Calculus 12 Outline

Unit 1 – Precalculus 12 Review (This is covered in your first assignment)

  • 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

Unit 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
Assignments and tests How to submit
Quiz 1 – Lessons 1, 2 and 3 Open link on Canvas
Quiz 2 – Lessons 4 and 5 Open link on Canvas
Chapter 2 Video Notes and Review Assignment Scan and submit into Canvas dropbox
Chapter 2 Test Multiple choice done directly on Canvas

Upload written page

**Read instructions on Canvas**

Unit 3 – Differentiation

  • Lesson 1: The Derivative
  • Lesson 2: Rules of Differentiation
  • Lesson 3: Trigonometric Derivatives and The Chain Rule
  • Lesson 4: Derivatives of Exponential, Logarithmic, and Inverse Trig Functions
  • Lesson 5: Implicit Differentiation
Assignments and tests How to submit
Quiz 1 – Lessons 1 and 2 Open link on Canvas
Quiz 2 – Lessons 3, 4 and 5 Open link on Canvas
Chapter 3 Video Notes and Review Assignment Scan and submit into Canvas dropbox
Chapter 3 Test i) Multiple choice done directly on Canvas

ii) Upload written page

**Read instructions on Canvas**

Unit 4 – Applications of Derivatives

  • 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
Assignments and tests How to submit
Quiz 1 – Lessons 1, 2 and 3 Open link on Canvas
Quiz 2 – Lessons 4, 5 and 6 Open link on Canvas
Chapter 4 Video Notes and Review Assignment Scan and submit into Canvas dropbox
Chapter 4 Test Multiple choice done directly on Canvas

Upload written page

**Read instructions on Canvas**

Unit 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
Assignments and tests How to submit
Quiz 1 – Lessons 1, 2 and 3 Open link on Canvas
Quiz 2 – Lessons 4, 5 and 6 Open link on Canvas
Chapter 5 Video Notes and Review Assignment Scan and submit into Canvas dropbox
Chapter 5 Test Multiple choice done directly on Canvas

Upload written page

**Read instructions on Canvas**

Unit – 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
Assignments and tests How to submit
Quiz 1 – Lessons 1, 2 and 3 Open link on Canvas
Quiz 2 – Lessons 4 and 5 Open link on Canvas
Chapter 6 Video Notes and Review Assignment Scan and submit into Canvas dropbox
Chapter 6 Test i) Multiple choice done directly on Canvas

ii) Upload written page

**Read instructions on Canvas**

Unit 7 – Differential Equations and More Riemann 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
Assignments and tests How to submit
Quiz 1 – Lessons 1 and 2 Open link on Canvas
Quiz 2 – Lessons 3 and 4 Open link on Canvas
Chapter 7 Video Notes and Review Assignment Scan and submit into Canvas dropbox
Chapter 7 Test Multiple choice done directly on Canvas

Upload written page

**Read instructions on Canvas**

Unit 8 – Supplemental Topics

  • 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
Assignments and tests How to submit
Quiz 1 – Lessons 1 – 4 Open link on Canvas
Chapter 8 Video Notes and Review Assignment Scan and submit into Canvas dropbox

Required Resources:  a computer with internet access and headphones/speakers in addition to a graphing/scientific calculator.

BC Performance Standards