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Parallel and Perpendicular Lines

Fourth graders learn to tell parallel lines, which stay the same distance apart, from perpendicular lines, which cross at a right angle, and sort real examples into the two groups.

Grade 4Parallel and Perpendicular Lines30 minutes1 class periodPlay-BasedExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Define parallel.
  • ✓Define perpendicular.
  • ✓Spot a right angle.
  • ✓Sort each example.
Essential Question

Railroad tracks never touch; the corner of this page makes a square corner. How do parallel and perpendicular lines behave differently?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Sort the Lines · Interactive

Sort the Lines

Project this and sort each example into parallel or perpendicular — tap an example, then tap where it belongs.

📐 Sort each example: parallel or perpendicular?Try it
║ Parallel
┻ Perpendicular
Tap an example, then tap whether the lines are parallel (never meet) or perpendicular (cross at a right angle).
The Lesson · Play-Based Learning (Gather · Explore · Play · Reflect)

30 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Hook — Meet or Never Meet

5 min

Railroad tracks run side by side and never touch. The corner of this page makes a square corner. Both are about lines, but they behave very differently. How?

👩‍🏫 Teacher Moves

  • Show tracks and a corner.
  • Ask how they differ.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Sort the Lines

12 min

Students sort examples as parallel or perpendicular.

👩‍🏫 Teacher Moves

  • Send students to Sort the Lines.
  • Drop each example.
  • Explain each choice.

🎒 Student Actions

  • Sort.
  • Say.
  • Explain.
3

Modify — Find Them Around You

13 min

Students spot lines in the room.

👩‍🏫 Teacher Moves

  • Find parallel lines nearby.
  • Find perpendicular lines nearby.
  • Name each pair.

🎒 Student Actions

  • Find.
  • Find.
  • Name.
4

Create — Line Design

15 min

Students draw both kinds.

👩‍🏫 Teacher Moves

  • Draw a pair of parallel lines.
  • Draw a pair of perpendicular lines.
  • Mark the right angle.

🎒 Student Actions

  • Draw.
  • Draw.
  • Mark.
5

Reflect — How Lines Relate

5 min

Students reflect on the two kinds.

👩‍🏫 Teacher Moves

  • What makes two lines parallel?
  • What angle do perpendicular lines make?
  • Complete the exit ticket.

🎒 Student Actions

  • Say it.
  • Say it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics (Grade 4).

CCSS
4.G.A.1

Draw and identify points, lines, rays, angles, and parallel and perpendicular lines.

CCSS
4.G.A.2

Classify two-dimensional figures based on parallel or perpendicular lines.

CCSS
3.G.A.1

Understand that shapes may share attributes such as right angles.

CCSS
MP.7

Look for and make use of structure.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Line-pair picture cards.
  • Sentence frame: “___ lines are parallel / perpendicular.”
  • Sort two examples at a time.

Support & Access

IEP / 504
  • Start with tracks vs a corner.
  • Use a corner of paper to test right angles.
  • Sort parallel examples fully first.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Find both kinds in classroom shapes.
  • Classify quadrilaterals by their lines.
  • Add intersecting lines that are neither.
Materials

What to gather

  • 📽️Projector / board
  • 🖼️Line-pair cards
  • 💻Sort the Lines
  • 📐Rulers and a square corner
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

parallel lineslines that stay the same distance apart and never meetperpendicular lineslines that cross to form a right angleright anglea square corner, exactly 90 degreeslinea straight path that goes on forever in both directionsintersectto cross or meet at a pointline segmenta straight part of a line with two endpointsanglethe opening between two lines that meetdistancehow far apart two things are
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
What makes two lines parallel?
They stay the same distance apart and never meet, no matter how far they go.
QUESTION 2
What angle do perpendicular lines make where they cross?
A right angle (a square corner, 90 degrees).
QUESTION 3
Name one real example of perpendicular lines.
For example, the corner of a square, a plus sign, or where a wall meets the floor.

Create: a line design.

Have students draw a pair of parallel lines and a pair of perpendicular lines and mark the right angle, so the difference becomes something they can see. A printable parallel-and-perpendicular worksheet is in the Mathematics library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Parallel and Perpendicular LinesFlip
Card 1
Term
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Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Parallel and Perpendicular LinesQuiz
Score: 0
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Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Parallel and Perpendicular LinesPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: angle, distance, intersect, line, line segment, parallel lines, perpendicular lines, right angle
  1. a straight path that goes on forever in both directions
  2. to cross or meet at a point
  3. the opening between two lines that meet
  4. how far apart two things are
  5. a square corner, exactly 90 degrees
  6. a straight part of a line with two endpoints
  7. lines that stay the same distance apart and never meet
  8. lines that cross to form a right angle

Part B · Show what you learned

  1. What makes two lines parallel?
  2. What angle do perpendicular lines make where they cross?
  3. Name one real example of perpendicular lines.
Answer key — Part A: 1) line · 2) intersect · 3) angle · 4) distance · 5) right angle · 6) line segment · 7) parallel lines · 8) perpendicular lines
Part B: 1) They stay the same distance apart and never meet, no matter how far they go. 2) A right angle (a square corner, 90 degrees). 3) For example, the corner of a square, a plus sign, or where a wall meets the floor.