Piecewise Functions and Absolute Value Graphs: Math Unit 7, Grade 9 (Letters & Devotion)

Description

Piecewise Functions and Absolute Value Graphs is Unit 7 of Algebra I (Grade 9), the Letters & Devotion Math course, complete in one printable PDF: 8 lessons, the unit check-up and the answer key, 59 pages.

• Piecewise function evaluation at boundary and non-boundary inputs
• Piecewise linear graphs with domain-restricted pieces
• The one-function structure of a piecewise definition despite multiple rules
• Absolute value as a two-piece function, compared against a general piecewise example
• Transformations of f(x) = |x| producing shifted V-graphs
• Piecewise models of tiered real-world rate structures, including boundary-ownership justification
• Selecting and justifying piecewise vs. smooth modeling for a novel step-rate context
• Internal consistency (single-output) errors in a constructed piecewise model

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.