Lessons for this standard
Resources cannot be aligned to this standard, browse sub-standards to find lessons.
More specific sub-standards
Trigonometric ratios are defined as ratios of one side of a right triangle to another. What are radians a ratio of?
This expectation represents advanced (+) work of high school.
Look for and make use of structure.
In high school, students begin their study of trigonometry with right triangles. However, this limits the angles considered to those between 0 degrees and 90 degrees. Later, students expand the types of angles considered, and use the unit circle to make connections between the trigonometric ratios derived from right triangles and those of angles not representable by right triangles. Students learn, by similarity, that the radian measure of an angle can be defined as the quotient of arc length to radius. As a quotient of two lengths, therefore, radian measure is “dimensionless,” explaining why the “unit” is often omitted when measuring angles in radians.
Trigonometry is a component of mathematics unique to high school where the functions standard and geometry standard overlap and support each other. In Grade 8, students understand and apply the Pythagorean Theorem.