Get a complete, ready-to-print unit that includes everything you need to teach parallel and perpendicular lines, coordinate geometry formulas, and angle relationships with transversals, plus 5 engaging activities.

This 6-lesson unit covers writing equations of parallel and perpendicular lines, applying coordinate geometry formulas, and proving theorems about parallel lines and transversals.

⭐⭐⭐ Now includes lesson videos! ⭐⭐⭐

What's Included

✓ 6 lessons with guided notes, lesson videos, exit tickets, and warm-ups

✓ 3 exploration tasks for developing foundational concepts

✓ 12 practice worksheets (2 comparable forms per lesson) for homework/classwork flexibility

✓ 5 print + digital activities (PDF & Google Slides) for classroom practice, homework, or small groups

✓ Mid-unit and unit reviews (2 forms each) with editable versions

✓ Mid-unit assessment (2 forms) and unit test (3 forms) with editable versions

✓ Concept organizers for alternative note-taking or concept reinforcement

✓ Teacher planning guide with standards alignment and sequence

Lesson Breakdown

Lesson 1: Equations of Parallel and Perpendicular Lines (with Constructions Exploration)

Students will:

• write the equation of a line that passes through a given point and is parallel or perpendicular to a given line using the point-slope formula, including vertical and horizontal lines
• construct parallel and perpendicular lines using a compass and straightedge

Lesson 2: Fractional Distance Between Points

Students will:

• determine the location of a point that is a fractional distance from one endpoint of a line segment to the other endpoint in one-dimension and two-dimensions

Lesson 3: Slope, Distance, and Midpoint Formulas (with Formula Exploration)

Students will:

• derive the slope, distance, and midpoint formulas through a guided exploration task, moving from specific examples to general formulas
• apply the formulas for slope, distance, and midpoint to solve problems and verify geometric relationships

Lesson 4: Lines and Transversals (with Exploration Task)

Students will:

• investigate the relationships between angles formed by the intersection of a set of parallel lines and a transversal
• apply these relationships to solve problems

Lesson 5: Parallel Lines and Transversals Proofs

Students will:

• use properties, definitions, postulates, and theorems to prove statements requiring the use of the special angle relationships created by the intersection of a set of parallel lines and a transversal
• prove statements using reasons such as corresponding, alternate interior, alternate exterior, same side interior, same side exterior, and vertical angles theorems

Lesson 6: Proving Lines are Parallel

Students will:

• use properties, definitions, postulates, and theorems to prove lines are parallel
• prove statements using reasons such as the converse of the corresponding, alternate interior, alternate exterior, same side interior, same side exterior, and vertical angles theorems
• apply the converse theorems to solve problems such as determining the value of a variable that makes two lines parallel

Each Lesson Includes

• Guided notes with organized key concepts and guided practice for scaffolded learning
• Notes video (streaming and download) perfect for confident instruction, absent students, or flipped classrooms
• Practice A & B in two comparable forms for homework/classwork flexibility
• Exit ticket and warm-up for quick formative assessment and next-day review

5 Print + Digital Activities

Digital versions are accessible in Google Slides. Printable PDF versions of each activity are also included.

1. Equations of Parallel and Perpendicular Lines Activity
   Write equations of lines parallel or perpendicular to a given line through a specified point using the point-slope formula
   
2. Slope Distance and Midpoint Formulas Activity
   Apply coordinate geometry formulas to classify triangles and find midpoint vertices
   
3. Applying Theorems - Angles Formed by Parallel Lines Activity
   Calculate angle measures formed by parallel lines and transversals using angle relationship theorems
   
4. Theorem Proofs - Angles Formed by Parallel Lines Activity
   Complete two-column proofs of alternate interior, alternate exterior, and same side angle theorems
   
5. Converse Proofs - Angles Formed by Parallel Lines Activity
   Complete two-column proofs of converse theorems to prove lines are parallel

Additional Unit Resources

• Teacher unit planning guide with standards alignment, learning objectives, and recommended sequence (separate specialized guides for TEKS and CCSS)
• Exploration tasks including constructions, formula derivation, and angle investigations
• Reasons for Proofs reference guide to scaffold this tricky topic for students
• Concept organizers for note-taking or post-lesson concept reinforcement
• Mid-unit review (2 forms) with editable versions
• Mid-unit assessment (2 forms) with editable versions
• Unit review (2 forms) with editable versions
• Unit test (3 forms: two multiple-choice, one free-response) with editable versions and standards alignment for data analysis

This unit is perfect for providing a complete standards-aligned unit or for supplementing existing resources. Use every resource or pick-and-choose from the many options to meet the needs of your students!

Standards

TEKS: G.2A, G.2B, G.2C, G.4A, G.5A, G.5B, G.6A

CCSS: G-CO.9, G-CO.12, G-GPE.5, G-GPE.6, G-GPE.7

⭐️ Bundle & save for a discount ⭐️

Purchase the Geometry Curriculum Mega Bundle (with Activities) to get all 12 units and activities. The curriculum lasts the entire year. It also includes an editable mid-term and editable final exam!

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