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In this cooperative learning activity, students are presented with a real-world problem: Given a mirror and laser pointer, determine the position where one should stand so that a reflected light image will hit a designated target. This investigation allows students to develop several rational functions that models three specific forms of a rational function. Students explore the relationship between the graph, the equation, and problem context. Illuminations provides an activity sheet, carousel cards, and detailed instructions for completing the lesson.

Students will:

• State the domain, range and end behavior of rational functions.
• Write rational functions that model problem situations.
• Use rational functions to solve problems.

NCTM Standards and Expectations:

• Generalize patterns using explicitly defined and recursively defined functions.
• Draw reasonable conclusions about a situation being modeled.
• Use symbolic algebra to represent and explain mathematical relationships.

North Carolina Curriculum Alignment