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Math lesson plan · 2nd grade (Year 3 in England) · 45 minutes

Faces, edges and vertices of 3D shapes

Geometry

CCSS 2.G.A.1England: Y2 Geometry

Objective and success criteria

Students will: Faces, edges and vertices of 3D shapes.

  • 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 3D shapes

Leads to: Match nets to 3D shapes; Match nets to solids and count faces, edges and vertices; Describe cross-sections of solids

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 (Name 3D shapes). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What 3D shape is a ball most like? (cylinder / cuboid / sphere / cube) → spherePrompt: Does it roll? Does it have flat faces?
  2. Which of these is a solid (3D) shape: square, sphere, rectangle? (sphere / square / rectangle) → spherePrompt: Flat shapes can be drawn on paper. Solid shapes can be picked up.
  3. What 3D shape is an orange most like? (cylinder / cuboid / sphere / cone) → spherePrompt: Does it roll? Does it have flat faces?

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: Faces, edges and vertices of 3D shapes. 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: How many edges does a cuboid have?
  • Step 1: A cuboid has 6 faces, 12 edges and 8 vertices.
  • Answer: 12
  • 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. How many faces does a cube have? → 6Prompt: Faces are flat surfaces, edges are where two faces meet, vertices are corners.
  2. How many faces does a triangular prism have? → 5Prompt: Faces are flat surfaces, edges are where two faces meet, vertices are corners.

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. How many faces does a cube have? → 6Prompt: Faces are flat surfaces, edges are where two faces meet, vertices are corners.
  2. How many edges does a cuboid have? → 12Prompt: Faces are flat surfaces, edges are where two faces meet, vertices are corners.

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 3D shapes.
  • 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: Match nets to 3D shapes; Match nets to solids and count faces, edges and vertices; Describe cross-sections of solids.
  • 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-2.

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

eurekami

Faces, edges and vertices of 3D shapes

Name

Date

Score/ 8

  1. Question 1

    How many vertices (corners) does a cube have?

    Answer

  2. Question 2

    How many edges does a triangular pyramid (tetrahedron) have?

    Answer

  3. Question 3

    How many vertices (corners) does a cuboid have?

    Answer

  4. Question 4

    How many faces does a triangular pyramid (tetrahedron) have?

    Answer

  5. Question 5

    How many vertices (corners) does a square-based pyramid have?

    Answer

  6. Question 6

    How many faces does a cuboid have?

    Answer

  7. Question 7

    How many faces does a square-based pyramid have?

    Answer

  8. Question 8

    How many edges does a cube have?

    Answer

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Answer key: Faces, edges and vertices of 3D shapes

  1. 1. 8

  2. 2. 6

  3. 3. 8

  4. 4. 4

  5. 5. 5

  6. 6. 6

  7. 7. 5

  8. 8. 12