Language+Demands




 * Key Words/Phrases for this lesson **
 * **Slope **
 * **Y-intercept **
 * **Slope-intercept form **
 * **X- and y- axes **
 * **Variables **
 * **Constants **
 * **Equations **
 * **Inequalities **
 * **Systems **
 * **Substitution **
 * **Elimination **
 * **Graphing **
 * **Intersecting **
 * **Parallel **
 * **<span style="font-family: Verdana,Geneva,sans-serif; font-size: 120%;">Coinciding **
 * **<span style="font-family: Verdana,Geneva,sans-serif; font-size: 120%;">Infinite solutions **
 * **<span style="font-family: Verdana,Geneva,sans-serif; font-size: 120%;">No solution **


 * <span style="font-family: Verdana,Geneva,sans-serif; font-size: 120%;">Their importance: **
 * <span style="font-family: Verdana,Geneva,sans-serif; font-size: 120%;">Each of these terms/phrases are important for this lesson because without them students are not going to understand the essence of a linear equation system. Considering that the first method they learn to solve a systems of equation is graphing, students will need to know the make up a linear (slope, y-intercept, slope-intercept form) and how to graph it. Amongst the graphing they will need to be able to recognize the x- and y- axes. Within each equation, they have variables as well as constants. When they graph and manipulate the equations they will see that some lines intersect, some are parallel and once they recognize the solutions to each type of system, they will be introduced to infinite and no solutions. Since we start off with graphing the other terms mentioned above will be addressed later. So the knowledge that they learn in this lesson will serve as prior knowledge for the lesson where they learn how to solve a system through substitution, elimination and even equations that involve inequalities. **


 * <span style="font-family: Verdana,Geneva,sans-serif; font-size: 120%;">Students will be taught all of the terms mentioned in the Academic Language section however they will already have developed their own definitions of the words. As teachers, we would guide them to either come up with a term that signifies what they discovered or simply provide them with the term. This activity is possible for students of all academic backgrounds. For students who are ESL learners, the investigation activity is helpful for them because they are not being told what a particular term means but creating their definition for it, allowing them to be responsible for their own learning. **