📊 Part 1: Identifying Quadratic Patterns

a) What is the next term? ________

b) What is the rule for the nth term? ________________

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

Term value: 3, 12, 27, 48, ____

The rule is: n² × ____ = ________

🔧 Part 2: Solving Quadratic Equations by Factorisation

Solutions: x = _______ or x = _______

Factorised form: (x - ____)(x - ____) = 0

Solutions: x = _______ or x = _______

📈 Part 3: Quadratic Graphs and Key Features

Mark and label: vertex, x-intercepts, y-intercept, axis of symmetry

a) X-intercepts: x = _______ and x = _______

b) Axis of symmetry: x = _______

c) Y-intercept: y = _______

d) Does the parabola open upwards or downwards? ________________

🌍 Part 4: Real-World Applications

h = -5t² + 20t + 2

a) What is the initial height of the ball? _______ metres

b) When does the ball hit the ground? (Solve -5t² + 20t + 2 = 0)

c) What does the vertex of this parabola represent in real life?

Let width = w metres, then length = _______ metres

Area equation: w × (w + 3) = 40

Expanded: w² + 3w - 40 = 0

Width = _______ metres, Length = _______ metres

🎯 Part 5: Extension and Reflection