Honors
Algebra II · Honors · High school · Math
Topics typically covered in Algebra II · Honors, grouped by unit. Click a topic for the full text and study materials — the same components as K–12 standards pages.
Standards
Click a standard for the full text and study materials.
Sequences and functions
- 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.
Polynomial functions
- 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.
- 2.7 — Remainder and factor theorems. Prove and apply the remainder and factor theorems; factor higher-degree polynomials.
Rational and radical relationships
- 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.
- 3.6 — Partial fractions (intro). Decompose simple rational expressions into partial fractions.
Complex numbers and quadratics
- 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.
Exponential and logarithmic functions
- 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.
- 5.6 — Change of base and continuous models. Use change-of-base; deepen continuous-growth models with e and ln.
Transformations of functions
- 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.
Trigonometric functions
- 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.
- 7.5 — Other trig functions and identities (intro). Graph tangent; use basic Pythagorean identities.
Statistical inference (intro)
- 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.
- 8.4 — Use simulations to estimate sampling variability. Use simulations to estimate the variability of statistics across random samples.
- 8.5 — Support informal inferences. Use sample statistics and simulation results to support informal population inferences.
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$986 · Algebra II · Honors · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.