Pre-Calculus

Week 5

9-9-19 to 9-13-19
LARSON 10th Edition
These are links to previous weeks' webpages ​ ​

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

Notes & Handouts

Unit Circle​ ​Arc Length Linear Speed Angular Speed

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

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 ​​Linear Speed Angular Speed Arc Length Angles in Trigonometry

YOU Tube

Angles in Coordinate Plane
Arc Length, Linaer Speed, Angular Speed ​Arc Length 
Unit Circle and Reference Angles

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: 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