Pre-Calculus 11 Trigonometry
Specific Curriculum Outcomes
T01 Demonstrate an understanding of angles in standard position [0° to 360°].
T02 Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position.
PC12T01 Demonstrate an understanding of angles in standard position, expressed in degrees and radians.
PC12T02 Develop and apply the equation of the unit circle.
T01 Demonstrate an understanding of angles in standard position [0° to 360°].
T02 Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position.
PC12T01 Demonstrate an understanding of angles in standard position, expressed in degrees and radians.
PC12T02 Develop and apply the equation of the unit circle.
T01 and T02 Activities
- Special Right Triangles from Kate Nowak - Folding a US dollar bill to find an equilateral triangle. I wonder if this works with Canadian Tire Money? You could also use money from different countries to find the ratios of width to length.
- Making Sixty from NRICH Mathematics - Paper folding to create 60 and 30 degree angles.
- Rock, Paper, Triggers from Bowman Dickson - Each person secretly picks a trig function (Sine, Cosine or Tangent) for themselves, and an angle to send to the other person. Then, once ready, both reveal and each person thinks about… TheirFunction(AngleSentToThem). Whoever’s value is higher wins. No need for exact values, just figure out which one is bigger (and DNE automatically loses). This is really good for number sense (no calculators), for thinking about what values of the different functions are possible, and where those values are on the unit circle.
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PC12T01 and PC12T02 Activities
- Radians and Degrees War from Sarah Carter - Students mentally compare angle measurements in radians and degrees using the format of the classic card game of War and a special set of cards.
- A Prelude to Unit Circle Trigonometry from Sam Shah - Sam describes an activity to prepare students to understand the unit circle. Instead of starting with a circle, he primes students with thinking about x and y coordinates for other shapes. In this case he used a square, a rotated square and a triangle. Some very interesting graphs result.
- Trig War from Sam Shah - War with trig unit circle expressions.