Chapter 5: Does it Look the Same?
5th StandardMathematics
Chapter Summary
Does it Look the Same? - Chapter Summary
# Let’s Make Patterns from a Drop of Colour
## Overview
This chapter explores symmetry and patterns using colours, shapes, mirrors, and turning. Students learn to create their own symmetrical patterns and investigate how different shapes behave when turned or reflected. They explore mirror halves, half turns, quarter turns, and one-sixth turns through hands-on and visual activities.
## Key Topics Covered
### 1. Patterns from a Drop of Colour
- Students create a pattern by folding a paper, dropping colour in the centre, folding again, and pressing.
- On opening the fold, a pattern appears.
- The key concept: **Symmetrical patterns** — ones that can be split into **mirror halves**.
### 2. Understanding Mirror Halves
- A figure is divided into **mirror halves** if folding along a dotted line makes both sides overlap exactly.
- Not all symmetrical shapes have mirror symmetry due to differences in colour.
- Students observe shapes and decide which have mirror symmetry based on shape and colour.
### 3. Mirror Games
- Children place a mirror on a line to complete a figure.
- They also identify the correct placement of mirrors to recreate given shapes.
- These activities help students understand **reflection symmetry**.
### 4. Half Turn
- A story about a king and his locker is used to explain the concept of a **half turn**.
- Key idea: A shape may look the same or different after a half turn (rotation by 180°).
- The king marks his locker handle with a dot to avoid confusion.
### 5. Shapes and Words After Half Turn
- Students check which shapes or English letters look the same after half a turn:
- Examples: ZOOM, MOW, SWIMS, SIS, NOON.
- Numbers: 0, 1, 8 (look same); others may not.
### 6. Quarter Turn (One-fourth Turn)
- Activity: Make a paper windmill.
- Students explore how the windmill or fan looks after a **quarter turn** (rotation by 90°).
- Some shapes remain the same, others do not.
### 7. One-sixth Turn and One-third Turn
- Students observe more complex turns.
- Concepts of **one-third turn (120°)** and **one-sixth turn (60°)** are introduced.
- They identify and draw shapes that remain the same or change after these turns.
---
## New Terms and Definitions
| Term | Definition |
|------------------|----------------------------------------------------------------------------|
| Mirror halves | Two parts of a shape that are exactly the same when folded on a line |
| Symmetry | When one part of a shape is the same as another part in size and shape |
| Half turn | Rotating an object by 180 degrees |
| Quarter turn | Rotating an object by 90 degrees |
| One-third turn | Rotating an object by 120 degrees |
| One-sixth turn | Rotating an object by 60 degrees |
| Reflection | A mirror image of a shape |
| Pattern | A repeated decorative or symmetrical design |
---
## Practice Time
### 🟢 Easy (3 Questions)
1. **Which of these shapes are mirror halves?**
A square folded along the diagonal.
✅ **Answer**: Yes, both parts overlap exactly — they are mirror halves.
2. **Does the word 'NOON' look the same after a half turn?**
✅ **Answer**: Yes, 'NOON' looks the same when rotated 180°.
3. **Which number looks the same after a half turn: 6, 8, 9?**
✅ **Answer**: 8 — because it is symmetrical on rotation.
### 🟡 Medium (2 Questions)
4. **A windmill is turned by a quarter turn. Will it look the same?**
✅ **Answer**: Yes, if the blades are equally spaced and identical.
5. **Draw a shape that looks the same after a half turn.**
✅ **Answer**: A rectangle with same ends or a symmetric bow-tie shape.
### 🔴 Difficult (3 Questions)
6. **Can you identify if shape 10 (coloured asymmetric shape) is a mirror half?**
✅ **Answer**: No, due to different colours on each half, it's not symmetric.
7. **Find two letters that look the same after a half turn.**
✅ **Answer**: S, H — they remain visually similar after 180° rotation.
8. **Create a 3-digit number that looks the same after a half turn.**
✅ **Answer**: 101, 111 — both look the same when rotated 180°.
### 🔵 Very Difficult (2 Questions)
9. **Design a figure that looks the same after both quarter and half turn. Explain.**
✅ **Answer**: A circle with 4 identical arms (like a fan) — remains unchanged due to radial symmetry.
