Understanding and Solving Inequalities

サイト: Young Education
コース: Linear Equations and Inequalities
ブック: Understanding and Solving Inequalities
印刷者: Guest user
日付: 2026年 09月 25日(金曜日) 03:22

1. Introduction to Inequalities

Learning outcomes
  • I can distinguish between equations and inequalities.
  • I can interpret inequality symbols correctly.
  • I can represent inequalities using mathematical notation.
  • I can identify solution sets for simple inequalities.
  • I can represent inequalities on a number line.

2. Solving One-Step Inequalities

Learning outcomes
  • I can solve inequalities involving addition and subtraction.
  • I can solve inequalities involving multiplication and division.
  • I can represent solutions graphically on a number line.
  • I can verify solutions by substitution.
  • I can explain the meaning of inequality solutions.

3. Solving Multi-Step Inequalities

Learning outcomes
  • I can simplify inequalities by combining like terms.
  • I can solve multi-step inequalities using inverse operations.
  • I can correctly reverse inequality signs when multiplying or dividing by negative numbers.
  • I can represent solution sets using interval notation and number lines.
  • I can verify solutions using substitution.

4. Compound Inequalities

Learning outcomes
  • I can distinguish between "and" and "or" compound inequalities.
  • I can solve compound inequalities involving multiple conditions.
  • I can represent compound solutions graphically.
  • I can interpret compound inequality solution sets.
  • I can apply compound inequalities to practical situations.

5. Applications of Inequalities

Learning outcomes
  • I can create inequalities from real-world situations.
  • I can model constraints using inequalities.
  • I can solve inequality-based word problems.
  • I can interpret solution regions in context.
  • I can evaluate whether solutions satisfy given conditions.