How Do You Know It's a Rectangle?

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Theme:

Coordinate Geometric Proofs

Grades:

9 - 12

Subject:

Math

Duration:

45 minutes to 1 hour

Standards
& Goals:

New Jersey Core Curriculum Content Standards

Standard 4.2
All students will develop spatial sense and the ability to use geometric properties, relationships and measurement to model, describe and analyze phenomena.

Standard 4.5

All students will use mathematical processes of problem solving, communication, connections, reasoning, representations and technology to solve problems and communicate mathematical ideas.

Objectives:

Thinking Objective: Students will use their knowledge of geometric properties and the slope, distance and midpoint formulas to discover how to prove geometric shapes.

Mastery Objective: Students will be able to prove a quadrilateral is a square, rhombus, rectangle, trapezoid or isosceles trapezoid when given its four vertices.

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