Pre-Calculus

Week 4

9-2-19 to 9-6-19
LARSON 10th Edition
These are links to previous weeks' webpages ​ ​

Schedule 9/2/19 -9/6/19

 monday
  • No School Labor Day
tuesday
  • FA AL Linear Speed Angular Speed basics 
  • applications that involve arc length, linear speed, and angular speed from LARSON Text
wednesday (Shortened Classes due to Math Afterschool PLC)
  • continue applications that involve arc length, linear speed, and angular speed from LARSON Text
  • add sector area and chord length
  • start special angles and special right triangles
  • SIN COS TAN Chart completion
  • start unit circle
thursday
  • Review for quiz 2
  • FA Unit Circle if time permits
  • Define reference angles
friday​
  • 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
  • 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 

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

Solutionas to FA on Arc Length, Linear Speed, and Angular Speed

Bicycle and Pulley Examples 
​#98 is the same problem as #105 in Larson Book

Practice

LARSON 10th Edition Practice

Notes & Handouts

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

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: 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