.

Alabama Alternate Achievement Standards
AAS Standard:
M.G.AAS.10.30 Demonstrate perpendicular lines, parallel lines, line segments, angles, and circles by drawing, modeling, identifying or creating.


Tags: angle, arc, circle, compass, distance, equilateral triangle, geometry, hexagon, line segment, parallel line, perpendicular line, square, straightedge
License Type: Custom Permission Type
See Terms: https://www.engageny.org/terms-of-use
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityText Resources: Content is organized under headings and subheadings
Comments

There are five lessons on this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site. 

  This resource provided by:  
Author: Hannah Bradley