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
| Code |
Description |
| MA.6.G.4.1: | Understand the concept of Pi, know common estimates of Pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles. |
| MA.6.G.4.2: | Find the perimeters and areas of composite two-dimensional figures, including non-rectangular figures (such as semicircles) using various strategies. |
| MA.6.G.4.3: | Determine a missing dimension of a plane figure or prism given its area or volume and some of the dimensions, or determine the area or volume given the dimensions. |
Related Access Points
This cluster includes the following access points.
Independent
| Access Point Number |
Access Point Title |
| 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
| Access Point Number |
Access Point Title |
| 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
| Access Point Number |
Access Point Title |
| 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
| Name |
Description |
| 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. |
| 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) |
| 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. |
Video/Audio/Animation
| Name |
Description |
| Story of Pi: | This video dynamically shows how Pi works, and how it is used. |
Virtual Manipulative
| Name |
Description |
| 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) |
Student Resources
Vetted resources students can use to learn the concepts and skills in this topic.
Virtual Manipulative
| Title |
Description |
| 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) |
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
Video/Audio/Animation
| Title |
Description |
| Story of Pi: | This video dynamically shows how Pi works, and how it is used. |
