Day 11 of 30
Measures of spread: range
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Learning Objective
Students will explore measures of spread and range through guided practice and application.
This lesson focuses on measures of spread: range. Mathematics provides tools for modeling and analyzing complex systems.
The domain of a function is the set of all possible input values (x-values). The range is the set of all possible output values (y-values). For example, f(x) = √x has domain [0, ∞) because you can't take the square root of negatives, and range [0, ∞) because square roots are non-negative. To find domain: look for restrictions (division by zero, square roots of negatives, etc.). To find range: see what outputs are actually produced. Domain and range describe what a function can and does output!
As you engage with this material, consider both the theoretical foundations and practical applications. Think critically about how this concept builds on prior knowledge and where you might apply it beyond the classroom.
Challenge yourself to go beyond memorization—seek to understand the "why" behind the processes and principles.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
What is the domain of {(1,2), (3,4), (5,6)}?
What is the range of {(1,2), (3,4), (5,6)}?
What is the domain of f(x) = √x?
Teaching Tip
For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply measures of spread: range to novel situations.