Standard 1: Slope fields, exponential growth/decay, and separation of variables
Objective: Upon completion of this lesson, students should be able to:
Lesson Questions:
Lesson Notes: 6.1 Slope Field Notes
6.2 Exponential Growth/Decay Notes
6.3 Separation of Variables Notes
Lesson Videos: 6.1 Slope Field Video
6.2 Exponential Growth/Decay Video
6.3 Separation of Variables Video
Homework Practice: Slope Field Practice
Separation of Variables p. 429# 1-15 odd
Expo. Growth/Decay p. 418# 1-9 all, 11-15 odd, 21-27 odd, 37, 39, 62
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.
Objective: Upon completion of this lesson, students should be able to:
- Draw a slope field and use it to draw a particular solution given an initial condition.
- Integrate implicit functions by separation of variables and find particular solutions.
- Find growth and decay models given rate equations and/or two coordinates of the model.
Lesson Questions:
- What does a slope field represent?
- Show that an exponential model occurs when the rate of change of one variable is proportional to itself.
Lesson Notes: 6.1 Slope Field Notes
6.2 Exponential Growth/Decay Notes
6.3 Separation of Variables Notes
Lesson Videos: 6.1 Slope Field Video
6.2 Exponential Growth/Decay Video
6.3 Separation of Variables Video
Homework Practice: Slope Field Practice
Separation of Variables p. 429# 1-15 odd
Expo. Growth/Decay p. 418# 1-9 all, 11-15 odd, 21-27 odd, 37, 39, 62
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.