Standard 6: CirclesArchived

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Define and understand ideas related to circles (radius, tangent, chord, etc.). Perform constructions, and prove theorems related to circles. Find measures of arcs and angles related to them, as well as measures of circumference and area. Relate geometry to algebra by finding the equation of a circle in the coordinate plane.
General Information
Number: MA.912.G.6
Title: Circles
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Geometry

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.912.G.6.In.a
Identify and describe the circumference, arc, diameter, and radius of circles using physical and visual models.
MA.912.G.6.In.b
Measure the diameter and radius of circles to solve real-world problems.
MA.912.G.6.In.c
Determine the relationship between a semi-circle and a circle.

Supported

MA.912.G.6.Su.a
Identify the circumference, arc, and diameter of circles in real-world situations.
MA.912.G.6.Su.b
Compare the circumference and diameter of circles in real-world situations.
MA.912.G.6.Su.c
Identify examples of semi-circles in the environment.

Participatory

MA.912.G.6.Pa.a
Identify objects, pictures, or signs with a circle in real-world situations.
MA.912.G.6.Pa.b
Match two or more objects with a circle based on a given feature, such as the distance around the outside (circumference) or inside (area) in real-world situations.

Related Resources

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

Image/Photograph

Clipart: Geometric Shapes:

In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

Type: Image/Photograph

Lesson Plan

Seeking Circle Segments:

Students will start this lesson with a "Pictionary" game to review circle vocabulary terms. They will then use computers and GeoGebra to discover the relationships between portions of segments that intersect in the interior of the circle, and exterior to the circle. They will wrap up the lesson in a class discussion and consensus on rules (formulas).

Type: Lesson Plan

Professional Development

Mathematical Modeling: Insights into Algebra, Teaching for Learning:

This professional development resource provides a rich collection of information to help teachers engage students more effectively in mathematical modeling. It features videos of two complete lessons with commentary, background information on effective teaching, modeling, and lesson study, full lesson plans to teach both example lessons, examples of student work from the lessons, tips for effective teaching strategies, and list of helpful resources.

  • In Lesson 1 students use mathematical models (tables and equations) to represent the relationship between the number of revolutions made by a "driver" and a "follower" (two connected gears in a system), and they will explain the significance of the radii of the gears in regard to this relationship.
  • In Lesson 2 students mathematically model the growth of populations and use exponential functions to represent that growth.

Type: Professional Development

Video/Audio/Animation

Story of Pi:

This video dynamically shows how Pi works, and how it is used.

Type: Video/Audio/Animation

Student Resources

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

Parent Resources

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

Image/Photograph

Clipart: Geometric Shapes:

In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.

Type: Image/Photograph

Video/Audio/Animation

Story of Pi:

This video dynamically shows how Pi works, and how it is used.

Type: Video/Audio/Animation