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Second Semester Geometry 2019-2020

LINK TO ONLINE TEXTBOOK
Mr. Urbanc's Website

Topics

  • Special Right Triangles and their Patterns
  • 30/60/90 triangles
  • 45/45/90 Triangles 
  • Pythagorean Triples
  • Classification of Triangles by side lengths
  • SOHCAHTOA
  • Using Right Triangles to find missing angles and sides
  • Applications of Right Triangles

Triangles

Goals: 
  • Be able to recognize and classify a triangle by its sides & angles
  • Be able to determine missing angle measurements related to a triangle
  • Be able to determine the two of the three missing sides of a special right triangle based on the one of the given sides
  • Be able to apply SOHCAHTOA in its many forms to state any rated trigonometric ratio
  • Be able to apply SOHCAHTOA in its many forms to find any missing angle measurements based on sides
  • Be able to apply SOHCAHTOA in its many forms to find any missing side lengths based on an angle and a side length in a right triangle
  • Be able to apply right triangle trigonometry to solve real world problems

Pythagorean Triples

Goals: 
  • Can you recognize a Pythagorean Triple
  • Can yon find missing side lengths based on a family of Pythagorean triples
  • Can you state at least three different Pythagorean Triples that are not similar triangles
  • Do you know the Pythagorean Triple Generator Rules

30/60/90 and 45/45/90 Special Right Triangles

Goals
  • Be able to find all three sides and related angle positions based on the location of one side and one angle of a 30/60/90 right triangle.
  • Be able to find all three sides and related angle positions based on the location of one side and one angle of a 45/45/90 right triangle.
  • Know the special ratios between the sides of a 30/60/90 triangle
  • Know the special ratios between the sides of a 45/45/90 triangle
  • Connect the 45/45/90 right triangle to a square
  • Connect the 30/60/90 right triangle to an equilateral triangle
  • Connect the 30/60/90 right triangle to a regular hexagon

Practice 

  • KUTA 45/45/90 Worksheet with answers
  • KUTA 30/60/90 Worksheet with answers
  • Mixed 45/45/90 and 30/60/90 Practice with answers 
  • Squares and their measurements practice
  • ​Equilateral Triangles and their measurements practice

SOHCAHTOA

  • Be able to find the missing side in any right triangle given two of the sides
  • Be able to find the missing angle in any right triangle given two of the angles
  • Be able to find the missing side in any right triangle given one of the sides and one of the acute angles
  • Be able to find the missing angle in any right triangle given two of the sides
  • Be able to state the trigonometric ratios related to a given right triangle
  • Be able to solve for missing sides and angles of a right triangle through the use of SOHCAHTOA
  • Be able to apply SOHCAHTOA to solve real-life application problems



Additional Links and Resources
Right Triangle Resources
Picture
  • KHAN Academy Right Triangles 1
  • KHAN ACADEMY Special Right Triangles
  • ​Khan Academy Link 45/45/90 Triangles ​
  • ​KHAN Academy SOHCAHTOA
Picture
  • Math is fun link right triangles
  • ​Math is fun link Pythagorean Triples
  • ​​Math is fun link Pythagorean Triples 2
  • Math is Fun Link SOHCAHTOA
Polygon Investigation Tools
Picture


Desmos can be used to build dynamic models, tables, etc.
  • Desmos Teacher Activity: Trig Ratios
  • Desmos Teacher Activity: Sine and Cosine Ratios
  • ​DG Side and Hypotenuse Given
  • ​DG Two Legs Given
Picture
  • SOHCAHTOA
  • ​SOH
  • ​INV SOH or ARC sine
  • CAH
  • INV CAH or arc cosine
  • TOA
  • INV TOA or arc tangent
Picture
  • Pythagorean Triple 1
  • Pythagorean Triple 2
  • Pythagorean Triple 3
  • Pythagorean Triple 4
  • Pythagorean Triple 5
  • Special Right Triangles 1
  • Special Right Triangles 2
  • Special Right Triangles 3
  • Special Right Triangles 4
  • Special Right Triangles 5
  • ​Special Right Triangles 6
  • Special Right Triangle 7
  • ​Special Right Triangles 8
  • SOHCAHTOA 1
  • ​SOHCAHTOA 2
  • ​SOHCAHTOA 3
  • SOHCAHTOA 4
  • SOHCAHTOA 5
  • SOHCAHTOA 6
Picture

Special Right Triangles

  • MATHOD Man You Tube Video
  • ​YAY Math You Tube Video​
Picture
Quizizz Snow Day Assignment
  • ​thanks MC
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