Virginia SOL 7.MG.3.b.iii
The Standard
Sort and classify quadrilaterals as parallelograms, rectangles, trapezoids, rhombi, and/or squares based on their properties: lines of symmetry
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 test quadrilaterals for reflection symmetry and count the lines that divide each figure into matching halves. They use the number and position of those lines to help sort figures into one or more quadrilateral groups.
What Mastery Looks Like
- Students correctly find zero, one, two, or four symmetry lines in a quadrilateral. They use those lines with other visible properties to classify each figure, including figures that fit multiple groups.
Common Misconceptions
- Students may count diagonals as symmetry lines without checking whether the halves match. They may also think every trapezoid has one symmetry line or miss that a square belongs to several groups.
How to Assess It
- Give students five labeled quadrilaterals. Ask them to draw every symmetry line, name all groups each figure belongs to, and justify one choice.
Lesson moves
Ways to Teach It
Give pairs paper quadrilaterals to cut out and fold, then record which folds make matching halves.
Ask students to explain why a rectangle and a rhombus can each have two symmetry lines but remain different shapes.
Play a card sort using quadrilateral pictures, symmetry counts, and category names, with students matching all valid cards.
Photograph windows, signs, and floor tiles, then mark symmetry lines and classify each quadrilateral shown.
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Related Standards
- 7.MG.3.b.i
Sort and classify quadrilaterals as parallelograms, rectangles, trapezoids, rhombi, and/or squares based on their properties: parallel/perpendicular sides and ...
- 4.MG.5
The student will classify and describe quadrilaterals (parallelograms, rectangles, squares, rhombi, and/or trapezoids) using specific properties and attributes.
- 7.MG.3.a.iii
Compare and contrast properties of the following quadrilaterals: parallelogram, rectangle, square, rhombus, and trapezoid: lines of symmetry.
- 7.MG.3.b.ii
Sort and classify quadrilaterals as parallelograms, rectangles, trapezoids, rhombi, and/or squares based on their properties: congruence of angle measures, side...
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