Drawing Triangles (Part 1)

5 min

Narrative

This Warm-up prompts students to compare four images. It gives students a reason to use language precisely (MP6). It gives the teacher an opportunity to hear how students use terminology and talk about characteristics of the items in comparison to one another.

Launch

Arrange students in groups of 2–4. Display the images for all to see. Give students 1 minute of quiet think time and ask them to indicate when they have noticed three images that go together and can explain why. Next, tell students to share their response with their group and then together to find as many sets of three as they can.

Student Task

Which three go together? Why do they go together?

A
Triangle A has 3 60 degree angles and 2 sides with length 3. 

B
Triangle B has angles labeled 130 degrees, 20 degrees, and the side between them length 7. Triangle C has 2 sides length 9, angle 55 degrees. 

C
Triangle C has 2 sides length 9, angle 55 degrees. 

D
Triangle D has one angle marked 90 degrees.

 

Sample Response

Sample responses:
A, B, and C go together because:

  • They do not have a right angle.
  • They have labeled side lengths.

A, B, and D go together because:

  • The angle measurements end in 0.

A, C, and D go together because:

  • They do not have an obtuse angle.
  • They label 1 or 3 angles.

B, C, and D go together because:

  • Not all 3 angles are equal.
  • Not all 3 sides are equal.
     

Synthesis

Invite each group to share one reason why a particular set of three go together. Record and display the responses for all to see. After each response, ask the class if they agree or disagree. Since there is no single correct answer to the question of which three go together, attend to students’ explanations and ensure that the reasons given are correct.

During the discussion, prompt students to explain the meaning of any terminology they use, such as “right angle,” “acute angle,” and “obtuse angle” and to clarify their reasoning as needed. Consider asking:

  • “How do you know . . . ?”
  • “What do you mean by . . . ?”
  • “Can you say that in another way?”
Standards
Addressing
  • 7.G.A·Draw, construct, and describe geometrical figures and describe the relationships between them.
  • 7.G.A·Draw, construct, and describe geometrical figures and describe the relationships between them.

15 min

15 min