📊 Part 1: Identifying Linear Patterns

What is the constant difference? ____

Complete the table:

Term number (n): 1, 2, 3, 4, 5

Term value: 12, ___, ___, ___, ___

The equation for this pattern is: ________________

✏️ Part 2: Real-World Equation Formulation

Let w = number of weeks

Write an equation for her total savings: S = ________________

How much will she have after 6 weeks? $______

Let m = number of months

Write an equation for the plant's height: H = ________________

Write an equation for the total steps climbed after t minutes:

Steps = ________________

Explain your reasoning:

Write an equation for the water remaining after h hours:

Water = ________________

When will the tank be empty? Show your working:

🎯 Part 3: Pattern Creation and Reflection

Pattern: 7, ___, ___, ___, ___

Equation: ________________

If a tukutuku panel uses 4 triangles in row 1, 7 triangles in row 2, and 10 triangles in row 3...

Write an equation for the number of triangles in row n: ________________

How many triangles would be in row 8? ______