In this lesson, students learn how to use algebraic methods to solve fractional inequalities. In my experience many students can identify the general approach and are able to manage initial algebraic steps such as multiplying both sides by the square of the denominator. However, they often struggle with handling critical values, interpreting inequalities correctly, and using set notation in their final answers.
To address these challenges, I’ve created two video tutorials that address the common problems students experience.
Members of mr-mathematics.com can download the complete lesson plan on solving fractional inequalities, including the PDF resources featured in the video tutorials, to use directly in their classrooms.
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Students learn how to solve fractional inequalities algebraically.
Later, as learning progresses, solve inequalities where the numerator is quadratic.
Solving Fractional Inequalities - Part 1
Solving Fractional Inequalities - Part 2
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.
How to teach converting between fractions, decimals and percentages.
Four problem solving lessons to develop student’s mathematical reasoning and communication skills.
