MCV4U+-+2016-2017



Course Outline:

__News Flashes__:



__ Vectors: __

__Unit 1: Vector Concepts and Applications__ [|Airplane Problem] || ||  || [|Angle between vectors] || ||  ||
 * Lesson || Major Concept || Useful Videos || Handouts || Homework ||
 * 1 || Intro Vectors || [|Unit Vectors] || [[file:01 - Intro Vectors.doc]] || [[file:01 - Intro Vectors HMWK.doc]] ||
 * 2 || Alg and Geo Vectors || [|Vector Operations] || [[file:02 - Alg and Geo Vectors.doc]] || [[file:02 - Alg and Geo Vectors HMWK.doc]] ||
 * 3 || 3-D vectors and Vector Addition || [|3-d vectors] || [[file:03 - Intro 3-D Vectors and Vector Addition.doc]] || [[file:03 - 3-D and Vector Addition HMWK.doc]] ||
 * 4 || Vector Operations ||  || [[file:04 - Continue with Vector Operations.doc]] || [[file:04 - Continue with Vector Operations HMWK.doc]] ||
 * 5 || Challenge Set #1 ||  ||   || [[file:05 - Challenge set #1.doc]] ||
 * 6 || Vector Applications - Forces ||  || [[file:06 - Vector Applications - Forces.doc]] || [[file:06 - Vector Applications - Forces - HMWK.doc]] ||
 * 7 || Vector Applications - Velocity || [|Resultant]
 * 8 || Dot Product || [|Dot Product]
 * 9 || Projections || [|Projections] || [[file:09 - Projections.doc]] || [[file:09 - Dot product and Projections HMWK.doc]] ||
 * 10 || Challenge Set #2 ||  ||   || [[file:10 - Challenge Set #2.docx]] ||
 * 11 || Cross Product ||  || [[file:11 - Cross Product.doc]] || [[file:11 - Cross Product - HMWK.doc]] ||
 * 12 || Applications of Cross Product || [|Triple Scalar Product (Volume of Parallelpiped)] || [[file:12 - Applications of Cross Product.doc]] || [[file:12 - Applications of Cross Product - HMWK.doc]] ||
 * 13 || Challenge Set #3 ||  ||   || [[file:13 - Challenge Set #3.doc]] ||
 * 14 || Review ||  ||   || [[file:14 - Review.doc]] ||

__Unit 2: Lines__

[|Types of Intersections] || ||  ||
 * Lesson || Major Topic || Useful Videos || Handouts || Homework ||
 * 1 || Lines in 2-D ||  || [[file:01 - Lines in 2 - Space.doc]] || [[file:01 - Lines in 2 - Space HMWK.doc]] ||
 * 2 || Challenge Set #1 ||  ||   || [[file:02 - Challenge Set #1.doc]] ||
 * 3 || Lines in 3-D ||  || [[file:03 - Lines in 3 - Space.doc]] || [[file:03 - Lines in 3 - Space HMWK.doc]] ||
 * 4 || Challenge Set #2 ||  ||   || [[file:04 - Challenge Set #2.doc]] ||
 * 5 || Intersection of Lines || [|Intersection of Lines]
 * 6 || Challenge Set #3 ||  ||   || [[file:06 - Challenge Set #3.doc]] ||
 * 7 || Distance || [|Point and Line 3-space] || [[file:07 - Distance.doc]] || [[file:07 - Distance HMWK.doc]] ||
 * 8 || Challenge Set #4 ||  ||   || [[file:08 - Challenge Set #4.doc]] ||
 * 9 || Review ||  ||   || [[file:09 - Lines Review.doc]] ||

__Unit 3: Planes__


 * Lesson || Major Topics || Useful Videos || Handouts || Homework ||
 * 1 || Planes ||  || [[file:01 - Planes.doc]] || [[file:01 - Planes HMWK.doc]] ||
 * 2 || Challenge Set #1 ||  ||   || [[file:02 - Challenge Set #1.doc]] ||
 * 3 || Intersection of Lines and Planes and Distances || [|Two Planes]

[|Line and Plane] || ||  ||
 * 4 || Challenge set #2 ||  ||   || [[file:04 - Challenge Set #2.doc]] ||
 * 5 || Intersection of Planes ||  || [[file:05 - Intersection of Three Planes.doc]] || [[file:05 - Intersection of Three Planes HMWK.doc]] ||
 * 6 || Review ||  ||   || [[file:06 - Planes Review.doc]] ||
 * 7 || Challenge Set #3 ||  ||   || [[file:07 - Challenge Set #3.doc]] ||

__ Calculus: __ Average Rate of Change Turning points and inflection points Increasing/decreasing concave up/concave down || || IROC and turning Points || || Intro to IROC function || || tangents and normals IROC at turning points IROC at any point Graph of f(x) vs f '(x) vs f "(x) || || ||
 * Lesson || Major Concept || Handouts ||
 * 1 || First and Second Differences
 * 2 || Limits and Continuity || [[file:Activity 2 - IROC and Limits.doc]] ||
 * 3 || Curve Sketching
 * 4 || Optimization
 * 5 || Derivative from 1st Principles
 * 6 || Review || [[file:MCV4U Calculus test no. 1 review.doc]]
 * 7 || Test - February 24th ||  ||

||
 * Lesson || Major Concept || Handouts ||
 * 1 || Derivative of the form ax^n || [[file:Activity 6 day 1 - Polynomials.doc]] ||
 * 2 || Derivative of trig functions || [[file:Activity 6 day 2 - Trig.doc]] ||
 * 3 || Derivative of exponential functions || [[file:Activity 6 day 3 - Exponentials (redone).doc]] ||
 * 4 || The natural logarithm and its derivative || See above ||
 * 5 || Consolidation of Concepts || [[file:Activity 6 Day 5 - Consolidation of basic derivatives.doc]] ||
 * 6 || Product and Quotient Rule || [[file:Activity 7 Day 1 - ProdQuot.doc]] ||
 * 7 || Chain rule || [[file:Activity 7 day 2 - Chain.doc]] ||
 * 8 || Using the derivative to accurately sketch curves || [[file:Activity 8 - Curve Sketching.doc]] ||
 * 9 || Optimization || [[file:Activity 10 Time Distance Optimization.doc]]