Grades 11 & 12

1.) Students will use teacher-provided materials to build triangles and keep track of the sets of lengths that form triangles and the sets of lengths that do not.

2.) Students will use a compass and straight edge to construct a triangle, if possible, given the three side lengths. They will also indicate what sets of lengths do and do not make a triangle.
3.) Students will determine the longest and shortest the third side of a triangle can be, given the lengths of the other two sides.
4.) Students will design a kitchen using the following information and Triangle Inequality Theorem: The maximum recommended distance between the sink, oven and refrigerator is 22 feet. For example, list all possible sets of distances between the three appliances that fit the Triangle Inequality Theorem if the total distance is 22 feet. Indicate which sets are preferable and why.
5.) Students will identify which triplets of numbers provided by the teacher will and will not form triangles. For example, is it possible to make a triangle of segments with the lengths of 5 cm, 2 cm, and 1 cm? No, 2 + 1 < 5 (Triangle Inequality Theorem, the sum of the length of any two sides in a triangle must be greater than the length of the third side).

Previously Published Data

1.) Students will identify which triplets of line segments provided by the teacher will and will not form triangles.

2.) Students will find the maximum and minimum distances among three cities, given the distance between any two of the cities.