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List of Precalculus Lessons Julia Kim (mdprincess83) 2019-5-29  09:54:14

HPC 2019
Semester B
Unit 3 Topic 3Prove trig identities with double angle
Solving trig equations with double angle identities
Proof of Law of Sines and solving trianlgeLinks to an external site.
Law of Sines Ambiguous Case (ASS)
Prove the Law of Consine
Solve triangles using the law of cosines
triangle application problems
Area of non right triangle
Heron's formula
Unit 4 Topic 1: VectorsVector: Component form and Magnitude
Add Vectors graphically and algebraically
Unit Vector
Standard unit vectors
Direction angle of vector
Heading and Bearing
Word Problem to find a Component form of a vector
Word Problem with adding two Vectors
Angle between two vectors
vector word problem with air plane and wind #2
Vector application with two force acting on object
Unit 4 Topic 2: ParametricsGraph Parametric Equation
Eliminate Parameter (rectangular form)Links to an external site.
Vector equation
Convert from Rectangular form to Parametric form: Parabola, E
Convert from Parametric form to Rectangular Form: Circle and
Projectile motion with parametric equation
Convert Rectangular equations to Polar equationsLinks to an external site.
Unit 4 Topic 3: PolarsPolar Coordinate System. How do Plot and Graph in Polar coordi
4 Different ways to name one point in Polar Coordinates.Links to an external site.
Convert Polar Equations to Rectangular Equations
Trace Trig graph to Polar graph
Characteristics and Equations of Limacons and circlesLinks to an external site.
Write equations of polar graphs: Limacon(Cardiod, Convex), Rose, Lem
Graph Polar equations using Graphing CalculatorLinks to an external site.
Symmetry of Polar Equations by proving algebraicallyLinks to an external site.
Key features of Polar graphLinks to an external site.
Solve System of Polar Equations: Solutions, and Common points
Convert Rectangular Complex numbers to Trigonometric/Polar Links to an external site.
Convert Trigonometric/Polar Complex numbers to to Rectangular FormLinks to an external site.
Convert 5, Rectangular to Polar form and Polar to Rectangular formLinks to an external site.
Multiply and Divide Complex Numbers in Polar formLinks to an external site.
DeMoivre's Theorem: Powers of Complex Numbers in Polar FormLinks to an external site.
find n th roots of Complex numbers in Polar formLinks to an external site.
Unit 5: MatrixOrder of Matrix and add, subtract, and scalar multiplyLinks to an external site.
Matrix: Multiply 2x2 MatricesLinks to an external site.
Identity matrix and proving inverse matricesLinks to an external site.
Find Determinant and inverse of 2x2 Matrix Links to an external site.
Matrix: Solve system of equations: 2x2 matrix by Hand and Cal
Matrix Using Graphing CalculatorsLinks to an external site.
Matrix: Solve system of equations using 3x3 matrix by Calculato
Transformation of a Square using Complex Numbers (Explor
Matrix Transformations: Hunt for better notationLinks to an external site.
Matrix Transformations: Dilation and RotationLinks to an external site.
Matrix: Describe Transformation Rules of x and y
Matrix Transformation: Area of image =Determinant
Solving System of Equations 2x2 by Elimination Method
Solving System of Equations 3x3 by EliminationLinks to an external site.
Solving System of Equations 3x3 by Elimination Method #2
Solving System of Equations 3x3 by Matrix on Calculator
Solving System of Equations 3x3 by Elimination Method #3
Equation of Polynomial with given points by Solving System of EquationsLinks to an external site.
Partial Fraction Decomposition to 2 fractions
Partial Fraction Decomposition to 3 fractions
Unit 6: Discrete Math
Basic Counting Principle
Permutation
Distinguishable Permutation
Combination
Binomial theorem with Pascal's Triangle
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