14:23
Algebra 2
Algebra 2 widens the lens. Instead of one function family you work with eight, and the tools become general: transformations that apply to any graph, a number system where every polynomial has roots, and logarithms for anything living in an exponent. This is the course that decides how comfortable precalculus and calculus feel.
36 topics · 9 units
36
Topics
Function families, complex numbers, logarithms and the run-up to calculus.
Functions & Transformations
5 topicsThe parent function library and the four moves that generate every other graph from it.
14:23
5:37
Algebra 2
Advanced
Transformations of Functions
Shifts, stretches and reflections — and why horizontal ones feel backwards.
11:58
Algebra 2
Advanced
Practice ready
Piecewise Functions
Different rules on different intervals, and where the dots go.
6:14
Algebra 2
Advanced
Composition of Functions
Feeding one function's output into another, and why order matters.
14:40
Complex Numbers & Quadratics
4 topicsExtending the number system so every quadratic has solutions, and finishing the quadratic toolkit.
5:19
10:15
Algebra 2
Advanced
Practice ready
Quadratics with Complex Roots
What a negative discriminant means, and why the roots come in pairs.
6:14
Algebra 2
Core
Practice ready
Vertex Form
y = a(x − h)² + k, where the vertex is simply handed to you.
2:07
Polynomial Functions
5 topicsDegrees above two: how they behave at the edges, how to divide them, and how to find their roots.
8:10
5:21
Algebra 2
Advanced
Polynomial Long & Synthetic Division
Dividing polynomials, and the shortcut when the divisor is linear.
6:42
Algebra 2
Advanced
Remainder & Factor Theorems
Testing whether something is a factor without dividing all the way.
12:18
Algebra 2
Advanced
Rational Root Theorem
A finite list of candidate roots to test, instead of guessing.
11:12
Rational Expressions & Functions
5 topicsFractions whose parts are polynomials, plus the asymptotes their graphs produce.
7:27
Algebra 2
Core
Simplifying Rational Expressions
Factor first, cancel factors only, and record what x cannot be.
13:14
Algebra 2
Advanced
Multiplying, Dividing, Adding & Subtracting
The fraction rules again, with polynomials in the slots.
3:03
Algebra 2
Advanced
Practice ready
Solving Rational Equations
Clear the denominators, then check for solutions that break the original.
30:16
Algebra 2
Advanced
Graphing Rational Functions
Vertical, horizontal and slant asymptotes, plus holes.
5:30
Radicals & Rational Exponents
3 topicsRoots of every index, written as exponents so all the old rules keep working.
11:52
Algebra 2
Core
Practice ready
nth Roots & Rational Exponents
Why x^(1/2) means √x, and how that unifies two notations.
10:55
Algebra 2
Core
Practice ready
Operations with Radicals
Adding like radicals, multiplying freely, and clearing denominators.
11:09
Algebra 2
Advanced
Solving Radical Equations
Isolate, square, solve — then check, because squaring lies.
Exponential & Logarithmic Functions
4 topicsThe inverse pair that models growth, decay, sound, earthquakes and interest.
9:15
Algebra 2
Core
Introduction to Logarithms
A logarithm is an exponent. That single sentence is most of the topic.
7:05
Algebra 2
Advanced
Properties of Logarithms
Turning multiplication into addition, and powers into coefficients.
4:13
Algebra 2
Advanced
Solving Exponential & Log Equations
Taking logs to reach an exponent, and exponentiating to escape a log.
22:06
Sequences & Series
3 topicsSumming patterns, including infinitely many terms that still add to a finite number.
4:26
Algebra 2
Core
Practice ready
Series & Sigma Notation
Reading Σ, and the formulas for arithmetic and geometric sums.
4:45
Algebra 2
Advanced
Practice ready
Infinite Geometric Series
When adding forever still gives a finite answer.
30:10
Introduction to Trigonometry
3 topicsAngles, the unit circle, and the functions that describe anything that repeats.
10:59
Algebra 2
Core
Right Triangle Trigonometry
SOH-CAH-TOA, and finding sides or angles from one another.
10:50
Algebra 2
Advanced
The Unit Circle & Radians
Extending trig past 90°, and the other way to measure an angle.
18:34
Conics, Matrices & Probability
4 topicsThe remaining Algebra 2 toolkit: curves from slicing a cone, grids of numbers, and counting.
4:20
Algebra 2
Core
Circles & Parabolas as Conics
Centre-radius form, and completing the square to find it.
6:37
Algebra 2
Advanced
Matrices & Their Operations
Grids of numbers, and the surprisingly strict multiplication rule.
17:40
Algebra 2
Advanced
Permutations & Combinations
One question decides which formula you need: does order matter?
26:24
Algebra 2
Advanced
Conditional Probability & Distributions
Updating a probability on new information, and the shape of the normal curve.