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Math lesson plan · 4th grade (Year 5 in England) · 30 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 · 4 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? (rectangle / rhombus / square / trapezoid (trapezium)) → trapezoid (trapezium)Prompt: Check the sides: are they equal? Are any parallel?
  2. On Diego'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? A trapezoid always has two pairs of parallel sides. (True / False) → FalsePrompt: Think about what the definition of each shape needs.

Hook · 3 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 · 7 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 · 6 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 exactly one pair of parallel sides? (trapezium (trapezoid) / rhombus / square / rectangle (not a square) / parallelogram) → trapezium (trapezoid)Prompt: Check parallel sides first, then right angles.
  2. How many pairs of parallel sides does a rhombus have? → 2Prompt: Parallel sides point the same way and never meet.

You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 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 but two pairs of different-length sides? (trapezium (trapezoid) / rhombus / square / rectangle (not a square) / parallelogram) → rectangle (not a square)Prompt: 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/ 6

  1. Question 1

    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
  2. Question 2

    How many pairs of parallel sides does a rectangle have?

    Answer

  3. Question 3

    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
  4. Question 4

    How many pairs of parallel sides does a square have?

    Answer

  5. Question 5

    Which quadrilateral has four equal sides but no right angles?

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

    How many pairs of parallel sides does a rhombus have?

    Answer

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Answer key: Name quadrilaterals from their properties

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

  2. 2. 2

  3. 3. E. parallelogram

  4. 4. 2

  5. 5. B. rhombus

  6. 6. 2