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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Name quadrilaterals from their properties

Geometry

CCSS 4.G.A.2England: Y4 GeometryEngland: Y5 Geometry

Objective and success criteria

Students will: Name quadrilaterals from their properties.

  • 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: Classify quadrilaterals; Parallel and perpendicular lines

Leads to: Families of quadrilaterals: always, sometimes, never

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

Warm-up · 5 min

  • Quick retrieval from earlier learning (Classify quadrilaterals; Parallel and perpendicular lines). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A quadrilateral has exactly one pair of parallel sides. What is it? (rhombus / square / trapezoid (trapezium) / parallelogram) → trapezoid (trapezium)Prompt: Check the sides: are they equal? Are any parallel?
  2. On Kofi's map, two straight roads never meet, however far they go. What are such lines called? (parallel / perpendicular / intersecting (not perpendicular)) → parallelPrompt: Parallel lines are like train tracks.
  3. True or false? Every rhombus is a square. (True / False) → FalsePrompt: Think about what the definition of each shape needs.

Hook · 5 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: Name quadrilaterals from their properties. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Which quadrilateral has four right angles but two pairs of different-length sides?
  • Step 1: rectangle (not a square)
  • Answer: rectangle (not a square)
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 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. Which quadrilateral has two pairs of parallel sides and no right angles, with neighbouring sides of different lengths? (trapezium (trapezoid) / rhombus / square / rectangle (not a square) / parallelogram) → parallelogramPrompt: Check parallel sides first, then right angles.
  2. How many pairs of parallel sides does a rectangle have? → 2Prompt: Parallel sides point the same way and never meet.

You do: independent practice · 10 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Which quadrilateral has four right angles and four equal sides? (trapezium (trapezoid) / rhombus / square / rectangle (not a square) / parallelogram) → squarePrompt: Check parallel sides first, then right angles.
  2. How many pairs of parallel sides does a trapezium (trapezoid) have? → 1Prompt: Parallel sides point the same way and never meet.

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: Classify quadrilaterals.
  • 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: Families of quadrilaterals: always, sometimes, never.
  • 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-4.

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

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Name quadrilaterals from their properties

Name

Date

Score/ 8

  1. Question 1

    How many pairs of parallel sides does a rhombus have?

    Answer

  2. Question 2

    Which quadrilateral has four equal sides but no right angles?

    • A. trapezium (trapezoid)
    • B. rhombus
    • C. square
    • D. rectangle (not a square)
    • E. parallelogram
  3. Question 3

    How many pairs of parallel sides does a square have?

    Answer

  4. Question 4

    How many pairs of parallel sides does a kite have?

    Answer

  5. Question 5

    Which quadrilateral has four right angles but two pairs of different-length sides?

    • A. trapezium (trapezoid)
    • B. rhombus
    • C. square
    • D. rectangle (not a square)
    • E. parallelogram
  6. Question 6

    Which quadrilateral has two pairs of parallel sides and no right angles, with neighbouring sides of different lengths?

    • A. trapezium (trapezoid)
    • B. rhombus
    • C. square
    • D. rectangle (not a square)
    • E. parallelogram
  7. Question 7

    How many pairs of parallel sides does a rectangle have?

    Answer

  8. Question 8

    Which quadrilateral has four right angles and four equal sides?

    • A. trapezium (trapezoid)
    • B. rhombus
    • C. square
    • D. rectangle (not a square)
    • E. parallelogram

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Answer key: Name quadrilaterals from their properties

  1. 1. 2

  2. 2. B. rhombus

  3. 3. 2

  4. 4. 0

  5. 5. D. rectangle (not a square)

  6. 6. E. parallelogram

  7. 7. 2

  8. 8. C. square