Original Promptcreate note on solving 2 step inequalities, include the rules for when multiplying/dividing by a negative you must reverse the sign. include negative and positives and rational numbers
This resource focuses on solving two-step inequalities, providing students with the skills to handle both positive and negative rational numbers. It outlines the objective for students to accurately apply the rule of flipping the inequality sign when multiplying or dividing by a negative number. The advance organizer emphasizes isolating the variable using the reverse order of operations, referred to as SADMEP—first addressing addition or subtraction and then multiplication or division. The document details a crucial rule regarding negative numbers: when both sides of an inequality are multiplied or divided by a negative, the inequality sign must be flipped. This foundational concept is illustrated with worked examples followed by independent practice exercises where students are encouraged to mirror the process. Further sections include error analysis, allowing students to identify mistakes and rectify them, and mastery challenges that involve multi-step inequalities. Additionally, a confidence meter provides insight into how well students grasp the sign-reversal rule.