CourseCourseQ BankQuestion BankDocsDocuments

1.1 Introducing Calculus: Can Change Occur at an Instant?

Syllabus
2020
Topic
1.1
Level
—

Learning objectives

—CHA-1.A—Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant• CHA-1.A Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.• CHA-1.A.1 Calculus uses limits to understand and model dynamic change.• CHA-1.A.2 Because an average rate of change divides the change in one variable by the change in another, the average rate of change is undefined at a point where the change in the independent variable would be zero.• CHA-1.A.3 The limit concept allows us to define instantaneous rate of change in terms of average rates of change.• Enduring understanding CHA-1: Calculus allows us to generalize knowledge about motion to diverse problems involving change.

CHA-1.A—Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant

  • CHA-1.A Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.
  • CHA-1.A.1 Calculus uses limits to understand and model dynamic change.
  • CHA-1.A.2 Because an average rate of change divides the change in one variable by the change in another, the average rate of change is undefined at a point where the change in the independent variable would be zero.
  • CHA-1.A.3 The limit concept allows us to define instantaneous rate of change in terms of average rates of change.
  • Enduring understanding CHA-1: Calculus allows us to generalize knowledge about motion to diverse problems involving change.