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Polygons

Third graders learn the two rules that make a shape a polygon, closed and made of straight sides, and sort familiar shapes into polygons and not polygons.

Grade 3Polygons30 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 polygon.
  • ✓Use the two rules.
  • ✓Name polygons by sides.
  • ✓Sort each shape.
Essential Question

A triangle is a polygon and a circle is not, even though both are shapes. What are the two rules that decide whether a shape is a polygon?

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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 Shapes · Interactive

Sort the Shapes

Project this and sort each shape into polygon or not a polygon — tap a shape, then tap where it belongs.

🔷 Sort each shape: polygon or not?Try it
🔷 Polygon
🚫 Not a polygon
Tap a shape, then tap whether it is a polygon (closed, all straight sides) 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 — What Makes a Polygon?

5 min

A triangle is a polygon, but a circle is not. Both are shapes, so what is the rule that lets one in and keeps the other out?

👩‍🏫 Teacher Moves

  • Show a triangle and a circle.
  • Ask what is different.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Sort the Shapes

12 min

Students sort shapes into polygons and not polygons.

👩‍🏫 Teacher Moves

  • Send students to Sort the Shapes.
  • Drop each shape.
  • Explain each choice.

🎒 Student Actions

  • Sort.
  • Say.
  • Explain.
3

Modify — Count the Sides

13 min

Students name polygons by their sides.

👩‍🏫 Teacher Moves

  • Pick a polygon.
  • Count its straight sides.
  • Name it (triangle, pentagon...).

🎒 Student Actions

  • Pick.
  • Count.
  • Name.
4

Create — Polygon Hunt

15 min

Students find polygons around them.

👩‍🏫 Teacher Moves

  • Look around the room.
  • Find three polygons.
  • Name each one by its sides.

🎒 Student Actions

  • Look.
  • Find.
  • Name.
5

Reflect — The Two Rules

5 min

Students reflect on polygons.

👩‍🏫 Teacher Moves

  • What two rules make a shape a polygon?
  • Why is a circle not a polygon?
  • 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 3).

CCSS
3.G.A.1

Understand that shapes in different categories may share attributes and that shared attributes can define a larger category, such as quadrilaterals.

CCSS
2.G.A.1

Recognize and draw shapes having specified attributes; identify triangles, quadrilaterals, pentagons, and hexagons.

CCSS
4.G.A.2

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

CCSS
MP.6

Attend to precision.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Shape picture cards.
  • Sentence frame: “___ is / is not a polygon because ___ .”
  • Sort two shapes at a time.

Support & Access

IEP / 504
  • Start with a triangle and a circle.
  • Trace each shape to find straight sides.
  • Sort all polygons fully first.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Name each polygon by its number of sides.
  • Add tricky cases (an open shape, an arrow).
  • Explore regular vs irregular polygons.
Materials

What to gather

  • 📽️Projector / board
  • 🔷Shape cutouts
  • 💻Sort the Shapes
  • 🖼️Shape picture cards
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

polygona closed, flat shape made of straight sidessideone of the straight line segments that form a polygonclosed shapea shape whose sides join with no gaps or openingsvertexa corner where two sides of a polygon meettrianglea polygon with three sidesquadrilaterala polygon with four sidespentagona polygon with five sideshexagona polygon with six sides
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 two rules make a shape a polygon?
It must be closed, and all of its sides must be straight.
QUESTION 2
Why is a circle not a polygon?
Because it has no straight sides; its edge is one curved line.
QUESTION 3
What do you call a polygon with five sides?
A pentagon.

Create: a polygon hunt.

Have students look around the room, find three polygons, and name each one by its number of sides, so the definition connects to the real world. A printable polygons 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.

🃏 PolygonsFlip
Card 1
Term
Tap to flip →
Meaning
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Nice work!

Practice · Quiz

Check your understanding

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

📝 PolygonsQuiz
Score: 0
1 / 6
Question 1
0%

Nice work!

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.

🖨️ PolygonsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: closed shape, hexagon, pentagon, polygon, quadrilateral, side, triangle, vertex
  1. a corner where two sides of a polygon meet
  2. a polygon with three sides
  3. a polygon with five sides
  4. a polygon with six sides
  5. a shape whose sides join with no gaps or openings
  6. a polygon with four sides
  7. a closed, flat shape made of straight sides
  8. one of the straight line segments that form a polygon

Part B · Show what you learned

  1. What two rules make a shape a polygon?
  2. Why is a circle not a polygon?
  3. What do you call a polygon with five sides?
Answer key — Part A: 1) vertex · 2) triangle · 3) pentagon · 4) hexagon · 5) closed shape · 6) quadrilateral · 7) polygon · 8) side
Part B: 1) It must be closed, and all of its sides must be straight. 2) Because it has no straight sides; its edge is one curved line. 3) A pentagon.