Activity Overview
This is part three of a four part series. In this activity students find the points of intersection between consecutive straight lines. (Simultaneous Equations). Students use a range of techniques: by-hand, graphically and using CAS. Students then formulate equations to summaries the consecutive points of intersection.
Objectives
Students use a range of techniques to solve pairs of simultaneous equations in order to determine the consecutive points of intersection for the lines generated in activity two of this series. The techniques include by-hand, simulated by-hand and using the solve command on their calculator. Students observe the patterns in the consecutive points of intersection and connect the dots by establishing an equation.
Vocabulary
- Simultaneous Equations
- Consecutive
- Parameter
- Family of straight lines
About the Lesson
Watch Activity Tutorial
Part Three of a Four Part Series. In this activity students determine the consecutive points of intersection between successive straight lines generated in Parts One and Two of this series. Once students have determined the points of intersection, they establish a mathematical relationship to connect each one. A full series of videos are available for students to watch to assist with completing the activity or activity series.