Algebra II

High school · Math

Curriculum programs

Click a standard for the full text and study materials.

1.1 — Identify sequence types. Classify sequences as arithmetic, geometric, or neither from their terms or formulas.
1.2 — Explicit formulas. Write and evaluate explicit formulas for arithmetic and geometric sequences.
1.3 — Treat sequences as functions on integer domains. Represent sequences as functions whose domains are subsets of the integers.
1.4 — Exponential models. Build and interpret exponential models for growth and decay situations.
1.5 — Finite series (intro). Compute sums of finite arithmetic and geometric series in modeling contexts.

2.1 — Identify end behavior and zeros. Identify polynomial zeros and end behavior from equations and graphs.
2.2 — Multiplicity from factored forms. Read zeros and their multiplicities from factored polynomial forms.
2.3 — Polynomial arithmetic and identities. Add, subtract, multiply polynomials; use key polynomial identities.
2.4 — Polynomial division. Divide polynomials; relate factors to zeros (remainder/factor theorems at intro level).
2.5 — Sketch polynomials from factored form. Sketch polynomial graphs from their factors, zeros, multiplicities, and end behavior.
2.6 — Key features of polynomials. Analyze polynomial graphs for zeros, extrema, intervals of change, and end behavior.

3.1 — Simplify rational expressions. Factor and simplify rational expressions while stating excluded values.
3.2 — Check extraneous roots. Identify and discard extraneous solutions when solving radical or rational equations.
3.3 — Identify asymptotes. Identify vertical, horizontal, and oblique asymptotes of rational functions.
3.4 — End behavior of simple rational functions. Determine the end behavior and horizontal asymptotes of simple rational functions.
3.5 — Radical equations and rational exponents. Solve radical equations; rewrite roots with rational exponents.

4.1 — The imaginary unit and complex numbers. Define i; add, subtract, and multiply complex numbers.
4.2 — Complex solutions of quadratics. Solve quadratics with non-real solutions; interpret in the complex plane (intro).
4.3 — Completing the square and the quadratic formula. Solve any quadratic completely over the complex numbers.

5.1 — Model continuous growth. Model continuous growth and decay using exponential functions with base e.
5.2 — Discrete growth. Model quantities that grow or decay by a constant factor over discrete intervals.
5.3 — Define logarithms. Define logarithms as inverses of exponential expressions and convert between equivalent forms.
5.4 — Power rules for exponents. Apply power, product, quotient, and negative-exponent rules to simplify expressions.
5.5 — Exponential and logarithmic models. Fit and interpret exponential and log models; introduce e for continuous growth.

6.1 — Apply translations, reflections, and stretches. Apply translations, reflections, stretches, and compressions to function graphs.
6.2 — Compressions of parent functions. Describe horizontal and vertical compressions of parent function graphs.
6.3 — Combining transformations. Build graphs of transformed functions from known parent graphs.
6.4 — Function composition and inverses. Compose functions; find inverses when they exist.

7.1 — Unit circle and radian measure. Define sine and cosine via the unit circle; convert between degrees and radians.
7.2 — Graph sinusoidal functions with amplitude and period. Graph sinusoidal functions and identify their amplitude and period.
7.3 — Phase shift. Determine and interpret the horizontal phase shift of sinusoidal functions.
7.4 — Modeling periodic phenomena. Fit simple sinusoidal models to periodic contexts.

8.1 — Normal distributions and data. Use normal models to describe distributions.
8.2 — Interpret samples and variability. Interpret how estimates vary among random samples drawn from the same population.
8.3 — Informal margin-of-error ideas. Use informal margin-of-error reasoning to describe uncertainty in sample estimates.

Parallel materials covering overlapping topics — not the same as this course page.