In this lesson, students use the Information Gap language routine to decide on and ask for information needed to solve a problem. The Warm-up introduces students to the Information Gap routine and gives them a chance to practice their questioning skills with teacher guidance before working with a partner in the next activity. Students will also practice using their knowledge of angle pairs and triangle properties to solve problems about the relative lengths of sides in a triangle. Students may experience some frustration if their initial questions are unproductive and will practice making sense of and persevering through a problem (MP1). Students will also attend to precision in their language as they communicate with their partner (MP6).
Determine and ask for the information needed to solve a problem involving triangles.
Let’s ask and answer questions about figures made up of triangles.
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.