Pre-Calculus

Week 3

8-26-19 to 8-30-19
LARSON 10th Edition
These are links to previous weeks' webpages ​ ​

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

Notes & Handouts

Formative Assessment

  • ​FA on Arc Length

Additional Resources

Khan Academy

Other Websites

YOU Tube

Trigonometry Topics

Pre-Calculus Topics

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
  • 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