Math9-12+
Intro to Slope and Rate of Change Guided Notes
By Adan M.
A guided notes packet for 9th graders introducing slope as rise over run and rate of change through stair-building and graph-reading tasks. It is designed for a 45-to-60-minute portion of a 2-hour block and builds skills in counting vertical and horizontal change, calculating slope, and interpreting steepness in real-world terms.
Customize for your classroom
Teacher Guide & Tips
- Use this as the opening lesson of a new slope unit, working through Part 1 (counting the climb) together as a class before students complete the remaining sections independently or in pairs, which fits comfortably within 45 to 60 minutes.
- Discussion question: If two staircases rise the same height but one covers more horizontal distance, which is steeper, and how would you show that using a number?
- Scaffold for struggling readers: Have them trace each line with a finger or pencil, label the rise and run on the graph, and write the fraction rise/run before simplifying it.
- Extension for advanced students: Ask them to compare a negative slope to a positive one and explain what a negative rate of change would look like on a staircase or in a real situation like a falling temperature.
- Estimated time: About 10 minutes for the warm-up and Part 1, 20 to 25 minutes for the middle sections, and 10 to 15 minutes for the wrap-up and check-for-understanding questions.
Math9-12+
Intro to Slope and Rate of Change Guided Notes
By Adan M.
A guided notes packet for 9th graders introducing slope as rise over run and rate of change through stair-building and graph-reading tasks. It is designed for a 45-to-60-minute portion of a 2-hour block and builds skills in counting vertical and horizontal change, calculating slope, and interpreting steepness in real-world terms.
Customize for your classroom
Teacher Guide & Tips
- Use this as the opening lesson of a new slope unit, working through Part 1 (counting the climb) together as a class before students complete the remaining sections independently or in pairs, which fits comfortably within 45 to 60 minutes.
- Discussion question: If two staircases rise the same height but one covers more horizontal distance, which is steeper, and how would you show that using a number?
- Scaffold for struggling readers: Have them trace each line with a finger or pencil, label the rise and run on the graph, and write the fraction rise/run before simplifying it.
- Extension for advanced students: Ask them to compare a negative slope to a positive one and explain what a negative rate of change would look like on a staircase or in a real situation like a falling temperature.
- Estimated time: About 10 minutes for the warm-up and Part 1, 20 to 25 minutes for the middle sections, and 10 to 15 minutes for the wrap-up and check-for-understanding questions.