MA.912.GR.5.4

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Construct a regular polygon inscribed in a circle. Regular polygons are limited to triangles, quadrilaterals and hexagons.

Clarifications

Clarification 1: When given a circle, the center must be provided.

Clarification 2: Instruction includes using compass and straightedge, string, reflective devices, paper folding or dynamic geometric software.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Geometric Reasoning
Standard: Make formal geometric constructions with a variety of tools and methods.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Regular Hexagon in a Circle:

Students are asked to construct a regular hexagon inscribed in a circle.

Type: Formative Assessment

Equilateral Triangle in a Circle:

Students are asked to construct an equilateral triangle inscribed in a circle.

Type: Formative Assessment

Construct the Center of a Circle:

Students are asked to construct the center of a circle.

Type: Formative Assessment

Square in a Circle:

Students are asked to construct a square inscribed in a circle.

Type: Formative Assessment

Lesson Plan

St. Pi Day construction with a compass & ruler:

St. Pi Day construction with compass

This activity uses a compass and straight-edge(ruler) to construct a design. The design is then used to complete a worksheet involving perimeter, circumference, area and dimensional changes which affect the scale factor ratio.

Type: Lesson Plan

Original Student Tutorials

A Square Peg in a Round Hole:

Learn how to construct an inscribed square in a circle and why certain constructions are used in this interactive tutorial.

Type: Original Student Tutorial

Designing with Hexagons:

Learn how to construct an inscribed regular hexagon and equilateral triangle in a circle in this interactive tutorial.

Type: Original Student Tutorial

MFAS Formative Assessments

Construct the Center of a Circle:

Students are asked to construct the center of a circle.

Equilateral Triangle in a Circle:

Students are asked to construct an equilateral triangle inscribed in a circle.

Regular Hexagon in a Circle:

Students are asked to construct a regular hexagon inscribed in a circle.

Square in a Circle:

Students are asked to construct a square inscribed in a circle.

Original Student Tutorials Mathematics - Grades 9-12

A Square Peg in a Round Hole:

Learn how to construct an inscribed square in a circle and why certain constructions are used in this interactive tutorial.

Designing with Hexagons:

Learn how to construct an inscribed regular hexagon and equilateral triangle in a circle in this interactive tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorials

A Square Peg in a Round Hole:

Learn how to construct an inscribed square in a circle and why certain constructions are used in this interactive tutorial.

Type: Original Student Tutorial

Designing with Hexagons:

Learn how to construct an inscribed regular hexagon and equilateral triangle in a circle in this interactive tutorial.

Type: Original Student Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.