🧭 Week 1: Basic Direction and Navigation

1. Circle the correct compass direction:

If you are facing north and turn 90° clockwise, which direction are you now facing?

North

East

South

West

2. Draw a simple map showing the path from your classroom to the library. Include at least 3 landmarks:

3. Fill in the missing directions:

Starting at the school gate, walk _______ for 50 metres, then turn _______ and walk 30 metres to reach the sports field. The canteen is _______ of the sports field.

4. Check all the items that would help you navigate outdoors:

Compass

Map

GPS device

Sandwich

Landmarks

Sun position

📐 Week 1: Angles and Rotation

5. Calculate the angle of rotation:

A robot starts facing north. It needs to face southeast. How many degrees must it rotate clockwise?

6. Match the rotation with the correct angle:

1. Quarter turn

2. Half turn

3. Three-quarter turn

4. Full turn

A. 360°

B. 90°

C. 270°

D. 180°

7. Draw the position of the arrow after each rotation from the starting position (facing up):

a) 45° clockwise b) 135° anticlockwise c) 270° clockwise

🗺️ Week 2: Grid References and Coordinates

8. What is the grid reference for point A on a map if it's located 3 squares east and 5 squares north from the origin?

9. Circle the correct coordinate system used in New Zealand:

Latitude and Longitude

New Zealand Map Grid (NZMG)

New Zealand Transverse Mercator (NZTM)

All of the above

10. Plot these coordinates on a grid and connect them to form a shape:

(2,1), (5,1), (5,4), (2,4), back to (2,1)

11. A treasure is buried at grid reference 347521. The first three digits represent _______ and the last three digits represent _______.

12. Calculate the distance between two points:

Point A is at (2,3) and Point B is at (6,6). What is the straight-line distance between them? (Show your working)

🛤️ Week 2: Route Planning and Pathfinding

13. Check all factors you should consider when planning a walking route:

Distance

Terrain difficulty

Weather conditions

Available pathways

Safety considerations

Time available

14. Design the most efficient route for a delivery driver who needs to visit 5 houses and return to the depot. Draw your route:

15. Explain why the shortest distance between two points isn't always the best route:

16. A hiker wants to climb a mountain that is 8 kilometres away in a straight line, but the terrain is too steep. The winding path is 12 kilometres long. Calculate the extra distance:

🌐 Week 3: Advanced Spatial Concepts

17. Match the navigation method with its description:

1. Dead reckoning

2. Triangulation

3. GPS

4. Celestial navigation

A. Using satellites for positioning

B. Using stars and sun for direction

C. Using known landmarks to find position

D. Calculating position from speed and direction

18. Circle the most accurate method for measuring large distances:

Pacing (counting steps)

GPS measurement

Estimating by eye

Using a car odometer

19. A plane flies from Auckland to Wellington. If Auckland is at approximately 37°S, 175°E and Wellington is at 41°S, 175°E, in which direction does the plane travel?

20. Design a spatial reasoning puzzle for a younger student. Include a map, starting point, destination, and at least 3 clues:

🎯 Week 3: Problem Solving and Applications

21. A search and rescue team needs to cover a 10km × 10km area. If each team member can effectively search a 2km × 2km area, how many team members are needed?

22. Explain how spatial reasoning skills are used in these careers:

a) Architect: ________________________________

b) Pilot: ____________________________________

c) Surveyor: _________________________________

d) Video game designer: _______________________

23. Check all the technologies that use spatial reasoning and pathfinding:

Satellite navigation systems

Autonomous vehicles

Delivery drones

Video game AI

Robot vacuum cleaners

Weather forecasting