Vectors and Matrices: Representing Multi-Part Quantities: Math Unit 6, Grade 12 (Letters & Devotion)

Description

Vectors and Matrices: Representing Multi-Part Quantities is Unit 6 of Precalculus: Functions, Trigonometry, and Mathematical Modeling (Grade 12), the Letters & Devotion Math course, complete in one printable PDF: 11 lessons, the unit check-up and the answer key, 76 pages.

• Vectors as quantities with magnitude and direction
• Vector component resolution using unit-circle trigonometric ratios
• Vector addition and the non-additivity of magnitude
• Resultant vector models of force or velocity
• The boundary between vector-appropriate and vector-inappropriate quantities
• Matrices as organized rectangular data
• Matrix addition, subtraction, and scalar multiplication
• Matrix multiplication and non-commutativity
• The determinant and its relationship to matrix invertibility
• Solving linear systems via matrices
• Translating novel multi-constraint problems into matrix equations

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.