Operations with Rational Numbers: Math Unit 2, Grade 7 (Letters & Devotion)

Description

Operations with Rational Numbers is Unit 2 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, 51 pages.

• Additive inverse as a distance-preserving reflection across zero on the number line
• Addition of rational numbers as directed movement on the number line
• The equivalence of subtraction and addition of the inverse (p – q = p + (-q))
• The sign rule for multiplication of rational numbers, derived from a repeated-addition pattern
• Multiplication and division of signed rational numbers, including fractions and decimals
• Fraction-to-decimal conversion via long division, including repeating decimals
• Multi-step rational-number word problems requiring selection of operations without contextual cues
• Justification of a signed-number operation rule using a self-constructed number-line diagram
• The distinction between absolute distance between two rational numbers and signed change from one to another

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.