Lesson Plan : Solving Linear Systems of Equation
Teacher Name: | Wright |
Grade: | Grade 11-12 |
Subject: | Math |
Topic: | Linear Systems of Equations |
Content: | System of equations; Number of solutions: 0, 1, many; Classification of lines, intersecting, parallel, coincidental |
Goals: | Determine the number of solutions to a system of equations and identify the solution(s)by graphing. |
Objectives: | Students will determine the number of solutions to a system of equations. Students will classify the pairs of lines based on the number of solutions. Students will graph systems of equations using graph paper and technology. |
Materials: | Graph paper, graphing calculators, straight edge |
Introduction: | Two students will simultaneously graph different lines using the slope and y-intercept of lines. At least three examples will be performed |
Development: | Students will be reminded about using rise/run and the y-intercept to quickly graph a linear representation of an equation. They will practice putting equations in slope-intercept form. |
Practice: | Students will graph at least two systems on graph paper, followed by at least four using graphing technology. Results will be discussed, including the sometimes difficulty in identifying the point of intersection. |
Accommodations: | Student volunteers graph equations, students use graph paper, students use technology |
Checking For Understanding: | Homework |
Closure: | Students will practice using graphing technology to zoom-in on points of intersection. Discussion about the need for exact answers will lead into tomorrow's lesson on algebraically solving systems of equations. |
Evaluation: | Students can graph systems of linear equations, and identify integral coordinates of points of intersection. Students can also classify the pairs of lines in the system. |
Teacher Reflections: |
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