View the curricular competencies here: Calculus 12
HOW WILL YOU BE GRADED
First Assignment (Review of PC 12) ……………………………………..5%
Review Assignments and Video Lesson Notes ………………………..5%
Quizzes …………………………………………… 5%
Unit Tests………………………………………. 10%
Final Project ………………………………………….. 5%
Midterm – Supervised In-Person Exam …..…………….….30%
Final Exam – Supervised In-Person Exam ……………….…40%
Required Resources: a computer with internet access and headphones/speakers in addition to a scientific calculator. GRAPHING CALCULATORS ARE NOT PERMITTED TO BE USED DURING EXAMS.
Units:
Chapter 1: Precalculus 12 Review
· Lesson 1 – Introduction to Calculus
· Lesson 2 – Review of Functions
· Lesson 3 – Graphing Calculators
· Lesson 4 – Composition
· Lesson 5 – Some Common Functions
· Lesson 6 – Inverse Functions
· Lesson 7 – Exponential & Logarithmic Functions
Chapter 2: Limits and Continuity
· Lesson 1 – Introduction to Limits
· Lesson 2 – Properties of Limits
· Lesson 3 – Limits Involving Infinity
· Lesson 4 – Continuity
· Lesson 5 – Applications of Limits
Chapter 3: Differentiation
· Lesson 1 – Introduction to Limits
· Lesson 2 – Properties of Limits
· Lesson 3 – Limits Involving Infinity
· Lesson 4 – Continuity
· Lesson 5 – Applications of Limits
Chapter 4: Applications of the derivative
· Lesson 1: Analyzing Functions Part I: Curve Sketching
· Lesson 2: Analyzing Functions Part II: Maximums and Minimums
· Lesson 3: Applied Maximum and Minimum Problems
· Lesson 4: Distance, Velocity, Acceleration and Rectilinear Motion
· Lesson 5: Related Rates
· Lesson 6: The Mean-Value Theorem
Chapter 5: Integration
· Lesson 1: Area Approximation and Riemann Sums
· Lesson 2: Introduction to the Definite Integral
· Lesson 3: The Fundamental Theorem of Calculus
· Lesson 4: Integrals and Antiderivatives
· Lesson 5: Integration by Substitution
· Lesson 6: The Definite Integral
Chapter 6: Applications of Integrals
· Lesson 1: Finding the Area Under and Between Curves
· Lesson 2: Volume by Discs (Slicing)
· Lesson 3: Volume by Shells
· Lesson 4: Work
· Lesson 5: Average Value of a Function and Rectilinear Motion Revisited
Chapter 7: Differential Equations and More Reimann Sums
· Lesson 1: Differential Equations – An Introduction
· Lesson 2: Initial Value Problems, Slope Fields, and Euler’s Method
· Lesson 3: Linearization and Newton’s Method
· Lesson 4: Numerical Approximation Methods with Integrals
Chapter 8: Supplemental Topics (No unit test)
· Lesson 1: Exploring the Graphs of f, f’
· Lesson 2: Relative Rates of Growth
· Lesson 3: Using Calculus With Data in a Table
· Lesson 4: Functions Defined By Integrals
Assessments
· Each unit has the following assessments
o Quizzes ( 1 or 2 per unit) done online in Brightspace
o Unit Test ( multiple choice/short answer with required written work upload) done online in Brightspace
o Video Notes and Review Assignment Submission – scan and submit into Brightspace drop box
· Midterm and Final Exam – in person supervised exams
· Final Project – submission in Brightspace drop box
BC Performance Standards