One more - up to 10

What you'll learn

• Solve optimization problems involving quadratic functions to determine the dimensions that maximize or minimize area or volume, given constraints such as fixed perimeter or surface area, with at least 80% accuracy on a formative assessment.
• Explain the relationship between the vertex of a quadratic function and the maximum or minimum value in the context of area and volume optimization problems, justifying their reasoning with mathematical vocabulary in a short written response that demonstrates understanding of the concept.
• Apply algebraic techniques, including completing the square or using the quadratic formula, to find the maximum or minimum value of area or volume functions represented by quadratic expressions, demonstrating the steps accurately in at least 3 out of 4 practice problems.
• Identify real-world scenarios where maximizing or minimizing area or volume is a relevant problem, providing at least two distinct examples with a brief explanation of the quantities to be optimized.