Math 31 – Unit #7 Exponents and Logarithms Start Page
Unit 7 discusses the derivatives of exponential and logarithmic functions. These derivatives can be used to solve a variety of problems like population growth, elemental decay and compound interest.
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
a) Pre-Calculus Exponents and Logs i. Exponent and Log Laws ⇒ Teaching Video with Embedded Questions ii. Base e and the Natural Logarithm ⇒ 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.
b) Derivatives of Exponential Functions with base e i. Limits of Exponential Functions ⇒ Teaching Video with Embedded Questions ii. Derivatives of base e Exponential Functions ⇒ 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.
c) Derivatives of Logarithmic Functions i. Limits of Logarithmic Functions ⇒ Teaching Video with Embedded Questions ii. Derivatives of Natural Logarithmic Functions ⇒ Teaching Video with Embedded Questions iii. Derivatives of other Exponential and Log Functions ⇒ Teaching Video with Embedded Questions iv. Logarithmic Differentiation ⇒ 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 i. Exponential Growth and Decay ⇒ Teaching Video with Embedded Questions ii. Compound Interest ⇒ 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.
e)EXPONENTS AND LOGARITHMS FINAL SUMMATIVE ASSESSMENT
The Exponents and Logarithms Unit will have 3 summative assessments. Two smaller assignments and 1 unit exam. These assessments will represent the entire grade for the Exponents and Logarithms unit of the 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.