MCV4U - Calculus and Vectors
Prerequisite: MHF4U
In the first half of this course, students will study geometric and algebraic vectors and their applications and use vectors to explore the geometry of lines and planes.
In the second half, students will study instantaneous rates of change, the derivative, optimization and curve sketching
Go to:
In the first half of this course, students will study geometric and algebraic vectors and their applications and use vectors to explore the geometry of lines and planes.
In the second half, students will study instantaneous rates of change, the derivative, optimization and curve sketching
Go to:
Vectors Part 1: Algebraic and Geometric Vectors
Lesson |
Date |
Topic |
Handouts |
1 |
Monday Feb 3rd |
- Introduction to vectors - Algebraic and Geometric Vectors - Unit Vector |
|
2 |
Tuesday Feb 4th |
- Converting Algebraic and Geometric Vectors |
|
3 |
Wednesday Feb 5th |
- Intro to 3-D vectors - Scalar Multiplication - Vector Addition |
|
4 |
Thursday Feb 6th |
- Vector Operations - Subtraction - Point to Point Vectors |
04_-_continue_with_vector_operations.pdf 04_-_vector_operations_hmwk.pdf Video - Essential Operations |
5 |
Friday Feb 7th |
- Challenge Set #1 - Course Selection Assembly |
|
6 |
Monday Feb 10th |
- Vector Applications - Forces |
06_-_vector_applications_-_forces.pdf Video - Algebraic and Geometric and Resultant Video - Resultant Forces |
7 |
Tuesday Feb 11th |
- Vector Multiplication - The Dot Product - Applications |
|
8 |
Wednesday Feb 12th |
- Extra Practice -Begin Challenge Set #2 |
|
9 |
Thursday Feb 13th |
- Challenge Set #2 |
|
10 |
Friday Feb 14th |
- Review for Test #1 |
|
11 |
Tuesday Feb 18th |
Value |
Value |
12 |
Wednesday Feb 19th |
- Test #1 |
|
13 |
Thursday Feb 20st |
- Vector Applications - Velocity |
|
14 |
Monday Feb 24th |
- Vector Applications - Projections |
|
15 |
Tuesday Feb 25th |
- Vector Multiplication - Cross Product |
|
16 |
Wednesday Feb 26th |
- Challenge Set #3 |
|
17 |
Thursday Feb 27th |
- Vector Applications - Collinearity, Coplanarity, Area |
|
18 |
Monday Mar 2nd |
- Vector Applications - Volume, Torque |
|
19 |
Tuesday Mar 3rd |
- Challenge Set #4 |
|
20 |
Wednesday Mar 4th |
- Review Test #2 |
|
21 |
Thursday Mar 5th |
- Test #2 |
Vectors Part 2: Geometry of Lines and Planes
Lesson |
Date |
Topic |
Handouts |
1 |
Friday Mar 6th |
- Equation of a Line in 2-space |
|
2 |
Monday Mar 9th |
- Challenge Set #1 |
|
3 |
Tuesday Mar 10th |
- Equation of a Line in 3-space |
|
4 |
Wednesday Mar 11th |
- Challenge Set #2 |
|
5 |
Thursday Mar 12th |
- Intersection of Lines in 2- and 3-Space |
|
6 |
Friday Mar 13th |
- Challenge Set #3 |
|
7 |
Monday Mar 23rd |
- Distance |
|
8 |
Tuesday Mar 24th |
- Challenge Set #4 |
|
9 |
Wednesday Mar 25th |
- Review for Test #3 |
Lesson - Lines Review |
10 |
Thursday Mar 26th |
- Continue Review |
|
11 |
Friday Mar 27th |
- Test #3 |
|
12 |
Monday Mar 30th |
- Introduction to Planes |
|
13 |
Tuesday Mar 31st |
- Challenge Set #1 |
|
14 |
Wednesday April 1st |
- Intersection of a Line and a Plane - Intersection of Two Planes - Distance Between a Point and a Plane |
|
15 |
Thursday Apr 2nd |
Challenge Set #2 |
|
16 |
Friday Apr 3rd |
- Intersection of 3 Planes |
|
17 |
Monday Apr 6th |
- Challenge Set #3 |
|
18 |
Tuesday Apr 7th |
- Review of Planes |
Lesson - Test #4 Review |
19 |
Wednesday Apr 8th |
- Test #4 |
|
20 |
Thursday Apr 9th |
- Review for Summative |
|
21 |
Tuesday Apr 14th |
- Review for Summative |
|
