Shapes and Angles

Lesson 14

Objective

Analyze and classify triangles based on side length, angle measure, or both.

Common Core Standards

Core Standards

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  • 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.

Foundational Standards

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  • 3.G.A.1

Criteria for Success

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  1. Classify triangles according to their side length, and understand each type as equilateral (has all three sides of equal length), isosceles (has two sides of equal length), and scalene (has no sides of equal length) (MP.2, MP.5).
  2. Classify triangles according to their angle measure and understand each type as acute (has all three angles that are acute), right (has a right angle), and obtuse (has an obtuse angle) (MP.2, MP.5).

Tips for Teachers

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Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

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Anchor Tasks

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Problem 1

  1. Sort the shapes (cut out from Template: Triangles) into as many categories as you’d like. Then explain how you sorted them.
  2. Sort the shapes (cut out from Template: Triangles) in another way. Then explain how you sorted them.

Guiding Questions

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References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic D > Lesson 13Concept Development Problem 2

Grade 4 Mathematics > Module 4 > Topic D > Lesson 13 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

Problem 2

Fill out the following table based on your shapes (Template: Triangles).

Triangle Letter

Attributes

(include side lengths and angle measures)

Classification
A      
B      
C      
D      
E      
F      
G      

Guiding Questions

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Problem Set & Homework

Discussion of Problem Set

  • Which triangles in #1 are right angles? How do you know? 
  • Look at #2. Is scalene a way of classifying a triangle by its side lengths or angles? Can we infer anything about its classification according to angle measure? Can we infer anything about its angle measures at all? 
  • How do the tick marks and angle symbols allow classification of triangles without using tools in #3? 
  • How did you classify the triangle in #4? Explain. 
  • Were the statements in #5 always, sometimes, or never true? How do you know?
  • Were the triangles you drew in #6 more or less difficult to classify than those in #3? Why? 
  • Explain your answer to #8b.

Target Task

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Problem 1

The triangles below have been classified by shared attributes (side length or angle type). Use the words acute, right, obtuse, scalene, isosceles, or equilateral to label the headings to identify the way the triangles have been sorted.

References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic D > Lesson 13Exit Ticket, Question #1

Grade 4 Mathematics > Module 4 > Topic D > Lesson 13 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Problem 2

Draw lines to identify each triangle according to angle type and side length. 

a.

b.

c.

Acute

 

Obtuse

 

Right

 

Isosceles

 

Equilateral

 

Scalene

References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic D > Lesson 13Exit Ticket, Question #2

Grade 4 Mathematics > Module 4 > Topic D > Lesson 13 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

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