Unit 9

Cindy Mummert
Secondary Teacher
Governor Mifflin Senior High School

610-775-5089
cmummert@gmsd.k12.pa.us

Unit 9 -- Right Triangles:  [Click on each link to download.]            Sections 8.2 to 8.7        

Unit 9 Student Learning Map  [02-08-12]

Section 8.2 Notes -- Pythagorean Theorem  [02-08-12]

Section 8.2 Applications of Pythagorean Theorem  [02-13-12]

Section 8.3 Notes  [02-14-12]

Worksheet: Triangle Inequalities -- Homework  [02-15-12]  ** additional directions given in class

Section 8.4 Notes  [02-16-12]

Unit 9 Test #1 warm-ups  [02-21-12 to 02-23-12]

Unit 9 Test #1 Study Guide  [02-22-12]

Sections 8.5 and 8.6 Notes  [02-27-12 and 02-29-12]

Unit 9 Writing Assignment Explanation [03-02-12]  ** Due Monday, March 12th **

Unit 9 Writing Assignment Scoring Rubric [03-02-12]  ** Due Monday, March 12th **

Section 8-7 "Angles in the Park" Trig. WS  [03-06-12]

Section 8-7 Applications of Trig. "Notes"  [03-06-12]

Section 8-7 Trigonometry Applications WS (pages 1-4)  [03-07-12 and 03-08-12]

  

Unit 9 -- Right Triangles:--

Use the links below to practice and review topics from Unit 9.

Section 8.2 -- Pythagorean Theorem: 

http://www.khanacademy.org/video/the-pythagorean-theorem?topic=core-geometry  [video:  good overview and examples; NOTE:  simplify using perfect square instead of method shown]

http://www.youtube.com/watch?v=ku4rEwRxZOc  [video: calculate the hypotenuse -- whole number answer]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/using-the-pythagorean-theorem-to-find-a-missing-hypotenuse-problem-1/  [video:  calculate the hypotenuse -- radical answer; NOTE: simplify using a perfect square -- different method shown on video]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/using-the-pythagorean-theorem-to-find-a-missing-leg-problem-2/  [video:  calculate the leg -- radical answer; application problem; NOTE:  simplify using a perfect square -- different method shown on video]

http://www.youtube.com/watch?v=hN7FG15lIh4&feature=fvwp&NR=1  [video:  application problem -- whole number answer]

http://www.glencoe.com/sec/math/brainpops/00112045/00112045.html  [BrainPop:  movie and quiz]

http://www.regentsprep.org/Regents/math/ALGEBRA/AT1/PracPyth.htm  [website:  interactive practice with Pythagorean Theorem] 

Section 8.3 -- Converse of Pythagorean Theorem: 

http://www.youtube.com/watch?v=J5IP-OPG8Ck  [video: classify triangles as acute, right, obtuse, or not possible]

http://www.youtube.com/watch?v=sGutWLdcy9k  [video:  classify triangles as acute, right, or obtuse; examples with radical side lengths]

http://www2.hoover.k12.al.us/schools/hhs/faculty/ROBISONA/Documents/9.3%20PowerPoint.ppt#283,17,Video  [powerpoint: classify triangles and application]

http://www.mathsisfun.com/pythagorean_triples.html  [website:  Pythagorean Triples]

Section 8.4 -- Special Right Triangles:  

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/30-60-90-triangles/  [video: explains concept of 30-60-90 triangles]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/30-60-90-triangles-problem-1/  [video:  problem #1 with 30-60-90 triangles; given the short leg]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/30-60-90-triangles-problem-2/  [video:  problem #2 with 30-60-90 triangles; given the long leg]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/30-60-90-triangles-problem-3/  [video:  problem #3 with 30-60-90 triangles; given the hypotenuse]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/45-45-90-triangles/  [video:  explains concept of 45-45-90 triangles]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/45-45-90-triangles-problem-1/  [video:  problem #1 with 45-45-90 triangles; given the leg]

http://www.brightstorm.com/math/trigonometry/pythagorean-theorem/45-45-90-triangles-problem-2/  [video:  problem #2 with 45-45-90 triangles; given the hypotenuse] 

Section 8.5 -- Tangent Ratio: 

http://www.khanacademy.org/video/basic-trigonometry?topic=trigonometry  [video: great explanation of tangent, sine, and cosine ratios]

http://www.youtube.com/watch?v=_S35Ht4imhs  [video:  SOH-CAH-TOA explanation]

http://www.brightstorm.com/math/geometry/basic-trigonometry/trigonometric-ratios-tangent/  [video:  write tangent ratios]

http://www.brightstorm.com/math/geometry/basic-trigonometry/trigonometric-ratios-tangent-problem-1/  [video:  calculate a side using tangent]

http://www.stevenseow.com/tutorials/FindingAngleUsingTangent.html  [website:  calculate an angle using tangent] 

Section 8.6 -- Sine and Cosine Ratios: 

http://www.khanacademy.org/video/basic-trigonometry?topic=trigonometry  [video:  great explanation of tangent, sine, and cosine ratios]

http://www.youtube.com/watch?v=_S35Ht4imhs  [video:  SOH-CAH-TOA explanation]

http://www.brightstorm.com/math/geometry/basic-trigonometry/trigonometric-ratios-tangent-problem-1/  [video:  calculate a side using cosine]

http://www.youtube.com/watch?v=5zNaRGvaxZk  [video:  calculate a side using sine]

http://www.videojug.com/film/using-sin-cos-or-tan-to-find-and-angle-in-trigonometry  [video:  calculate an angle using sine or cosine]

http://www.mathsisfun.com/algebra/trig-finding-angle-right-triangle.html  [website:  good examples of sine, cosine and tangent; interactive quiz at bottom of page --  "Your Turn"]

Section 8.7 -- Applications of Trigonometry: 

http://www.brightstorm.com/math/trigonometry/basic-trigonometry/angle-of-elevation-and-depression/  [video:  explanation of angle of elevation and angle of depression]

http://www.brightstorm.com/math/trigonometry/basic-trigonometry/angle-of-elevation-and-depression-problem-1/  [video:  angle of depression word problem]

http://www.algebralab.org/Word/Word.aspx?file=Trigonometry_AnglesElevDepression.xml  [website:  angle of elevation problems with explanation and practice questions]

http://www.pendragoncove.info/geometry/Lesson%207-5.ppt  [powerpoint:  good trig. review; great examples of angle of elevation/depression problems; examples to try; disregard HW assignment at end]

 

 

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