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Lines of Symmetry

Fourth graders learn that a line of symmetry folds a figure into two matching halves, test figures for that fold, and sort shapes and letters into symmetrical and not symmetrical.

Grade 4Lines of Symmetry30 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 a line of symmetry.
  • ✓Test the fold.
  • ✓Find all lines in a shape.
  • ✓Sort each figure.
Essential Question

Fold a paper heart and the halves match; fold the letter R and they do not. What makes a figure symmetrical, and how do we find its lines of symmetry?

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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 Figures · Interactive

Sort the Figures

Project this and sort each figure into symmetrical or not — tap a figure, then tap whether it has a line of symmetry.

✂️ Sort each figure: symmetrical or not?Try it
✂️ Symmetrical
🚫 Not symmetrical
Tap a figure, then tap whether it has a line of symmetry (symmetrical) or not.
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 — The Folding Test

5 min

Fold a paper heart down the middle and the two halves match exactly. Fold the letter R and they do not. What makes the difference?

👩‍🏫 Teacher Moves

  • Fold a paper heart.
  • Ask why the halves match.
  • Set the goal.

🎒 Student Actions

  • Watch.
  • Share.
  • Get ready.
2

Use — Sort the Figures

12 min

Students sort figures as symmetrical or not.

👩‍🏫 Teacher Moves

  • Send students to Sort the Figures.
  • Drop each figure.
  • Explain each choice.

🎒 Student Actions

  • Sort.
  • Say.
  • Explain.
3

Modify — Draw the Line

13 min

Students draw lines of symmetry.

👩‍🏫 Teacher Moves

  • Pick a symmetrical shape.
  • Draw a line that folds it in half.
  • Check that the halves match.

🎒 Student Actions

  • Pick.
  • Draw.
  • Check.
4

Create — Symmetry Design

15 min

Students make a symmetric design.

👩‍🏫 Teacher Moves

  • Draw a line down the page.
  • Draw a shape on one side.
  • Mirror it exactly on the other.

🎒 Student Actions

  • Draw.
  • Draw.
  • Mirror.
5

Reflect — Matching Halves

5 min

Students reflect on symmetry.

👩‍🏫 Teacher Moves

  • What is a line of symmetry?
  • Can a shape have more than one line of symmetry?
  • 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.3

Recognize a line of symmetry for a figure and identify line-symmetric figures and draw lines of symmetry.

CCSS
4.G.A.2

Classify two-dimensional figures based on the presence or absence of lines of a specified type.

CCSS
4.G.A.1

Draw points, lines, line segments, rays, and angles, and identify them in figures.

CCSS
MP.7

Look for and make use of structure.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Figure + fold-line cards.
  • Sentence frame: “___ is / is not symmetrical.”
  • Sort two figures at a time.

Support & Access

IEP / 504
  • Start with a square and the letter R.
  • Fold real paper cutouts to test.
  • Sort symmetrical figures fully first.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Count all the lines of symmetry in each shape.
  • Find symmetry in regular polygons.
  • Explore rotational symmetry.
Materials

What to gather

  • 📽️Projector / board
  • ✂️Paper cutouts to fold
  • 💻Sort the Figures
  • 🪞A small mirror
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

symmetrybalance where two halves of a figure match exactlyline of symmetrya line that folds a figure into two matching halvessymmetricalhaving at least one line of symmetrymirror imagea reflected copy, as one half of a symmetric figurereflectiona flip of a figure across a linehalfone of two equal parts of a figurevertical linea line that runs straight up and downhorizontal linea line that runs straight across
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 is a line of symmetry?
A line that folds a figure into two halves that match exactly.
QUESTION 2
Is the letter H symmetrical, and how do you know?
Yes; it can fold along a vertical line (and a horizontal one) into matching halves.
QUESTION 3
Can a shape have more than one line of symmetry? Give an example.
Yes; a square has four lines of symmetry.

Create: a symmetry design.

Have students draw a line down the page, draw a shape on one side, and mirror it exactly on the other, so symmetry becomes something they make. A printable lines-of-symmetry 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.

🃏 Lines of SymmetryFlip
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.

📝 Lines of SymmetryQuiz
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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.

🖨️ Lines of SymmetryPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: half, horizontal line, line of symmetry, mirror image, reflection, symmetrical, symmetry, vertical line
  1. a reflected copy, as one half of a symmetric figure
  2. a flip of a figure across a line
  3. a line that runs straight up and down
  4. a line that runs straight across
  5. having at least one line of symmetry
  6. one of two equal parts of a figure
  7. balance where two halves of a figure match exactly
  8. a line that folds a figure into two matching halves

Part B · Show what you learned

  1. What is a line of symmetry?
  2. Is the letter H symmetrical, and how do you know?
  3. Can a shape have more than one line of symmetry? Give an example.
Answer key — Part A: 1) mirror image · 2) reflection · 3) vertical line · 4) horizontal line · 5) symmetrical · 6) half · 7) symmetry · 8) line of symmetry
Part B: 1) A line that folds a figure into two halves that match exactly. 2) Yes; it can fold along a vertical line (and a horizontal one) into matching halves. 3) Yes; a square has four lines of symmetry.