Mr Hickman's Class 2021-2022
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Trigonometry & Precalculus Week 2

Week 1: 8/14/19 to 8/16/19


Schedule 8/19/19 -8/23/19

monday
(time schedule off 2nd hour assembly)

  • Define angles in trigonometry
  • Conversion of angles between different formats
    • degree to radians
    • radians to degrees
    • decimal degrees to DMS
    • DMS to decimal degrees
  • Classify angles and angle pairs
  • Determine coterminal angles 
    • negative
    • positive through rotations
tuesday
(time schedule off 2nd hour assembly)
  • continue monday's objectives
  • start arc length
  • start linear speed
  • start angular speed
  • start rotations
wednesday
  • continue tuesday's objectives
  • add applications related to angular and linear speed, arc length, and rotations
thursday
  • Review for quiz
  • Start Unit Circle if time permits
friday​
  • Unit Circle and special angles
  • Quiz over monday through thursday's objectives

Topics

  • Determine the measure of an angle using a variety of methods
  • Connect radian measure to a circle with radius 1
  • Describe the difference between Decimal Degrees and DMS
  • Use technology to convert between types of angle measures
  • Apply the concept of linear speed to circular motion and vice versa
  • Connect linear speed to angular speed
  • Determine other forms of an angle in terms of negative angles, positive and negative rotations, reflex angles, an angle's complement and supplement
  • Determine the number of rotations present when given any angle in any format
  • Be able to draw an angle in the coordinate plane regardless of format of an angle.

Practice

  • Solving Equations Diagnostic
  • Graphing Diagnostic
  • Rational, Radical, and SOHCAHTOA Diagnostic​​​​​

Notes

  • Angles in trigonometry 1-4
    • worked out solutions

Formative Assessment

  • Convert R to D and Convert D to R Formative Assessment (4 versions)
    • ​solutions to radians to degrees
    • ​solutions to degrees to radians
    • ​Solutions
  • ​Convert Coterminal Angles Formative Assessment (4 versions)
    • Solutions 

Additional Resources

Khan Academy

Other Websites

  • Radians Introduction
  • Radians to Degrees Conversion
  • Degrees to Radians Conversion
  • What Quadrant does my angle angle lie in?
  • Arc length, linear speed, and angular speed​
YOU TUBE 
  • Which quadrant does my angle lie in?
  • Which quadrant does my angle lie 2?
  • Which quadrant does my angle lie in3?
  • linear speed and angular speed part 1
  • inear speed and angular speed part 2
  • linear speed and angular speed 2
  • linear speed and angular speed 3
  • linear speed and angular speed 4
  • ​linear speed  and angular speed 5
  • ​linear speed and angular speed 6
  • Conversion of rpm to radians per socond

Geogebra Resources

  • Circular Motion 
  • Linear Speed and Angular Speed
  • Linear Speed, Angular Speed, and Rotations
  • Linear Speed versus Angular Speed


Trigonometry Topics

Angles and their Measures

Right Triangle Trigonometry

Six Different Trigonometric Functions

Graphs of Sine and Cosine

Graphs of Tangent and Cotangent

Graphs of Secant and Cosecant

Inverse Trigonometry

Trigonometric Models

Solving Trigonometric Equations

Fundamental Trigonometric Identities

Verifying Trigonometric Identities

Advanced Trigonometric Identities

Law of Sines

Law of Cosines

Vectors in the Plane

Vector Operations

Complex Numbers

Polar Graphs


Pre-Calculus Topics


Rational Functions

Rational Operations

Conic Sections

Radical Functions

Radical Operations

Matrices

Logarithmic Functions

​Logarithmic ​Operations

Series and Sequences

Exponential Functions

Exponential ​Operations

Probability

Counting Principles


Topics throughout the semester

Week 1
  • Solving Equations
  • Graphing Functions
  • Domain and Range
  • SOHCAHTOA and Right Triangles
  • Simplification of Rationals
  • Simplification of Radicals

Week 2
  • Determine the measure of an angle using a variety of methods
  • Connect radian measure to a circle with radius 1
  • Describe the difference between Decimal Degrees and DMS
  • Use technology to convert between types of angle measures
  • Apply the concept of linear speed to circular motion and vice versa
  • Connect linear speed to angular speed
  • Determine other forms of an angle in terms of negative angles, positive and negative rotations, reflex angles, an angle's complement and supplement
  • Determine the number of rotations present when given any angle in any format
  • Be able to draw an angle in the coordinate plane regardless of format of an angle.

Suggested links 

Khan Academy Link
Ck 12 Link
Learn Zillion Link

Links to Odd Solutions from Trig Textbook

My Secret Math Tutor Link
Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you