The Common Core State Standards recommend that a significant part of students’ experiences in both geometry and measurement include activities that lead students to consider the relationships between measurable attributes of geometric figures and the generalization of these attributes as formulas and rules.
Reflect on the course text readings for this week, as well as the online resources you explored, as they relate to area and perimeter. In this Discussion, you will complete a task in which you use a mathematical model to help to make sense of a geometric formula.
Class Activity 12J: Finding and Explaining a Trapezoid Area Formula (Page CA–282) Trapezoids
• As you complete the task, consider how the mathematical model(s) provides a visual means with which to generate the geometric formula.
• Reflect on the misconceptions that may arise if students were to complete the same task.
Post an explanation of how the mathematical model(s) helped you generate the geometric formula highlighted in your assigned task. Describe the misconceptions that may arise if students were to complete this activity.
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