This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Here is the solution to Question 3:
3.1 Create your own growing geometric pattern. Draw it up to Stage 4.
3.2 Describe how your pattern grows.
The pattern grows by forming a larger square at each stage. The side length of the square increases by one unit at each subsequent stage. For example, Stage 1 is a square, Stage 2 is a square, and so on.
3.3 Complete a table showing Stage number and number of shapes.
| Stage Number (n) | Number of Shapes | | :--------------- | :--------------- | | 1 | 1 | | 2 | 4 | | 3 | 9 | | 4 | 16 |
3.4 Write a rule for your pattern in words.
The number of shapes at any given stage is the square of the stage number.
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3.1 Create your own growing geometric pattern. Draw it up to Stage 4.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.