10. **If a shape looks same on 1/6 turn, will it look the same on 1/3 turn? Why?**
✅ **Answer**: Yes, because 1/3 turn = 2 × 1/6 turn. Symmetry at smaller rotation means it works for multiples.
---
## Overview
This chapter explores symmetry and patterns using colours, shapes, mirrors, and turning. Students learn to create their own symmetrical patterns and investigate how different shapes behave when turned or reflected. They explore mirror halves, half turns, quarter turns, and one-sixth turns through hands-on and visual activities.
## Key Topics Covered
### 1. Patterns from a Drop of Colour
- Students create a pattern by folding a paper, dropping colour in the centre, folding again, and pressing.
- On opening the fold, a pattern appears.
- The key concept: **Symmetrical patterns** — ones that can be split into **mirror halves**.
### 2. Understanding Mirror Halves
- A figure is divided into **mirror halves** if folding along a dotted line makes both sides overlap exactly.
- Not all symmetrical shapes have mirror symmetry due to differences in colour.
- Students observe shapes and decide which have mirror symmetry based on shape and colour.
### 3. Mirror Games
- Children place a mirror on a line to complete a figure.
- They also identify the correct placement of mirrors to recreate given shapes.
- These activities help students understand **reflection symmetry**.
### 4. Half Turn
- A story about a king and his locker is used to explain the concept of a **half turn**.
- Key idea: A shape may look the same or different after a half turn (rotation by 180°).
- The king marks his locker handle with a dot to avoid confusion.
### 5. Shapes and Words After Half Turn
- Students check which shapes or English letters look the same after half a turn:
- Examples: ZOOM, MOW, SWIMS, SIS, NOON.
- Numbers: 0, 1, 8 (look same); others may not.
### 6. Quarter Turn (One-fourth Turn)
- Activity: Make a paper windmill.
- Students explore how the windmill or fan looks after a **quarter turn** (rotation by 90°).
- Some shapes remain the same, others do not.
### 7. One-sixth Turn and One-third Turn
- Students observe more complex turns.
- Concepts of **one-third turn (120°)** and **one-sixth turn (60°)** are introduced.
- They identify and draw shapes that remain the same or change after these turns.
---
## New Terms and Definitions
| Term | Definition |
|------------------|----------------------------------------------------------------------------|
| Mirror halves | Two parts of a shape that are exactly the same when folded on a line |
| Symmetry | When one part of a shape is the same as another part in size and shape |
| Half turn | Rotating an object by 180 degrees |
| Quarter turn | Rotating an object by 90 degrees |
| One-third turn | Rotating an object by 120 degrees |
| One-sixth turn | Rotating an object by 60 degrees |
| Reflection | A mirror image of a shape |
| Pattern | A repeated decorative or symmetrical design |
---
## Practice Time
### 🟢 Easy (3 Questions)
1. **Which of these shapes are mirror halves?**
A square folded along the diagonal.
✅ **Answer**: Yes, both parts overlap exactly — they are mirror halves.
2. **Does the word 'NOON' look the same after a half turn?**
✅ **Answer**: Yes, 'NOON' looks the same when rotated 180°.
3. **Which number looks the same after a half turn: 6, 8, 9?**
✅ **Answer**: 8 — because it is symmetrical on rotation.
### 🟡 Medium (2 Questions)
4. **A windmill is turned by a quarter turn. Will it look the same?**
✅ **Answer**: Yes, if the blades are equally spaced and identical.
5. **Draw a shape that looks the same after a half turn.**
✅ **Answer**: A rectangle with same ends or a symmetric bow-tie shape.
### 🔴 Difficult (3 Questions)
6. **Can you identify if shape 10 (coloured asymmetric shape) is a mirror half?**
✅ **Answer**: No, due to different colours on each half, it's not symmetric.
7. **Find two letters that look the same after a half turn.**
✅ **Answer**: S, H — they remain visually similar after 180° rotation.
8. **Create a 3-digit number that looks the same after a half turn.**
✅ **Answer**: 101, 111 — both look the same when rotated 180°.
### 🔵 Very Difficult (2 Questions)
9. **Design a figure that looks the same after both quarter and half turn. Explain.**
✅ **Answer**: A circle with 4 identical arms (like a fan) — remains unchanged due to radial symmetry.
