1 2 3 4 5 6 Standards Skills Concepts Included in Through a Cognitive Sample Activity Included in Standard Particular Context Demand/ Standard Levels of Thinking D-8.G.5 Use Informal Arguments Parallel lines cut Apply You are building a bench for a picnic table. Use informal arguments to establish to establish facts by a transversal, The top of the bench will be parallel to the facts about the angle sum and about the angle sum and the ground. If the measure of angle 1= 148°, find exterior angle of triangles, about the and exterior angle of criterion the measure of angles 2 and 3 (the drawing angles created when parallel lines triangles, about the would look like a line parallel to the ground are cut by a transversal, and the angles created when (table top) and an x-shaped bench angle-angle criterion for similarity of parallel lines are cut underneath. Explain your answer. triangles. For example, arrange by a transversal, and three copies of the same triangle so the angle-angle that the sum of the three angles criterion for similarity appears to form a line, and give an of triangles. argument in terms of transversals why this is so. Understand and apply the Pythagorean Theorem.
1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity D-8.G.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so. Use Informal Arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. Parallel lines cut by a transversal, and the criterion Apply You are building a bench for a picnic table. The top of the bench will be parallel to the ground. If the measure of angle 1= 148°, find the measure of angles 2 and 3 (the drawing would look like a line parallel to the ground (table top) and an x-shaped bench underneath. Explain your answer. Understand and apply the Pythagorean Theorem.