🗺️ Chapter 8 – Mapping Your Way
Subject: Mathematics
Main Concepts: Maps, Directions, Scale, Distance, Area, Grids
📘 Introduction
A map is a drawing of a place seen from above. Maps help us understand:
- Where places are
- How far they are
- In which direction they lie
🏛️ India Gate and Rajpath (Real-Life Map Reading)
Ashi and her friends are sitting near India Gate during the Republic Day parade. They see roads like Rajpath, Janpath, and nearby buildings such as Rashtrapati Bhawan.
🧭 Directions on a Map
Every map has four main directions:
| Direction | Meaning |
|---|---|
| North (N) | Upwards on the map |
| South (S) | Downwards on the map |
| East (E) | Right side of the map |
| West (W) | Left side of the map |
📐 Angles between Roads
When two roads cross each other, they form an angle.
🔷 Central Hexagon
Some parts of Delhi have a special shape called a hexagon.
- $6$ sides
- $6$ corners
📏 What is Scale?
A map cannot show real distances exactly. So we use a scale.
This means:
📍 Measuring Distance Using Scale
If the distance between two places on the map is $4$ cm and the scale is:
Then actual distance:
🧮 Fractions & Ratios in Scale
Scale is a ratio.
🏰 Trip to Red Fort (Following a Route)
Inside the Red Fort, places like:
- Lahori Gate
- Meena Bazar
- Diwan-e-Aam
- Diwan-e-Khaas
are shown on a map to help visitors move easily.
🔍 Nearest & Farthest Places
Using maps, we can find:
- Which place is nearer
- Which place is farther
📐 Make It Bigger, Make It Smaller
Pictures and maps can be enlarged or reduced using grids.
- Side becomes $2$ times
- Area becomes $2^2 = 4$ times
🏫 Ashi’s School Map (Area & Position)
The school is shown using a square grid. Each square represents a fixed area.
📏 Area Comparison
If the assembly ground covers $40$ squares and the office covers $10$ squares:
🧠 Distances Between Towns
Maps also help us estimate distances between towns.
✍️ Practice Questions
2) What are the four main directions?
3) If $2$ cm on map = $1$ km, what distance does $6$ cm show?
4) A square side is doubled. How many times does its area increase?
5) Which direction is east on a map?
✅ Quick Revision
✔ Directions help locate places
✔ Scale connects map distance to real distance
✔ Area depends on square of the side
✔ Grids help compare area easily
🎉 Chapter Complete
After studying this chapter, students can confidently read maps, use scale, measure distance, find directions, and compare areas.
📝 Complete Worksheet – Mapping Your Way
Chapter: Mapping Your Way
Main Topics: Maps, Directions, Scale, Distance, Area, Grids 🎯
Section A – Multiple Choice Questions (MCQs)
Q1. A map shows a place as seen from:
Q2. On most maps, which direction is shown at the top?
Q3. If the scale is $2$ cm = $1$ km, then $6$ cm represents:
Q4. When two roads meet at $90^\circ$, they form:
✔ Q2 → (d) North
✔ Q3 → (b) $3$ km
✔ Q4 → (c) a right angle
Section B – Fill in the Blanks
2) The four main directions are North, South, East and __________.
3) Scale shows the relationship between __________ distance and __________ distance.
4) If the side of a square becomes $2$ times, its area becomes __________ times.
✔ West
✔ map, real
✔ $2^2 = 4$
Section C – Very Short Answer Questions
1) What is a map?
2) Name any two main directions.
3) What does scale tell us?
✔ North and South (any two)
✔ It tells the relation between map distance and real distance.
Section D – Short Answer Questions
Q1. What is meant by scale on a map?
Q2. If $1$ cm on a map shows $\dfrac{1}{2}$ km, what distance does $4$ cm show?
Q3. Why are grids useful on maps?
✔ $4$ cm = $2$ km
✔ Grids help locate places and compare area easily.
Section E – Long Answer Questions
Q1. Explain how directions help us while reading a map.
Q2. A playground covers $24$ squares and a classroom covers $6$ squares on a grid map. How many times bigger is the playground?
✔ $\dfrac{24}{6} = 4$ times
Section F – HOTS / Thinking Questions ⭐
Q1. If the side of a square map becomes $3$ times, how many times does its area increase?
Q2. A map scale is $1$ cm = $10$ km. What real distance is shown by $7$ cm?
✔ $7 \\times 10 = 70$ km
🎯 Worksheet Complete
✔ Practice scale-based questions
✔ Understand area using grids
✔ You are now **exam-ready** ✅