Symmetry in Action

10 min

Narrative

This Warm-up prompts students to carefully analyze and compare attributes of two-dimensional figures with attention to the number of sides, symmetry, and presence of parallel and perpendicular lines. In making comparisons, students have a reason to use language precisely (MP6). The activity enables the teacher to observe the attributes that students notice intuitively and hear the terminologies they feel comfortable using.

Launch

  • Groups of 2
  • Display the image.
  • “Pick 3 that go together. Be ready to share why they go together.”
  • 1 minute: quiet think time
Teacher Instructions
  • “Discuss your thinking with your partner.”
  • 2–3 minutes: partner discussion
  • Share and record responses.

Student Task

Which 3 go together?

4 shapes.
4 shapes. A. 4 sides. 1 pair of parallel sides. 2 right angles. B. kite, 2 pairs of equal length sides. 1 right angle between the two shorter sides. C. 2 vertical sides connected to two curves, one at the top, one at the bottom. D. 6 sided figure, shaped like a sideways V, 2 right angles.

Sample Response

Sample responses:

A, B, and C go together because:

  • They show four sides.

A, B, and D go together because:

  • At least 2 sides are the same length.

A, C, and D go together because:

  • They have a right angle.
  • They have one pair of perpendicular sides.

B, C, and D go together because:

  • All segments meet other segments.
Activity Synthesis (Teacher Notes)
  • “What attributes of the figures did you pay attention to as you tried to find which 3 go together?"
  • As students share, highlight the attributes on the images that they are comparing.
  • If no students mention parallel sides as an attribute to consider, ask them about it.
Standards
Addressing
  • 4.G.1·Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
  • 4.G.2·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. Recognize right triangles as a category, and identify right triangles. (Two-dimensional shapes should include special triangles, e.g., equilateral, isosceles, scalene, and special quadrilaterals, e.g., rhombus, square, rectangle, parallelogram, trapezoid.)
  • 4.G.3·Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
  • 4.G.A.1·Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
  • 4.G.A.2·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. Recognize right triangles as a category, and identify right triangles.
  • 4.G.A.3·Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

15 min

20 min