2. Trigonometry

The McGraw-Hill Ryerson PreCalculus 11 Text is used as the Main Resource.

Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus text.

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Chapter 2 Trigonometry Outline

2. Trig Review

2.1 and 2.2 Worksheet 

Chatper 2 Trigonometry Concept Review 

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PowerPoint Lesson Plans Digital Resources to Support Visualization and Differentiate Instruction  Description or Discussion

2.1A Angles in Standard Position

2.1B Angles in Standard Postion(exact)

The Seven Mathematical Processes

[C,CN,T,V]

Smart Notebook  2.1 Anges in Standard Position Investigate

TI Nspire File Angles in Standard Positio Rotation.tns

gsp File   Reference Angles

 Students made a 30, 60, 90 triangle and placed it on a grid in standard position. Students reflected their triangle in the x and y axis to visualize how reference angles are related to angles in standard postion.

We also used the special triangle the students folded to discover the exact values of the ratios.

2.2A Trig Ratios (Defind in terms of x,y,r)

2.2B Trig Ratios (Solve for Angle)

The Seven Mathematical Processes

[C,CN,V,R]

Activity in lesson: Creating a special triangle.

Students used their paper triangle on a coordinate grid during the lesson. We reflected the triangle in the y axis and discussed the effect on the sign of the coordinates and the sign of the primary trig ratios. Students discovered rules for signs of primary trig ratios in all four quadrants using reflections in the x and y axis. Students named their rule  "A Smart Trig Class".

2.3A Sine Law ( revisions made)

2.3B Ambiguous Case of Sine Law

The Seven Mathematical Processes

[C,CN,PS, V,T]

TI Nspire File Side Side Angle Ambiguous Case

gsp File  Ambiguous Case

Geogebra File  Ambiguous Case

 The Geometer's Sketchpad file for Ambiguous case allows the length of a to be altered to demonstration the various situations. The number of triangles show up as the length of a is chPnged.

The GeoGebra file is very similar to the GSP file.

2.4 Cosine Law

 

 

 

 

 

 

Last modified: Friday, 22 March 2013, 6:22 PM