Angle bisectors divide angles into two equal parts. An arts and crafts activity is a suitable way to demonstrate angle bisectors to students. Have students draw symmetrical images and then find the angle bisector of the image that they draw. Give students some examples of symmetrical images, such as a triangular piece of pie or a block of Swiss cheese. Complete the activity by creating a collage wall in the classroom of the images with the angle bisectors drawn on them.
To show students how angle bisectors exist in real life, take the class outside to the playground or on a walk around the school campus to look for examples of shapes that can be divided by angle bisectors. As part of the activity, come up with a scavenger list that you give to each student that contains angle bisector items for them to stay on the lookout for. For instance, if you take the students to the playground and the playground has a square sandbox, put the word "sandbox" on the scavenger hunt list and then ask students to identify where the angle bisector of the sandbox would be. Other objects you can use for this activity include brick sidewalks where the bricks meet together at an angle, playground sets made with square shapes, the lines on a basketball court and outdoor windows.
Learning about angles and angle bisectors can be more stimulating and engaging when it's done in teams. For a team activity, split the students up into pairs or small groups and give each team the task of labeling an angle with an angle bisector. The segments and lines should all be labeled, including the vertex. Have students label the top point of the angle as "A," the vertex as "B" and the bottom point of the angle as "C." A perpendicular bisector should be drawn onto the image -- and labeled "D" -- next. Students can use any combination of letters, numbers or symbols to label the segments.
Demonstration activities give students the chance to show each other how to come up with angle bisectors. For this activity, give students pieces of paper, pencils and rulers and tell them to draw a symmetrical shape on the paper with the pencil and ruler and then fold the paper in such a way that the angle bisector appears as the fold. Students are then called up to the front of the class to demonstrate to classmates how to make the folded angle bisector. As the demonstrator walks the students through the steps, the students follow along with their own paper, pencils and rulers. Some students may come up with symmetrical squares, rectangles or triangles, so try to get students who have different shapes to demonstrate.