22 |
Wednesday Apr 15th |
- Summative Part 1: Geometry of Vectors |
|
23 |
Thursday Apr 16th |
- Summative Part 2: Algebraic and Geometric Vectors |
Calculus Part 1: Instantaneous rates of change, first principles and the derivative
Lesson |
Date |
Topics |
Handouts |
1 |
Monday Apr 15th |
- Average Rates of Change |
|
2 |
Tuesday Apr 16th |
- Finish Average Rates of Change - Summary of Findings |
|
3 |
Wednesday Apr 17th |
- Consolidate Summary of Findings - Making Predictions with 1st and 2nd Differences |
Lesson - Making Predictions |
4 |
Thursday Apr 18th |
- Introduction to Limits - Graphically - DESMOS - Introduction to Limits |
Lesson - Graphical Limits |
5 |
Tuesday Apr 23rd |
- IROC as a Limit; intro to limits |
|
6 |
Wednesday Apr 24th |
- Assessing IROC - oddities |
Value |
7 |
Thursday Apr 25th |
- IROC - algebraically |
|
8 |
Friday Apr 26th |
- Using limits and IROC to curve sketch |
Lesson - Curve Sketching |
9 |
Monday Apr 29th |
- Optimization |
Lesson - Optimization |
10 |
Tuesday Apr 30th |
- First Principles - The IROC Function |
Lesson - First Principles |
11 |
Wednesday May 1st |
- Continued |
Video - Sine |
12 |
Thursday May 2nd |
- Review for Test #1 |
|
13 |
Friday May 3rd |
- Test #1 |
Calculus Part 2: Derivative Rules, optimization and curve sketching
Lesson |
Date |
Topics |
Handouts |
1 |
Monday May 6th |
- Derivative Rules - Power Rule |
Lesson - Power Rules |
2 |
Tuesday May 7th |
- Derivative Rules - Trig Functions |
Lesson - Trig Functions |
3 |
Wednesday May 8th |
- Derivative Rules - Exponential Functions |
Lesson - Exponential Functions |
4 |
Thursday May 9th |
- Continue with Exponential Functions |
Practice - Using ln |
5 |
Friday May 10th |
- Consolidation of Derivative Rules |
Lesson - Consolidation |
6 |
Monday May 13th |
- Product Rule - Quotient Rule |
Lesson - Product and Quotient Rules |
7 |
Tuesday May 14th |
- Chain Rule |
Lesson - Chain Rule |
8 |
Wednesday May 15th |
- Consolidation and Practice - Second Derivative |
Value |
9 |
Thursday May 16th |
- Curve Sketching |
Lesson - Curve Sketching |
10 |
Friday May 17th |
- Continue Curve Sketching |
|
11 |
Tuesday May 21st |
- Optimization |
Lesson - Optimization |
12 |
Wednesday May 22nd |
||
13 |
Thursday May 23rd |
- Review for Test #2 |
|
14 |
Friday May 24th |
- Continue to review for Test #2 |
|
15 |
Monday May 27th |
- Review - Test #2 bumped to tomorrow |
|
16 |
Tuesday May 28th |
- Test #2 |
Calculus Part 3: Higher level derivatives, optimization and curve sketching
Lesson |
Date |
Topics |
Handouts |
1 |
Wednesday May 29th |
- Position, Speed, Acceleration |
Lesson - SVA |
2 |
Thursday May 30th |
- Continued |
|
3 |
Friday May 31th |
- Derivatives and IROC Problems |
Lesson - Derivative Problems |
4 |
Monday June 3rd |
- Derivatives Continued |
|
5 |
Tuesday June 4th |
- Optimization |
Lesson - Optimization |
6 |
Wednesday June 5th |
- Optimization Continued |
|
7 |
Thursday June 6th |
- Curve Sketching - Sketch Anything |
Lesson - Complex Curve Sketching |
8 |
Friday June 7th |
- Curve Sketching Continued |
|
9 |
Monday June 10th |
- Review |
|
10 |
Tuesday June 11th |
- Test #3 |
|
11 |
Wednesday June 12th |
- Calculus Review |
|
12 |
Thursday June 13th |
- Review |
|
13 |
Friday June 14th |
- Summative Preparation |
|
14 |
Monday June 17th |
- Summative Preparation |
|
15 |
Tuesday June 18th |
- Summative Preparation |
|
16 |
Wednesday June 19th |
- Period 1 Summative Task |
|
17 |
Friday June 21st |
- Period 3 Summative Task |