Activity Overview
Students will explore the definition of a function through use of a graph, a set of ordered pairs, and an input-output diagram.
Objectives
- Students will explore the definition of a function and how it can be represented using a graph, a table, and an equation.
- Students will be asked to create their own functions given input/output values and discuss how they discovered these functions.
- Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments.
Vocabulary
- Ordered Pairs
- Vertical Line Test
- Domain
- Input/Output
- Model
- Range
About the Lesson
This activity gives students an opportunity to explore the definition of a function graphically, with a set of ordered pairs, and by using equations to apply function models to real world situations. These models dynamically allow students to discover the function by experimenting with input values that produce the desired output. Function notation will also be reinforced.