MA.912.A.3.13Archived Standard

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Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with and without technology.

Remarks

Example 1: Graph 3y - x = 0 and 2x + 4y = 15 on the same coordinate system. Determine whether the lines intersect. If so, find the point of intersection.

Example 2: Graph the following inequalities and shade the region (if any) on the coordinate plane where both inequalities are true: y ≤ 4 and x + y ≤ 5

Example 3: Approximate the solution, if any, for the following system of linear equations:

Example 4: Explain why (4,-3) is a solution to the following system of inequalities:

General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Linear Equations and Inequalities - Solve linear equations and inequalities.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes

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Problem-Solving Task

MIT BLOSSOMS - The Broken Stick Experiment: Triangles, Random Numbers and Probability:

This learning video is designed to develop critical thinking in students by encouraging them to work from basic principals to solve a puzzling mathematics problem that contains uncertainty. One class session of approximately 55 minutes is necessary for lesson completion. First-year simple algebra is all that is required for the lesson, and any high school student in a college-preparatory math class should be able to participate in this exercise. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities.

Type: Problem-Solving Task

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