Grade 12 math, age 17 to 18
Grade 12 mathematics typically encompasses advanced coursework such as Precalculus, AP Calculus, AP Statistics, or advanced algebra and modeling. Students consolidate and apply core algebraic techniques, functions, trigonometry, and coordinate geometry to model complex real-world situations and prepare for college-level mathematics. Instruction focuses on deep fluency with non-linear relationships, systems, and analytic geometry.
Equivalent levels
Topics
Algebra
| Topic | Focus | Codes |
|---|---|---|
| Factoring polynomials | secure | |
| Solving Quadratic Equations | secure | |
| Systems of linear equations | secure | |
| Slope and linear equations | secure |
Geometry
| Topic | Focus | Codes |
|---|---|---|
| Pythagorean Theorem | secure |
Curriculum items
Indicative, from Common Core State Standards. See the official document for the authoritative text.
- Factor quadratic and higher-degree polynomial expressions to reveal roots, symmetries, and key features of functions.
- Solve quadratic equations using factoring, completing the square, or the quadratic formula across various function contexts.
- Solve systems of linear equations and interpret their solutions algebraically and geometrically.
- Use straight-line equations, gradients, and criteria for parallel and perpendicular lines to solve coordinate geometry problems.
- Apply the Pythagorean theorem alongside trigonometric ratios to determine unknown side lengths and angles in modeling contexts.
- Solve systems involving a linear equation and a quadratic equation both analytically and graphically.