Measurement and Data

Geometric measurement: understand concepts of angle and measure angles.

- An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a "one-degree angle," and can be used to measure angles.
- An angle that turns through n one-degree angles is said to have an angle measure of n degrees.

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Resource | Resource Type Grade Level | Rating |
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With this interactive Java Sketchpad applet students use spatial reasoning and measurement skills to explore quadrilateral kites. The vertices can be manipulated as kite properties are maintained. Also included are tasks that focus the learner's manipulations. | Activity, Interactive Media Grade Level: 3, 4, 5, 6+ | |

This interactive Flash lesson gives students practice in classifying triangles and measuring angles. Despite its title, the lesson explains, compares and contrasts acute, obtuse, right, scalene, isosceles and equilateral triangles. Students are given practice using a virtual protractor to aid in the classifications. A Teacher Guide (pdf) is available [see #5 at MathActive Lessons for Grades 5-6, cataloged separately]. The lessons list also includes links to Spanish, Navajo, and non-voiced versions of this lesson. | Activity, Interactive Media, Tutorial Grade Level: 4, 5, 6+ | |

This Flash applet gives students practice in creating an angle measuring between zero and 180 degrees. Two buttons control the increase or decrease of the opening between two rays. Points are awarded for accuracy. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This set of eight interactive activities lets the user explore angles from many different perspectives. Activities include (1) visualizing the size of an angle; (2) examining objects that will stand or fall with right and non-right angles; (3) identifying obtuse, right, acute and straight angles; (4) guessing angle measures with different levels of precision; (5) exploring regular shapes and their angle measures; (6) studying angles in a fractal tree that is drawn with user inputs of the same angle measure between the branches at each stage; (7) exploring angle measures through firing a cannon (8) drawing with a Logo activity. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 | |

This interactive Flash applet enables students, using estimation and measurement skills, to investigate angles. Teachers can use this page for demonstrating how to read a protractor, and the protractor can be hidden to give students practice in estimating angle measures. The size of the angle can be controlled or chosen randomly. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

This question and answer service for math students and their teachers offers a searchable archive all about measurement at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This question and answer service for math students and their teachers offers a searchable archive all about two-dimensional geometry at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This Flash game for one or two players gives students practice in estimating the size of angles. A circle and a radius pointing in a random direction are given. The student activates a second sweeping radius, which can move in either direction, and tries to stop it at the specified measure. Three difficulty levels control the range of angle measures. Points are awarded based on closeness of the estimate. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension and support. | Activity, Game, Interactive Media Grade Level: 3, 4, 5 | |

Users are introduced to simple programming concepts and learn about geometry by navigating a "turtle" around the screen and creating colorful geometric artwork. Users can command the turtle to move forward or backward, turn right or left a specified number of degrees, and change the color of its trail. | Interactive Media, Tools Grade Level: 3, 4, 5 | |

This interactive Java applet supports the investigation of the relationship between the number of vertices of a polygon and its interior angle sum. Learners choose and locate the vertices, the angle measures are displayed, and then the student can drag the measures into a circle to see them summed relative to 360 degrees. | Activity, Interactive Media Grade Level: 4, 5, 6+ |