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
Loading resource...

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.

  Print Lesson
20 teachers like this lesson
justice 147214 640
Similar Lessons
What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Building Cat Furniture: An Introduction to Linear Programming
12th Grade Math » Matrices and Systems
Big Idea: Use Legos for an interactive introduction to linear programming!
Troy, MI
Environment: Suburban
Tim  Marley
SUPPLEMENT: Linear Programming Application Day 1 of 2
Algebra I » Systems of Equations and Inequalities
Big Idea: This lesson gives students the opportunity to synthesize what they have learned before they begin to create their own linear programming problems.
Boston, MA
Environment: Urban
Amanda Hathaway
Something went wrong. See details for more info
Nothing to upload