Unit 9:  Intro to Vector Calculus

Unit 9:  Intro to Vector Calculus

COVID Era Unit 9 Videos

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• Day 37:  AP TEST DAY, Thoughts about the test, Introduction to Vectors (45)

  • • Sleep it off

• Day 38:  Start Vectors

  • • Vector Worksheet 1

      • • Vector Worksheet 1 Answers

• Day 39:  Algebra 1 in Vector Form, Cartesian Equations and Vector Equations

  • • Vector Notes Sheet

    • Vector Worksheet 2

      • • Vector Worksheet 2 Answers

    • Video 0.5:  Equations of Lines in Vector Space

    • Video 1:  Let's Race!

    • Video 2:  Standard Cartesian Form 

    • Video 3:  Converting from Cartesian to Vector 

    • Video 4:  Converting from Vector to Cartesian

    • Video 5:  Perpendicular Bisectors

    • Video 6:  Vector Projection and Scalar Projection

    • Video 7:  Distance from a Point to a Line (Vector)

    • Video 8:  Distance from a Point to a Line (Cartesian)

• Day 40:  Intersection of Lines (45)

  • • Vector Notes Sheet

    • Vector Worksheet 3

      • • Vector Worksheet 3 Answers

    • Vector Worksheet 4

      • • Vector Worksheet 4 Answers

    • Video 1:  How Many Ways Can You Solve a 2x2 System of Equations?

    • Video 2:  Solving Systems of Equations using Vector Methods BEST METHOD EVER!

    • Video 3:  One More Example

• Day 41:  Finish Day 40, 2D Vector Workday (RETAKE SLGG TEST?)

• • • Master ALL of the 2D Worksheets

• Day 42:  3D Vector Basics, Equations of Planes (seniors skip day?)

  • • Transitioning from 2D to 3D

    • Be able to find the norm of a 3D vector

    • Be able to add, subtract, and compute the dot product of any two 3D vectors

    • Practice calculating the cross product of two 3D vectors.  Do an infinite number of these

    • Practice BIG PROBLEM #1 an infinite number of times (given 3 points, find the equation of the plane that contains them).  Be sure to VERIFY

• Day 43:  BIG PROBLEM #1, Big Problem #2

  • • Practice calculating the cross product of two 3D vectors.  Do an infinite number of these

    • Practice BIG PROBLEM #1 an infinite number of times (given 3 points, find the equation of the plane that contains them).  Be sure to VERIFY

    • Practice Big Problem #2 an infinite number of times (given 2 planes, find the line of intersection).  Be sure to VERIFY

    • Vector Worksheet 5

      • • Vector Worksheet 5 Answers

    • Vector Worksheet 6

      • • Vector Worksheet 6 Answers

    • Derivation of 3D distance from a point to a line

• Day 44:  3D Lines, Distance, the rest of the stuff, Doing the Square Problem

  • • Practice Big Problem #1 an infinite number of times

    • Practice Big Problem #2 an infinite number of times

    • Vector Worksheet 5

      • • Vector Worksheet 5 Answers

    • Vector Worksheet 6

      • • Vector Worksheet 6 Answers

    • Derivation of 3D distance from a point to a line

• Day 45:  3D Workday,  CLASS PICTURE DAY (45)

  • • Finish all 3D worksheets (skip the "square" problem this year?)

    • Practice Big Problem #1 an infinite number of times

    • Practice Big Problem #2 an infinite number of times

• Day 46:  Vector Exam 

• • • YAY!!!  NO HOMEWORK!!! For seniors, maybe never again??

• Day 47:  Books and Calculators Returned, Important Vital Movie Day #1

• Day 48:  Important Vital Movie Day #2 (45)

• Day 49:  Important Vital Movie Day #3

• Day 50:  Important Vital Movie Day #4:

• Day 51:  Last Day (75)