Supporting Idea 4: Geometry and MeasurementArchived

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Geometry and Measurement
General Information
Number: MA.6.G.4
Title: Geometry and Measurement
Type: Supporting Idea
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 6
Body of Knowledge: Geometry

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.6.G.4.In.a
Compare the distance around the outside of circles (circumference) and areas using physical or visual models.
MA.6.G.4.In.b
Measure the distance around all sides (perimeter) of polygons, such as squares, triangles, rectangles, and hexagons and compare the areas using physical or visual models.
MA.6.G.4.In.c
Measure capacity using cups, pints, quarts, and gallons.

Supported

MA.6.G.4.Su.a
Identify the distance around the outside of circles (circumference) and compare areas of circles using physical models.
MA.6.G.4.Su.b
Measure the lengths of sides of rectangles and triangles and compare the areas of rectangular and square shapes using physical models.
MA.6.G.4.Su.c
Measure capacity using cups.

Participatory

MA.6.G.4.Pa.a
Recognize the outside (circumference) and inside (area) of a circle.
MA.6.G.4.Pa.b
Recognize the outside (perimeter) and inside (area) of rectangles and triangles.

Related Resources

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

Lesson Plans

Relationship of Circumference to Diameter ~ Understanding Pi:

In this lesson, students will develop an understanding of the meaning of pi and how it relates to the relationship to circumference and diameter. This is a hands-on activity where students measure circular objects and calculate the relationship of the circumference to the diameter.

Type: Lesson Plan

Don't Be a Square - Measurement:

"Students will learn the relationship between the radius and diameter of a circle and the relationship of the diameter and the circumference of a circle. Students will also find the approximate circumference of a circle, given either the diameter or radius." (from MATH Can Take You Places)

Type: Lesson Plan

Using Pi to Solve Equations:

This lesson includes measurement activities that help students understand where the value of pi originated, as well as activities that help students apply the value of pi to real-life scenarios.

Type: Lesson Plan

Video/Audio/Animation

Story of Pi:

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

Type: Video/Audio/Animation

Virtual Manipulative

Circle Tool:

This applet allows students to investigate the relationships between the area and circumference of a circle and its radius and diameter. There are three sections to the site: Intro, Investigation, and Problems.

  • In the Intro section, students can manipulate the size of a circle and see how the radius, diameter, and circumference are affected. Students can also play movie clip to visually see how these measurements are related.
  • The Investigation section allows students to collect data points by dragging the circle radius to various lengths, and record in a table the data for radius, diameter, circumference and area. Clicking on the x/y button allows students to examine the relationship between any two measures. Clicking on the graph button will take students to a graph of the data. They can plot any of the four measures on the x-axis against any of the four measures on the y-axis.
  • The Problems section contains questions for students to solve and record their answers in the correct unit.

(NCTM's Illuminations)

Type: Virtual Manipulative

Student Resources

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

Virtual Manipulative

Circle Tool:

This applet allows students to investigate the relationships between the area and circumference of a circle and its radius and diameter. There are three sections to the site: Intro, Investigation, and Problems.

  • In the Intro section, students can manipulate the size of a circle and see how the radius, diameter, and circumference are affected. Students can also play movie clip to visually see how these measurements are related.
  • The Investigation section allows students to collect data points by dragging the circle radius to various lengths, and record in a table the data for radius, diameter, circumference and area. Clicking on the x/y button allows students to examine the relationship between any two measures. Clicking on the graph button will take students to a graph of the data. They can plot any of the four measures on the x-axis against any of the four measures on the y-axis.
  • The Problems section contains questions for students to solve and record their answers in the correct unit.

(NCTM's Illuminations)

Type: Virtual Manipulative

Parent Resources

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

Video/Audio/Animation

Story of Pi:

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

Type: Video/Audio/Animation