Number and measure. The student uses process standards in mathematics to apply appropriate techniques, tools, and formulas to calculate measures in mathematical and real-world problems.

PC.4.ADetermine the relationship between the unit circle and the definition of a periodic function to evaluate trigonometric functions in mathematical and real-world problems.PC.4.BDescribe the relationship between degree and radian measure on the unit circle.PC.4.CRepresent angles in radians or degrees based on the concept of rotation and find the measure of reference angles and angles in standard position.PC.4.DRepresent angles in radians or degrees based on the concept of rotation in mathematical and real-world problems, including linear and angular velocity.PC.4.EDetermine the value of trigonometric ratios of angles and solve problems involving trigonometric ratios in mathematical and real-world problems.PC.4.FUse trigonometry in mathematical and real-world problems, including directional bearing.PC.4.GUse the Law of Sines in mathematical and real-world problems.PC.4.HUse the Law of Cosines in mathematical and real-world problems.PC.4.IUse vectors to model situations involving magnitude and direction.PC.4.JRepresent the addition of vectors and the multiplication of a vector by a scalar geometrically and symbolically.PC.4.KApply vector addition and multiplication of a vector by a scalar in mathematical and real-world problems.
Example Problems
The formula for average speed when traveling a distance of d over a time t is:


Bella says, 'I can run
8 miles per hour!' Winston says, 'I can run 700 feet per minute!'

Which one is faster?
The formula for average speed when traveling a distance of d over a time t is:


Helen says, 'I can walk
4 kilometers per hour!' Stefan says, 'I can walk 70 meters per minute!'

Who is faster?
The formula for average speed when traveling a distance of d over a time t is:


Daisy and Eddie are arguing about which one of them is faster.

Daisy says, 'I can bike
9 miles per hour!' and Eddie says, 'I can bike 800 feet per minute!'

Which one is faster?
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