Alberta Math 30

The three streams of Math that began with Math 20 continue into Math 30. Students are permitted to swap between the -1 and -2 streams (mostly if their grades justify it), but students in the -3 stream are stuck there.

Math 30-1:

The -1 stream comes to an end with some brand new concepts, which can make it challenging. There's 3 units, one of them is huge:

Perms & Combs:

Some students like this unit, some students hate it. We discuss how to properly count the number of possible outcomes for combinations and for permutations, we use the fundamental counting principle and Pascal's triangle and learn about factorials. What can make this unit hard is that the answers are NOT intuitive, students must trust that they are doing the right thing.

Functions:

This is the huge one: we explore familiar functions in more depth, like rational expressions, exponential functions, quadratics and polynomials, and learn new ones like logarithms, the sine function, the cosine function, the tangent function and inverse functions. There's lots of stuff, but the same basic concepts are recurring and it's mirrored pretty closely in Math 30-2.

Trigonometry:

We take trigonometry to a whole other level. We learn about radians, special triangles, and then we go nuts with trigonometric identities. Students tend to struggle with identities, mostly because of weak algebra skills. Algebra used to be a mean to it's own end, while now it is a tool.

Math 30-2:

The -2 stream comes to an end with some brand new concepts (the same ones from Math 30-1, just not as in depth), which can make it challenging. There's 2 units, but one of them is HUGE:

Perms & Combs:

Some students like this unit, some students hate it. We discuss how to properly count the number of possible outcomes for combinations and for permutations, we use the fundamental counting principle and learn about factorials. What can make this unit hard is that the answers are NOT intuitive, students must trust that they are doing the right thing.

Functions:

This is the huge one: we explore familiar functions in more depth, like rational expressions, exponential functions, quadratics and polynomials, and learn new ones like logarithms, the sine function, cosine function and tangent function. There's lots of stuff, but the same basic concepts are recurring and it's mirrored pretty closely by Math 30-1.

Math 30-3:

We're wrapping up the -3 stream by catching students up with concepts the -1 and -2 stream covered at the 20-level. There's 4 units:

Series & Sequences:

We cover what they are and how to solve them. There's a few definitions to know and a few formulas to apply. It's simple, the students just need to focus. Other students would have learned this in Math 20-1.

Trigonometry:

We cover the Sine Law, the Cosine Law, Pythagoras, triangles and transformation. Math 20-1 and Math 20-2 stuff.

Statistics:

We cover means and such, as well as probabilities, accuracy, precision, uncertainty, tolerance and regression. A lot of this is covered in Math 20-2.The calculator is doing most of the work here.

Personal Finance:

We cover interest rates, leasing and financing. Real life stuff, but unfortunately students are only taught to go through the motions and solve problems, they're not really taught on which one to choose (to finance the purchase of a car or to lease one).