Mr Hickman's Class 2022-2023
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Pre-Calculus

Week 5

9-9-19 to 9-13-19
Picture
LARSON 10th Edition
  • ​​​​​​​​Links to Odd Solutions from Trig Textbook
These are links to previous weeks' webpages ​
  • ​​Week 1: 8-14-19 to 8-16-19
  • Week 2: 8-19-19 to 8-23-19
  • ​Week 3: 8-26-19 to 8-30-19
  • ​Week 4: 9-2-19 to 9-6-19
​

Schedule 9/9/19 -9/13/19

 monday
  • Continue work with unit circle
  • Discuss reference angles that are not special
  • Matching special angles to coordinates on the unit circle
tuesday
  • Continue connecting reference angles to unit circle
  • Continue connecting the six trigonometric functions to each other.
  • Expand the special angles chart to all quadrants
  • Review how to find trigonometric ratios of "non-special" angles in the coordinate plane
  • Discuss the difference between a circle of radius 1 and a circle of radius 2 and a circle of radius r
wednesday​ (Shortened Classes DEPT PD after school)
  • Take special angles chart mini-quiz
  • Get new seats
  • FA on exact values of six trigonometric functions in degrees for special angles in trigonometry
thursday
  • FA on exact values of six trigonometric functions in radians for special angles in trigonometry
​friday​
  • ​Quiz over six trigonometric functions and special angles in the coordinate plane

Topics

  • Determine the length of a chord of a circle
  • Determine the area of a sector of a circle
  • The basics of reference angles in the coordinate plane
  • The basics of the unit circle
  • review special right triangles
  • Be able to complete special angles SIN COS TAN chart 

Practice

LARSON 10th Edition Practice

  • ​​​​​​Links to Odd Solutions from Trig Textbook
  • Section 6.1 Suggested Problems

Notes & Handouts

Unit Circle​
  • Unit Circle Notes and Practice
​Arc Length Linear Speed Angular Speed
  • ​​Arc Length, Linear Speed, Angular Speed Notes & HWK
    • ​worked out solutions
    • ​assigned 9-19-16 to 9-23-19​​

Formative Assessment

  • ​FA on Arc Length
    • given over 8/28/19 to 8/30/19
    • 140 Desmos Link
    • 99 Desmos Link
    • 168 Desmo Link
    • 40 Desmos Link
  • FA on Arc Length, Linear Speed, and Angular Speed Appliction problems 
    • given on 9-3-19
    • Solutions to assignment

Solutions to FA on 9-11-19

Goals:
  • Be able to convert angles that exceed 360 degrees to their smallest positive coterminal angle
  • Be able to convert negative angles in degrees to their smallest positive coterminal angle
  • Be able to determine the quadrant an angle lands in if it was plotted in the coordinate plane
  • Be able to state the related reference angle
  • Be able to connect the right triangle in a quadrant to a 30/60/90 triangle or a 45/45/90 triangle
  • Be able to determine the exact value of all six trigonometric functions of an angle that is special

Solutions to FA on 9-12-19

Goals:
  • Be able to convert angles that exceed 2pi radians to their smallest positive coterminal angle
  • Be able to convert negative angles in radians to their smallest positive coterminal angle
  • Be able to determine the quadrant an angle lands in if it was plotted in the coordinate plane
  • Be able to state the related reference angle in radians
  • Be able to connect the right triangle in a quadrant to a 30/60/90 triangle or a 45/45/90 triangle
  • Be able to determine the exact value of all six trigonometric functions of an angle that is special

Solutions Version 28 of Quiz 2

Additional Resources


Khan Academy

Other Websites

Unit Circle
  • Unit Circle Basics
  • ​Reference angles 
​​Linear Speed Angular Speed Arc Length
  • Linear Speed and Angular Speed
  • ​Arc Length
Angles in Trigonometry
  • 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

Angles in Coordinate Plane
  • Which quadrant does my angle lie in?
  • Which quadrant does my angle lie 2?
  • Which quadrant does my angle lie in3?​
Arc Length, Linaer Speed, Angular Speed
  • 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
  • pulley problem examples
  • pulley problem example 2
  • ​linear speed and rpm
  • ​wheel problem examples
​Arc Length 
  • Arc Length
Unit Circle and Reference Angles
  • the unit circle
  • the unit circle
  • the unit circle
  • the unit circle
  • the unit circle and graphs of basic trigonometric functions
  • the unit circle and graphs of basic trigonometric functions
  • ​​How to use refernce anges in relation to unit circle
  • ​​How to use refernce anges in relation to unit circle
  • ​​How to use refernce anges in relation to unit circle​
  • How to use reference angles in relation to unit circle


Geogebra Resources

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

Desmos Resources



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
  • ​Radical Functions
  • ​Radical Operations
  • ​Logarithmic Functions
  • ​​Logarithmic ​Operations
  • ​Exponential Functions
  • ​Exponential ​Operations
  • Conic Sections
  • ​Matrices
  • ​Series and Sequences
  • ​Probability
  • ​Counting Principles


Topics throughout the semester


Week 1: 8-14-19 to 8-16-19
  • Solving Equations
  • Graphing Functions
  • Domain and Range
  • SOHCAHTOA and Right Triangles
  • Simplification of Rationals
  • Simplification of Radicals
Week 2: 8-19-19 to 8-23-19
  • 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.

​​Week 3: 8-26-19 to 8-30-19
  • Determine arc length on circle
  • Determine the linear speed of a rotating circular object along a straight line
  • Determine the angular speed of a spinning object
  • Determine the length of a chord of a circle
  • Determine the area of a sector of a circle
  •  Solve application problems related to arc length, sector area, chord length, linear speed, and angular speed
  • Start the basics of the unit circle time permitting
  • review special right triangles 

Quiz 1 Results

​Week 4: 9-2-19 to 9-6-19
  • Determine arc length on circle
  • Determine the linear speed of a rotating circular object along a straight line
  • Determine the angular speed of a spinning object
  • Determine the length of a chord of a circle
  • Determine the area of a sector of a circle
  •  Solve application problems related to arc length, sector area, chord length, linear speed, and angular speed
  • The basics of reference angles in the coordinate plane
  • The basics of the unit circle
  • review special right triangles
  • Be able to complete special angles SIN COS TAN chart 

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