Mr Hickman's Class 2022-2023
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Pre-Calculus

Week 3

8-26-19 to 8-30-19
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
​

Schedule 8/26/19 -8/30/19

 monday
  • Assess Quiz 1 
    • angles in trigonometry
    • rotations
    • plotting angles in the coordinate plane
  • Arc Length, Linear Speed, Angular Speed

tuesday
  • start arc length
  • start linear speed
  • start angular speed
  • connect rotations to linear speed and angular speed
wednesday BACK TO SCHOOL NIGHT
  • continue tuesday's objectives
  • add applications related to angular and linear speed, arc length, and rotations
  • add sector area and chord length
thursday
  • Review for quiz
  • Start Unit Circle if time permits
  • Define reference angles
friday​ THREE DAY WEEKEND
  • Unit Circle and special angles
  • Quiz over arc length, chord length, sector area, linear speed, and angular speed

Topics

  • 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 

Examples of Arc Length Problems

Examples of Arc Length 2 , DMS to DD Conversion, and DD to DMS Conversion

Examples of Arc Length 3 , Distance on the Globe, DMS to DD, DD to DMS

Practice

LARSON 10th Edition Practice

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

Notes & Handouts

  • Angles in trigonometry 1-4
    • worked out solutions
    • ​assigned 9-19-16 to 9-23-19
  • ​​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

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

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

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


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