Phi 1.61803: Art in Math and Science   Western Reserve Public Media
Interior Angles

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Interior Angles Overview


Students begin the lesson with a formative assessment about angles. A PowerPoint presentation reviews the identification and naming of angles and triangles.

In the first project, students identify the names of angles and polygons. They then practice measuring angles and quadrilaterals.

For a final project, the students make an octahedron. They use a protractor to create equilateral triangles and put them together after labeling each face with terms to answer any and all questions. This polyhedron then becomes a predicting tool.

There is an extension lesson where students find the measure of the interior angles of a pentagon, hexagram and octagon, and then try to find a formula or rule that allows them to find the interior angle of any polygon without measuring.

The summative assessment measures the lesson’s indicator. Resource pages are available on interior angles, protractors and vocabulary.

The videos are brief but have two sections. The first is a music video that reviews vocabulary and concepts. The second is an introduction to the projects the students will be doing.


Standards Addressed

Grade 5, Mathematics — Geometry

05-07 Benchmark D. Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects using their properties.

Y2003.CMA.S03.G05-07.BD.L05.I05 / Characteristics and Properties

05. Use physical models to determine the sum of the interior angles of triangles and quadrilaterals. Copyright©2010, Northeastern Educational Television of Ohio, Inc. All rights reserved.
Overview Ratio, Proportion and Percent Interior Angles Teacher Materials Sound Energy Online Resources Watch Online Overview Vocabulary Angles, Triangles and Quadrilaterals PowerPoint Presentation — Angles and Triangles PowerPoint Presentation — Quadrilaterals Interior Angles Project — Making a Prediction How Many Degrees? Resource Page (PDF File) Formative Assessment (PDF File) Student Handout — Using a Protractor (PDF File) Student Handout — Triangles (PDF File) Student Handout — Interior Angles Cutout (PDF File) Student Handout — Interior Angles of Triangles (PDF File) Student Handout — Quadrilaterals (PDF file) Student Handout — Interior Angles of Quadrilaterals Cutout (PDF File) Student Handout — Interior Angles of Quadrilaterals (PDF File) Student Handout — Interior Angles and Art (PDF File) Student Handout — Making a Prediction (PDF File) Cube Template (PDF file) Student Handout — How Many Degrees? (PDF File) Summative Assessment (PDF File)