Virginia SOL 4.MG.5.d.iv
The Standard
number of right angles.
Virginia Standards of Learning for Mathematics · The student will classify and describe quadrilaterals (parallelograms, rectangles, squares, rhombi, and/or trapezoids) using specific properties and attributes.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students test each corner to decide whether it is a right angle. They sort shapes by right-angle count and use that evidence to choose possible names. They explain when angle count alone is not enough.
What Mastery Looks Like
- A student accurately marks right angles even when shapes are rotated. The student explains that squares and rectangles have four right angles, right trapezoids have two, and some quadrilaterals have none.
Common Misconceptions
- Students often judge by appearance and miss right angles when a shape is turned. They may think four right angles always means square, or that every trapezoid has two. Some accept corners that look close to 90 degrees without testing them.
How to Assess It
- Show a square, a non-square rectangle, a slanted rhombus, and a right trapezoid. Students mark each right angle, record the count, and write a possible name.
Lesson moves
Ways to Teach It
Give students quadrilateral cutouts and a paper corner tester, then have them test every vertex, record counts, and sort the shapes.
Ask: A shape has four right angles, so what names might fit, and what other fact would identify a square?
Play Quadrilateral Sort by revealing shape cards and having teams place them under 0, 2, or 4 right angles.
Find quadrilaterals on classroom objects, trace their outlines, mark right angles, and decide which shape names fit.
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Related Standards
- 4.MG.5.e
Denote properties of quadrilaterals and identify parallel sides, congruent sides, and right angles by using geometric markings.
- 1.MG.2.e
Recognize and name the angles found in rectangles and squares as right angles.
- 5.MG.3.c
Identify congruent sides and right angles using geometric markings to denote properties of triangles.
- 5.MG.3.a
Classify angles as right, acute, obtuse, or straight and justify reasoning.
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