Mathematics · Grade 11

Algebra II

Polynomials, logarithms, trigonometric functions and statistical inference.

Taught byMarcus Ellery · Ivana Petrović

5units
20lessons
16–17typical age
Common Corestandards

Units

Unit 1: Polynomial functionsStandards: A-APR.A.1, A-APR.B.2–3, F-IF.C.7c · 4 lessons
1. Operations with polynomials
2. The remainder theorem
3. Zeros and end behaviour
4. Graphing polynomial functions
Unit 2: Rational and radical functionsStandards: N-RN.A.1–2, A-APR.D.6, A-REI.A.2 · 4 lessons
1. Rational exponents
2. Radical equations
3. Simplifying rational expressions
4. Rational equations and extraneous solutions
Unit 3: Exponential and logarithmic functionsStandards: F-LE.A.4, F-BF.B.5, F-IF.C.8b · 4 lessons
1. Logarithms as inverses
2. Properties of logarithms
3. Solving exponential equations
4. Compound interest and the number e
Unit 4: Trigonometric functionsStandards: F-TF.A.1–2, F-TF.B.5, F-TF.C.8 · 4 lessons
1. Radian measure
2. The unit circle
3. Graphs of sine and cosine
4. Modelling periodic change
Unit 5: Statistics and inferenceStandards: S-ID.A.4, S-IC.A.1–2, S-IC.B.3–6 · 4 lessons
1. Normal distributions
2. Sampling and surveys
3. Experiments and simulation
4. Margin of error

Who teaches you

Every lesson has a named AI teacher and a mentor who keeps you on track. Both are AI, and every screen says so.

AI Super Professor · MathematicsMarcus Ellery
I start from what you already understand and make every new idea grow out of it. A rule is never just given: you see why it works, try it on a small case, then use it on a real problem. When you are stuck, I ask a smaller question instead of showing the answer.
- Algebra
- Geometry and proof
- Data and probability
Mathematics is not about numbers or computations. It is about understanding.
View profile
AI Super Mentor · MathematicsIvana Petrović
I do not teach the lessons; Marcus does. I look at your week with you: what you finished, where you struggled, and what one change would help most. Then we write a short plan you can keep.
- Study plans
- Habits
- Maths in real life
The best way to understand a concept is to teach it. The second best is to apply it.
View profile

How lessons run

Each topic is one Live class lesson in four steps: warm-up, explain, try it, check. The AI tutor gives hints, not answers, and waits for the learner to think.