Mathematics

Algebra II: scope and sequence

Regents Algebra II — the Grade 11 course: functions and their transformations, polynomials, radicals and rational expressions, exponentials and logarithms, series, trigonometry, and inferential statistics.

There is no fixed calendar for this course. The units are written to be taken in order, and most families spend one to two weeks on each.

The units, in order

#	Unit and what it covers	Lessons
1	Composing & Inverting Functions Functions can be bolted together end to end, and any chain can be run backwards.	5
2	Parent Functions & Transformations A handful of basic shapes, moved and stretched, account for almost every graph you will meet.	5
3	Polynomial Operations Add and subtract by collecting like terms. Multiply by making sure every pair meets exactly once.	4
4	Factoring Factoring is multiplication run backwards. Always pull out the common factor first — it makes everything after it easier.	4
5	Dividing Polynomials & the Factor Theorem Dividing polynomials is the long division you already know, and a remainder of zero names a factor.	5
6	Polynomial Functions & Their Graphs The degree and the leading coefficient decide the shape before you plot a single point.	5
7	Solving Quadratic Equations Four methods, one goal. Factoring is fastest when it works; the quadratic formula always works.	5
8	Radicals & Rational Exponents A root is a fractional power. Once you accept that, every exponent rule you know still applies.	4
9	Complex Numbers One new number, $i$, and every polynomial equation finally has a solution.	5
10	Radical Functions & Equations Squaring both sides is legal, and it can still hand you an answer that is wrong.	5
11	Rational Expressions & Equations Fractions with letters in them obey the fraction rules you already know — plus one forbidden value.	5
12	Exponential Functions & Growth Linear growth adds the same amount each step. Exponential growth multiplies by the same amount — and always wins in the end.	5
13	Logarithms A logarithm is the exponent — nothing more, and nothing less.	5
14	Exponential & Logarithmic Models Growth and decay that depend on how much is already there, and the logs that solve them.	5
15	Sequences, Explicit & Recursive A sequence is a function whose inputs are the counting numbers. Describe it from the start, or from the term before.	4
16	Series & Sigma Notation Adding a long list of terms without adding them one at a time.	5
17	Radians & the Unit Circle Measure angles by the arc they cut, and trigonometry escapes the right triangle.	5
18	Graphs of Sine & Cosine Going round in circles, drawn flat, gives a wave — and four numbers describe any wave.	5
19	Trigonometric Identities & Equations One identity comes straight from Pythagoras, and it unlocks nearly every trig equation.	5
20	The Normal Distribution Some measurements cluster in a bell-shaped pattern that a normal distribution can approximate.	5
21	Sampling, Simulation & Inference A well-chosen thousand can speak for millions, provided you admit how far off you might be.	5

Open Algebra II · All courses