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Math lesson plan · 3rd grade (Year 4 in England) · 60 minutes

Classify quadrilaterals

Geometry

CCSS 3.G.A.1England: Y3 GeometryEngland: Y4 GeometryEngland: Y6 Geometry

Objective and success criteria

Students will: Classify quadrilaterals.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Polygons: sides and vertices

Leads to: Angles: types and measuring; Name quadrilaterals from their properties

Materials: Rulers and protractors, Squared or dotted paper, Shape cut-outs, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Polygons: sides and vertices). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. How many sides do a pentagon and a hexagon have altogether? → 11Prompt: How many sides does a pentagon have?
  2. How many sides do a octagon and a rectangle have altogether? → 12Prompt: How many sides does a octagon have?
  3. How many sides do a square and a rectangle have altogether? → 8Prompt: How many sides does a square have?

Hook · 6 min

  • Show a photo of a building, a tile pattern or a road sign and ask what shapes and angles students can spot.
  • Share the objective: Classify quadrilaterals. Read the success criteria together.

I do: model it · 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: A quadrilateral has 4 equal sides and 4 right angles. What is it?
  • Step 1: That describes a square.
  • Answer: square
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 12 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. A quadrilateral has two pairs of parallel sides and no right angles, sides not all equal. What is it? (trapezoid (trapezium) / rhombus / square / parallelogram) → parallelogramPrompt: Check the sides: are they equal? Are any parallel?
  2. True or false? Every rectangle is a parallelogram. (True / False) → TruePrompt: Think about what the definition of each shape needs.

You do: independent practice · 17 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. True or false? Every square is a rhombus. (True / False) → TruePrompt: Think about what the definition of each shape needs.
  2. A quadrilateral has exactly one pair of parallel sides. What is it? (parallelogram / trapezoid (trapezium) / rhombus / rectangle) → trapezoid (trapezium)Prompt: Check the sides: are they equal? Are any parallel?

Watch out for

  • Thinking a square turned on its corner is no longer a square.
  • Reading the wrong scale on a protractor.

Support and stretch

Support

  • Review first: Polygons: sides and vertices.
  • Use concrete materials: rulers and protractors.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Move on to: Angles: types and measuring; Name quadrilaterals from their properties.
  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-3.

Free lesson plan from eurekami.com/lesson-plan-builder

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Classify quadrilaterals

Name

Date

Score/ 8

  1. Question 1

    A quadrilateral has 4 right angles and opposite sides equal, but not all sides equal. What is it?

    • A. rectangle
    • B. trapezoid (trapezium)
    • C. rhombus
    • D. parallelogram
  2. Question 2

    True or false? Every rhombus is a square.

    • A. True
    • B. False
  3. Question 3

    True or false? Every square is a rhombus.

    • A. True
    • B. False
  4. Question 4

    A quadrilateral has exactly one pair of parallel sides. What is it?

    • A. parallelogram
    • B. rhombus
    • C. rectangle
    • D. trapezoid (trapezium)
  5. Question 5

    True or false? A trapezoid always has two pairs of parallel sides.

    • A. True
    • B. False
  6. Question 6

    A quadrilateral has two pairs of parallel sides and no right angles, sides not all equal. What is it?

    • A. rectangle
    • B. square
    • C. rhombus
    • D. parallelogram
  7. Question 7

    True or false? Every square is a rectangle.

    • A. True
    • B. False
  8. Question 8

    True or false? Every rectangle is a square.

    • A. True
    • B. False

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Answer key: Classify quadrilaterals

  1. 1. A. rectangle

  2. 2. B. False

  3. 3. A. True

  4. 4. D. trapezoid (trapezium)

  5. 5. B. False

  6. 6. D. parallelogram

  7. 7. A. True

  8. 8. B. False