🕯️ Direction Card — Read Before You Begin

Materials needed: This worksheet, a pencil, a ruler, and a mirror (for symmetry work).

How to use this material:

1. Read each question carefully before writing your answer.
2. Use your ruler when drawing lines or measuring.
3. For symmetry tasks, place your mirror along the line of symmetry to check your work.
4. Work quietly and at your own pace.
5. When finished, use the Control of Error Card (provided by your teacher) to check your answers independently.

🌟 Extension learners: Look for the star (⭐) tasks throughout the worksheet for an extra challenge!

💡 Support tip: If you find a question tricky, try using a real candle shape cut-out from your geometry cabinet to help you visualise.

🔷 Part 1: Identifying Shapes in Candle Designs

Candles come in many shapes! Look carefully at the descriptions below and answer the questions.

Surface area = _________ cm²

Volume = _________ cm³

🪞 Part 2: Symmetry with Candles

A shape has a line of symmetry when one half is a mirror image of the other. Use your ruler and pencil to complete the tasks below.

💡 Support tip: Fold a piece of paper in half to help you understand what symmetry looks like before drawing.

A circle has _________ line(s) of symmetry.

A rectangle has _________ line(s) of symmetry.

A regular hexagon has _________ line(s) of symmetry.

🧩 Part 3: Spatial Awareness & Reflection

Think about how candles and their shapes relate to the space around them.

Tray dimensions: _________ cm × _________ cm

💡 Support tip: Think about the shape of the mould, the box it comes in, or how candles are arranged in a store.

✅ Control of Error Card — Teacher Reference

This section is to be printed separately and given to students after completing the worksheet, or kept at the checking station. Students use this independently to self-correct — a core Montessori principle.

Q1: Cylinder

Q2: Cylinder + Cone

Q3: Diameter

Q4: Surface area = 6 × (6 × 6) = 6 × 36 = 216 cm²

⭐ Q4 Extension: Volume = π × r² × h = 3.14 × 4² × 15 = 3.14 × 16 × 15 = 753.6 cm³

Q6: Circle = infinite; Rectangle = 2; Regular hexagon = 6

Q7: An oval has 2 lines of symmetry (horizontal and vertical through the centre), but is not infinitely symmetrical like a circle. Accept well-reasoned student responses.

Q9: 3 candles × 4 cm = 12 cm per side. Tray = 12 cm × 12 cm

Q8 & Q10: Open-ended — assess for use of appropriate geometry vocabulary and reasoning.

🌟 Extension answers should be assessed for correct use of formula and accurate calculation. Accept minor rounding differences when using π ≈ 3.14.