This page contains links to lesson plans, lesson notes, videos, active learning activities, and practice problems for Calculus II.
This page is a work-in-progress, as I am currently updating my notes and active learning for this course. Check back often, as this page will be updated throughout the semester.
This section includes recent syllabi, the SBG course standards and rubric, and advice for Calculus II students from my former Calculus II students. The course standards have been edited for Spring 2020 to reflect recent changes in the TCC core content for Calculus II.
The reference sheets are linked below. Students will be permitted to use the reference sheets for trigonometric integrals, trigonometric substitution, sequences, and series on quizzes and unit exams. The other reference sheets are provided for quick reference and review.
The sections below include lesson plans, lesson notes, and active learning activities for each unit. If you scroll down beyond the notes, you'll see an embedded YouTube playlist for this course.
This content is being updated for the Summer 2020 semester. Check back often.
Lesson plans and detailed lesson notes covering advanced antidifferentiation techniques are linked below. The lesson plans are those used in my online course. The detailed lesson notes are a typed version of my lecture, and are provided as a detailed, in-depth supplement to the videos.
The lesson plans are for the online course and describe online homework.
In the face-to-face course, the students complete paper-based homework, rather than online homework.
This material is covered in Unit 1 in my course at TCC. U1 L1 is an abbreviation for Unit 1 Lesson 1.
The files linked here include active learning activities and practice problems for advanced antidifferentiation techniques. Active learning just refers to an instructional method or activity intended to engage students in the learning process and get them to think about and interact with the material. Note that the Trigonometric Substitution Practice Problems PowerPoint needs to be viewed in PowerPoint. If you're unable to view the file because you don't have access to MS Office, let me know, and we'll find a way to get the pdf to you.
Each activity or problem set includes full solutions, either in the original file or in a supplemental file.
These are the lesson plans I've recently created for my online course.
The detailed lesson notes can be found in the following section.
These detailed lesson notes are basically typed versions of my lecture. They include everything that I typically tell my students in a face-to-face course over this material, in a typed form that independent learners can read at home. These are the notes provided to my online students. I wanted my notes to be available for anyone who wants to learn math at home. In these notes, I add little details about algebra, trigonometry, and the calculus I prerequisites that my students tend to forget. I include those reminders throughout the notes to help my students succeed,
These are practice problems that we solve in teams or at the board in my face-to-face class. For the online section, I envision students attempting the problems, and that moving forward through the slides to check their work, or help them with next steps when they get stuck.
These documents are created in PowerPoint. The problem appears on the slide. In the following slides, students can see the full solution.
The lesson plans below are used in my online course. Each has the same general outline, with different learning outcomes.
The lesson notes are posted in the section below this one.
This section contains detailed lesson notes, and reference sheets.
Students may use the reference sheets (but not the lesson notes(!))
for sequences and series during their related quizzes and exams.
This section contains practice problems with solutions.
These are videos that I've created to go with the content of our course. I just started creating these over the break, so they are a work-in-progress. If you have questions that aren't answered in the notes or videos, please don't hesitate to reach out.
Students in my online calculus II course take paper-based exams, typically in a proctored testing center. The first two exams shown here were taken in a proctored setting. Due to COVID-19, Exam 3 and the Comprehensive Final were taken over a weekend as open notes, open book take home exams. Students had 48 hours to complete each non-proctored exam.
The keys to the exams administered during the Spring 2020 semester are shown below.
My students are encouraged to use the keys to get familiar with the format. I want my students to know in advance exactly what's expected of them and what A-level work looks like. In face-to-face sections, students are assessed over the same material in weekly quizzes rather than Unit exams. My students know that their questions and problems will be different, while the exams tend to have the same format from semester to semester. More practice problems of each type can be found in the practice problems and learning activities for the associated lessons.
In the face-to-face section of this course, I use standards based grading, a mastery-based assessment and teaching system that uses quizzes rather than tests, and breaks the content of the course into a list of approximately 30 standards. In our course, Unit 1, Unit 2, and Unit 3 are covered in 6-10 quizzes each semester. Unit 4 is assessed through take-home quizzes. The keys to Fall 2019 in-class quizzes are linked below.
My students are encouraged to use the keys to get familiar with the format of the quizzes and what I am expecting. It's important for the students to know what A-level work looks like. In the online section of the course, the same units and lessons are taught, but the material is assessed in three unit exams and a comprehensive final.
My students know that their questions and problems will be different, while the quizzes tend to have the same format from semester to semester. These keys help my students to know exactly what is expected of them.