Measurement Problem-Solving Worksheet

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📚 Learning Intentions

🎯 We Are Learning To solve measurement problems involving perimeter, area, volume, and capacity

Success Criteria:

✓ I can calculate perimeter and area of rectangles and triangles
✓ I can find the volume of rectangular prisms and cylinders
✓ I can apply measurement formulas to solve real-world problems
✓ I can convert between different units of measurement
✓ I can demonstrate precision in measurement

📐 Part 1: Foundation Problems

1. Hinge Point Question: A rectangular garden bed is 8 metres long and 5 metres wide. What is its perimeter?

13 metres

26 metres

40 metres

80 metres

2. The same garden bed from Question 1 needs to be covered with mulch. What area needs to be covered?

3. Thinking Key - Different Uses: A rectangular swimming pool is 25m long, 10m wide, and 2m deep. Calculate its volume and list three different ways this measurement could be useful.

4. Precision Check: Measure the length and width of your desk in centimeters. What is the total area of your desk?

🔍 Part 2: Problem-Solving Challenges

5. Differentiated Task: Choose your challenge level:

Foundation: Find the area of a triangle with base 6cm and height 4cm

Standard: A triangular sail has an area of 24m². If the base is 8m, what is the height?

Extension: Design a triangular garden with area 30m² where the height is twice the base length

6. Real-World Application: Sarah is painting a bedroom wall that is 4m wide and 3m high. The wall has a window that is 1.5m wide and 1.2m high. How much wall area needs to be painted?

7. Volume Challenge: A box is 3m long, 2m wide, and 1.5m high. Calculate its volume. If you want to fill it with water, how many liters will it hold? (Hint: 1m³ = 1000L)

8. Unit Conversion: Convert the volume of the box from Question 7 into liters. How many liters are in 2.5m³?

9. Thinking Key - What If: What if you needed to find the volume of an L-shaped swimming pool? Describe your strategy without calculating.

🚀 Extension & Exit Ticket

10. Extension Challenge: A cylindrical water tank has a radius of 3m and height of 5m. Research the formula for cylinder volume and calculate how many litres it can hold. (Hint: 1m³ = 1000L)

11. Exit Ticket: Rate your confidence (1-5) and explain one measurement concept you found challenging today:

Confidence level: ___/5

12. Reflection: How could you use these measurement skills outside of maths class?