Virginia SOL 7.MG.3.b.ii
The Standard
Sort and classify quadrilaterals as parallelograms, rectangles, trapezoids, rhombi, and/or squares based on their properties: congruence of angle measures, side, and diagonal lengths
Virginia Standards of Learning for Mathematics · The student will compare and contrast quadrilaterals based on their properties and determine unknown side lengths and angle measures of quadrilaterals.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use side lengths, angle measures, and diagonal lengths to sort quadrilaterals into one or more groups. They compare the properties of parallelograms, rectangles, trapezoids, rhombi, and squares.
What Mastery Looks Like
- Students correctly place a quadrilateral in every category that applies. They justify each choice using specific side, angle, or diagonal measurements rather than how the figure looks.
Common Misconceptions
- Students may treat the categories as separate and miss that a square is also a rectangle, rhombus, and parallelogram. They may call any four-sided figure with equal sides a square or assume every parallelogram has congruent diagonals.
How to Assess It
- Use this exit ticket: “A quadrilateral has four congruent sides, four right angles, and congruent diagonals. Classify it and name two other groups it belongs to.”
Lesson moves
Ways to Teach It
Give groups cardstock quadrilateral cards, rulers, and protractors; have them measure sides, angles, and diagonals, then place cards in overlapping labeled hoops.
Ask, “How can a rhombus fail to be a square?” Students write a claim and support it with angle and diagonal evidence.
Play Property Clue: read one property at a time while teams remove quadrilateral cards that no longer match.
Students photograph a quadrilateral in the school, estimate its class, then measure sides and diagonals to confirm or revise the label.
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