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Composite Shape Perimeter Investigation

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Composite Shape Perimeter Investigation

Composite shapes made from rectangles and triangles

🎯 WALT & Success Criteria

We Are Learning To: Find the perimeter of composite shapes by decomposing them into simpler shapes.

Success Criteria - Tick when you can do this:

I can identify simple shapes within a composite shape

I can add the lengths of all sides correctly to find the perimeter

I use conversion knowledge to ensure all side lengths are in the same units

📐 Part 1: Shape Analysis

1. Look at the composite shape below (made from 2 rectangles). What simple shapes can you identify?
2. Circle the correct approach for finding perimeter of composite shapes:

Add up areas of each simple shape

Add up all the outside edge lengths

Multiply length by width

Count only the longest sides

3. Before calculating perimeter, what must you check about the measurements?

🧮 Part 2: Perimeter Investigation

4. Convert these measurements to centimetres:

a) 45 mm = _______ cm

b) 120 mm = _______ cm

c) 8.5 cm = _______ cm (already converted!)

5. Calculate the perimeter of this L-shaped composite figure:

Given measurements: Top edge: 80 mm, Right edge: 6 cm, Bottom right: 30 mm, Inner vertical: 25 mm, Inner horizontal: 50 mm, Left edge: 8.5 cm

Step 1: Convert all measurements to the same unit (cm):

Step 2: Add all outside edge lengths:

Final Answer: Perimeter = _______ cm

6. Peer Review Checklist - Exchange with a partner:

All measurements converted to same unit

All outside edges included in calculation

Addition is correct

Final answer includes correct unit

7. Extension Challenge: Create your own composite shape problem using mixed units (mm and cm). Draw and solve it:

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