Angle Relationships

STUDENT LEARNING GOALS:

GOAL #1: I can classify lines, angles and shapes.

GOAL #2: I can determine relationships between intersecting and parallel lines.

GOAL #3: I can determine the interior angles of triangles and polygons.

QUIZ: Angles in a Triangle (Source: Nelson Education)

https://illuminations.nctm.org/Activity.aspx?id=3546

GOAL #4: I can use the Pythagorean Theorem to solve problems.

CURRICULUM EXPECTATIONS:

sort and classify quadrilaterals by geometric properties, including those based on diagonals, through investigation using a variety of tools (e.g., concrete materials, dynamic geometry software) (Sample problem:Which quadrilaterals have diagonals that bisect each other perpendicularly?);
investigate and describe applications of geometric properties (e.g., properties of triangles, quadrilaterals, and circles) in the real world.determine, through investigation using a variety of tools (e.g., dynamic geometry software, concrete materials, protractor) and strategies (e.g., paper folding), the angle relationships for intersecting lines and for parallel lines and transversals, and the sum of the angles of a triangle;
solve angle-relationship problems involving triangles (e.g., finding interior angles or complementary angles), intersecting lines (e.g., finding supplementary angles or opposite angles), and parallel lines and transversals (e.g., finding alternate angles or corresponding angles);
determine the Pythagorean relationship, through investigation using a variety of tools (e.g., dynamic geometry software; paper and scissors; geoboard) and strategies;
solve problems involving right triangles geometrically, using the Pythagorean relationship;