Inequalities (Single-Step & Multi-Step Inequalities)
Description of student activity:
Students will discover the inequality operations of addition, subtraction, multiplication (positive and negative), and division (positive and negative) through thought provoking leading questions. After discovering the operations, they will apply them to single-step and multi-step problems and graph the solutions on provided number lines.
This activity begins with students reading a balance scale on the handout and asking them to choose the correct inequality to represent the scale. Leading questions are then used to have students think about what would happen to the scale if an equal number of apples were added to or removed from both sides of the scale. These questions will lead to students discovering that they can add or subtract an equal number to both sides of an inequality. The same process will be used for students to discover they can multiply or divide a positive number to both sides as well.
Next, they will be given steps to graph the solution on a number line before practicing single-step problems.
Lastly, students will read an explanation for why the inequality sign is flipped when multiplying or dividing by a negative number before practicing multi-step problems.
- Lesson (4 pages)
- Answer Key (4 pages)
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