Mathematics
- Algebra I →Suggested: Grades 9–10
- Geometry →Suggested: Grades 9–11
- Algebra II →Suggested: Grades 10–12
- Precalculus and Trigonometry →Suggested: Grades 11–12
- Statistics and Probability →Suggested: Grades 10–12

High School Curriculum Explorer · Grades 9–12
See what a course builds on, follow a suggested unit path and practice a useful skill. For students, families, homeschoolers, tutors and teachers.
Suggested pathways · Selected standards contributions · No calculus
A starter map, with no accreditation or graduation credit.
Connect the ideas.
Explain the reasoning.
Subject → Course → Unit → Lesson
Each course has six lessons in three suggested units. Grade ranges guide placement; they are not universal requirements.
Focus on one useful skill
Visual Arts
Suggested grades 9–12 · Unit 1: Composition and Space
Design and compare two original composition thumbnails using contrast rather than extra decoration.
▷ 2 teacher video choices: Make a Focal Point With ValueGoal: Produce two thumbnails and justify a focal hierarchy with three specific visual observations.
Before this: Recognize light, middle and dark values.
Try together: Together compare the two thumbnails and name one competing contrast. Ask a clarifying question before offering a change.
Visual Arts
Suggested grades 9–12 · Unit 1: Composition and Space
Construct an original gallery interior and explain which lines follow the perspective model.
▷ 2 teacher video choices: Build and Question a One-Point SpaceGoal: Draw a gallery with a horizon, vanishing point and three correctly directed depth edges.
Before this: Identify horizontal, vertical and diagonal lines.
Try together: Together mark depth-direction edges with one symbol and front-facing edges with another. Explain the classification before correcting any line.
Visual Arts
Suggested grades 9–12 · Unit 2: Meaning and Accessible Design
Use an original three-panel sequence to test how visual evidence supports different readings.
▷ 2 teacher video choices: Tell a Story Without Explaining Every DetailGoal: Create a sequence with a repeated motif and justify two possible interpretations using panel details.
Before this: Describe shapes, scale and arrangement.
Try together: Together compare one interpretation based on a visible feature with one based only on an invented event outside the panels.
Visual Arts
Suggested grades 9–12 · Unit 2: Meaning and Accessible Design
Design a paper wayfinding system using labels, shapes and contrast rather than color alone.
▷ 2 teacher video choices: Make a Message Readable in More Than One WayGoal: Create two route signs and evaluate them against three stated communication criteria.
Before this: Recognize a legend and directional arrow.
Try together: Together audit a proposed sign “B □ Workshop ←” against the three criteria and ask what a first-time visitor might still need.
Visual Arts
Suggested grades 9–12 · Unit 3: Critique and Curation
Practice a structured critique of an original still-life plan and revise a claim after considering alternatives.
▷ 2 teacher video choices: Separate Observation From an Art ClaimGoal: Support an interpretation with three visual details and distinguish descriptive, interpretive and evaluative statements.
Before this: Describe line, value, space and composition.
Try together: Together sort “a crack appears,” “the scene suggests fragility” and “the sparse arrangement serves the intended mood” into observation, interpretation and criterion-based evaluation.
Visual Arts
Suggested grades 9–12 · Unit 3: Critique and Curation
Select and sequence original works to support a curatorial argument rather than merely display everything.
▷ 2 teacher video choices: Curate a Small Exhibition With a ClaimGoal: Produce a three-work exhibition plan and a revised statement supported by evidence from each selection.
Before this: Understand composition, critique and revision.
Try together: Together compare two possible orders and explain what each makes viewers notice before and after a work.
Earlier high school starter lessons with teacher video choices →