10. **If a shape looks same on 1/6 turn, will it look the same on 1/3 turn? Why?**
✅ **Answer**: Yes, because 1/3 turn = 2 × 1/6 turn. Symmetry at smaller rotation means it works for multiples.
---
Let’s Make Patterns from a Drop of Colour
Overview
This chapter explores symmetry and patterns using colours, shapes, mirrors, and turning. Students learn to create their own symmetrical patterns and investigate how different shapes behave when turned or reflected. They explore mirror halves, half turns, quarter turns, and one-sixth turns through hands-on and visual activities.
Key Topics Covered
1. Patterns from a Drop of Colour
- Students create a pattern by folding a paper, dropping colour in the centre, folding again, and pressing.
- On opening the fold, a pattern appears.
- The key concept: Symmetrical patterns — ones that can be split into mirror halves.
2. Understanding Mirror Halves
- A figure is divided into mirror halves if folding along a dotted line makes both sides overlap exactly.
- Not all symmetrical shapes have mirror symmetry due to differences in colour.
- Students observe shapes and decide which have mirror symmetry based on shape and colour.
3. Mirror Games
- Children place a mirror on a line to complete a figure.
- They also identify the correct placement of mirrors to recreate given shapes.
- These activities help students understand reflection symmetry.
4. Half Turn
- A story about a king and his locker is used to explain the concept of a half turn.
- Key idea: A shape may look the same or different after a half turn (rotation by 180°).
- The king marks his locker handle with a dot to avoid confusion.
5. Shapes and Words After Half Turn
- Students check which shapes or English letters look the same after half a turn:
- Examples: ZOOM, MOW, SWIMS, SIS, NOON.
- Numbers: 0, 1, 8 (look same); others may not.
6. Quarter Turn (One-fourth Turn)
- Activity: Make a paper windmill.
- Students explore how the windmill or fan looks after a quarter turn (rotation by 90°).
- Some shapes remain the same, others do not.
7. One-sixth Turn and One-third Turn
- Students observe more complex turns.
- Concepts of one-third turn (120°) and one-sixth turn (60°) are introduced.
- They identify and draw shapes that remain the same or change after these turns.
New Terms and Definitions
| Term | Definition |
|---|---|
| Mirror halves | Two parts of a shape that are exactly the same when folded on a line |
| Symmetry | When one part of a shape is the same as another part in size and shape |
| Half turn | Rotating an object by 180 degrees |
| Quarter turn | Rotating an object by 90 degrees |
| One-third turn | Rotating an object by 120 degrees |
| One-sixth turn | Rotating an object by 60 degrees |
| Reflection | A mirror image of a shape |
| Pattern | A repeated decorative or symmetrical design |
Practice Time
🟢 Easy (3 Questions)
-
Which of these shapes are mirror halves?
A square folded along the diagonal.
✅ Answer: Yes, both parts overlap exactly — they are mirror halves. -
Does the word 'NOON' look the same after a half turn?
✅ Answer: Yes, 'NOON' looks the same when rotated 180°. -
Which number looks the same after a half turn: 6, 8, 9?
✅ Answer: 8 — because it is symmetrical on rotation.
🟡 Medium (2 Questions)
-
A windmill is turned by a quarter turn. Will it look the same?
✅ Answer: Yes, if the blades are equally spaced and identical. -
Draw a shape that looks the same after a half turn.
✅ Answer: A rectangle with same ends or a symmetric bow-tie shape.
🔴 Difficult (3 Questions)
-
Can you identify if shape 10 (coloured asymmetric shape) is a mirror half?
✅ Answer: No, due to different colours on each half, it's not symmetric. -
Find two letters that look the same after a half turn.
✅ Answer: S, H — they remain visually similar after 180° rotation. -
Create a 3-digit number that looks the same after a half turn.
✅ Answer: 101, 111 — both look the same when rotated 180°.
🔵 Very Difficult (2 Questions)
-
Design a figure that looks the same after both quarter and half turn. Explain.
✅ Answer: A circle with 4 identical arms (like a fan) — remains unchanged due to radial symmetry. -
If a shape looks same on 1/6 turn, will it look the same on 1/3 turn? Why?
✅ Answer: Yes, because 1/3 turn = 2 × 1/6 turn. Symmetry at smaller rotation means it works for multiples.