4.6

4.6 is a knowledge and skills statement. These are the student expectations under it.

• 4.6.A

  identify points, lines, line segments, rays, angles, and perpendicular and parallel lines

• 4.6.B

  identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure

• 4.6.C

  apply knowledge of right angles to identify acute, right, and obtuse triangles

• 4.6.D

  classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size

01

What Students Need to Do

Students identify and draw basic geometric parts, including points, lines, rays, segments, angles, and parallel or perpendicular lines. They find and draw lines of symmetry in flat shapes. They classify triangles by angle type and sort other figures by their angles and line relationships.

02

What Mastery Looks Like

Given a diagram, students correctly name points, lines, segments, rays, angles, and parallel or perpendicular line pairs. They draw all lines of symmetry and classify triangles as acute, right, or obtuse. They classify other figures using angle sizes and line relationships, and explain each choice with a visible property.

03

Common Misconceptions

Students often confuse lines, rays, and line segments, especially when arrowheads are missing or overlooked. They may call any intersecting lines perpendicular or think parallel lines must be horizontal. They may classify a square only as a square, miss diagonal symmetry lines, or classify triangles by appearance instead of angle size.

04

How to Assess It

Give an exit ticket with a labeled geometry diagram and three shapes. Ask students to name one point, segment, ray, parallel pair, and perpendicular pair, draw symmetry lines, then classify each shape with one property as evidence.

1. 01

   Give pairs straws, string, and dot stickers to build and label points, rays, segments, parallel lines, perpendicular lines, and angles.

2. 02

   Show a rotated square and ask, "What names fit this shape, and which visible properties prove each name?"

3. 03

   Run a property sort with shape cards labeled by clues such as one right angle, parallel sides, or no symmetry.

4. 04

   Have students photograph classroom objects, then mark parallel lines, perpendicular lines, angle types, and symmetry on printed copies.

• K.6

  The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about...

• 3.6

  The student applies mathematical process standards to analyze attributes of two-dimensional geometric figures to develop generalizations about their properties

• 1.6

  The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about...

• 7.9

  The student applies mathematical process standards to solve geometric problems