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Insights Into Algebra 1 - Teaching For Learning
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Topic Overview Lesson Plans Student Work Teaching Strategies Resources
Workshop 3 Systems of Equations and Inequalities Student Work
Student Work:

Right Hand/Left Hand Experiment

Linear Programming Assignment
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Tool Box
Journal
Graphing Calculator
Channel-Talk
NCTM Standards


Right Hand/Left Hand Experiment

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Teacher Commentary: Systems of Linear Equations

This is the paper of an 11th grade student with a fairly low math skills level. After class discussion and examination of his paper, I observed that he was able to demonstrate understanding of the major concepts discussed in class today. He was able to make the connection between the slope of his line of best fit and the speed of his writing. He also explained that "when the time is zero, [that] the letters will be zero," and was able to see that this should hold true for both the right hand and left hand data.

During class discussion, he was allowed the time to think through and adjust his answer as he was sharing with the class. His group's conclusion paragraph shows that they were able to understand the three potential scenarios for a linear system: intersecting lines, parallel lines, or two lines sharing the same points. Overall, his work shows an understanding of the lesson objectives. I did notice a fairly common mistake on his paper. For question 3b, he was asked to find an equation for the line of best fit and he forgot to write y = for each equation. This will be something I will need to continue to emphasize.

After reading the students' responses, I feel that this introductory lesson to linear systems went well. Students have been able to identify different scenarios for linear systems and have been able to make a real-world connection. As we continue to explore the systems unit, the students will have a rationale and purpose for learning how to solve a linear system. I plan to continue to discuss applications of linear systems for the second day of the unit. By having students work in groups and investigate and graph a system, they will be able to make important observations and comparisons of two plans. Subsequent lessons in the unit will lead students to learn the algebraic techniques for solving systems, while continuously stressing the connections to the real world.

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