Mr Hickman's Class 2022-2023
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Topic in Trigonometry


Angles and their Measures

Types of Problems:

  • definition of the various parts and types of angles
  • classification of angles
  • connection between specific angle pairs
    • ​complementary
    • supplementary
    • explementary
    • coterminal
  • use of reference angles
  • conversion between degree and radian measurement
  • conversion between decimal degree and DMS
  • conversion between negative and positive angles
  • connection between standard position and rotations
  • special angle measures in each of the quadrants and on the axes

Practice 

  • GUIDED Notes Angles in Trigonometry 1-4
  • FA Converting angles R to D and D to R
    • Solutions FA Degrees to Radians
    • Solutions FA Radians to Degrees

Digital Resources


Khan Academy

  • 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​

Other Websites

Rapid Tables Website
  • Degrees to Radians​
  • Radians to Degrees

Desmos Files

YOU Tube

  • complement of an angle​
  • supplement of an angle
  • Coterminal angles

Geogebra Files

  • Angle Classifications
  • ​Angle Classifications 2 
  • Acute Angles
  • Right Angles 
  • Obtuse Angles
  • Straight Angles
  • Reflex Angles 

Formative Assessment Slideshows


Solutions to Formative Assessment: Pass the Problem 8-20-19
Solutions to Formative assessment Degrees to Radians 8-21-19
  • Goals
    • convert degrees to exact radians
    • convert degrees to approximate radians
    • plot angle on coordinate grid 
    • determine the number of revoluttions an angle represents


Applications of Angles

Types of Problems:

  • use of angular speed in an application problem
  • use of linear speed in an application problem
  • determination of arc length
  • determination of sector area
  • determination of number of rotations or revolutions

Practice

KUTA Worksheet: Arc Length and Sector Area
STUDY LIB Worksheet: Applications of Linear and Angular Speed 
PDF Angular and Linear Speed
PDF Linear and Angular Speed Worked Out Examples
PDF Arc Length, Sector Area, Linear Speed and Angular Speed

​Video and other resources

Texas Gateway LINK: Angular Velocity 
Open Curriculum Link: Linear and Angular Speed
YOU TUBE Video: Arc Length and Sector Area
YOU TUBE Video: Linear Speed versus Angular Speed
YOU TUBE Video: Find Linear Speed given RPM & radius



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