📊 Part 1: Creating Tables from Patterns

Pattern 1: 1 triangle

Pattern 2: 3 triangles arranged in a triangle

Pattern 3: 6 triangles arranged in a larger triangle

Pattern 4: 10 triangles arranged in an even larger triangle

Complete the table below:

Pattern 1: 4 dots (corners of 1 square)

Pattern 2: 8 dots (corners of 2 squares)

Pattern 3: 12 dots (corners of 3 squares)

Create a table showing the pattern number and total dots for the first 6 patterns:

🔍 Part 2: Describing Patterns with Multiplication

Instead of saying "add 5 each time", describe this pattern using multiplication:

Describe this pattern using multiplication language:

This pattern shows the _______ times table, which means each term is _______ multiplied by _______.

🧮 Part 3: Writing Algebraic Rules

Position (n): 1, 2, 3, 4, 5

Value: 8, 16, 24, 32, 40

Write the rule that connects the position number to its value:

Rule: Value = _______ × n

Choose a times table (3, 4, 6, 7, 8, or 9) and create a table showing 5 positions:

My rule is: Value = _______ × n

Show your working: