Understand the definition of Sine, Cosine and Tangent in the right-angled triangle; and in the unit circle, including the geometric properties.

Be able to compute the values of Sine, Cosine and Tangent for a given angle; and the values of Arcsine, Arccosine and Arctangent for a given ratio.

Know the values of Sine, Cosine and Tangent for special angles (e.g. 0, 30, 45, 60, 90, 180, 270 degrees, etc.) 

Be able to switch from degrees to radians for a given angle and vice versa.

Understand the periodicity of Sine, Cosine and Tangent.

Be able to use Sine, Cosine and Tangent within geometric constructions.

Be able to compute the area of a sector and the segment for a given circle by using the Sine of the central angle.

Know the planimetric properties of right-triangles, isosceles triangles, equilateral triangles, circles, trapezoidals and parallelograms and be able to use them within the context of trigonometry.

Know the properties of a bisector, median and altitude for a given triangle and be able to use them in the context of trigonometry.

Know the altitude theorem and the theorem of sides for a right-triangle and be able to use them within the context of trigonometry.

Being able to convert an angle from degrees to radians and vice versa, and knowing the geometric meaning of radian measure on the unit circle.

Understanding sine, cosine, and tangent as functions and being able to handle them, knowing the domain and range of these functions, knowing the periodicity of these functions,.

Knowing and being able to draw the graphs of sine, cosine, and tangent, being able to justify the course of the graphs using the unit circle, knowing the symmetry properties of the graphs, knowing the concepts of "even" and "odd" functions, describing and graphically representing the zeros of these functions.

Understanding and being able to reproduce the relationship between sine and cosine using the congruence properties of the graphs, knowing and being able to justify the asymptotic behavior (singularities) of the tangent function in connection with the unit circle.

Understanding and being able to apply stretching/compression in the x- and y-direction and shifting in the x- and y-direction of the sine and cosine functions, being able to construct the equation of a function from a given stretched/compressed and shifted graph of a sine or cosine function, being able to determine the parameters responsible for stretching/compression and shifting from a function equation.

Being able to solve application problems related to trigonometric functions in the form of word problems.

Knowing and being able to handle the power laws for integer exponents, knowing and being able to handle the power laws for rational exponents.

Knowing the definition of a power function, knowing the domain and range of power functions depending on the base and the exponent.

Being able to draw the graph of a power function, knowing the terms "nth order parabola" and "nth order hyperbola" and being able to classify them based on a graph or a function equation, knowing the symmetry behavior of the graphs, understanding the asymptotic behavior for certain exponents, understanding the shifting of power functions in the x- and y-direction both graphically and algebraically.

Being able to construct the function equation of a power function through knowledge of points on the graph and properties.

Understanding root functions (nth roots) as power functions, knowing their properties and being able to handle them, understanding why nth roots of negative numbers exist for odd n and do not exist for even n.

Knowing the definition of polynomial functions, being able to determine the order of a polynomial function, being able to determine the coefficients of a polynomial function, determining whether a given function is a polynomial function.

Being able to solve application problems related to power functions in the form of word problems.