Virginia SOL 7.MG.3.b.i
The Standard
Sort and classify quadrilaterals as parallelograms, rectangles, trapezoids, rhombi, and/or squares based on their properties: parallel/perpendicular sides and diagonals
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 identify which sides or diagonals are parallel or perpendicular from markings, measurements, or descriptions. They use those relationships to place each figure in every class that fits and explain why.
What Mastery Looks Like
- A student reads arrow and right-angle marks correctly, then gives all valid names for a figure. The student supports each choice with a side or diagonal relationship rather than relying on appearance.
Common Misconceptions
- Students often give only the most specific name, so they miss that a square also fits other classes. They may judge by orientation, call any slanted figure a trapezoid, or confuse equal-length marks with parallel arrows. Some assume every parallelogram has perpendicular diagonals.
How to Assess It
- Give students a marked square and ask them to list every valid quadrilateral name. Require one property as evidence for each name.
Lesson moves
Ways to Teach It
Have pairs sort marked quadrilateral cards into overlapping hoops, then move each card as they explain which side or diagonal markings justify it.
Show a square and ask, “Which names fit this figure, and what property proves each name?”
Play property-clue bingo by calling clues such as two opposite side pairs are parallel, while students cover every matching class.
Students use a ruler and set square on photos of windows, tiles, and signs, then classify each outlined shape from measured relationships.
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