Math 31 – Unit #4, applications of Derivatives Start Page
Unit 4 focuses on the using derivatives to solve many different types of problems.
Each section below will have several instructional videos for each part, including examples and their solutions. After all parts are completed within a section, there will be a set of questions to be done and handed in. After all sections are completed, there will be a single summative assessment (unit exam) covering all material from this unit.
Unit Sections
Unit 4 - APPLICATIONS OF DERIVATIVES
a) Maximum and Minimum Problems i. Number Problems ⇒ Teaching Video with Embedded Questions ii. Geometric Problems ⇒ Teaching Video with Embedded Questions iii. Graphical Problems ⇒ Teaching Video with Embedded Questions
There will be example questions within each video which students will be asked to do and then they will be walked through the solutions together. After the subsection is done there will be a SINGLE FORMATIVE ASSESSMENT that students will complete and then submit. A walkthrough solutions video will then be given to the students to self assess their work. Upon completion of the formative assessments, there will be a summative assessment for the entire section.
b) Applications to Physics i. Distance and Time max/min problems ⇒ Teaching Video with Embedded Questions ii. Velocity ⇒ Teaching Video with Embedded Questions iii. Acceleration ⇒ Teaching Video with Embedded Questions
There will be example questions within each video which students will be asked to do and then they will be walked through the solutions together. After the subsection is done there will be a SINGLE FORMATIVE ASSESSMENT that students will complete and then submit. A walkthrough solutions video will then be given to the students to self assess their work. Upon completion of the formative assessments, there will be a summative assessment for the entire section.
c) Derivatives with Respect to Time i. Rates of Change ⇒ Teaching Video with Embedded Questions ii. Related Rates ⇒ Teaching Video with Embedded Questions iii. Related Motion ⇒ Teaching Video with Embedded Questions iv. The Lollipop Lab ⇒ Teaching Video with Embedded Questions
There will be example questions within each video which students will be asked to do and then they will be walked through the solutions together. After the subsection is done there will be a SINGLE FORMATIVE ASSESSMENT that students will complete and then submit. A walkthrough solutions video will then be given to the students to self assess their work. Upon completion of the formative assessments, there will be a summative assessment for the entire section. d)APPLICATIONS FINAL SUMMATIVE ASSESSMENT -
The Applications Unit will have 4 summative assessments. Three smaller assignments and 1 unit exam. These assessments will represent the entire grade for the Applications unit of this Math 31 course.
Once a student reaches the point in the Unit where the summative assessments are posted, they should be completed before the next sections are attempted.
Once all formative and minor summative assessments are completed, students will write the unit Summative assessment at a supervised site.
Students will have the opportunity to rewrite this Summative Assessment at any time BUT through instructor consultation and guidance, students will have to demonstrate evidence of new learning and preparedness.