Virginia SOL 4.MG.5

4.MG.5 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 4.MG.5.a

  Develop definitions for parallelograms, rectangles, squares, rhombi, and trapezoids through the exploration of properties and attributes.

• 4.MG.5.b

  Identify and describe points, line segments, angles, and vertices in quadrilaterals.

• 4.MG.5.c

  Identify and describe parallel, intersecting, perpendicular, and congruent sides in quadrilaterals.

• 4.MG.5.d.i

  parallel sides

• 4.MG.5.d.ii

  perpendicular sides

• 4.MG.5.d.iii

  congruence of sides

• 4.MG.5.d.iv

  number of right angles.

• 4.MG.5.e

  Denote properties of quadrilaterals and identify parallel sides, congruent sides, and right angles by using geometric markings.

• 4.MG.5.f

  Use symbolic notation to name line segments and angles in quadrilaterals.

01

What Students Need to Do

Students examine sides, angles, and vertices to describe and classify quadrilaterals. They use geometric markings and symbols to show parallel, perpendicular, and congruent sides, right angles, segments, and angles.

02

What Mastery Looks Like

Students classify a quadrilateral from markings or stated properties and explain every valid category it belongs to. They correctly mark and name sides, vertices, angles, parallel sides, perpendicular sides, and congruent sides.

03

Common Misconceptions

Students often think a square cannot also be a rectangle or rhombus. They may confuse parallel with congruent, or name an angle using letters in the wrong order.

04

How to Assess It

Give students a labeled quadrilateral ABCD. Ask them to mark parallel and congruent sides, mark right angles, classify the figure, and name one segment and one angle symbolically.

1. 01

   Give pairs of students craft sticks and right-angle tiles to build, label, mark, and sort five types of quadrilaterals.

2. 02

   Show a square and ask, "Which quadrilateral names fit this figure, and what property proves each name?"

3. 03

   Play Property Match with cards showing quadrilaterals, names, and clues such as two pairs of parallel sides or four congruent sides.

4. 04

   Photograph windows, floor tiles, signs, and tabletops, then label each quadrilateral and list the properties that support its classification.

• 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 ...

• 7.MG.3.b.iii

  Sort and classify quadrilaterals as parallelograms, rectangles, trapezoids, rhombi, and/or squares based on their properties: 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...

• 7.MG.3

  The student will compare and contrast quadrilaterals based on their properties and determine unknown side lengths and angle measures of quadrilaterals.