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There are so many different great activities online which can help reinforce different topics used. **NCTM’s Illumination** website is designed in way where you can search for activities, lessons, standards, and web links. This allows you to find based on certain topics or standards. It allows you to search by grade and whether you want to include interactive activities, or just worksheets to go along with the lesson.



The website then gives you multiple different lessons, telling you what grade level, and subjects they will cover. The computer on the left side tells you if it is an interactive lesson.



I chose an activity that allows students to explore different quadrilaterals, and the amount of sides, triangles, and total degrees each shape contains. This activity explores the Angle Sum Theorem.

The first part of the website lists the main objects and instructions for the activity.



The website lists step by steps instructions you can use as a base for your lesson. These also correspond with the worksheet that can be downloaded and printed to give to students.



The next part lists the things students should know before this lesson begins. Doing an introductive activity with these definitions could be a great way to start the lesson. Make sure students understand and can visualize these definitions before beginning the activity

The activity allows students to determine a formula on their own for the total degrees of a shape, based on the number of sides, triangles, and the sum of the interior angles.



This website is very organized and give step-by-step instructions for the activity. Students are to draw polygons and notice that the can be broken up into non-overlapping triangles "triangulation."

Triangles then help us determine the sum of the interior angles of any polygon.

After doing this activity, students should develop a formula for the interior angle sum that applies to all polygons.

Students can then use the angle sum interactive activity for students to create triangles in the different polygons provided.

Students can easily access this activity by clicking the link provided on the website. Nothing needs to be downloaded or uploaded in order for it to work. This makes it simple and easy to access





Students are able to drag the sides, which changes the degree of each angle, but the should begin to notice that a triangle’s three sides always totals to be 180 degrees.

They are then able to see this for quadrilaterals, pentagons, hexagons, heptagons, and octagons.





With these activities, students can play around with each different shape, make some sides concave and convex, but also they should begin to notice that the total sum of the angles never changes.

Extra questions and a student activity is included to help the topic develop in students minds.





The worksheet's questions coincide with the student's actions and get them to think further.



An Answer sheet is also included for the students worksheet.

This would be a great resource especially for new teachers. It is very organized and gives almost step-by-step instructions of what to say and do with the students. It includes a pre-made handout which coincides with the activities. The technology helps students get involved with the activity and makes it easy for them to experiment and help prove their hypothesis. It is simple to use, easy to access, and also leaves room for less error. Teachers can easily monitor what the students are working on.
 * Why This Website Is So Helpful for Students and Teachers:**

This website also includes the following links:



These different links are very helpful for having class discussions, options for tests, or lesson extensions.

http://illuminations.nctm.org/LessonDetail.aspx?id=L765
 * Link To Activity:**