Mathematics · Suggested grades 9–10

Algebra I
Course map.

Connect quantities, expressions, equations and functions. Build models and explain what a solution means in context.

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

Before this course

Operate with rational numbers.
Use proportional reasoning and solve simple equations.

Where it can lead

Supports geometry, Algebra II and quantitative reasoning in science and everyday decisions.

A suggested progression

Expressions and equations
Linear relationships and models
Quadratic patterns and interpretation

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: Expressions and equivalent equations

Interpret quantities before solving for unknown values.

Before this unit: Rational arithmetic Distributive property

Interpret a Cost Expression35 minutes · HSA.SSE.A.1.a
Linear Equations and a Parameter35 minutes · HSA.REI.B.3

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Unit 2: Linear models and simultaneous constraints

Connect rates, tables and systems to practical choices.

Before this unit: One-variable equations Coordinate graphs

Two Constraints at a Market Stall35 minutes · HSA.REI.C.6
Average Change in a Delivery Model35 minutes · HSF.IF.B.6

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Unit 3: Quadratics and discrete patterns

Use factors and recursive rules to describe change.

Before this unit: Linear functions Exponent basics

Quadratic Roots and a Frame Design35 minutes · HSA.REI.B.4.b
Arithmetic and Geometric Sequences35 minutes · HSF.BF.A.2

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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.