LINR 3 | Lesson 4: Solving Linear Systems with Geometric Applications


Learning Intentions (Objectives)

Students will apply and extend your work with linear systems of equalities and inequalities and connect with geometric concepts.

1) write systems of inequalities to identify shapes in the coordinate plane.

2) calculate area and perimeter of shapes identified either graphically, coordinates of vertices, or systems of equations and/or inequalities.

3) use the Pythagorean Theorem to calculate distances between vertices.

4) use the relationships of slopes to identify and construct pairs parallel or perpendicular lines.

Rationale (Diagnostic Results)

Students often have difficulty using linear systems together with geometric applications, particularly using coordinate geometry and the Pythagorean Theorem to calculate area, perimeter.

Standards Addressed in this Lesson

California Common Core State Standards for Mathematics


Lesson Components


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Go to Explore (Triangles on a Coordinate Plane)