Linear Inequalities and Absolute Value: Math Unit 3, Grade 9 (Letters & Devotion)

Description

Linear Inequalities and Absolute Value is Unit 3 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, 55 pages.

• The sign-reversal rule when multiplying or dividing an inequality by a negative number
• The geometric reason the inequality direction reverses under multiplication by a negative number
• Compound inequalities joined by ‘and’ or ‘or’
• The equivalence between absolute-value-distance statements and compound inequality statements
• Case-splitting procedure for absolute value equations, including the no-solution and one-solution conditions
• The and/or branching rule for absolute value inequalities based on the inequality direction
• Systems of linear inequalities and their graphed solution (feasible) region
• Systems of inequalities combined with absolute value constraints in an unfamiliar applied context

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.