Four is the perfect number—if you're talking about parallelograms. Scholars determine a possible fourth vertex of a parallelogram in the coordinate plane given the coordinates of three vertices. They read a conversation between classmates and discuss provided reasoning.

Concepts

parallelograms, properties of parallelograms, quadrilaterals, coordinate plane, parallel sides, vertices

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Additional Tags

math

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Instructional Ideas

• Use the resource as an exploratory challenge during a lesson on parallelograms

Classroom Considerations

• Pupils must have experience with parallelograms
• Graph paper may be useful in finding solutions

Pros

• Provides discussion questions to use with pupils
• Describes evidence of mathematical practices that instructors should look for in student work

Cons

• None

Common Core

5.G.B.4 6.G.A.3 7.G.A.2 MP1 MP3 MP5 MP7