Proportional Relationships: Math Unit 1, Grade 7 (Letters & Devotion)

Description

Proportional Relationships is Unit 1 of Mathematics 7: Proportional Reasoning and Rational Number Systems (Grade 7), the Letters & Devotion Math course, complete in one printable PDF: 9 lessons, the unit check-up and the answer key, 52 pages.

• Unit rate calculation with fractional quantities
• Constant of proportionality k derived from a table
• Proportional versus non-proportional relationships identified across representations
• The role of the origin in distinguishing proportional from linear-but-non-proportional graphs
• The equation y = kx as a representation of a proportional relationship
• The point (1, r) as the unit rate on a proportional graph
• Multi-step percent problems involving tax, tip, markup, and discount
• The non-commutativity of sequential percent changes applied to an unfamiliar order-of-operations scenario
• Proportionality analysis applied to a pricing structure with a fixed cost, in a context not used during instruction

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.