Science · Suggested grades 11–12

Physics — Algebra and Trigonometry
Course map.

Model motion, interactions and energy using algebra, graphs and right-triangle reasoning.

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/II equation and graph skills.
Geometry and basic trigonometric ratios.

Where it can lead

Supports engineering and quantitative science through supplied data and conceptual models. No hazardous electrical or flame-based investigations are included.

A suggested progression

Motion and forces
Energy and momentum
Waves and model evaluation

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: Motion and Momentum

Use algebraic models to analyze motion changes and momentum transfers.

Before this unit: Solve linear equations and interpret signed quantities.

Connect Net Force With a Velocity Change35 minutes · HS-PS2-1 · RST.11-12.1
Use Signs in a Momentum Account40 minutes · HS-PS2-2 · RST.11-12.1

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Unit 2: Energy and Waves

Construct energy accounts and relate wave quantities using algebra.

Before this unit: Use squares, square roots and units.

Account for Energy With a Repeatable Algorithm35 minutes · HS-PS3-1 · RST.11-12.1
Read Frequency, Wavelength and Speed Together40 minutes · HS-PS4-1 · RST.11-12.1

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Unit 3: Fields and Collision Design

Compare inverse-square interactions and evaluate force-reducing designs.

Before this unit: Use proportional reasoning and interpret a vector direction.

Predict an Electric-Force Ratio35 minutes · HS-PS2-4 · RST.11-12.1
Reduce Force by Changing Stopping Time40 minutes · HS-PS2-3 · RST.11-12.1

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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.