Mathematics · Suggested grades 10–12

Algebra II
Course map.

Extend algebraic structure and compare function families. Interpret solutions and choose sensible models and domains.

Grade ranges and the sequence below are suggestions, not graduation requirements. Choose by readiness and your school’s course plan.

Before this course

Algebra I skills with equations, graphs and functions.
Basic geometric measurement and exponent rules.

Where it can lead

Prepares for precalculus, statistics and mathematical modeling. Course mappings are instructional choices within conceptual-category standards.

A suggested progression

Polynomial structure and equations
Rational and exponential relationships
Function comparison and sequences

Six starter mini-lessons sample selected skills. This is not a full year of daily instruction, complete standards coverage, an accredited course or graduation credit. Grade placement and unit order are planning guidance, not requirements.

Unit → Lesson

Your learning path

3 units · 6 starter lessons

Unit 1: Polynomial and rational structure

Rewrite expressions while preserving their domains.

Before this unit: Algebra I factoring Exponent rules

Polynomial Operations and an Area Model35 minutes · HSA.APR.A.1
Rational Expressions as Quotient and Remainder35 minutes · HSA.APR.D.6

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Unit 2: Complex solutions and exponential models

Extend familiar equations and interpret inverse operations.

Before this unit: Quadratic equations Function notation

Quadratics with Complex Solutions35 minutes · HSN.CN.C.7
Exponential Models and a Logarithmic Solution35 minutes · HSF.LE.A.4

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Unit 3: Combining and reversing functions

Track intermediate values and solve inverse relationships.

Before this unit: Linear and nonlinear functions

Composition and the Order of Operations35 minutes · HSF.BF.A.1.c (+)
Inverse Functions as Reversing a Rule35 minutes · HSF.BF.B.4.a

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A course map. A practical starting point.

These 138 original mini-lessons sample 23 courses for grades 9–12. They do not provide a full year of daily lessons, complete standards coverage, accredited courses or graduation credit. Suggested grade ranges, prerequisites and unit order are planning guidance; school pathways and elective availability vary. Calculus is excluded.

Subject-content contribution identifies a selected math, English, science or world-language skill. Common Core high school math uses conceptual categories, not universally assigned courses or grades. Mapping a skill to a course is an instructional choice. (+) Additional preparation identifies standards the official source marks for advanced study.

English uses the 9–10 and 11–12 bands; there are no separate Common Core English 9, 10, 11 or 12 codes. NGSS references identify the high school band and partial performance-expectation contributions.

Supporting Common Core literacy connection applies only to an actual reading, writing or communication activity. It does not establish science, social studies or elective subject-content alignment. Unverified subject-content mappings are labeled explicitly.

Spanish uses World-Readiness language standards, identified by their official names in the current summary. Common Core does not measure Spanish proficiency. Supported lesson practice is distinct from an independently assessed proficiency rating and from the course title.

Use North Carolina’s Standard Course of Study ↗ for local planning. No NC alignment is claimed without a verified crosswalk. Each mapping links to official wording, records its verification date and explains the part practiced.