Shapes and Angles

Lesson 15

Math

Unit 8

4th Grade

Lesson 15 of 18

Objective


Draw triangles from given criteria.

Common Core Standards


Core Standards

  • 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

  • 3.G.A.1

Criteria for Success


  1. Draw triangles using a protractor and ruler on grid paper (MP.1, MP.2, MP.5, MP.6).
  2. Draw triangles using a protractor and ruler on blank paper (MP.1, MP.2, MP.5, MP.6).
  3. Analyze statements regarding the classification of triangles (e.g., a right triangle is always scalene) (optional) (MP.3).

Tips for Teachers


Lesson Materials

  • Ruler (1 per student) — This can be any tool used to verify equal lengths, e.g., the edge of a piece of paper, etc.
  • 180° Protractor (1 per student)
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Anchor Tasks

25-30 minutes


Problem 1

Draw three points on the grid below so that when connected they form a triangle. Use your straightedge to connect the three points to form a triangle.

a.   How can you classify your triangle?

b.   What attributes does your triangle have that led you to that classification?

c.   What tools did you use to help you draw your triangle and classify it?

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic D > Lesson 14Application Problem

Grade 4 Mathematics > Module 4 > Topic D > Lesson 14 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 Fishtank Learning, Inc.

Problem 2

Draw an example of each of the following shapes or explain why it’s not possible to draw one.

a.   Right isosceles triangle

b.   Acute scalene triangle

c.   Obtuse equilateral triangle

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic D > Lesson 14Concept Development Problem 1

Grade 4 Mathematics > Module 4 > Topic D > Lesson 14 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 Fishtank Learning, Inc.

Problem Set

15-20 minutes


Discussion of Problem Set

  • In #3, explain why you answered true or false.
  • Discuss your answer to #5. How are these two triangles closely related?
  • In #1 and #2, which of the triangles was most challenging to draw? Why?
  • In #1, when did you need to use your ruler to make sure side lengths were or were not the same length? When was it not necessary to use a ruler?
  • When you were drawing a triangle that had two attributes, how did you determine what to draw first—the side length or the angle measure?
  • Why is it important to verify our triangles’ attributes after we have drawn them?

Target Task

5-10 minutes


Problem 1

Draw a right scalene triangle.

Student Response

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Problem 2

Draw an acute isosceles triangle.

Student Response

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Problem 3

True or false: all triangles have at least 2 acute angles. 

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Analyze and classify quadrilaterals based on parallel and perpendicular lines and the presence or absence of angles of a specified size.

Lesson 16
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Lines and Angles

Topic B: Measures of Angles

Topic C: Measures of Adjacent Angles

Topic D: Shapes and Lines of Symmetry

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