Lesson 3: 2-7: Parallel Lines and Transversals
Duration of Days: 2
Lesson Objective
1. Name angle pairs formed by lines and transversals.
2. Use theorems to determine the relationships between specific pairs of angles.
1. How can you tell which line in a figure is the transversal?
2. What are some possible ways to classify a pair of angles?
3. How can you determine whether a pair of angles are corresponding angles?
Transversal
Interior Angles
Exterior Angles
Consecutive Interior Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles
Parallel Lines
G.CO.1
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
G.CO.9
Prove theorems about lines and angles.
https://docs.google.com/document/d/1zq0M4k71wKerXCRC7RRT03j2PjfmBImlaTgUCbpHxkw/copy?usp=sharing
Coplanar lines that do not intersect are called parallel lines. A line that intersects two or more lines in a plane at different points is called a transversal. The intersection of these lines creates a variety of angle relationships that can be used to solve problems.
Mathematically proficient students use clear definitions in discussion with others and in their own reasoning.
Mathematically proficient students consider the available tools when solving a problem.
City planners often use a grid layout. In this arrangement, streets are parallel and are intersected by cross streets. This creates square or rectangular city blocks. The size of a city block is not standardized. Within a city, there can be variances in the size of a block.
Students approaching grade level can be given practice problems in small groups to work with other students or directly with the teacher.
Students beyond grade level can make deeper connections in the following way: students can be given two lines in the coordinate plane and prove whether or not the two lines are parallel using the slope formula.
Formative Assessment
Textbook in class
Access online textbook and resources through class link.