Math6-8
Graphing Inequalities Guided Notes for 6th Grade
By Ashleigh W.
A guided-notes packet that walks 6th graders through graphing one-variable inequalities, from testing solutions with a true-or-false table to marking whole-number solutions on a number line. It builds reasoning about open versus closed circles and why infinitely many decimals can satisfy a statement like x > 3, and it ends with an independent practice section.
Customize for your classroom
Teacher Guide & Tips
- Use this as a 45-minute lesson, working through sections 1 and 2 together as a class before releasing students to the independent practice at the end.
- Discussion question: Why does 3 make x > 3 false, while 3.5 makes it true? What does that tell us about the boundary point?
- Scaffold for struggling readers: Pre-teach the vocabulary 'greater than' and 'solution' with a simple number line, and let students use a sentence frame like 'The number ___ is true because ___ is greater than 3.'
- Extension for advanced students: Ask them to write a compound inequality (such as 2 < x ≤ 7) and predict and justify which whole numbers belong on its graph.
- Estimated time: about 15 minutes for the guided sections and 15 to 20 minutes for independent practice.
Math6-8
Graphing Inequalities Guided Notes for 6th Grade
By Ashleigh W.
A guided-notes packet that walks 6th graders through graphing one-variable inequalities, from testing solutions with a true-or-false table to marking whole-number solutions on a number line. It builds reasoning about open versus closed circles and why infinitely many decimals can satisfy a statement like x > 3, and it ends with an independent practice section.
Customize for your classroom
Teacher Guide & Tips
- Use this as a 45-minute lesson, working through sections 1 and 2 together as a class before releasing students to the independent practice at the end.
- Discussion question: Why does 3 make x > 3 false, while 3.5 makes it true? What does that tell us about the boundary point?
- Scaffold for struggling readers: Pre-teach the vocabulary 'greater than' and 'solution' with a simple number line, and let students use a sentence frame like 'The number ___ is true because ___ is greater than 3.'
- Extension for advanced students: Ask them to write a compound inequality (such as 2 < x ≤ 7) and predict and justify which whole numbers belong on its graph.
- Estimated time: about 15 minutes for the guided sections and 15 to 20 minutes for independent practice.