IB MYP Math investigationtask Rationalize the Denominator

Objective: Students will investigate to apply rationalizing the denominator in a real-life context related to the energy consumption of light bulbs.

Real-Life Scenario: A homeowner is trying to calculate the total cost of illuminating their house with energy-efficient light bulbs. The price
of each bulb is based on a square root value in a foreign currency, so they need to rationalize the denominator to make comparisons in their home currency.

Key Concepts
Relationships: Exploring the relationships between mathematical expressions and their real-world implications, such as how energy costs relate to efficiency.

Related Concepts

Simplification: Understanding how simplification techniques, like rationalizing the denominator, make complex mathematical expressions more usable in practical applications.

Modeling: Using mathematical models to represent and analyze real-world scenarios, like calculating energy
costs.

Global Context
Scientific and Technical Innovation: The task explores how mathematical concepts, like rationalizing the denominator, can support innovations in energy efficiency and cost-saving strategies by making calculations more accessible and actionable.

Statement of Inquiry

Simplifying mathematical models allows us to make better predictions and understand relationships in realworld contexts, such as the relationship between energy consumption, efficiency, and cost.