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Math lesson plan · 5th grade (Year 6 in England) · 30 minutes

Families of quadrilaterals: always, sometimes, never

Geometry

CCSS 5.G.B.3CCSS 5.G.B.4England: Y6 Geometry

Objective and success criteria

Students will: Families of quadrilaterals: always, sometimes, never.

  • 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: Name quadrilaterals from their properties

Leads to: the next skill in this area.

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 (Name quadrilaterals from their properties). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  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 trapezium (trapezoid) have? → 1Prompt: Parallel sides point the same way and never meet.
  3. Which quadrilateral has four equal sides but no right angles? (trapezium (trapezoid) / rhombus / square / rectangle (not a square) / parallelogram) → rhombusPrompt: Check parallel sides first, then right angles.

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: Families of quadrilaterals: always, sometimes, never. 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: True or false? Every trapezium has two pairs of parallel sides.
  • Step 1: false
  • Answer: false
  • 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. True or false? Every rhombus is a parallelogram. (true / false) → truePrompt: List the properties each shape must have.
  2. Always, sometimes or never true? A rectangle has four equal sides. (always / sometimes / never) → sometimesPrompt: Try to draw an example where it is true, and one where it is false.

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. True or false? Every rectangle is a square. (true / false) → falsePrompt: List the properties each shape must have.
  2. Always, sometimes or never true? A rectangle has exactly one pair of parallel sides. (always / sometimes / never) → neverPrompt: Try to draw an example where it is true, and one where it is false.

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: Name quadrilaterals from their properties.
  • 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

  • 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-5.

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

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Families of quadrilaterals: always, sometimes, never

Name

Date

Score/ 6

  1. Question 1

    Always, sometimes or never true? A parallelogram has a right angle.

    • A. always
    • B. sometimes
    • C. never
  2. Question 2

    True or false? Every square is a rhombus.

    • A. true
    • B. false
  3. Question 3

    Always, sometimes or never true? A square has four right angles.

    • A. always
    • B. sometimes
    • C. never
  4. Question 4

    True or false? Every trapezium has two pairs of parallel sides.

    • A. true
    • B. false
  5. Question 5

    True or false? Every rectangle is a square.

    • A. true
    • B. false
  6. Question 6

    Always, sometimes or never true? A rectangle has exactly one pair of parallel sides.

    • A. always
    • B. sometimes
    • C. never

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Answer key: Families of quadrilaterals: always, sometimes, never

  1. 1. B. sometimes

  2. 2. A. true

  3. 3. A. always

  4. 4. B. false

  5. 5. B. false

  6. 6. C. never