Reflection: Developing a Conceptual Understanding Solving Linear Inequalities - Section 3: Guided Notes + Practice


As students progress through their math careers they will frequently work with numbers that are very very close to each other, but that don’t actually meet. They will explore this concept with asymptotes in Algebra 2 and with limits in precalculus. student’s work with inequalities in lower grades begins the conceptual thinking that students will need to grasps this concept later on.

Many of my students leave middle school with an incorrect misconception that If x>5, the hypothetical first number in in the set is 6. In actuality it is 5.000000000000000000000000000000…….0001.

If x <2, the first number that is allowed in the set is 1.9999999999999999999999999…..999.

When x≤2 the first number that is allowed in the set is 2.

  Numbers that are very, very, very close to each other
  Developing a Conceptual Understanding: Numbers that are very, very, very close to each other
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Solving Linear Inequalities

Unit 7: Linear Inequalities
Lesson 1 of 5

Objective: SWBAT solve linear inequalities and represent their solution on a number line.

Big Idea: Students will apply their knowledge of multi-step equations to solve linear inequalities.

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