Geometry - Graphing Special Lines-Parallel and Perpendicular-Two Investigations
Description
This activity contains two investigations.
First Investigation:
• On the graph provided, students graph each of the pairs of points and draw a line through the pair of points.
• The students study the two lines and conjecture that the two lines are parallel.
• Then the students find the slope of the two given lines to notice that when the lines were parallel the slope of the two lines are equal.
• Students repeat these three steps with four more points.
• After students know that two parallel lines will have the same slope, they are challenged to draw one line and then through a point they must graph a line second line that is parallel to a given line.
Second Investigation;
• On the graph provided, students graph each of the pairs of points and draw a line through the pair of points.
• The students study the two lines and conjecture that the two lines are perpendicular.
• Then the students find the slope of the two given lines to notice that when the lines were perpendicular the slope of the two lines are opposite reciprocals.
• Students repeat these three steps with four more points.
• After students know that two perpendicular lines will have slopes that are opposite reciprocals, they are challenged to draw one line and then through a point they must graph a line second line that is perpendicular to a given line.
A complete set of solutions are included.
Comments from buyers:
- Great supplement activity!
- Great material
- good investigation
- This is a concept that for some reason my Algebra 1 students struggle with. However, with investigating the topic, they do learn the concept better than just with the regular lesson.
