You will learn
- Name common 3D shapes.
- Count faces, edges and vertices of a cube.
- Say which 3D shapes roll or stack.
- Match 3D shapes to everyday objects.
Version 0.1 · published for early use · expert review pending Standards alignment: pending verification. Not yet reviewed against the Courseversity scorecard.
Student lesson
Words to know
A solid shape.
A flat or curved surface of a solid.
Where two faces meet.
A corner of a solid.
1. Discover: boxes and balls
A ball rolls but a box does not. Why? Look at shapes you can pick up.
2. Understand: properties of 3D shapes
A 3D shape is solid. We describe it by faces, edges and vertices.
- Cube: 6 equal square faces, 12 edges, 8 vertices.
- Cuboid (a box): 6 rectangle faces, 12 edges, 8 vertices.
- Sphere (a ball): no flat faces, one curved surface.
- Cylinder (a tin): 2 flat circles and 1 curved face.
- Cone: 1 flat circle, 1 curved face, 1 vertex.
3. Explore: solid hunt
You need a box, a ball, a tin and a funnel or cone shape.
- Name each solid.
- Count flat faces on each.
- Find which ones roll and which stack.
- Make a table of your results.
Think about it: what did you notice?
Box: 6 flat faces. Ball: 0. Tin: 2 flat and 1 curved.
4. Practise
Guided practice
Question 1. Flat faces on a cube?
6.
Question 2. Flat faces on a sphere?
0.
Question 3. Flat faces on a cylinder?
2.
Independent practice
- Which shape is a ball?
- Which shape is a tin?
- Vertices of a cube?
- Edges of a cube?
- Flat faces of a cone?
Answers are in the answer key below. Try first, then check.
5. Apply: everyday mathematics
A milk tin is round and has 2 flat circles. Which solid is it?
Show a sample answer
A cylinder.
6. Common mistake
Fix: A square is flat; a cube is solid.
7. Check and master
Answer all questions. You will see feedback after each one.
Your result appears here after you answer every question.
8. Key takeaways
- A cube has 6 faces, 12 edges, 8 vertices.
- A sphere has no flat faces.
- Cylinders and cones have circles.
9. Next lesson
Next lesson: Sides and vertices. Keep going with the next idea in this course.
Printable worksheet
- Shape of a ball
- Shape of a tin
- Vertices of a cube
- Edges of a cube
- Flat faces of a cone
Homework
Find a cube, a cylinder and a sphere at home. Count their flat faces.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Shape of a ball | sphere | 2 |
| Shape of a tin | cylinder | 2 |
| Vertices of a cube | 8 | 2 |
| Edges of a cube | 12 | 2 |
| Flat faces of a cone | 1 | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 sphere; 2 cylinder; 3 8; 4 12; 5 1.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, challenge C.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Name common 3D shapes | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Count faces, edges and vertices of a cube | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Say which 3D shapes roll or stack | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Match 3D shapes to everyday objects | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Proposed Courseversity thresholds for this page: Bronze = at least 3 of 5 core questions correct; Silver = all 5; Gold = all 5 plus the challenge. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Calling a cube a square. A square is flat; a cube is solid.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Hold a box and count its flat faces with a finger.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: name common 3D shapes; count faces, edges and vertices of a cube; say which 3D shapes roll or stack; match 3D shapes to everyday objects.
Prerequisite knowledge. Lesson 1; Grade 1 solid shapes.
Materials. Counters (stones, seeds or bottle tops), paper, pencils, board or chalkboard. Low-resource options: use stones, seeds, sticks, bottle tops or drawings in the sand or on the board instead of printed materials.
Preparation. Gather the counters and draw the example pictures on the board before the lesson.
Suggested duration. 35–45 minutes.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Start with the Discover situation and let learners suggest ideas before you teach.
Explanation (10 min). Teach the Understand section with real objects first, then pictures, then symbols and words.
Guided activity (10 min). You need a box, a ball, a tin and a funnel or cone shape. Learners follow the Explore steps in pairs.
Independent activity (10 min). Learners complete the independent practice and the worksheet.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Teacher explanation notes. Use the concrete, pictorial, abstract order: real objects first, then pictures, then symbols and words. Return to real objects whenever a learner needs support.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and work with a partner; say each step aloud together. Extension. Ask learners to make up their own example and explain it to a partner.
Formative assessment. Listen to learner explanations, ask “how do you know?”, and check the independent work.
Misconceptions. Calling a cube a square. A square is flat; a cube is solid.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 10-mark scheme and all answers are in the answer key above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Hold a box and count its flat faces with a finger. Enrichment. Invite learners to find or create three more examples at home or in the classroom and explain them. Homework. See above.
Teacher reflection. After teaching, record: which concepts learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
Alignment is pending verification and no external endorsement is claimed. Reference starting points named in the Courseversity standard: Common Core State Standards for Mathematics, Cambridge Primary and the IB Primary Years Programme. Specific standard codes will be added once checked against the official documents.