Geometry MA3300 & MA3500
Unit 3 Parallel & Perpendicular Lines
3-1 Parallel Lines & Transversals
3-1 Objectives:
 Identify the relationship between two lines & two planes.
 Name angles formed by a pair of lines cut by a transversal.
3-1 Activities:
 Students use real-life situations to model parallel and perpendicular
lines.
 Students match names of pairs of angles formed when a pair of lines is
cut by a transversal.
 Students practice using the names of angles formed.
 Online activities on Webpage to review basic concepts
3-1 Assessments:
 Do-now WS to assess student understanding of basic concepts.
Drawing a map of streets that are parallel & perpendicular given
directions.
Students name planes & segments that are parallel & perpendicular on a
cube.
 Homework assignments
3-1 Practice Worksheets
 Quiz 3-1 & 3-2 (Naming angle relationships for parallel lines) after 3-2.
 Ongoing Review Exercises to spiral learned concepts.
3-2 Angles and Parallel Lines
3-2 Objectives:
 Use properties of parallel lines to determine angles that are congruent
and angles that are supplementary.
 Use algebra to find the measures of angles formed by parallel lines.
3-2 Activities:
 Geometer’s Sketchpad Activity to discover angle relationships for
angles formed by a transversal cutting parallel lines.
 Students color angles to help visualize angle relationships.
 Students use algebra to find angles formed when a transversal cuts
parallel lines.
 Students solve crooks problems.
3-2 Assessments:
 Do-now WS to assess understanding of basic concepts.
 Homework assignments
3-2 Practice Worksheets
 Quiz 3-1 & 3-2 (Parallel Lines & Angle Relationships)
 Ongoing Review Exercises to spiral learned concepts.
3-3 Slopes of Lines
3-3 Objectives:
 Calculate slopes of lines by counting rise / run and using slope formula.
 Use slope to identify parallel & perpendicular lines.
 Draw lines using given point and slope or lines parallel or perpendicular
given lines.
3-3 Activities:
 Students calculate slope by counting rise / run and using slope formula.
 Students draw lines with given slopes. (to solve a puzzle)
 Students make conclusions about parallel & perpendicular lines by
calculating slope and graphing the lines.
 Communicator activities to review basic concepts.
 Online activities on Webpage to review basic concepts
3-3 Assessments:
 Do-now WS to assess understanding of basic concepts.
 Homework assignments
3-3 Practice Worksheets
 Ongoing Review Exercises to spiral learned concepts.
3-4 Equations of Lines (reviewed this material from Algebra I in
the summer packet and assessed in the summer packet assessment.
3-5 Proving Lines Parallel
3-5 Objectives:
 Recognize angle conditions that occur with parallel lines.
 Prove that two lines are parallel based on given angle relationships.
3-5 Activities:
 Geometer’s Sketchpad activity to illustrate when lines are parallel.
3-5 Assessments:
 Do-now WS to assess understanding of basic concepts.
 Homework assignments
3-5 Practice WS
3-6 Perpendiculars & Distance
3-6 Objectives:
 Find distance between a point & a line.
 Find distance between two parallel lines.
 Conclude if two lines are parallel to the same line then the two lines are
parallel (Duals Parallel Theorem)
 Conclude if two lines are perpendicular to the same line then the two
lines are parallel (Duals Perpendicular Theorem)
3-6 Activities:
 Perpendiculars & distance investigation.
 Drawing segments used to find shortest distances.
3-6 Assessments:
 Do-now WS to assess understanding of basic concepts.
 Homework assignments
3-6 Practice WS
 Chapter 3 Review
 Ongoing Review Exercises to spiral learned concepts.
 Chapter 3 Test
Web Resources & Practice