Pre-Calculus 3126
Chapter 8 - Polar Cooridinates; Vectors
Vocabulary: Polar Coordinate System, Pole, Polar Axis, Polar Coordinates, Limacon, Rose Curve, Cardioid, Lemniscate
Writing Prompts: A. Describe the difference in vector and scalar quantities and describe applications of each. B. What is the difference between the rectangular coordinate system and the polar coordinate system?
Code	LE's & SPI's	Fundamental Course Skills	Sample Assignment
S	SPI 3.12 Represent complex numbers in both rectangular and polar form.	Convert from polar coordinates to rectangular coordinates and vice-versa.	1 Day ~ 8.1 p. 590 #1-71 odd
S	SPI 3.12 Represent complex numbers in both rectangular and polar form.	Convert from polar equations to rectangular equations and vice-versa.
S	SPI 2.1 Students will sketch graphs of basic functions.	Plot points using polar coordinates.
S	SPI 3.12 Represent complex numbers in both rectangular and polar form.	Graph and identify polar equations by converting to rectangular equations.	2 Days ~ 8.2 p.607 #1-15 odd, 17-30
S	SPI 2.1 Students will sketch graphs of basic functions.	Graph polar equations by plotting points or by using a graphing utility.
S	SPI 3.13 Students will apply the trigonometric form of a complex number in calculations.	Convert a complex number from rectangular form to polar form.	3 Days ~ 8.3 p. 617-618 #3-48 (3rds)
S	SPI 3.13 Students will apply the trigonometric form of a complex number in calculations.	Plot points in the complex plane.
S	SPI 3.13 Students will apply the trigonometric form of a complex number in calculations.	Find products and quotients of complex numbers in polar form.
S	SPI 3.14 Prove and apply DeMoivre's Theorem to find roots and powers of complex numbers.	Use DeMoivre's Theorem.
S	SPI 3.14 Prove and apply DeMoivre's Theorem to find roots and powers of complex numbers.	Find complex roots.
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Graph vectors.	3 Days - 8.4 p. 628-629 #1-50 (5ths)
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Add and subtract vectors.
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Find a scalar product and the magnitude of a vector.
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Find a unit vector.
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Find a vector from its direction and magnitude.
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Work with objects in static equilibrium.
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Find the dot product of two vectors.	2 Days ~ 8.5 p. 636-637 #1-30 (5ths)
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Find the angle between two vectors.
S	SPI 3.11 Understand and apply vectors to solve real world problems.	Determine whether two vectors are parallel or orthogonal.
E	SPI 3.11 Understand and apply vectors to solve real world problems.	Decompose a vector into two orthogonal vectors.
E	SPI 3.11 Understand and apply vectors to solve real world problems.	Compute work.
E	SPI 3.11 Understand and apply vectors to solve real world problems.	Vectors In Space.	1 Day ~ 8.6 p. 647 #1-60 (5ths)
E	SPI 3.11 Understand and apply vectors to solve real world problems.	The Cross Product.	1 Day ~ 8.7 p. 653  #1-50 (5ths)
		Chapter Review	1 Day ~ p. 655-656 #3-54 (3rds)
This chapter should take 18 days with the labs and test.
Lab 10 - Motion with Dynamic Carts Labs - Lab 11 - The Inclined Plane